Ans: 1hr 20mins
In 2007, Ramond had a collection of 48 stamps. Since then he has given away 13 stamps, purchased 17 new stamps and traded 6 of his stamps to Peter for 8 of Peter's stamps. Since 2007, what has been the net percent increase in Ramond's collection?
2007 48
given away 13
left 35
purchased 17
total 52
net Tradings 8-6=2
Total 54
Net increase= increase/actual*100
6/48*100=12.5%
Ans: 12.5 %
Two boats start at the same point. Boat X travels due north at 3 miles per hr and boat Y travels due east at a rate of 4 miles per hour.At what time will the 2 boats be 10 miles apart.?
Ans: 1hr 20mins
Apply pythagoras theorem to solve.
After 2 hrs the fisrt boat will travel 6miles north and the second one will travel 8miles south. Draw a diagram, the distance between them will be the hypotenuse, so (64+36)=100
X^2= 100
so x=10
THerefore time will be 2hrs or 120 minutes.
z=mod(28m+19p) , m and p are non zero then least value of z
Insufficient information:
Assumptions: m and p are integers
put m=19 and p=-28
z=mod(28*19+19*(-28))= 0
you can also put p=28 and m=-19
A circle with center O has two tangents at points B and C which intersect each other at point A. Angle BAC is given as 55 degrees
Find the value of angle BOC.
Col A Col B
BOC 110 degrees
Ans: A
.A maths teacher took two tests in her class. 25% of class passed both exams, 42% passed second. What is probability that
students who passed 1st exam also passed 2nd exam?
Ans: 1/4
. In 1966 the operative mortality rate at certain hospital was 8.1 per 100 cases.By 1974 the operative mortality rate has declined to
4.8 per 100 cases. If the rate decline by 20% from 1973 to 1974 then what is percentage in decline from 1966 to 1973?
. 400 students took certain examination. 60% of boys & 80% of girls had cleared the cut off in the examination. If total percentage
of the student qualifying is 65%,how many girls appeared in the exam?
Ans: 100
A set contains following no.'s a1,a2,a3.........a100
An= ((n+1)/n)+1) for n odd integer
An= -An-1 for n even integer
Find it's range...
. A group can charter a particular aircraft at a fixed total cost. If 36 people charter the aircraft rather than 40 people, then the
cost per person is greater by $12. What is the cost per person if 40 people charter the aircraft?
.There was a $25 discount on every purchase of $75 there was a 10% charge on shipping which was added before the discount
and 20% sales tax after the discount was added. If john paid total $300 what was the original amount of purchase if no sales tax
was added per $75.( This might be an comparision question....)
Given Principal amount P,rate of interest was r ,and the amount increase from 1990 to 1995 and 1995 to 2000 each time by r%. so
the total amount was (7/5)p at the end of 2 yrs .
Col A : r
Cola B: 20
. x-y =5, xy!=0
col A : 1/x-1/y
Col B : 1/5
Ans: D
If one number is chosen at random from the first 1000 positive integers, what is the probability that the number chosen is a
multiple of both 2 and 8?
. The number of numbers that can be formed by the digits 1,2,3,4,3,2,1. the odd digits are at odd places is given by
A) 430
B) 215
C) 93
D) 36
E) 18
Ans: E
. 2^(2n+1)- 2^2n = 2^1000 find n
A)500
B)1000
C)2000
Ans: A
-2<-1
Col a: 1/x3
Col b: 1/x
Ans:A
. A+B=1 and M+T=2
A and M are positive and B and T are negative
Cola :A^2 + B^2
Col b: M^2 +N^2
Ans: D
. n and k are positive no.'s
col a: (3^n/ 5^k)^2
colb: (n/k)^2
Ans: D
. Twice the sum of two integers x and y , when divided by 7 gives remainder =1. What is the remainder when x+y is divided by 7.
Ans: 4
. A telephone company has no.'s between 3000-3799. A Company called X uses the numbers from 3300-3499. Out of these
managers of Division1 level use numbers ending with 0 or 1. What percent of the telephone company numbers are used by
Managers of Division1 level of Comany X?
Ans: 5%
. There was a $25 discount on every purchase of $75 there was a 10% charge on shipping which was added before the discount
and 20% sales tax after the discount was added. If john paid total $300 what was the original amount of purchase if no sales tax
was added.
. x^2 +2x -8=0
sum of 2 roots is n.
Col a: n
Col b:-2
Ans:C
. How many three digit numbers are there such that the 100's digit is twice 10's digit and 10's digit is twice units digit.
Ans:2
. A line 'l' passes through (3,-2) and cuts the coordinate axis.
Column A : x intercept of line l
Column B : y intercept of line l
Ans: D
. F(x)=x^2+1
Cola: f(x+1)
Colb: f(x) +f(1)
Ans:D
. A semicircle was given with area =2pie
find the perimeter of the semicircle
Ans: 2pie+4
. A company sold a product for x dollars in 1990. The price of the product would increase by 2.5% every year. Which of the
following expressions could be used to calculate the price of the product in the year 2000?
