ORKUT QUANT DATABASE (Till 29th feb)
1. A rectangle was given, in it another reactangle was inscribed touching two of the sides of larger rectangle. If the larger rectangle length minus smaller rectangle length is 1cm & larger rectangle breadth minus smaller is 1 cm, then find the perimeter of smaller rectangle?
2. What is the nearest integer ofroot 171.
A.12
B.11
C.13
D.14
E.17
3. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
4. Given 'xy' not equal to '0' and 'x' not equal to 'y' and x+y=0
Col a: x-y
Col b: 0
5.Given that, there are fives houses which are to be painted. There is a choice of three colors, and one house will be painted with a single color. In how many ways can the houses be painted?
6. x is an integer such that x > 2
Cola: number of even factors of 2x
Colb: number of odd factors of 3x
7. Find the percent increase in area of a rectangle, if length is increased by 10% and breadth is decreased by 5% ?
8. Given that.. if a Person had sold a Television set for $800, he would have made a 20% profit. Instead, he sold it for a 30% loss. At what price was the Television set sold?
1. If a number is divided by 13 the remainder is 1 and if the same number is divided by 15 it gives a remainder of 8. What is the number?
A.14
B. 29
C. 40
D. 44
E. 53
Sol: E
2. Col a: root 7 - root 6
Col b: 1
3. Given 2 Col A: xyz
Col B: 2
4. Given a triangle ABC(which looks like a right angle triangle) such that the hypotenuse AC = 10, Base BC = 13 and Oppositeside AB = 8
Col A: Angle B
Col B: 90
5. A shopkeeper had T bananas. He sold 60 bananas on the first day at $0.40. If he wanted to sell the remaining bananas on the second day and earn the same total as the previous day at what price should he sell them each?
6. If B purchases x shares for c dollars. Then how many shares B can purchase for d dollars for the same price of 1 share?
7. Out of 10 shirts, 2 are defective. 3 are selected. what is the probabiltiy that none is defective?
8.N^3-N is divisible by which of the following number?
A. 4
B. 5
C. 6
D. 7
E. 8
1. Given a = wx^2y and b = wxy^2. If w=x=y, then
A. a is greater
B. b is greater
C. Both are equal
D. None
2. Given a series of five numbers i.e n+10, n+20, n+30, n+40 and n+50 and Arithematic mean of the series is given as 100.
Col A: Standard deviation
Col B: n
(Question type is similar to this)
3. Find the nearest possible value of Sqrt(171)?
4.If w>0 , z>0 then
Col a: w^4 + z^3
Col b: w^2 + z
5. Two concentric circle were given . A tangent to the smaller circle cuts the larger one into 2 points 'P' and 'T' , if radius of smaller circle is 2 and larger circle is 5, then what is the length of 'PT' segment ?
6. If the volume of a cube is 1 cubic centimeter, then the distance from any vertex to the centre point inside the cube is
A) 1/2
B) 1/sqrt2
C) sqrt2
D) sqrt3/2
E) sqrt3
7. Find the unit digit of the (3127)^173.
1.Given a circle with radius 4 and a chord of length 4 was drawn. Find the length of the smaller arc of the circle made by the end points of the chord.
2. If 1, 5, 6, 8, 9 are five given numbers. 't' is a three digit number formed using three of the above mentioned numbers only once and 'r' is a two digit number formed using two of the above numbers once, what is the smallest possible value of 't-r'?
3. If p and q are prime numbers and pq=15 which of following numbers are divisible by either p or q? Some options were given.....
4. Given A1=2 , An+1=(An-1)^2. Find a17?
5. If x<0
Col A: x-100
Col B: 100 +x
6. Given Set S = {1,2,3,4,6,8} and T = {1,2,3,6,8}.
If S * T = P , i.e if multiply every number of 'S' with 'T' then how many number of total different values we can get in set 'P'?
7. Col A: [root7 - root 6 ]
Col B: 1
1. Given a circle, P and Q are the two points made by 2 tangents on the circle and they meet out side the circle at R, angle PQR is 60 and the area of the minor arc OPQ is 27pi. Find circumference of the circle.
Sol: 18pi
2. W kg feed is sufficient for all dogs for 1 week. If single dog is fed X kg feed twice daily, then
Col A: Total number of dogs
Col B: W/7X
Sol: B
3. Col A: (10^-2)x
Col B: (10^2)x^-1
Sol: D
4. 4(14^10)(7)^2 =
Sol: 14^12
5. The simplified expression of (a+b)^2-(a-b)^2 is
Sol: 4ab
6. Given a Hexagon in 'xy' plane and asked to find the area of the Hexagon?
7. Given an equation x+3y+1=0
Col A: Slope of the line
Col B:-1/2
Sol: A
8. 30% of the members of G are in H,
20% of the members of H are in G.
Col A: Members in G
Col B: Members in H
Sol: D
9. Given five numbers like this....... n, n+20,n+30,n+40,n+50 and Arithematic mean is also given(some value)
(Question is something like this)
Col A: Standard deviation
Col B: n
10. Given two sides of a triangle as 6 and 5 which are opposite to x and y angles and the length of the third side is given as 8.
Col a: x+y
Col b: 90
11. A triangle was given which looked like a right angled triangle, but it did not have the 90 degree sign rather.. all the angles were labled x , y and z and question was which of the following must be true...
A. (a)2 + (b)2 = (c)2
B. Sum of two side is greater than the other side & some other options were given......
Sol: B
12. Given -6<= x<= 4; -10<= y<= 4
What is the greatest value of: -x^2+ y^4
Sol: 10,000
13. K, L, M are 3 prime numbers greater than 10.
Col A: number of factors of KLM and 1 inclusive
col b: 8
1. Given k and n are two points which are on the same side of 0 in the number line.
Col a: k+n
Col b: 0
2. Col a: square root of 35
Col b: 6
3. Given a triangle with sides AB, BC & CD. Find the perimeter of the triangle?
(Question is something like this..)
4. If a number is divided by 13 the remainder is 1 and when the same number is divided by 15 the remainder is 8. What is the number?
5. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
6. A man invites 7 people to party of which 3 of them are close friends and 4 are miscellaneous, he presents 2 gift after the party , find the probability of getting 2 gifts to his close friends?
7. If surface area of a cube is 144. Then Volume of the cube is?
8. If the mean of 3 numbers 2x, 7x, x^2 is 12 then what is the range of the given data?
1. If slope=1/2 & y=-1/3, then
Col A : x-intercept is
Col B: -2/3.
2. A circle is inscribed in a square of side 's'.
Col A: perimeter of circle
Col B: perimeter of square
3.Col A:(1/8)/2
Col B:4
4. If X+Y=0, then
Col A:X-Y
Col B:Y-X
5. If X<2Y & 2Y>X+3 then X=?
6. In a co-ordinate system, if sides of a triangle are (0,0),(8,0) & (8,6) then find the perimeter of triangle?
7. Given a triangle ABC as a right angled triangle, if one of the angle is 45 degrees and AC is hypotenuse then
Col A: AB
Col B: BC
8. In a bag there are 10 balls, in which 5 are red, 3 are green and 2 are blue. If randomly two balls are taken then what is the probabilty that the two balls taken are blue?
9. Given a square which is inscribed in another square & length of the side of larger square is 4 and smaller square is 2. If four edges of the smaller square is joined with four edges of larger square by a line ( to say exactly.... a line from the midpoint of larger square side(edge) is joined to the midpoint of smaller square side... similarly the other sides the two squares are also joined) by this..... 8 trapeziums are formed (2 trapezium per side). Find the perimeter of any one trapezium?
A. 4+(1.414)
B. 4+2(1.414)
C. 6+(1.414)
D. 6+2(1.414)
E. 6+4(1.414)
10. If a company X has 50 employees out of which 36 members are getting above $36,500 salary then
Col A: median of salaries of 50 employees
Col B: $36,500.
11. Find the nearest possible value of Sqrt(131)?
1. Given.... p, q, r are prime numbers.
Col A: Factors of pqr (including) pqr and 1
Col B: 8
2. Given a series a1 , a2 . . . . . If an+1 = (an - 1)^2 - 1 and a1 = 2 then find a17?
3. A square edges are increased by 0.1 inch and if the increase in the area is 0.75 then what is the original edge of the square?
A.3.8
B 3.7
C 3.6
D 3.5
E. 3.4
4. There was a diagram of quadrilateral (like trapezium), two base angles were given as 45 degree & upper 3 sides were given of length x. Find the perimeter of that quadrilateral?
