Quantative Questions - September 2007

1. If |x-3|=5 and |x+1|=3 then the value of x must lie on the following?

2. If p=20%of q and q is 50% of r then find value of p if p+q+r=48.

3. When a stone is thrown in water ripples are created the radius of the ripples increases x times per every sec after 10 sec the largest ripple has the area 400*pi then find the radius of the largest ripple formed?

4. 3 marriage couple sits in 6 seats, how many ways they can seat such that husband and wife sit together?

5. Column A Column B
square (sqrt (square x)) - square (sqrt (square y)) (x-y) (x+y)

6. A lift have maximum capacity of 20 bundles each have x weight or other wise 30 bundles each have y weight. If a person put 12 bundles of weight y than how many x weight bundles we can put?
1.4
2.8
3.10
4.12
5.18

7. Which of the following is sum of 5 consecutive integers no?
1.10
2.15
3.20
4.25
5.28

8. Two event independent one have probability 0.50 and other event have 0.630 what is probability of none of this event occur?
1.0.11
2.0.18
3.0.32
4.0.44

9. Col A Col B
| (1/5) - (1/10)| 1

10. A cuboid having dimensions 3, 3, 4
the question type was QCPS...
A : The Area of one of the part when the cuboid is cut diagonally
B : 44

11. Col A Col B
(x^-2) ^-4 x^8

12. The number plate can have 3 letters followed by 4 digits, repetition allowed,
if the letters are A,F,G the different no of ways the number plate can be made...

13. The Probability of A hitting the target is 0.4; B hitting the target is 0.6,
Find the probability of both A and B not hitting the target?

14. column a column b
(58)(7) (28)(21)

15. Two circles are given one is inscribed in another
the inner circle radius is x.....
outer circle radius is (x+y)...
question is- what is the probability that the point taken lie in inner circle
1) pi(x^2-y^2) 2) x/(x+y) 3)x^2/(x^2+y^2) 4) pi(x-y )^2

16. Col a Col b
x^n (2x)^|n|

17. 1/25+1/(x^2)=1/9

18. Given a circle and a triangle is formed in it with its diameter as its base
and side other than that diameter is given as 5 and area of triangle is 5
Col A Col B
Area of circle pi*29/4

19. Given t and k are positive
Col a: (t^2)-(2*k*t) + (k^2)
Col b: (t^2)-(k^2)

20. A number x leaves remainder 7 when divided by 11
when divided by 5 leaves remainder 1
Col a: least possible value of x
Col b: 40

21. A company manufactures 10000 bulbs at a cost of 0.60$. Of these 0.1%
were discarded and he sold the remaining for 1.1$ per bulb. what is the difference between its revenue and manufacturing cost

22. Col A: | (1/5) - (1/10)|
Col B: 1

23. A::(x^-2)^-4
B::x^8

24. There are 84 people who watch television and 72 members see pagers and X members watch only television.
Col A Col B
Number of people uses only pagers X-12

25. Volume of a sphere with radius r is 4/3*pie*(r cube), now if radius of another sphere is 2r then how many times second sphere is bigger than first sphere.

26. A)16
B) 8
C) 4
D) 2
E) 1

27. xy<0
Col a Col b
/x+y/ /x/+/y/

28. Col a : 7^37 - 7^36
Col b : 6(7^36)

29. There k consecutive integers such they R positive and M is the median and R is range
a)M
b)R
c)M-1
d)R+1
e)M+R

30. A cross line L was given in X-Y coordinate with (0,-b) and (3b,0) was asked to find out slope
Col a: slope of line L
Col b: ½

31. x ^-2 = 1/1+y^2 which is bigger x^2 or y?

32. The mean of 3 numbers 2x,7x,x^2 is 12..what is the range of the given data? (x<0).

33. An equilateral triangle is drawn in a semicircle and we have to find the area of a shaded portion this type of question is given.

34. Probability to rain in a day is 0.95. If it rains, match will be suspended. What’s the probability of match being suspended when it does NOT rain?

