Thursday, January 31, 2008

JANUARY QAUNT

ORKUT QUANT DATABASE (Till Jan 31st)


1. xA. -3/2
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 xCol A: xy
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 dCol A: d+c
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. xCol a: xy
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)

JANAURY VERBAL

ORKUT VERBAL DATABASE (Till jan 31st)




TODAY’S WORDS:

1.Barren

2.Arid

3.Solitude

4.Rococo

5.Riveting

6.Hone

7.Succulent

8.Desiccated

9.Reticent

10.Clairvoyant

11.Pacify

12.Solitude

13.Impeccable


ANALOGIES:

1.Journey : Leg

2.Vivid: Inspiration

3.Furniture: Rickety

4.Literature: Grammar

5.Stadium: Game

6.Disinfectant: Germ

ISSUE TOPICS:

1.To learn the characteristics of the society, is it enough to study about major cities

2.Facts are stubborn things, we cannot mold them.


ORKUT VERBAL DATABASE (Till jan 30th)


TODAY'S WORDS:

1. Ineluctable

2.Vitriol

3. Polemical

4.Luculent

5. Stoical

6. Taciturn

7. Peremptory

8. Encomium

ANALOGIES:

1. Founder: sink

2. He: she

3. Unstable: volatile

ORKUT VERBAL DATABASE (Till jan 29th)


TODAY’S WORDS:


1.Gruff

2.Rivet

3.Pacify

4.Qurush

5. Repudiate

6. Complaisance

7. Encomium

8. Embezzle

9. Adamant

10. Demoralized

11. Natatorium

12. Imbue

13. Vapid

14. Clairvoyant

15. Obscene


ANALOGIES:

1.Game: Stadium

2.Brake: speed

3.Embezzling: stealing

4.Generator: Electricity

5.Factory: Product


ORKUT VERBAL DATABASE (Till jan 28th)


TODAY’S WORDS:

1.Ostentatious

2.Foul

3.Reminiscence

4.Indefinable

5.Detrimental

6.Spurious

7.Intriguing

8.Reinforce

9.Rapacious

10.Prudent

11.Augury

12.Esoteric

13.Sacrilegious



ANALOGIES:

1.Mollify: pain

2.Founder: sink

3.Rigid: break

4.Canvas: painting

5.Building: shed


ISSUE TOPIC:

1.Ritual and Ceremonies increases the value of the society, does the absence of these…….. results to the downfall of the

society?????



ARGUMENT TOPIC:

1.Oven Baskets, which are very famous in Palean city, are also found in Lithos city which is within city of Palean city.

There is a deep and long river between these two cities which needs minimum transportation to cross the river and there is no

evidence that Palean needs boats or cargos or large ships. Palean city consists of thick forest which consists of nuts,

samegame etc…………….. so Oven Baskets are not unique to Palean city.(something like this)


2.Butter has now been replaced by margarine in Happy Pancake House restaurants throughout the southwestern United States.

Only about 2 percent of customers have complained, indicating that 98 people out of 100 are happy with the change.

Furthermore, many servers have reported that a number of customers who still ask for butter do not complain when they are

given margarine instead. Clearly, either these customers cannot distinguish margarine from butter, or they use the term

'butter' to refer to either butter or margarine. Thus, to avoid the expense of purchasing butter, the Happy Pancake House

should extend this cost-saving change to its restaurants in the southeast and northeast as well."


ORKUT VERBAL DATABASE (Till jan 25th)

WORDS:


1. Polemical

2. Emulate

3. Reinforcement

4. Accolade

5. Gullible

6. Procrastinate

7. Exude

8. Limpid

9. Penurious

10. Paralyze

11. Fretwork

12. Collude

13. Wary

14. Dire

15. Comprehensive


ANALOGIES:

1. Collude:cooperate

2. Ballad: song


COMPLETE ARGUMENT TOPICS:


1. The following appeared in a memo from a vice president of Alta Manufacturing.

"During the past year, Alta Manufacturing had thirty percent more on-the-job accidents than nearby Panoply Industries, where

the work shifts are one hour shorter than ours. Experts believe that a significant contributing factor in many on-the-job

accidents is fatigue and sleep deprivation among workers. Therefore, to reduce the number of on-the-job accidents at Alta and

thereby increase productivity, we should shorten each of our three work shifts by one hour so that our employees will get

adequate amounts of sleep."

2. The following appeared in a business magazine.
"As a result of numerous consumer complaints of dizziness and nausea, Promofoods requested that eight million cans of tuna be

returned for testing last year. Promofoods concluded that the cans did not, after all, contain chemicals that posed a health

risk. This conclusion is based on the fact that the chemists from Promofoods tested samples of the recalled cans and found

that, of the eight chemicals most commonly blamed for causing symptoms of dizziness and nausea, five were not found in any of

the tested cans. The chemists did find that the three remaining suspected chemicals are naturally found in all other kinds of

canned foods."