A.(4+root(2))x
B.(4+2*root(2))x
5. A Triangle was given with sides 5 ,6 and 8. Angle opposite to side 5 is 'x' and angle opposite to side 6 is 'y'.
Col A: x+y
Col B: 90
ORKUT QUANT DATABASE (Till 14th feb)
1. Given a circle with radius 4 and a chord of length 4 was drawn. Find the angle made by the chord with the centre of the circle?
A. 2pi/3
B. 4pi/3....
& some more options like this..
2. There are 3 couples and 6 seats are available. In how many ways can the couples be seated so that the husband and wife occupy the adjacent seats.
A. 18
B. 24
& some more options...
3. A triangle with lengths 2x+5, 6-x and 5x+5 is given. Find the perimeter of the triangle?
4. Given a circle inscribed in a square, and measurements are not given.
Col a: The perimeter of the square
Col b: Circumference of a circle
5. Find the nearest possible value of Sqrt(171) ?
A. 13
B. 14
& some more options were given.
ORKUT QUANT DATABASE (Till 13th feb)
1. There are 25 positive integers and each integer is a multiple of m. Highest of these integers is 250.
Col A: m
Col B: 5
2. Given a triangle with its sides labelled as X, Y, Z. Question is each of the following is true EXCEPT
a.Angles make 180
b.X^2+Y^2=Z^2
c.X>Y+Z
d. something....
3. Scott bought x number of things at 50$, y number of things at 100 $ where y is greater then x.
Col A: Mean of X and y
Col B: 50
4. If a>0, then
Col A: |a-8|
Col B: |a|-|8|
5. If a sum of 2000$ was given at rate of 'r' for 1 year on simple interest and at the end of 1 year.. if 150$ was the interest then find value of r?
a. 0.75
b. 0.50
c. 0.075
d. 0.10
6. A semicircle was given with area =2pie. Find the perimeter of the semicircle?
Ans: 2pie+4
7. |x|<= 6, |y|<=4.
Col a: The maximum value of |y/x|
Col b: 1
8. x^2 + y^2 =7
Col a:x+y
Col b:x-y
9. If Perimeter of circle is equal to perimeter of square then find ratio of their areas?
10. Given (m-n) = 4 & m, n are positive integers.
Col A: (-1)^m
Col B: (-1)^n
ORKUT QUANT DATABASE (Till 12th feb)
1. Given a series a1 , a2 . . . . . If an+1 = (an - 1)^2 - 1 and a1 = 2 then find a17?
2. A square edges are increased by 0.1 inch and if the increase in the area is 0.75 then what is the original edge of the square?
A.3.8
B 3.7
C 3.6
D 3.5
E. 3.4
3. Given.... p, q, r are prime numbers.
Col A: Factors of pqr (including) pqr and 1
Col B: 8
4. There was a diagram of quadrilateral (like trapezium), two base angles were given as 40degree & upper 3 sides were given of length x. Find the perimeter of that quadrilateral?
A.(4+root(2))x
B.(4+2*root(2))x
5. A Triangle was given with sides 5 ,6 and 8. Angle opposite to side 5 is 'x' and angle opposite to side 6 is 'y'.
Col A: x+y
Col B: 90
6. Given two points A (x1,y1) & B (x2,y2) such that x1y2
COl A: Slope of line AB
Col B: 0
7. There is a triangle which has all acute angles. If two sides of a triangle are given as 3, 4 then find the range of the third side x?
ORKUT QUANT DATABASE (Till 8th feb)
1. Given two sets of numbers 3,3,3,7,3,3,3 and 5,3,2,6,1,3,5. Which of the following is equal for the two sets?
A. Mean
B. Median
C. Mode
D. None
2. x < y < z
Col a: xy
Col b: yz
3.There are two printers 'p' and 'q', printer 'p' prints 3600 pages in 'x' seconds and printer 'q' prints 3600 pages in 'y' seconds. How pages does it can print in 1sec if they work together?
Ans: 3600/x + 3600/y
4. Given an series of numbers....
Col A: The standand deviation of the series
Col B: The range of the series
5. Given 5 symblos... &, &, *, *, $. Find the number of different ways these five symbols can be arranged?
6. x^2 = 36; x(x+6)(x+8) = 0;
Col A: x
Col B: 0
Ans: B
7.Given |x| = |y| & xy < 0
Col a : x+y
Col b : 0
8. A circle has two tangets at points A and B. They meet at point C outside circle...angle ACB is 50
col A : angle AOB
col B : 110
Ans: A
ORKUT QUANT DATABASE (Till 7th feb)
1. Given a circle with centre 'O' & radius 4. Two tangents are drawn from a point 'S'.... on to the circle at points 'P' and 'R' and joined to 'O'. Find the area of the arc 'POR' if the angle between the two tangents is given as 60degrees.
2. Given a triangle with 8,6,5 as sides. If two angles opposite to 6 and 5 are given as x, y then
Col a : x+y
Col b: 90
3. Given a Rectangular cylinder with volume 1200. If the height of rectangular cylinder is 12 times more than its radius then find the radius of the cylinder?
4. If x=85, then
Col A : cube root of x
Col B : 5.3
5. If #n = (n-1)(n-2)(n-3), then the value of #1+#2+#3+#4 is?
6. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
7. Given xy =! 0, x =! y and x+y=0 ( '=!' means not equal to)
Col a: x-y
Col b: 0
8. F(x) = X^2
Col A: f(x)+1
Col B: f(x+1)
9. Given a fraction '2/7'. What is the 57th decimal of the fraction?
ORKUT QUANT DATABASE (Till 6th feb)
QUANT: 1. Col a: Area of circle with radius '8'
Col b: 3/2 (area of square whose digonal length is 8)
2. 33 1/2 % of 40% of 600 is what % of 160?
3. Train A is traveling on a straight track at a constant speed of 50 km/hr & Train B is traveling on a straight track at a constant speed of 100km/hr.
Col a: distance traveled by train A
Col b: distance traveled by train B
4. Given a semicircle.If the end the angles formed by lines from end points of diameter to the circumference was given 90 and the angle between one of the chords and diameter was 'x'.
Col a :x
Col b :45
5. A square was given and another square was formed by joining mid points of the square. If perimeter of larger square was given k.
Col a: perimeter of smaller square
Col b: k/2
ORKUT QUANT DATABASE (Till 5th feb)
1. In a triangle the three angles are given as X,X,Y. and the avg of two angles is 65, then what is the possible value of Y in the below options?
A. 60
B. 65
C. 70
D. 75
E. 80
Ans: E
2. Given a two figrures, first figure contains a square with a circle of radius of the circle is 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside the square(within the circle) is shaded.
Col A: Area of Shaded region in the first figure
Col B: Area of Shaded region in the Second figure
3. If 2n+1 is the median of seven consecutive integers . What is the mean of the integers?
Ans: 2n+1
4. N divided by 7, leaves remainder of 4. N^2 +5 divided by 7, remainder is?
Sol:0
5. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
Sol: A
6. Given xy$gt;0 & yz<0. Which of the following options are not possible?
A. x>0 & y>0
B. yA<0 & z<0
C. y>0 & z>0
7. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000.
options are like this.....
8. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32. Col A: Measure of angle of Q
Col B: 90
Sol: A
9. Given 6 symbols...... * , * , ? , ? , ? , $. How number of codes that can be formed from left to right using these 6 symbols... such that repeation is not allowed?
10.There was a ladder given. The ladder is of length 5 and it is displaced i.e slanted downwards such that it falls 'x'mts in height and its horizontal length increases by 'y'mts.
Col A: x
Col B: y
11. M^2 = 4^x+4^x+4^x+4^x. What is the value of M
Friday, February 15, 2008
Thursday, January 31, 2008
JANUARY QAUNT
ORKUT QUANT DATABASE (Till Jan 31st)
1. x
B. 3/2
C.-1/2
D.1/2
Ans : -1/2
2. Given a triangle ABC, AD is altitude and D is point on BC. Which of the angles are greater than 90?
A. Angle A
B. Angle B
C. Angle C
D. none of these
Ans: none of these
3. Given that 5(2^2 - 2^n)>20
Col a: n
Col b: 4
Ans: D
4. A man invites 7 people to party of which 3 of them are close friends and 4 are miscellaneous, he presents 2 gift after the party , find the probability of getting 2 gifts to his close friends?