35. Which of the following is 850 percent greater than 8 x 103?
(A) 8.5 x 103(B) 6.4 x 104(C) 6.8 x 104(D) 7.6 x 104(E) 1.6 x 105

36. Probabability that event A happens is 0.5 and probability that event B occurs is 0.6.Whats the probability that neither of the event occurs.

37. Probability that it will rain on Monday and not on Tuesday is 0.4. Probability that it will rain on Tuesday and not on Monday is 0.2.
Cola: Probability that it will not rain on both the days
Colb: 0.35

38. In rectangular cuboid the face diagonal was given, along with the main diagonal and the length …. Had to find the volume ….this type of questions given.
Hint: just apply Pythagoras and l^2+b^2+k^2=main diognal^2 formulae.

39. The probability of an event F is 0.5 and that of g is 0.64 what is probability that neither happens.

40. Average of 2x, 7x and x^2 is 12 and x<0 find the range of numbers.

41. There 6 people , 3 wives and 3 husbands the number of ways they can
be seated on 6 chairs such that a husband and wife must seat
together

42. There are x no. of books which contains y no. of pages and each page
contains z no. of words
Col A Col B
xyz xz/y

43. Consider a square ABCD, E and F are mid points of side CB and CD
, what is ratio of area of triangle AEF to area of square.

44. A line AB was shown in the first quadrant with pt A at (0,b) and B
at (3b,0)
Col A Col B
1/3 -1/3

45. A cylinder of radius 5 and height 8 was given; find the largest line that can be drawn joining any two pts.
1) Sqrt154 2)2sqrt41 etc...

46. Cola Colb
x^2+x^(-1) 1/x^2+(x^-1)

47. Average of first 5 numbers is 6 and average of all 12 numbers is 7.5.Find average of first 7 numbers
a) 8.4 b) 8.5 c) 8.6 d) 8.7 e) 8.8....

48. There are two concentric circles if radius of larger one is 6 more than smaller one then find difference in their circumference.
1)3 2)6 3)3pie 4)4pie 5)6pie

49. One rectangle ABCD was given having diagonal BD. P is midpoint of that diagonal.
Cola Colb
Side CD 2/3 (PD)

50. In a series the first two numbers were not given and the 3rd and 4th numbers were 7 and 12, condition was, from the third number it was the sum of the two preceding numbers, what would be the least possible value of the first number.

Col a: 1st number in the series
Col b: 3

51. Col a: ((sqrt(x^2)) ^2) - ((sqrt(y^2)) ^2)
Col b: (x+y) (x-y)

52. Parallelogram figure was given and the fourth vertex was asked.......repeated question.

53. -1 < x < 1
Col a: x
Col b: 1-x

54. x<-5
Col a: |x+5|
Col b: x+5

55. Volume of a sphere with radius r is 4/3 pi r^3. If there is another sphere with radius 2r, how much more is its volume?

56. Col a : 7^37 - 7^36
Col b : 6(7^36)

57. Set A has all even natural numbers
Set B has all prime numbers less than 5
Set C has all numbers which are products of those in Set A and Set B

Col A : Set C
Col B : 50

58. The nearest value of 10000 + sqrt (568.01+ 623.01)
a) 5000 ( No, It was in some 500 change)
b) 6000
c) 9000
d) 10100
e)20200

59. Units digit of 'X' is ODD 'X' is an integer
A B
units digit of X^4 3

Ans: D

60. If the edges of a small rectangular solid is 40% of the edges of a larger rectangular solid then
A B
Ratio of volume of small 8/125
rectangle to large
rectangle

61. A committee of 5 is to be selected from a group of 15 girls
Column A: Number of selection if a girl is always included
Column B: Number of selection if a girl is always excluded

62. Three strings of a musical instrument vibrate 6,8 and 12 times a second respectively. If all the three begin to vibrate simultaneously, find the shortest time interval before all three vibrate together again?