A. x * (25)^10
B. x * (0.25)^10
C. x * (1.25) ^ 10
D. x * (1.025)^10
E. x * (0.125) ^ 10
Ans: D
.Compare:
Col A: {[Sqrt(6) + Sqrt(7)] [Sqrt(6) - Sqrt(7)]} / Sqrt(6)
Col B: {[Sqrt(7) + Sqrt(6)] [Sqrt(7) - Sqrt(6)]} / Sqrt(7)
Ans:B
.(1/2 - 1/3) + (1/3 - 1/4) + (1/4 + 1/2) = ?
Ans: 1
A line intersects the Y-axis at (0,a) and X-axis at (a,0). If the line passes through the point (-3,-3), find the value of a.
Ans: -6
. Biologists working to estimate the population of foxes in small town captured and tagged 30 foxes on one night. The foxes were then released. The next night they captured 30 foxes and found that 6 of them had already been tagged. The best estimate for the fox population of the town would be
A. 30
B. 36
C. 60
D. 150
. In a group of people solicited by charity 25% contribute $20, 45% contributed $10 and the rest contributed $5. If the charity received a total of $750 from those who contributed $5, how much did they receive in total from those solicited?
A. $5,500
B. $5,250
C. $4,750
D. $2,500
E. $1,700
Ans: A
. What is the value of x, if 2^(2x + 1) = 8^(x - 3)
A. -4
B. -1
C. 4
D. 8
E. 10
Ans: E
. The point of intersection of lines 3x-5y=7 and 2x+10y=-3, lies in
A. On X-Axis
B. On Y-Axis
C. In Quadrant I
D. In Quadrant III
E. In Quadrant IV
Ans:E
. A ranch has horses and ponies. Five-sixths of the ponies have horseshoes. Half of the ponies with horseshoes are Icelandic. If there are three more horses than ponies, what is the minimum number of horses and ponies on the ranch?
A. 12
B. 15
C. 27
D. 48
E. 54
Ans: C
. x is an integer such that x > 3
Cola: number of even factors of 2x
Colb: number of odd factors of 3x
Ans: D
. Twice sum of integers when divided by 11 leaves remainder 4
what is the remainder when sum of numbers is divided by 11
Ans: 2
. x when divided by 7 leaves remainder 4.What is the remainder when 2x + 5 is divided by 7.
A. 2
B. 3
C. 4
D. 5
E. 6
Ans: E
. 4 points A,B,C,D on a straight line such that AD:AB = 9:1 and AD:AC = 4:1
points A,B,C,D are:-
A. -20 -8 -10 16
B. -20 -16 -11 16
C. -20 -16 -11 16
D. -20 -16 -11 7
E. -20 -10 -11 7
Ans: B
. A label of vertical width w is stick on a cylinderical vessel with area A(some number) and height 10 cm.
Cola: w
Colb: 4.5
Ans: D
. A telephone call charges at the rate x for first 1 minute, and y for the remaing time of the call. If the total charge for the call was $2.49, what was the call duration in terms of x and y.
Ans: ($2.49 - x)/y + 1
. What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?
(A) - 5040
(B) - 3600
(C) - 720
(D) - 600
(E) - 120
Ans : B
. The reflection of a positive interger is obtained by reversing the digits. For example, 321 is the reflection of 123. The difference between a five-digit interger and its reflection must be divisible by which of the following?
(A) 2
(B) 4
(C) 5
(D) 6
(E) 9
Ans: E
. Probability of an event M, P(M) < 0.25
col A : Probability of M not occurring.
col B : 3/4
Ans: A
4The polygon has 27 diagonals. The no. of sides of the polygon is
Ans: 9
Prodct of 10 integers is odd -ve integer.
Col a: number of odd integers in product.
Col b: no of -ve integers.
Ans: D
.Given d is distance of a stone thrown from a building d=16t^2 , d was given as 200. What is the range of t?
A) 1 to 2
B) 2 to 3
C) 3 to 4
D) 4 to 5
E) 5 to 6
Ans: C
. 3,1,4,2,3,1,4,2......... is a series in which 3,1,4,2 are repeated for every 4 terms then wht is the product of the 67th,68th term?
A. 2
B. 4
C. 6
D. 8
E. 3
Ans: D
in a triangle the three angles are given as X,X,Y. and the avg of two angles is 65, then wht is the possible value of Y in the below options?
A. 60
B. 65
C. 70
D. 75
E. 80
Ans: E
. Vertically Opposite angles. One was 75 and other was 2x+1 what's x ?
Ans: 52
. Machine A can produce a doll in 1+2/3 mins. Machine B can produce 3 dolls in 15 mins Whats time required to produce 30 dolls if the two work together
Ans: 37.5mins
.Bryan and Kathleen live 150 miles apart. They each drive toward the other's house along a straight road connecting the two,Bryan at a constant rate of 30 miles per hour and Kathleen at a constant rate of 50 miles per hour. If Bryan and Kathleen leave their houses at the same time, how many miles are they from Bryan's house when they meet?
A) 40
B) 51.5
C) 56.25
D) 75
E) 93.75
Ans: C
Given a square A of unknown sides, joining the midpoints , there is another square formed inside in it. The area of this inner square is....