5. If 3 is multiplied by 10 and 3 is added to the result..........and if this process is continued up to ten digits….like 3
3 3
3 3 3
3 3 3 3
.......... so on till 10 digits
Find the sum of all 3's in 100th place?
6. There was series from 1 to n & n is odd... then randomly select a number. Find the probabilty that the number will be odd?
7. Given a fraction 2/7, what is the 57th digit after decimal?
Ans is 5
8. (x - 1/x)/(x +1) = 99. Find (x - 1/x)/(x-1) ?
9. X and Y are positive integers and X-2/10 = Y
Col A: Units digit of Y
Col B: Tens digit of X.
10. Given a two figrures, first figure contains a square with a circle of radius of the circle is 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside the square(within the circle) is shaded.
Col A: Area of Shaded region in the first figure
Col B: Area of Shaded region in the Second figure
11. If 2n+1 is the median of seven consecutive integers . What is the mean of the integers?
Ans: 2n+1
12. Col A: (5-1/4) square+(5+1/4)square
Col B: 50
Ans: A
13. The slope of line XY is given as -1/2.
Col A: X intercept of Line
Col B: Y intercept of Line.
14. There is a code to be made of length of 5 in which it consists of 3 alphabets and 2 digits from 0 to 9. The alphabets 'a,e,i,o,u,y' are not allowed in the alphabets, so how many codes can be made.Repeatitions is allowed in both alphabets and numeric.
Sol: 20*20*20*10*10
15. If q*r^2 <450 and q and r are prime numbers greater than 3. What is the maximum possible value of r?
A. 5
B.11
C.17
D.13
ORKUT QUANT DATABASE (Till Jan 30th)
1. If 7n is a multiple of 4 then how many values of 7n lie between 45 and 75?
2. Column A: The number of even numbers from 1 to 100... whose squares are also within the given range(1 to 100) is
Column B: the number of odd numbers from 1 to 100... whose squares are also within the given range is
3. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
Sol: A
4. If x>0
ColA: (2x)^0+(2x)^1/(2x)^2+(2x)
ColB: 1/x
5. There is a square with side "S" on one of its side there exists a triangle such that side of the square is equal to base of the triangle. if the area of the square is equal to area of triangle then find the height of the triangle in terms of "S"
6. x and y both are on the same side of 0 in number line.
Col A: x + y
Col B: |x+y|
7. In a rectangular co-ordinate system point ( 5,5) is equidistant from pt (x,0) and pt (y,0)
cola : x intercept
col b: y intercept
8. 0.158/ 0.358 =
similar question is asked... but with numerical changes....
ORKUT QUANT DATABASE (Till Jan29th)
1. Given xy>0 & yz<0. Which of the following options are not possible?
A. x>0 & y>0
B. y<0 & z<0
C. y>0 & z>0
2. Given a point (-2,3) which lies on xy plane. What is the x-intercept?
3. (3^x) + 1/ (3^x) = ______ . What is the least possible value of the equation?
A. 0
B. 1
C. 2^(1/3)
D. 3^(1/3)
4. Given there are M oranges, N apples and M+N plums.
Col A: Ratio of apples to oranges
Col B: Ratio of plums to sum of oranges and apples
5. Given a line with points -4, -3, -2, -1, 0, 1, 2, 3, 4. If the points -4, -3, 0, 1, 2, 3, 4 are labelled with alphabets A to G.... then the Mean of these labelled numbers is how much less than median of these labelled numbers?
6. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000.
options are like this.....
7. Given a figure with a square of side 's' and triangle is on this square with its base as the side of the square(the figure looks like .....a triangle placed on the square...but not on the top of the square...... on the bottom side of the square, and this side is considered as traingle base). If the area of triangle = area of square, then find the altitude of triangle in terms of 's' ?
8. Given a line passing through (3,3) and origin. Find the equation of that line?
9. Find (1/16)th% 25?
10. Given (m-n) = 4 & m, n are positive integers.
Col A: (-1)^m
Col B: (-1)^n
11. -8<= n<=10, m+n=4. Find the least possible value of mn?
a. 0
b. -32
c. -140
12. Five numbers are given in options and was asked to find out the number divisible by 3?
13. Given a cuboid is with volume of 18 cubic foot and length 6 inches and was asked to find the out front side area (that means (h*b)..)
14. Given two equations (x^2) - 36=0 and (x^2) - 2x - 48=0 . Find x?
ORKUT QUANT DATABASE (Till Jan28th)
1. If the Median of 7 consecutive even numbers is 2n+2, then what is the Mean of these numbers?
Sol: 2n+2
2. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000........& ...... so on
....... option were like this
3. Given x-intercept as '3' and y-intercept as '3' . Find the line Equation?
A. x/3 - y/3 = 1
B. 3x + 3y = 1
C. x/3 + y/3 = 1
D. x/3 + y/3 = 0
4. x^2 = 36; x(x+6)(x+8) = 0;
Col A: x
Col B: 0
Sol:B
5. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
Sol: A
6.Given a two figrures, first figure contains a square with a circle of radius of the circle is 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside the square(within the circle) is shaded.
Col A: Area of Shaded region in the first figure
Col B: Area of Shaded region in the Second figure
7. Given 6 symbols...... * , * , ? , ? , ? , $. How number of codes that can be formed from left to right using these 6 symbols... such that repeation is not allowed?
8. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D
9. If surface area of a cube is 36. Then Volume of the cube is?
10. Given x<0
Col A: (x-3)(x-4)
Col B: (x-3)^2
ORKUT QUANT DATABASE (Till Jan24th)
1.Col A: 1\(-3)^4
Col B : (-3)^4
Ans: B
2. Given four numbers in series each number is greater then previous one by 5 and when added result should be 111. What's the sequence?
Given 4 options.... question is something like this
3. Given A = (9,9,10,11,11)
B = (8,9,10,11,12)
Col A: standard deviation of A
Col B: standard deviation in B
4. When a number is divisible by 3 then the sum of all its digits is also divisible by 3. Find a number divisible by 3 from the options.
5. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D
6. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
Ans: C
7. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A
8. If area of a square is 'x' and that of a rectangle is 'y', then
Col A: perimeter of square
Col B: perimeter of rectangle
ORKUT QUANT DATABASE (Till Jan23rd)
1. M = 4^x+4^x+4^x+4^x. What is the value of m^2?
2. 1/2-root3=?
3. Given a square with a circle inscribed in it and the radius of the circle is 'r'. Another circle is given with a square inscribed in it and the radius of this circle is also 'r'.
Col A: Area of a circle inscribed in square
Col B: Area of a circle in which square is inscribed
4. Find the total number of diagnals of hexagon?
5. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
6. Given x
Col B: yz
7. If surface area of a cube is 36. Then Volume of the cube is?
ORKUT QUANT DATABASE (Till Jan22nd)
1. When a number is divisible by 3 then the sum of all its digits is also divisible by 3. Find a number divisible by 3 from the options. This was the Question given ......
2. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
3. In a company, they decided to give a code to each.... and every employee need to have it. The code would be having first four alphabets from 'a' to 'z' but it should not be 'a' , 'e' , 'i' , 'o' , 'u' & 'p' and last three digits can be any from 0 to 9. If the numbers can be repeated then the total number of codes that can be generated from these digits is?
4. x and y both are on the same side of 0 in number line.
Col A: x + y
Col B: |x+y|
5. Given a square with a circle inscribed in it and the radius of the circle is 'r'.Another circle is given with a square inscribed in it and the radius of this circle is also 'r'. What is the ratio of area of smaller circle to area of larger circle?
6. Given a figure with a.... 12 sided polygon drawn inside the circle. Find the each interior angle?
7. Col a: /-2x+1/
Col b: /-2x/+1/
ORKUT QUANT DATABASE (Till Jan21st)
1. Given a traingle of two equal sides and the angle between them is 60 degress. If a semicircle whose arc length is '50pi' is drawn on the side opposite to 60 degree. Find the perimeter of triangle?
2. Given a tank with 'g'gallons of liquid which is present at 1'clock. If a pipe of 'X'litres/min was inserted into the tank and another pipe of 'Y' litres/min was inserted as an outlet pipe at the same time, then at what time the tank was (g/2)gallons?
3. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
Ans: C
4. A plane was flying from city 'M' to 'P' whose distance was 500 miles. While travelling from M to P it travelled at a speed of 500miles/hr and during the return trip it travelled at a speed of 400 miles/hr.
Col A :The average speed of the trip is
Col B : 450miles/hour
5. If (101, 202) , (-1,Something number) and (x,3) are three points on a line then find the value of x?
6. Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?