63. What is the probability of picking 12 soldiers from a camp of 15 soldiers if 5 soldiers are injured?

64. In July the price of a stock increased by 10 percent. In August, it declined by 20 percent. If in September the price increased 10 percent, by what percentage of the original July price has the stock changed in price from the start of July to the end of September?
(A) 0 percent (B) 3.2 percent(C) 4.4 percent (D) 20 percent (E) 40 percent

65. Probabability that event A happens is 0.4 and probability that event B occurs is 0.5...what is the probability that neither of the events occur.

66. Let P be a set of positive even integers less than100. Let Q be the numbers of prime numbers less than 7. let C be the number of numbers consisting of the number of products of the numbers from the two sets.
Col A: numbers in C
Col B::200

67. A trapezoid with points (0, 0), (0, 3), (4, 5), (3, 0). Find the area of the quadrilateral.
a)12.5 b)13.5 c)14.5 d)15.5

68. Probability that it will rain on Monday and not on Tuesday is 0.2. Probability that it will rain on Tuesday and not on Monday is 0.4.
Cola: Probability that it will not rain on both the days
Colb: 0.35

69. 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?

70. Modulus (n-5) <3 how many possible values of n.

71. xyz=0
x>y
column A column B
xz yz

72. A sequence S has d terms x1, x2, x3, x4, x5, x6
after the first term, each term is half the previous term.
x2+x4+x6=42
what is d value of x1+x3+x5?

73. A square ABCD is given E and F are the mid points of AB and BC. what is the ratio of the triangle DEF and the square ABCD?

74. In a triangle ABC a square is inscribed and the base of the triangle is 4 times the side of the square...then
Col A Col B
the altitude CD side of the square

75. A quad OPRS given with O(0,0);P(0,3);Q(4,5) and R(3,0). Find the area of quad..??

a) 15, b) 13*1/2, c) 9*1/2; d) 5

76. A line AB was shown in the first quadrant with pt A at (0, b) and B
at (3b, 0)
Col A Col B
slope of line AB -1/3

77. A set of five Distinct positive numbers are 10, 9, x, y, 6
if x+y = 11 then the least possible value of 'X' is.

78. In a circle a triangle ABC was inscribed in it. AC is diameter, the area of the triangle is 5 and length of the side BC (chord to the circle) is 5. Then the area of the circle is….

79. .In July the price of a stock increased by 10 percent. In August, it declined by 20 percent. If in September the price increased 10 percent, by what percentage of the original July price has the stock changed in price from the start of July to the end of September?
(A) 0 percent(B) 3.2 percent(C) 4.4 percent(D) 20 percent(E) 40 percent

80. A vending machine dispenses gumballs in a regularly repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispensed?
(A) $1.00(B) $1.75(C) $2.00(D) $2.25(E) $2.50

81. S= {15, 10, 11, x and y} and X+y=11
which is the least positive integer in the set S?
a.2
b.3
c.9
d.5
e.6

82. A certain characteristic in a large population has a distribution that is symmetric about the mean m.If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d?
A. 16%
B. 32%
C. 48%
D. 84%
E. 92%

83. (n+1)(n-2)(n-4)=0
(n^2) + n - 2 != 0
cola n
colb 4

84. If x!=0, y!=0, x+y!=0;
Col a : x^-3 + y^-3
Col b : (x+y)^-3.

85. If x*y^2<0
Col a: x^7
Col b: y^7.

86. The mean of apples in the basket is 4.0.standard deviation of the apples is 0.8.If one of the apple is 1.5standard deviants of the mean.
ColA==>weight of the apple
ColB==>3.5

87. 0.5*0.3= 15*10^n
cola n
colb -2

88. No. of articles sold 15, 10, 30, 45 Price per unit (in dollars) 10.15, 18.5, 14, 12
what is the approximate average price per unit?

89. The difference between compound interest and simple interest on certain sum of money in 2 yrs at 8% is $8.find the sum.

90. A line in the xy plane passes through (a,0) and (0,a)and (-4,-4) and given that a is not = 0.find a.

91. (x+2)^(x+2) <-1
cola x
colb -1

92. Which is bigger x^2 or y?