Ans: 1/2 of area of square A
. x^2+2x-8=0
Col A:The sum of the roots
Col B:-2
Ans: C
. Points were given in the diagram as (0,u) and ( 3u,0)
Col A:Slope
Col B:-1/4
Ans:B
|x-2|>4 then which of the following is true with the above realation
A) -2
B) -4
C) -2
D) -6
Ans: A
Given numbers...(0.5)^-2 , (0.5)^-1 , (0.5)^0 , (0.5)^1 , (0.5)^2. Find the range of the above numbers.
Ans: 3.75
An equilateral pentagon and an equilateral triangle were given. The perimeter of pentagon is twice that of triangle.
Col A: Side of pentagon
Col B: Side of triangle
Ans: A
. On a street, there are four 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?
A. 4
B. 24
C. 64
D. 81
E. 128
Ans:D
. ABCD is a rectangle with AC and BD being its diagonals. Point D lies on the circumference of a circle having radius 7 and centre at B.
Col A: Length of diagonal AC
Col B: Radius of circle
Ans. C
.There is a circular water fountain of Diameter 12m. The wall of the tank has a width of 2m. If the thickness of the fountain is 0.06m, what is the volume of the concrete used in constructing the tank?
Ans: 1.68pi cu.m.
. Given a square A of unknown sides, joining the midpoints , there is another square inside in it.
Col a: area of inner square
Col b: 1/3 of area of A
Ans:A
.Col a: 0, 5, 10, 25, 30.
Col b: 5, 10, 25, 30.
Which set's mean is greater?
Ans: B
. Probability that a number is a non prime out of 1 to 15 numbers?
Ans: 3/5
. f(x)=(2x-3)( 2x+3)=ax^ 2+bx+c
Col a: a+b+c
Col b: -5
Ans: C
. John's salary for a particular month is given by the equation: 1520 + 0.15x where x is the amount obtained from the sales made by John. In July 2000, John got $300 more than June 2000. By how much did John's sales increase in July 2000 as compared to June 2000?
Ans : $2000
. Col A: (0.9/1.1) 2 +(1.1 /0.9)2
Col B: 2
Ans: A
. (x(x+5)+x(x-5)) / ((x+2)+(x-2))
Ans: x
.A company sold a product for x dollars in 1990. The price of the product would increase by 2.5% every year. Which of the following expressions could be used to calculate the price of the product in the year 2000?
A. x * (25)^10
B. x * (0.25)^10
C. x * (1.25) ^ 10
D. x * (1.025)^10
E. x * (0.125) ^ 10
Ans: D
.Consider circle with centre O. AB is a chord of the circle. AOB is a right angle. C is a point on the circumference of the circle such that angle BOC = 60 degrees. Compare:
Col A: Area of Triangle AOB
Col B: Area of sector BOC
.x^2 + y^2 =7
Col a:x+y
Col b:x-y
Ans: D
. x^2 +2x -8=0
product of 2 roots is n.
Col a: n
Col b:-2
. A rectangular aquarium base has dimensions 10*8 and height 10. Aquarium is filled upto the height of 6, a solid bar is immersed into it... there by increasing the water level to 7.
Col a:the bar dimensions
Col b:100 cubics
Ans:B
There are 5 black marbels and 3 red marbles, probability of getting exactly 1 black marble and 1 red marble
a)5/56
b)5/64
c)15/64
d)15/56
e)0.5
. Where will the point of intersection of the lines 3x + 5y = 7 and 2x - 10y = - 3 lie?
A. On X-Axis
B. On Y-Axis
C. In Quadrant I
D. In Quadrant III
E. In Quadrant IV
Ans:C
. Compare:
Col A: {[Sqrt(6) + Sqrt(7)] [Sqrt(6) - Sqrt(7)]} / Sqrt(6)
Col B: {[Sqrt(7) + Sqrt(6)] [Sqrt(7) - Sqrt(6)]} / Sqrt(7)
Ans:B
. On the number line, the co-ordinate of point P is -5 and the co-ordinate of point R is 10. The point Q is situated in between P and R such that the ratio of distance between P and Q to the distance between R and Q is 2 is to 3. What is the co-ordinate of point Q?
Col A: co-ordinate of point Q
Col B: 0
Ans: A
. There are 37 employees in a company X. The month of july has more number of birthdays (of employees) than any other month in the year.
Col A: Number of Birthdays in July
Col B: 3
(1/2 - 1/3) + (1/3 - 1/4) + (1/4 + 1/2) = ?
Ans:1
. A line 'l' passes through (3,-2) and cuts the coordinate axis. line 'm ' is perpendicular to line 'l' .
Column A : Slope of line m
Column B : 3/2
Ans:C
.A certain recipe makes enough batter for exactly 8 circular pancakes that are each 10 inches in diameter. How many circular pancakes, each 5 inches in diameter and of the same thickness as the 10-inch pancakes, should the recipe
make?
A) 4
B) 16
C) 24
D) 32
E) 40
. n is a +ve no... which of the following is an integer
a)((n+1)/2)^3x+2
b)((n-2)/2)^3x+2
c)(n+1/2)^3x+2
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