Ans: 37.5 miles
7. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
8. |x-7|<2 and y<0
Col A: xy
Col B: 9
ORKUT QUANT DATABASE (Till Jan18th)
1. Compare the standard deviation of the following numbers.
Col A: 9,9,10,11,11
Col B: 6, 8,10,12,14
Ans: B
2. There are six special characters like ^, &, *, $, @, %. How many different patterns can be formed using all six characters. Given that repeation is not allowed.
Ans: 720
3. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
Ans: C
4. 0.3187/15.92
Ans: 0.02
5. A triangle was given whose perimeter was 32 and two of its sides were given as 12 & 13. (Question was given like this..... they had shown a right angled triangle in figure but did not marked angle as right angled it was marked as X. Side opposite to it was marked as 13 and one of the adjacent sides was given as 12.
Col A : X
Col B : 90
6. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
7. A rope of length x is cut into two halves. One of the length exceeds the other by 5
Col a: length of the shorter one
Col b: x-5
ORKUT QUANT DATABASE (Till Jan17th)
1. There is a triangle which has all acute angles. If two sides of a triangle are given as 3, 4 then find the range of the third side x?
2. 5(2^n-1)=20
Col A: n
Col B: 4
3. There was a ladder given. The ladder is of length 5 and it is displaced i.e slanted downwards such that it falls 'x'mts in height and its horizontal length increases by 'y'mts.
Col A: x
Col B: y
4. Given a square with a circle inscribed in it and the radius of the circle is 'r'. Another circle is given with a square inscribed in it and the radius of this circle is also 'r'.
Col A: The difference in area of the first square and circle
Col B: The difference in area of the second square and circle
5. -8<= n<=10, m+n=4. Find the least possible value of mn?
a. 0
b. -32
c. -140
6. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D
7. Col A : sqrt ((2x-5)square + 5) ('x' value is given some range..)
Col B : 2
8. If [{x-(1/x)} / (x-1)] = 100, then find [{x-(1/x)}/(x+1)] ?
9. Compare the standard deviation of the following numbers.
Col A: 9,9,10,11,11
Col B: 6, 8,10,12,14
10. If 20 men can do a work in 10days... working 4hrs a day, then how many days will 10 men take to complete the same work ..... provided if they work 6hrs a day?(All the values mentioned in this Question are assumed values).
ORKUT QUANT DATABASE (Till Jan15th)
1. There are six special characters like ^, &, *, $, @, %. How many different patterns can be formed using all six characters. Given that repeation is not allowed.
2. Two shelf T and S are given. If 3 books from S shelf are replaced to T shelf then the number of books become equal. If 7 books from T are replaced to S shelf then 3 times books in T is equal to S. What are the total number of books?
3. Diagram was given of a square WSRT, from W vertex it is rotated 90 counterclockwise. The square so formed is WTR'S'. (Consider that W is in the left down vertex). Find how much distance does R has travelled if the side of the square is 2.(Question is something like this)
a. 2
b. 4
c. pie/2
d. 2root(2)/pie
4. Col A: |-x-y|
Col B: x+y
5. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?
6.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d
7. Given xy is not equal to 0
(x)^-1 - (y)^-1 = (xy)^-1
Col a: x-y
Col b: 1
8. If there are 'c' cartons and each carton has 'x' boxes which is being loaded in a truck in 'h' hours and 't' minutes.
Col a : The average time for loading the 'x' boxes of all cartons
Col b: cx / (h+t/60)
9. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
10. Given there are 50 numbers, if the average of the first 25 numbers is 16 ,next 10 numbers is 15 and the last set is 20. What is the average of the entire set ?
ORKUT QUANT DATABASE (Till Jan14th)
1. Given a series -9, 10,-11, 12,-13..... ,here all odd numbers are negative and all even numbers are positive.
Col A: the sum of the series(no's) till 100 is
COl B: XXX(some number)
2. Given a regular polygon with 12 sides.Find the measure of each angle?
Question is something like this....
3. |x-2|<1 and y<0 Col A: xy
Col B: 3
4. Given a fraction 20/7. What is the digit at 57th decimal place of the given fraction value?
5. Given a triangle with one angle 60degree and with a semicircle on the side opposite to the angle mentioned in the corner.If the two sides of the triangle adjacent to angle mentioned in the corner were 'x' units each then find the area of the traingle? Given Circumference of the semicircle as 15pie.
6. Find (x-2)^2 - (x-5)^2
7. What is the value 20% of 25% of 678?
8. There was a circle to which two tangents were droped and these tangents meet each other at a point outside the circle making an angle 'x'degrees, with centre 'O' which is extended to both the tangents.If the Angle at centre 'O' is 65 degrees then What is the value of x degrees?
9. Given that a Square is inscribed in a circle and the diameter of circle is equal to diagonal of square.If the radius of the circle is given as 'x' then find the area of square?
ORKUT QUANT DATABASE (Till Jan11th)
1. Given A1, A2, A3,......An,... is a series such that An= An - An-1, for 2>n. If A1= -5, A2= 4, find the sum of first 100 numbers of the series?
2. Given a triangle RST, RS = 4 & ST = 3 and the angles at R,S,T are less than 90 degrees. If TR = y then the range of y is?
3. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
4. Train A is traveling on a straight track at a constant speed of 60 km/hr & Train B is traveling on a straight track at a constant speed of 100km/hr
Col a: distance traveled by train A
Col b: distance traveled by train B
6. Given a four sided Polygon is with 4 angles x, 2x, 3x, 4x. Find x?
Ans: 36
7. Find the value of 0.01590/30.10....
8. Given two figures one is....a circle with radius 'r'.. inscribed in a square, and other is a square of diagonal 'r' inscribed in a circle.
Col a: Area of shaded region in figure A
Col b: Area of shaded region in figure B
9. Find (1/16)th% 25?
10. In a triangle ABC, Angle B+Angle C =90.
Col a: side AB
Col b: side CA
Ans: D
ORKUT QUANT DATABASE (Till Jan10th)
1. Given a number '2/7'.Find the fifty seventh number after the decimal point
a.2
b.8
c.5
d.7
e.1
Ans: 5
2.
Given a circle with centre ‘T’ and ‘CTO’ as the diameter. If the line’s’ is a tangent to the circle, then find the angle ‘SOT’? Ans: 45 degrees
3. A line segment 'AG' was given.'AG 'is divided into equal parts (with equal distance)... Actual figure is like this…….. A line with A, B, C, D, E, F, G points on the line segment with equal distance between them. If the value at point A is
-2.4 & value at end point G is 10.8, then find the value of 'E'?
Ans: 6.4
4. Given xy is not equal to 0 and x is not equal to y and x+y=0
Col a: x-y
Col b: 0
Ans: D
5. If 3 is multiplied by 10 and 3 is added to the result..........and if this process is continued up to ten digits….like 3
3 3
3 3 3
3 3 3 3
.......... so on till 10 digits
Find the sum of all 3's in 100th place?
6. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
7. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
8. When a number is multiplied by 13, it will become greater to 105 by an amount with which it is lesser to105 by now. What is the number?
Ans: 15
9. Given x Col A: xy
Col B: yz
ORKUT QUANT DATABASE (Till Jan9th)
1. Given xy is not equal to 0 and x is not equal to y and x+y=0
Col a: x-y
Col b: 0
Ans:D
2. The average height of 4 players is 6 feet and 6 inch. If the shortest one is of height 6 feet and 3 inch. What could be the height of the longest person.(Given 1 foot = 12 inches)
Question is similar to this.... with some numerical changes
3. Given 1 kilometer is 0.62 miles.. so how many kilometers is 50 miles?
Ans: 80.64km
4. If there are 'c' cartons and each carton has 'x' boxes which is being loaded in a truck in 'h' hours and 't' minutes.
Col a : The average time for loading the 'x' boxes of all cartons
Col b: cx / (h+t/60)
5. If x< x^3< x^2.Then the value of 'x' is
a. -3/2
b. -1/2
c. 0
d. 1/2
e. 3/2
Ans: b
6. If m= 4^x+4^x+4^x+4^x, then what is m^2?
Ans: 4^2(x+1)
7. If a plane takes 't' seconds to cover a distance of 'y'km. Then how much time is required to cover 'x' distance(in HOURS)? Question is similar to this.... with some numerical changes.
