Quantative Questions - February 2008

February 29

1. A rectangle was given, in it another rectangle 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 of root 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?

February 28

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 Opposite side 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

February 27

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.


February 25


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 s =" {1,2,3,4,6,8}" t =" {1,2,3,6,8}." t =" P" style="font-weight: bold;">February 22

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

February 21
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 style="font-weight: bold;">February 19
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>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 probability 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)?

February 15

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

February 14

1. Given a circle with radius 4 and a chord of length 4 was drawn. Find the angle made by the chord with the center 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.

February 13

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 February 12
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?

February 8

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 symbols... &, &, *, *, $. 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 tangents 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

February 7

1. Given a circle with center '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?

February 6

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

February 5

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 figures, 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.>0 & y>0
B. yA<0>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?