3. The following appeared in a medical newsletter.

“Doctors have long suspected that secondary infections may keep some patients from healing quickly after severe muscle

strain. This hypothesis has now been proved by preliminary results of a study of two groups of patients. The first group of

patients, all being treated for muscle injuries by Dr. Newland, a doctor who specializes in sports medicine, took antibiotics

regularly throughout their treatment. Their recuperation time was, on average, 40 percent quicker than typically expected.

Patients in the second group, all being treated by Dr. Alton, a general physician, were given sugar pills, although the

patients believed they were taking antibiotics. Their average recuperation time was not significantly reduced. Therefore, all

patients who are diagnosed with muscle strain would be well advised to take antibiotics as part of their treatment.”


4. From a letter to the editor of a city newspaper.

"Butter has now been replaced by margarine in Happy Pancake House restaurants throughout the southwestern United States. Only

about 2 percent of customers have complained, indicating that 98 people out of 100 are happy with the change. Furthermore,

many servers have reported that a number of customers who still ask for butter do not complain when they are given margarine

instead. Clearly, either these customers cannot distinguish margarine from butter, or they use the term 'butter' to refer to

either butter or margarine. Thus, to avoid the expense of purchasing butter, the Happy Pancake House should extend this

cost-saving change to its restaurants in the southeast and northeast as well."


5. The following appeared in a memo from the owner of Green Thumb Gardening Center, a small business serving a suburban town.
"There is evidence that consumers are becoming more and more interested in growing their own vegetables. A national survey

conducted last month indicated that many consumers were dissatisfied with the quality of fresh vegetables available in

supermarkets. And locally, the gardening magazine GreatGardens has sold out at the Village News stand three months in a row.

Thus, we at Green Thumb Gardening Center can increase our profits by greatly expanding the variety of vegetable seeds we

stock for gardeners this coming spring."


ORKUT VERBAL DATABASE (Till jan 24th)


TODAY’S WORDS:

1.Proofread

2.Verbosity

3.Meander

4.Unflappable

5.Infuriate

6.Deplore

7.Exacerbate

8.Bore

9.Adamant

10.Insipid

11.Reinforce

12.Irrelevant

13.Deplore

14.Immaterial

15.Dispatch

16.Vivify


ANALOGIES:

1.Lampshade: lamp

2.Face: mask

3.Apron: clothing

4.Rock: hill

5.Cow: herd

6.Soil: mud

7.Irrelevant: pertain

8.Glacial :slow


ORKUT VERBAL DATABASE (Till jan 23rd)

TODAY’S WORDS:

1.Insipid

2. Alacrity

3.Buttress

4.Deplore

5.Qurush

6.Repudiate

7.Complaisance


RECENT ANALOGIES:

1.Collude: cooperate

2.Wary: cautious

3.Pacify: infuriate

4.Heart: organ

5.Irrelevant: pertain

6.Choreograph: movement

7.Melodious: hear

8.Deplore: vile

9.Proofread: document

10.Isthmus: island

11.Impervious: penetrate

12.Glacial: slow

13.Duck: drake

14.Exponent: advocate

15.Recess: halt

16.Harangue: mollify

17.Mulish: pervasive

18.He: she

19.Rock: hill

20. Cow: herd

21.Collaborate: cooperate

22. Soil: mud

23. Inane: significance

24. Lubricant: friction

25. Din: ear

26. Porous: liquid

27. Transparency: light

28. Figure: statue

29. Impeachable: blame

30. Arboreal: trees

31. Friction: oil

32.Gratuitous: justification

33.Comprehensive: dire


RECENT ISSUE TOPICS:

1. Study of history is not important unless it’s relevant to daily lives

2. Only through mistakes, progress or discovery is achieved

3. High-speed electronic communications media, such as electronic mail and television, tend to prevent meaningful and

thoughtful communication

4. A school or college should pay its teachers at the same rate in all disciplines, regardless of differences in salaries for

related fields in the world outside of school. For example, entry-level teachers in mathematics and in the arts should

receive the same pay, even if outside of school, math specialists earn a much higher salary on average than do specialists in

the arts

5. To be an effective leader, a public official must maintain the highest ethical and moral standards

6. High-speed electronic communications media, such as electronic mail and television, tend to prevent meaningful and

thoughtful communication

7. Laws should not be rigid or fixed. Instead, they should be flexible enough to take account of various circumstances,

times, and places

8. When research priorities are being set for science, education, or any other area, the most important question to consider

is: How many people's lives will be improved if the results are successful?