Ans: (x*t) / (3600*y)
8. Given two figures..... one is a circle inscribed in a square and other is a square inscribed in circle. If both have a common radius 'r' then find the area of the two? (Its a comparison question)
9. Find the area enclosed by the region in square units described by 0<=X<=5 and 0<=|y|<=8
1)40 2)80 3)160 4)120
ORKUT QUANT DATABASE (Till Jan8th)
1. The series in which a1= 3 ... and an = a(n-1)+3 (here n-1 is the suffix)
Col a: a100(here 100 is suffix)
Col b: 240
2. There is a series of odd numbers from 1 to n where n is a odd number. What is the probability that a number selected at random will be an odd number?
3. Col a: (3^-8 ) - (3^-9)- (3^-9)
Col b: 3^-9
ORKUT QUANT DATABASE (Till Jan7th)
1. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?
2. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
3. A group of 1 proffessor and 3 students have to be made from 4 proffessor and 5 students.
Col a: Different ways in which the groups can be formed
Col b: 40
Ans: C
4. Given -14, -11, -7 , 9, 10,13.... is the series
I. Median is greater than mean
II. S.D is greater than range
III. Mean is greater than median
A.1 only
B. 1 and 2 only
C.1,2 an 3 only
D. None of these
5. Col A: [(2+ sqrt(3)) / (2 - sqrt(3)]^3
Col B: (10^6 / 3^6)
Ans:A
6.There is a bag which contains ribbons of lengths 8m and 14m. If the total length of all threads is 100sq.m.
Col A: number of threads of length 8m
Col B: number of threads of length 14m
Ans: D
7. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
8. Given that a Square is inscribed in a circle and the diameter of circle is equal to diagonal of square and radius of the circle is also given and the question was asked to find the area of square?
Question is something similar to this......
9. Given a semicircle and there was a triangle inscribed in it, such that the base of triangle is same as diameter of circle.The other side of triangle was on the curve of a circle(it made 90 degree) and question was asked to compare the other angle with 45.
Question is something like this....
ORKUT QUANT DATABASE (Till Jan4th)
1. If 'n' is a odd number then n^2 -1 is a multiple of
a. 8
b. 12..... etc..
Ans: a
2. Given x+y=43 and x, y are positive primes. Then
Col a: xy
Col b: 86
Ans:B
3. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
4. Which of the following option has got both mean and median same
a)x,x+a,x+22
b)x,x/a,x/2a
c)1/x........
5. Col a: (0.4)^0.5*(0.4)^0.4
COl b: (0.4)^10
6. Given a square with its side 'X'(some value) and another square is incribed in this square, and it is also given that the distance between inner square and outer square is 'Y'(some value). Find the area of inner square?
Question is something like this............
7. What is the value 20% of 25% of 678?
8. Col a: /-2x+1/
Col b: /-2x/+1/
9. If P(A) and P(B) are two independent events then the probability of occuring both the events together is?
10. Given an equation y^2-2y-3=4 and the roots of this equation were also given and was asked to find the roots of (x-2)^2-2(x-2)-3=4
11. Given a bag which contains threads of lengths 8m and 14m. If the total length of all threads is 100sq.m.
Col A: number of threads of length 8m
Col B: number of threads of length 14m
Ans: D
12. Given... a square inscribed in a circle with its radius 'r' then Find the area of the square?
13. Given three points p, q, r as (1,4) (2,c) (4,8) and if the value of c is greater than 4
Col a:pq
Col b:qr
14. For any positive integer value, which of the following expression is equivalent to [(x^2 * y) + (y^2 * x)] expresion.
a.x^2*y^2
b.xy+(2x+y)
c.x^2+y
15. If A's speed is 50 km/h and B's speed is 55 km/h. If 'A' covers a distance 'x' in 5 hours, then how much time will 'B' take to cover the same distance.
16. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?
17. Given a series like this.............5-2x, 5-x, 5, 5+x, 5+2x.
Col A: standard of the given series
Col B: the greatest value in the given series
18. If d
Col B: a+b
19. If the amount of an an material has decreased from 4950 to 3495. What is the percentage decrease of that material?
20. If k-3 is multiple of 5 and k+2 is multiple of 3 then what is k^2?
A. 16
B.13
c.4
21. If 7n is a multiple of 4 then how many values of 7n lie between 45 and 75?
22. There was a circle to which two tangents were droped and these tangents meet each other at a point outside the circle making an angle 'x'degrees, with centre O which is extended to both the tangents. Angle at centre O is 65 degrees. What is the value of x degrees?
23. If x>0
ColA: (2x)^0+(2x)^1/(2x)^2+(2x)
ColB: 1/x
24. Given a line equation. Which of the following is a parallel line to the given line
Options: ............
Question is something like this........
Hint: This is an optional based question.. check the 4 options for the same slope as the given line
ORKUT QUANT DATABASE (Till Jan3rd)
1. Given... a square inscribed in a circle with its radius 'r' then Find the area of the square?
2. Given Speed in km/hr...whats the speed in miles/sec?
3. |x+3|<5
Col A: x
Col B: -8
4. Given Mean marks of seniors in a class is 92 and of juniors is 88 then
Col A: Combined mean of seniors & Juniors is
Col B: 90
5. F(x) = X^2
Col A: f(x)+1
Col B: f(x+1)
Ans: D
6. |x-3|=5
Col A: (4-x)^2
Col B: (4+x)^2
7.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d
8. Given an equation x/7+w/28=1
Find the number of positive integer solutions for this equation?
9. Given a figure like Rhombus with its area 40 and one of its diagonal is given as 8. Then what is the length of other diagonal is?
Ans: 10
10. Another question on ... equation of speed .
ORKUT QUANT DATABASE (Till Jan1st)
1. x
Col b: y-x
Ans: D
2. Given x>100 rounded off value of
2-1/x
--------- is
2+2/x
a. 2
b.1
c.3
d.5
Ans: b
3. Given Points (-5,-7) and (3,-4) lie on the line, if point (x,13) lies on the same line, find x?
4.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d
5. When 't' is divided by 9, the remainder is 1 and when it is divided by 11 remainder is 8. Find 't'?
Ans:19
6. Col A: 1/ (0.01)^-10
Col B: 1/10^-20
Ans: B
7.If surface area of a cube is 36. Then Volume of the cube is?
Col a: volume of cube
Col b.15
8. A number 'N' is a 3 digit postive number. If 'X' is its hundredth digit & 'Y' is its units digit then the number 'N- 100X-Y ' will be divisible by which one of the following number.
a)3 b) 4 c) 5 d) 7
Ans: C
9. n is +ve number.....x is units digit of 7^n and y is units digit of 3^n
Col a: x-y
Col b: 0
Ans: D
10. Given Marks in each subject should not exceed 100. Juniors average and senoirs average on final exam were given some values like XX and XX. Find the total averge on final exam of both .(its a comparision question)
11. How many values does 3 mod x-2<9 has??
12. A rope of length x is cut into two halves. One of the length exceeds the other by 5
Col a: length of the shorter one
Col b: x-5
13. Which pair have their Arithmetic mean and median equal
l. x,x+1,x+2,x+3,x+4
II. x,2x,3x,4x,5x
III. 1/x,2/x,3/x,4/x,5/x
14. X purchases n bottles for total XX.Rs and Y purchases 2n bottles for total XX.Rs
Col a :Amount by which X 's amount exceeds Y per bottle
Col b :5/n
(question is something like this...... so you can try this problem with some assumed values)
1. x
B. 3/2
C.-1/2
D.1/2
Ans : -1/2
2. Given a triangle ABC, AD is altitude and D is point on BC. Which of the angles are greater than 90?
A. Angle A
B. Angle B
C. Angle C
D. none of these
Ans: none of these
3. Given that 5(2^2 - 2^n)>20
Col a: n
Col b: 4
Ans: D
4. A man invites 7 people to party of which 3 of them are close friends and 4 are miscellaneous, he presents 2 gift after the party , find the probability of getting 2 gifts to his close friends?
5. If 3 is multiplied by 10 and 3 is added to the result..........and if this process is continued up to ten digits….like 3
3 3
3 3 3
3 3 3 3
.......... so on till 10 digits
Find the sum of all 3's in 100th place?
6. There was series from 1 to n & n is odd... then randomly select a number. Find the probabilty that the number will be odd?
7. Given a fraction 2/7, what is the 57th digit after decimal?
Ans is 5
8. (x - 1/x)/(x +1) = 99. Find (x - 1/x)/(x-1) ?
9. X and Y are positive integers and X-2/10 = Y
Col A: Units digit of Y
Col B: Tens digit of X.
10. Given a two figrures, first figure contains a square with a circle of radius of the circle is 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside the square(within the circle) is shaded.
Col A: Area of Shaded region in the first figure
Col B: Area of Shaded region in the Second figure
11. If 2n+1 is the median of seven consecutive integers . What is the mean of the integers?
Ans: 2n+1
12. Col A: (5-1/4) square+(5+1/4)square
Col B: 50
Ans: A
13. The slope of line XY is given as -1/2.
Col A: X intercept of Line
Col B: Y intercept of Line.
14. There is a code to be made of length of 5 in which it consists of 3 alphabets and 2 digits from 0 to 9. The alphabets 'a,e,i,o,u,y' are not allowed in the alphabets, so how many codes can be made.Repeatitions is allowed in both alphabets and numeric.
Sol: 20*20*20*10*10
15. If q*r^2 <450 and q and r are prime numbers greater than 3. What is the maximum possible value of r?
A. 5
B.11
C.17
D.13
ORKUT QUANT DATABASE (Till Jan 30th)
1. If 7n is a multiple of 4 then how many values of 7n lie between 45 and 75?
2. Column A: The number of even numbers from 1 to 100... whose squares are also within the given range(1 to 100) is
Column B: the number of odd numbers from 1 to 100... whose squares are also within the given range is
3. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
Sol: A
4. If x>0
ColA: (2x)^0+(2x)^1/(2x)^2+(2x)
ColB: 1/x
5. There is a square with side "S" on one of its side there exists a triangle such that side of the square is equal to base of the triangle. if the area of the square is equal to area of triangle then find the height of the triangle in terms of "S"
6. x and y both are on the same side of 0 in number line.
Col A: x + y
Col B: |x+y|
7. In a rectangular co-ordinate system point ( 5,5) is equidistant from pt (x,0) and pt (y,0)
cola : x intercept
col b: y intercept
8. 0.158/ 0.358 =
similar question is asked... but with numerical changes....
ORKUT QUANT DATABASE (Till Jan29th)
1. Given xy>0 & yz<0. Which of the following options are not possible?
A. x>0 & y>0
B. y<0 & z<0
C. y>0 & z>0
2. Given a point (-2,3) which lies on xy plane. What is the x-intercept?
3. (3^x) + 1/ (3^x) = ______ . What is the least possible value of the equation?
A. 0
B. 1
C. 2^(1/3)
D. 3^(1/3)
4. Given there are M oranges, N apples and M+N plums.
Col A: Ratio of apples to oranges
Col B: Ratio of plums to sum of oranges and apples
5. Given a line with points -4, -3, -2, -1, 0, 1, 2, 3, 4. If the points -4, -3, 0, 1, 2, 3, 4 are labelled with alphabets A to G.... then the Mean of these labelled numbers is how much less than median of these labelled numbers?
6. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000.
options are like this.....
7. Given a figure with a square of side 's' and triangle is on this square with its base as the side of the square(the figure looks like .....a triangle placed on the square...but not on the top of the square...... on the bottom side of the square, and this side is considered as traingle base). If the area of triangle = area of square, then find the altitude of triangle in terms of 's' ?
8. Given a line passing through (3,3) and origin. Find the equation of that line?
9. Find (1/16)th% 25?
10. Given (m-n) = 4 & m, n are positive integers.
Col A: (-1)^m
Col B: (-1)^n
11. -8<= n<=10, m+n=4. Find the least possible value of mn?
a. 0
b. -32
c. -140
12. Five numbers are given in options and was asked to find out the number divisible by 3?
13. Given a cuboid is with volume of 18 cubic foot and length 6 inches and was asked to find the out front side area (that means (h*b)..)
14. Given two equations (x^2) - 36=0 and (x^2) - 2x - 48=0 . Find x?
ORKUT QUANT DATABASE (Till Jan28th)
1. If the Median of 7 consecutive even numbers is 2n+2, then what is the Mean of these numbers?
Sol: 2n+2
2. A person sells 1000 articles at no profit and no loss. If he sells each item after 1000 articles at 0.5$, then he gets a profit of 'P'$. How many such articles did he sold?
A. 2P+1000
B. P/2 +1000........& ...... so on
....... option were like this
3. Given x-intercept as '3' and y-intercept as '3' . Find the line Equation?
A. x/3 - y/3 = 1
B. 3x + 3y = 1
C. x/3 + y/3 = 1
D. x/3 + y/3 = 0
4. x^2 = 36; x(x+6)(x+8) = 0;
Col A: x
Col B: 0
Sol:B
5. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
Sol: A
6.Given a two figrures, first figure contains a square with a circle of radius of the circle is 'r' inscribed in it and the area outside the circle(within the square) is shaded . Second figure contains a circle radius of 'r' with a square inscribed in it and the area outside the square(within the circle) is shaded.
Col A: Area of Shaded region in the first figure
Col B: Area of Shaded region in the Second figure
7. Given 6 symbols...... * , * , ? , ? , ? , $. How number of codes that can be formed from left to right using these 6 symbols... such that repeation is not allowed?
8. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D
9. If surface area of a cube is 36. Then Volume of the cube is?
10. Given x<0
Col A: (x-3)(x-4)
Col B: (x-3)^2
ORKUT QUANT DATABASE (Till Jan24th)
1.Col A: 1\(-3)^4
Col B : (-3)^4
Ans: B
2. Given four numbers in series each number is greater then previous one by 5 and when added result should be 111. What's the sequence?
Given 4 options.... question is something like this
3. Given A = (9,9,10,11,11)
B = (8,9,10,11,12)
Col A: standard deviation of A
Col B: standard deviation in B
4. When a number is divisible by 3 then the sum of all its digits is also divisible by 3. Find a number divisible by 3 from the options.
5. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D
6. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
Ans: C
7. A price of product x is increased by p% to give new price y and then price of y is reduced by r% to give original price.
Col A: p
Col B: r
Ans: A
8. If area of a square is 'x' and that of a rectangle is 'y', then
Col A: perimeter of square
Col B: perimeter of rectangle
ORKUT QUANT DATABASE (Till Jan23rd)
1. M = 4^x+4^x+4^x+4^x. What is the value of m^2?
2. 1/2-root3=?
3. Given a square with a circle inscribed in it and the radius of the circle is 'r'. Another circle is given with a square inscribed in it and the radius of this circle is also 'r'.
Col A: Area of a circle inscribed in square
Col B: Area of a circle in which square is inscribed
4. Find the total number of diagnals of hexagon?
5. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
6. Given x
Col B: yz
7. If surface area of a cube is 36. Then Volume of the cube is?
ORKUT QUANT DATABASE (Till Jan22nd)
1. When a number is divisible by 3 then the sum of all its digits is also divisible by 3. Find a number divisible by 3 from the options. This was the Question given ......
2. A triangle PQR was given in which lengths of two sides were given as QR = 12 , PR = 13 and the perimeter of the triangle was 32.
Col A: Measure of angle of Q
Col B: 90
3. In a company, they decided to give a code to each.... and every employee need to have it. The code would be having first four alphabets from 'a' to 'z' but it should not be 'a' , 'e' , 'i' , 'o' , 'u' & 'p' and last three digits can be any from 0 to 9. If the numbers can be repeated then the total number of codes that can be generated from these digits is?
4. x and y both are on the same side of 0 in number line.
Col A: x + y
Col B: |x+y|
5. Given a square with a circle inscribed in it and the radius of the circle is 'r'.Another circle is given with a square inscribed in it and the radius of this circle is also 'r'. What is the ratio of area of smaller circle to area of larger circle?
6. Given a figure with a.... 12 sided polygon drawn inside the circle. Find the each interior angle?
7. Col a: /-2x+1/
Col b: /-2x/+1/
ORKUT QUANT DATABASE (Till Jan21st)
1. Given a traingle of two equal sides and the angle between them is 60 degress. If a semicircle whose arc length is '50pi' is drawn on the side opposite to 60 degree. Find the perimeter of triangle?
2. Given a tank with 'g'gallons of liquid which is present at 1'clock. If a pipe of 'X'litres/min was inserted into the tank and another pipe of 'Y' litres/min was inserted as an outlet pipe at the same time, then at what time the tank was (g/2)gallons?
3. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
Ans: C
4. A plane was flying from city 'M' to 'P' whose distance was 500 miles. While travelling from M to P it travelled at a speed of 500miles/hr and during the return trip it travelled at a speed of 400 miles/hr.