9. Money spent on research is almost always a good investment, even when the results of that research are controversial.

ORKUT VERBAL DATABASE (Till jan 22nd)


TODAY’S WORDS:

1.Encomium

2.Stealing

3.Embezzling

4.Adamant

5.Demoralized

6.Ignominy

7.Proscribe

8.Natatorium

9.Procrastinate

10.Imbue

11.Vapid


ANALOGIES:

1.Brake: speed

2.Impervious: penetrate


ISSUE TOPIC:

1.The money spent on research is a good investment… even though the results of research are controversial


ARGUMENT TOPIC:

1.There is evidence that consumers of US have started growing vegetables in their own houses. The recent survey shows that

the US consumers are very dissatisfied with the freshness of the vegetables that they buy in supermarkets. Another survey

shows that during the last three months all the copies of a magazine named GARDEN something (XXX) is sold. So a company

selling seeds decides to increase their profit by increasing the production of seeds of vegetables.

ORKUT VERBAL DATABASE (Till jan 21st)

TODAY’S WORDS:

1.Alacrity

2.Insipid

3. Excavate

4. Deplore

5. Boorish

6. Banquet

7.Absorb

8. Accolade

9. Polemical

10.Emulate

11. Reinforce


ISSUE TOPIC:

1.Are the researches made in various groups like teaching, science etc are useful to all"


ARGUMENT TOPIC:

1.A restaurant was supplying margarine instead of butter…. only a 2% of people complained about their whole fleet of

restaurants and the rest 98% kept quite and more over the waiters say that customers could not differentiate between the

butter and margarine"



ORKUT VERBAL DATABASE (Till jan 18th)


Today’s Words:

1.Gullible

2.Upbraid

3.Procrastinate

4.Befriend

5.Garrulous

6.Zest

7.Exude

8.Limpid

9.Penurious

10. Paralyze

11.Fretwork


ANALOGIES:

1.Collude: cooperate

2.Wary: cautious

3.Pacify: infuriate

4.Duck: Drake

5.Gratuitous: justification

6.Comprehensive: dire

7.Lubricant: friction


ORKUT VERBAL DATABASE (Till jan 17th)

Today’s Words:

1.Vivify

2.Sequester

3.Intimidate

4.Esteem

5.Ineluctable

6.Temerity

7.Pugnacious



ORKUT VERBAL DATABASE (Till jan 15th)

Today’s Words:

1.Reconstitute

2.Slipshod

3.Meticulous

4.Immaterial

5. Crux

6. Proscribe

7. Fault

8. Din

9. Lubricant

10. Bach

11. Voluptuous

12. Tacit

13. Garrulous

14. Austere

15.Ostracize

16.Perfidy

ANALOGIES:

1.Din: ear

2.Porous: liquid

3.Transparency: light

4.Figure: statue

5.Impeachable: blame

6.Arboreal: trees

7.Friction: oil



ORKUT VERBAL DATABASE (Till jan 14th)

WORDS:

1.Knack

2.Mulley

3.Archaic

4.Touchy

5.Impalpable

6.Trespass

7.Obtrude

8.Duly

ISSUE TOPIC:

1."Students should question about what they are studying instead of accepting, they should show some skepticism"

2."The character of the leaders of the society can be determined by the character of men and women of the society who chose

them"

ARGUMENT TOPIC:

1.The following appeared in a medical newsletter.

“Doctors have long suspected that secondary infections may keep some patients from healing quickly after severe muscle

strain. This hypothesis has now been proved by preliminary results of a study of two groups of patients. The first group of

patients, all being treated for muscle injuries by Dr. Newland, a doctor who specializes in sports medicine, took antibiotics

regularly throughout their treatment. Their recuperation time was, on average, 40 percent quicker than typically expected.

Patients in the second group, all being treated by Dr. Alton, a general physician, were given sugar pills, although the

patients believed they were taking antibiotics. Their average recuperation time was not significantly reduced. Therefore, all

patients who are diagnosed with muscle strain would be well advised to take antibiotics as part of their treatment.”