Col A :The average speed of the trip is
Col B : 450miles/hour
5. If (101, 202) , (-1,Something number) and (x,3) are three points on a line then find the value of x?
6. Two cyclists are moving towards each other at 10 miles/hour. They are now 50 miles apart. At this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other. If the fly is moving at 15 miles/hour, what is the total distance covered by the fly?
Ans: 37.5 miles
7. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
8. |x-7|<2 and y<0
Col A: xy
Col B: 9
ORKUT QUANT DATABASE (Till Jan18th)
1. Compare the standard deviation of the following numbers.
Col A: 9,9,10,11,11
Col B: 6, 8,10,12,14
Ans: B
2. There are six special characters like ^, &, *, $, @, %. How many different patterns can be formed using all six characters. Given that repeation is not allowed.
Ans: 720
3. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
Ans: C
4. 0.3187/15.92
Ans: 0.02
5. A triangle was given whose perimeter was 32 and two of its sides were given as 12 & 13. (Question was given like this..... they had shown a right angled triangle in figure but did not marked angle as right angled it was marked as X. Side opposite to it was marked as 13 and one of the adjacent sides was given as 12.
Col A : X
Col B : 90
6. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
7. A rope of length x is cut into two halves. One of the length exceeds the other by 5
Col a: length of the shorter one
Col b: x-5
ORKUT QUANT DATABASE (Till Jan17th)
1. There is a triangle which has all acute angles. If two sides of a triangle are given as 3, 4 then find the range of the third side x?
2. 5(2^n-1)=20
Col A: n
Col B: 4
3. There was a ladder given. The ladder is of length 5 and it is displaced i.e slanted downwards such that it falls 'x'mts in height and its horizontal length increases by 'y'mts.
Col A: x
Col B: y
4. Given a square with a circle inscribed in it and the radius of the circle is 'r'. Another circle is given with a square inscribed in it and the radius of this circle is also 'r'.
Col A: The difference in area of the first square and circle
Col B: The difference in area of the second square and circle
5. -8<= n<=10, m+n=4. Find the least possible value of mn?
a. 0
b. -32
c. -140
6. m(square)+n(square)=17
Col A : m+n
Col B: 5
Ans: D
7. Col A : sqrt ((2x-5)square + 5) ('x' value is given some range..)
Col B : 2
8. If [{x-(1/x)} / (x-1)] = 100, then find [{x-(1/x)}/(x+1)] ?
9. Compare the standard deviation of the following numbers.
Col A: 9,9,10,11,11
Col B: 6, 8,10,12,14
10. If 20 men can do a work in 10days... working 4hrs a day, then how many days will 10 men take to complete the same work ..... provided if they work 6hrs a day?(All the values mentioned in this Question are assumed values).
ORKUT QUANT DATABASE (Till Jan15th)
1. There are six special characters like ^, &, *, $, @, %. How many different patterns can be formed using all six characters. Given that repeation is not allowed.
2. Two shelf T and S are given. If 3 books from S shelf are replaced to T shelf then the number of books become equal. If 7 books from T are replaced to S shelf then 3 times books in T is equal to S. What are the total number of books?
3. Diagram was given of a square WSRT, from W vertex it is rotated 90 counterclockwise. The square so formed is WTR'S'. (Consider that W is in the left down vertex). Find how much distance does R has travelled if the side of the square is 2.(Question is something like this)
a. 2
b. 4
c. pie/2
d. 2root(2)/pie
4. Col A: |-x-y|
Col B: x+y
5. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?
6.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d
7. Given xy is not equal to 0
(x)^-1 - (y)^-1 = (xy)^-1
Col a: x-y
Col b: 1
8. If there are 'c' cartons and each carton has 'x' boxes which is being loaded in a truck in 'h' hours and 't' minutes.
Col a : The average time for loading the 'x' boxes of all cartons
Col b: cx / (h+t/60)
9. Given |x| = |y| & xy<0
Col a : x+y
Col b : 0
10. Given there are 50 numbers, if the average of the first 25 numbers is 16 ,next 10 numbers is 15 and the last set is 20. What is the average of the entire set ?
ORKUT QUANT DATABASE (Till Jan14th)
1. Given a series -9, 10,-11, 12,-13..... ,here all odd numbers are negative and all even numbers are positive.
Col A: the sum of the series(no's) till 100 is
COl B: XXX(some number)
2. Given a regular polygon with 12 sides.Find the measure of each angle?
Question is something like this....
3. |x-2|<1 and y<0 Col A: xy
Col B: 3
4. Given a fraction 20/7. What is the digit at 57th decimal place of the given fraction value?
5. Given a triangle with one angle 60degree and with a semicircle on the side opposite to the angle mentioned in the corner.If the two sides of the triangle adjacent to angle mentioned in the corner were 'x' units each then find the area of the traingle? Given Circumference of the semicircle as 15pie.
6. Find (x-2)^2 - (x-5)^2
7. What is the value 20% of 25% of 678?
8. There was a circle to which two tangents were droped and these tangents meet each other at a point outside the circle making an angle 'x'degrees, with centre 'O' which is extended to both the tangents.If the Angle at centre 'O' is 65 degrees then What is the value of x degrees?
9. Given that a Square is inscribed in a circle and the diameter of circle is equal to diagonal of square.If the radius of the circle is given as 'x' then find the area of square?
ORKUT QUANT DATABASE (Till Jan11th)
1. Given A1, A2, A3,......An,... is a series such that An= An - An-1, for 2>n. If A1= -5, A2= 4, find the sum of first 100 numbers of the series?
2. Given a triangle RST, RS = 4 & ST = 3 and the angles at R,S,T are less than 90 degrees. If TR = y then the range of y is?
3. In a class of 20 students, one half of the students are boys, if a teacher has to select 7 students and the first 6 are girls
Col a: What is the probability that the 7th student is a girl
Col b:2/7
4. Train A is traveling on a straight track at a constant speed of 60 km/hr & Train B is traveling on a straight track at a constant speed of 100km/hr
Col a: distance traveled by train A
Col b: distance traveled by train B
6. Given a four sided Polygon is with 4 angles x, 2x, 3x, 4x. Find x?
Ans: 36
7. Find the value of 0.01590/30.10....
8. Given two figures one is....a circle with radius 'r'.. inscribed in a square, and other is a square of diagonal 'r' inscribed in a circle.
Col a: Area of shaded region in figure A
Col b: Area of shaded region in figure B
9. Find (1/16)th% 25?
10. In a triangle ABC, Angle B+Angle C =90.
Col a: side AB
Col b: side CA
Ans: D
ORKUT QUANT DATABASE (Till Jan10th)
1. Given a number '2/7'.Find the fifty seventh number after the decimal point
a.2
b.8
c.5
d.7
e.1
Ans: 5
2.
Given a circle with centre ‘T’ and ‘CTO’ as the diameter. If the line’s’ is a tangent to the circle, then find the angle ‘SOT’? Ans: 45 degrees
3. A line segment 'AG' was given.'AG 'is divided into equal parts (with equal distance)... Actual figure is like this…….. A line with A, B, C, D, E, F, G points on the line segment with equal distance between them. If the value at point A is
-2.4 & value at end point G is 10.8, then find the value of 'E'?
Ans: 6.4
4. Given xy is not equal to 0 and x is not equal to y and x+y=0
Col a: x-y
Col b: 0
Ans: D
5. If 3 is multiplied by 10 and 3 is added to the result..........and if this process is continued up to ten digits….like 3
3 3
3 3 3
3 3 3 3
.......... so on till 10 digits
Find the sum of all 3's in 100th place?
6. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
7. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
8. When a number is multiplied by 13, it will become greater to 105 by an amount with which it is lesser to105 by now. What is the number?
Ans: 15
9. Given x Col A: xy
Col B: yz
ORKUT QUANT DATABASE (Till Jan9th)
1. Given xy is not equal to 0 and x is not equal to y and x+y=0
Col a: x-y
Col b: 0
Ans:D
2. The average height of 4 players is 6 feet and 6 inch. If the shortest one is of height 6 feet and 3 inch. What could be the height of the longest person.(Given 1 foot = 12 inches)
Question is similar to this.... with some numerical changes
3. Given 1 kilometer is 0.62 miles.. so how many kilometers is 50 miles?
Ans: 80.64km
4. If there are 'c' cartons and each carton has 'x' boxes which is being loaded in a truck in 'h' hours and 't' minutes.
Col a : The average time for loading the 'x' boxes of all cartons
Col b: cx / (h+t/60)
5. If x< x^3< x^2.Then the value of 'x' is
a. -3/2
b. -1/2
c. 0
d. 1/2
e. 3/2
Ans: b
6. If m= 4^x+4^x+4^x+4^x, then what is m^2?
Ans: 4^2(x+1)
7. If a plane takes 't' seconds to cover a distance of 'y'km. Then how much time is required to cover 'x' distance(in HOURS)? Question is similar to this.... with some numerical changes.
Ans: (x*t) / (3600*y)
8. Given two figures..... one is a circle inscribed in a square and other is a square inscribed in circle. If both have a common radius 'r' then find the area of the two? (Its a comparison question)
9. Find the area enclosed by the region in square units described by 0<=X<=5 and 0<=|y|<=8
1)40 2)80 3)160 4)120
ORKUT QUANT DATABASE (Till Jan8th)
1. The series in which a1= 3 ... and an = a(n-1)+3 (here n-1 is the suffix)
Col a: a100(here 100 is suffix)
Col b: 240
2. There is a series of odd numbers from 1 to n where n is a odd number. What is the probability that a number selected at random will be an odd number?
3. Col a: (3^-8 ) - (3^-9)- (3^-9)
Col b: 3^-9
ORKUT QUANT DATABASE (Till Jan7th)
1. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?
2. If a number is divisible by 5 the remainder is 3 and when the same number is divided by 7 the remainder is 4. What is the least possible number?
Ans:18
3. A group of 1 proffessor and 3 students have to be made from 4 proffessor and 5 students.
Col a: Different ways in which the groups can be formed
Col b: 40
Ans: C
4. Given -14, -11, -7 , 9, 10,13.... is the series
I. Median is greater than mean
II. S.D is greater than range
III. Mean is greater than median
A.1 only
B. 1 and 2 only
C.1,2 an 3 only
D. None of these
5. Col A: [(2+ sqrt(3)) / (2 - sqrt(3)]^3
Col B: (10^6 / 3^6)
Ans:A
6.There is a bag which contains ribbons of lengths 8m and 14m. If the total length of all threads is 100sq.m.
Col A: number of threads of length 8m
Col B: number of threads of length 14m
Ans: D
7. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
8. Given that a Square is inscribed in a circle and the diameter of circle is equal to diagonal of square and radius of the circle is also given and the question was asked to find the area of square?
Question is something similar to this......
9. Given a semicircle and there was a triangle inscribed in it, such that the base of triangle is same as diameter of circle.The other side of triangle was on the curve of a circle(it made 90 degree) and question was asked to compare the other angle with 45.
Question is something like this....
ORKUT QUANT DATABASE (Till Jan4th)
1. If 'n' is a odd number then n^2 -1 is a multiple of
a. 8
b. 12..... etc..
Ans: a
2. Given x+y=43 and x, y are positive primes. Then
Col a: xy
Col b: 86
Ans:B
3. What is the percentage change of area of rectangle, when length is increased by 10% and width is decreased by 10%?
4. Which of the following option has got both mean and median same
a)x,x+a,x+22
b)x,x/a,x/2a
c)1/x........
5. Col a: (0.4)^0.5*(0.4)^0.4
COl b: (0.4)^10
6. Given a square with its side 'X'(some value) and another square is incribed in this square, and it is also given that the distance between inner square and outer square is 'Y'(some value). Find the area of inner square?
Question is something like this............
7. What is the value 20% of 25% of 678?
8. Col a: /-2x+1/
Col b: /-2x/+1/
9. If P(A) and P(B) are two independent events then the probability of occuring both the events together is?
10. Given an equation y^2-2y-3=4 and the roots of this equation were also given and was asked to find the roots of (x-2)^2-2(x-2)-3=4
11. Given a bag which contains threads of lengths 8m and 14m. If the total length of all threads is 100sq.m.
Col A: number of threads of length 8m
Col B: number of threads of length 14m
Ans: D
12. Given... a square inscribed in a circle with its radius 'r' then Find the area of the square?
13. Given three points p, q, r as (1,4) (2,c) (4,8) and if the value of c is greater than 4
Col a:pq
Col b:qr
14. For any positive integer value, which of the following expression is equivalent to [(x^2 * y) + (y^2 * x)] expresion.
a.x^2*y^2
b.xy+(2x+y)
c.x^2+y
15. If A's speed is 50 km/h and B's speed is 55 km/h. If 'A' covers a distance 'x' in 5 hours, then how much time will 'B' take to cover the same distance.
16. The average of seven numbers is 35 then when k is added to it then the average of those 8 is 35. What is the value of k?
17. Given a series like this.............5-2x, 5-x, 5, 5+x, 5+2x.
Col A: standard of the given series
Col B: the greatest value in the given series
18. If d
Col B: a+b
19. If the amount of an an material has decreased from 4950 to 3495. What is the percentage decrease of that material?
20. If k-3 is multiple of 5 and k+2 is multiple of 3 then what is k^2?
A. 16
B.13
c.4
21. If 7n is a multiple of 4 then how many values of 7n lie between 45 and 75?
22. There was a circle to which two tangents were droped and these tangents meet each other at a point outside the circle making an angle 'x'degrees, with centre O which is extended to both the tangents. Angle at centre O is 65 degrees. What is the value of x degrees?
23. If x>0
ColA: (2x)^0+(2x)^1/(2x)^2+(2x)
ColB: 1/x
24. Given a line equation. Which of the following is a parallel line to the given line
Options: ............
Question is something like this........
Hint: This is an optional based question.. check the 4 options for the same slope as the given line
ORKUT QUANT DATABASE (Till Jan3rd)
1. Given... a square inscribed in a circle with its radius 'r' then Find the area of the square?
2. Given Speed in km/hr...whats the speed in miles/sec?
3. |x+3|<5
Col A: x
Col B: -8
4. Given Mean marks of seniors in a class is 92 and of juniors is 88 then
Col A: Combined mean of seniors & Juniors is
Col B: 90
5. F(x) = X^2
Col A: f(x)+1
Col B: f(x+1)
Ans: D
6. |x-3|=5
Col A: (4-x)^2
Col B: (4+x)^2
7.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d
8. Given an equation x/7+w/28=1
Find the number of positive integer solutions for this equation?
9. Given a figure like Rhombus with its area 40 and one of its diagonal is given as 8. Then what is the length of other diagonal is?
Ans: 10
10. Another question on ... equation of speed .
ORKUT QUANT DATABASE (Till Jan1st)
1. x
Col b: y-x
Ans: D
2. Given x>100 rounded off value of
2-1/x
--------- is
2+2/x
a. 2
b.1
c.3
d.5
Ans: b
3. Given Points (-5,-7) and (3,-4) lie on the line, if point (x,13) lies on the same line, find x?
4.If the sides of a right angled triangle are n, 2n-1, 2n+1 and 'n' being positive, then the value of 'hypotenuse' ?
a)8
b)12
c)15
d)17
Ans: d
5. When 't' is divided by 9, the remainder is 1 and when it is divided by 11 remainder is 8. Find 't'?
Ans:19
6. Col A: 1/ (0.01)^-10
Col B: 1/10^-20
Ans: B
7.If surface area of a cube is 36. Then Volume of the cube is?
Col a: volume of cube
Col b.15
8. A number 'N' is a 3 digit postive number. If 'X' is its hundredth digit & 'Y' is its units digit then the number 'N- 100X-Y ' will be divisible by which one of the following number.
a)3 b) 4 c) 5 d) 7
Ans: C
9. n is +ve number.....x is units digit of 7^n and y is units digit of 3^n
Col a: x-y
Col b: 0
Ans: D
10. Given Marks in each subject should not exceed 100. Juniors average and senoirs average on final exam were given some values like XX and XX. Find the total averge on final exam of both .(its a comparision question)
11. How many values does 3 mod x-2<9 has??
12. A rope of length x is cut into two halves. One of the length exceeds the other by 5
Col a: length of the shorter one
Col b: x-5
13. Which pair have their Arithmetic mean and median equal
l. x,x+1,x+2,x+3,x+4
II. x,2x,3x,4x,5x
III. 1/x,2/x,3/x,4/x,5/x
14. X purchases n bottles for total XX.Rs and Y purchases 2n bottles for total XX.Rs
Col a :Amount by which X 's amount exceeds Y per bottle
Col b :5/n
(question is something like this...... so you can try this problem with some assumed values)
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