ORKUT VERBAL DATABASE (Till jan 11th)


WORDS:

1.Touchy

2.Annual

3.Iconoclast

4.Irrelevant

5.Obdurate

6.Laconia

7.Quislings

8.Trespass

9.Buttress

10. Alienate

11.Archaic

12.Desperate

13.Belie

14.Boorish

15.Exacerbate

16.Zealot


ANALOGIES:

1.He: she

2.Soil: mud

3.Lubricant: friction

4.Inane: Significance

5.Collaborate: cooperate

6.Cow :herd

7.Rock: hill



ORKUT VERBAL DATABASE (Till jan 10th)

WORDS:

1.Glacial

2.Crux

3.Alienate

4.Fault

5.Ostracize

6.Proscribe


ANALOGIES:

1.Transparency: Light

2.Din: ear

3.Lubricant: friction

4.Figure: statue

5.Soil: mud

6.Porous: liquid


ISSUE TOPIC:

1. To become an effective leader, a public official must have high ethical values.



ORKUT VERBAL DATABASE (Till jan 9th)

WORDS:

1.Touchy

2.Bach

3. Mulish

4. Pervasive

5. Duly


ANALOGIES:

1.Arboreal: trees

2.Friction: oil

3.Impeachable: blame

4.Mulish: pervasive


ARGUMENT TOPIC:

1. The following appeared in a memo from a vice president of Alta Manufacturing.
"During the past year, Alta Manufacturing had thirty percent more on-the-job accidents than nearby Panoply Industries, where

the work shifts are one hour shorter than ours. Experts believe that a significant contributing factor in many on-the-job

accidents is fatigue and sleep deprivation among workers. Therefore, to reduce the number of on-the-job accidents at Alta and

thereby increase productivity, we should shorten each of our three work shifts by one hour so that our employees will get

adequate amounts of sleep."


ORKUT VERBAL DATABASE (Till jan 8th)

WORDS:

1.Reward

2.Scold

3.Voluptuous

4.Tacit

5.Garrulous

6.Ineluctable

7.Austere

8.Duly

9.Archaism


ANALOGIES:

1.Ballad: song

ISSUE TOPIC:

1."Laws in our society should be fixed and they should consider time, place, circumstances"

2.The modern media such as television and email are tending to prevent thoughtful and meaningful communication.


ARGUMENT TOPIC:

1."Some people complained dizziness because of the chemicals present in food. 8 million cans will be tested and proved that

those tested cans don’t contain 5 chemicals (initially it will be given that only 8 chemicals will be responsible for

disorder). They also say that the remaining 3 chemicals will be present in all the cans."

2.It’s about the accidents in a company.......... and about deciding to reduce the work hour of the day so that it causes

less fatigue and will lead to fewer accident.



ORKUT VERBAL DATABASE (Till jan 7th)

WORDS:


1.Excavate

2.Befriend

3.Receptive

4.Calculated

5.Homogeneous

6. Upbraid

7. Disinclined

8.Deplore

9.Vile

10. Proofread

11. Isthmus

12. Impervious

13. Ascetic,

14. Homogeneous

15. Gratuitous

16. Intangible

17. Receptive

18.Quibble

19.Rebuff


ANALOGIES:

1.Mulish: Pervasive

2.Harangue: mollify

3.Melodious: hear

4.Heart: organ

5.Irrelevant: pertain


ISSUE TOPIC:

1. Teacher’s salary depends on student’s academic study.



ORKUT VERBAL DATABASE (Till jan 4th)

WORDS:

1.Imbue

2.Crouch

3.Venerate

4.Trite

5.Chicanery

6.Palpable

7.Caustic

8.Befriend

9.Matter-of- fact

10. Boastful

11. Intangible

12. Observable

13.Ineluctable

14. Procrastinate

15.Vile

16.Gratuitous

17.Perceptive

18.Receptive

19.Pervasive

20.Calculated

21.Alienate

22.Inaccurate

23.Homogeneous


ANALOGIES:

1.Aphoristic: succinct

2.Glacial :slow

3.Impervious: penetrate

4.Isthmus: island

5.Wedding: marriage

6.Melodious: hear

7.Heart :organ

8.Choreograph: movement

9.Irrelevant: pertain

10. Proofread: document



ORKUT VERBAL DATABASE (Till jan 3rd)

TODAY’S WORDS:

1.Befriend

2.Upbraid

3.Disinclined

4.Buttress

5.Sturdy

6.Pragmatic

7.Teem

8.Ignominy

9.Gaunt

10. Puckish

11. Dilettante

12. Abate

13. Gullible

14. Lethargic

15. Vitriol

16. Devious

17. Munificent


ANALOGIES:

1.Cameo :sculpture

2.Deplore: vile

3.Duck: Drake

4.Recess: halt

5.Exponent: advocate


Issue Topic:

1. Study of history is not important unless it’s relevant to daily lives



ORKUT VERBAL DATABASE (Till jan 1st)

WORDS:


1. Ignominy

2. Teem

3. Abate

4. Maverick

5. Accolade

6. Gully

7. Surreptitious

8. Absorb

9. Transient

10. Gainsay

11. Buttress


ANALOGIES:

1. Novelist: book

2. Harangue: mollify

Issue topic:

1. Only through mistakes, progress or discovery is achieved.