Quantative Questions - October 2007

1.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

2.Given 7,8,13,13,9,14,15,15,15,19 is the series and if another no. 15 is added. Which will be affected most
A) Mean B)Median C) Mode D) None
Ans: B

3.There are 20 coloured pencils in a pencil stand. The probability of choosing a yellow pencil is 0.8.There are 6 yellow pencils without an eraser. What is the probability that a yellow pencil chosen is that which has an eraser.?
Ans: 1/2

4.There are 1/3 coins which are gold and 2/3 coins are old ones.
Col A:how many are old and gold coins
Col B:1/3
Ans: D

5. Prodct of 10 integers is odd -ve integer.
Col a: number of odd integers in product.
Col b: no of -ve integers.

6. 1,2,2,3,3,3,4,4,4,4................then find 100th term.
Ans:14

7. -5 to 5 was on number line. A point p was between -1 and 0,q was between 1and 2 and r was between 4 and 5.
col a::::distance of point q frm point p
col b::::2
Ans: D

8.Given:(14-k)w+20=-8
For what value of k ,the equiation does not have a value for w.
Col a: K
Col b: 12

9.Given equation 2x+3y=1
col a: x intercept of the line
col b: 1/3
Ans: A

10. Hypotenuse of a right angled triangle lie on the line y=7x+c and the other vertex is at the origin.What is the product of the slopes of 3 sides of the triangle?

11. Col A:(1/10,000)^5
Col B:(10,000)^-5
Ans: C

12.Two positive integers r and s both < 10 , can satisfy the condition 7s + 7r which is square of an integer, how many possible pairs of (r,s) are their
1. 2
2. 8
3. 16
4. 18

13.A parabola is given with the equation y = x^2 + 3 and the point on the paraboila is ( 2, k) so whats the value of k?
Ans: 7

14. If an amount of 10000 for an year with y% rate of interest yield 'm' amount of interest in dollars, Then an amount of 'X' with 2r% of interest would yeild m/2 amount interest in dollars.
Col A: X
Col B: 5000
Ans: B

15. (root 28/root 112) - (root 7 - root112)
Ans = 1/4.

16. Below 54 how many positive integers are divisible by 2 and 3.
Ans = 8 .

17. (x*x) - 10 < 0......is possible for how many integers.
Ans = 7.

18 . xy < 36.
col A: (x+1)(y+1)
col B: 49
Ans: D


19. Col a: 1.5%0.4%500
Col b: 15%4%5

Ans:c

20. Sales of store A increases from 18% to 24% and sales of store B decreases from 24%to18%
Col a: percentage increase in sales of store A
Col b: percentage decrease insales of store B

Ans: c

21. There are N number of marbles in a jar..... blue,red and green colored. If there are K number of blue marbles which is 1\3 of green ones, 1\5 of red ones.
Col a: N
Col b: 8k

Ans: a

22. A parabola shown has this eqn: y = x^2+3 and distance has to be found between (2,k) and the point where parabola cuts y axis
Ans: 2sqrt5

23.x is negative.
Col A: x^(3x)
Col B: 0
Ans: D

24. N is an integer between 200 and 300 with units digit 5 and tens digit as x
ColA: N/5
ColB: 40+2x
Ans: A

25. There are 67 children in a community, 52 like biking, 21 like skating. all, but 5 like either biking ,skating or both. Number of children who like either Biking or skating but not both?

26. There are 5 officers, 2 consultants average salary of all the officers is x.. and the SD of officers' salary is y. where as average salary of 2 consultants is y.
Col A : average salary of all 7
Col B : y

27. There are five numbers in a series, 19, 22, 25, 26, 28..each number is increased by k so that the new mean is 28.5, what is the new median?

28. On certain investment, profits are recorded. where 1990-1995 increase in funds noted is 15% and for, 1990-2000 total increase is 30%.
ColA .Increase during 1995-2000
ColB. 15%
Ans:B

29. for, r> 10. r+3, r+8 and t are three sides of a triangle
Col A : t
ColB : 5
Answer B

30. r is an integer, t is an odd integer
Col a: the remainder when (r+t)(t+1) is divided by 2
Col b: 1

Ans: A

31. w>0 , z>0
Col a: w^4 + z^3
Col b: w^2 + z
Ans: A

32. Pqst is a rectangle pq=3 pt=6 r is a pt on qt such that area of trapezium pqrt=12 what is the perimeter of trapezium pqrt

33. Which of the following is both the mean and the median of 7 consecutive integer so that the least of which is x.
A. x+4
B. x+3
C. x+2
D. x+28/7
E. x+3/2
Ans: B

34.The two digit no N has 1 in its tens place. And N^2 has 2 in its tens place.
Col a: Digit in hundreds place of N^2
Colb: 1
Ans: D

35. If B purchase x shares for c dollars. Then how many shares he can purchase for d dollars for the same price of 1 share?
Ans: xd/c

36. 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
Ans: A

37. If a dealer had sold a stereo for $600, he would have made a 20% profit. Instead, the dealer sold it for a 40% loss. At what price was the stereo sold?
(A) $300
(B) $315
(C) $372
(D) $400
(E) $440
Ans:A

38. John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?

(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

39.A butcher buys 240 kilograms of beef for $380. If 20 percent of the beef is unusable, at approximately what average price per kilogram must he sell the rest of the beef in order to make a profit of 25 percent?

(A) $2.30
(B) $2.40
(C) $2.45
(D) $2.47
(E) $2.55
Ans: D

40.In a nationwide poll, N people were interviewed . If 1/4 of them answered "yes" to question 1, and of those , 1/3 answered "yes to question2, which of the following expresions represents the number of people interviewed who did not answer "yes" to both questions?
A : N/7
B : 6N/7
C : 5N/12
D : 7N/12
E : 11N/12

41. The equation 3x-4y=8 has
colA: slope
colB: 3/4
Ans:C

42. A parobola is given and was intersecting on y-axis at one point given , y=x^2-3, and a point in xy plane was P(2,k). what is the distance between the point P and that of intersecting on y-axis.
a)6 b)7 c)2sqrt5 d)3sqrt3



43. Col A: 2(1/(sqrt2/sqrt2+1))
ColB: 2+sqrt2
Ans: C

44. The no is in set A if the sum of that no and its reciprocal is greater than 2. Which of the following is not in set A?
a) 1/2 b)1/4 c)1 d)3/4 e)2

Ans: C

45. If B purchase x shares for c dollars. Then how many shares he can purchase for d dollars for the same price of 1 share?



46. List of even no.s less than 500? what is the range of it?
Ans: 496

47. Out of 10 shirts, 2 are defective. 3 are selected. what is the probabiltiy that none is defective?
Ans: 8c3/10c3


48. 2^(x-y) = 1/64
Cola: x
Col b: y

Ans: D

49. A rectangular box with sides 5inches, 6inches, 10inches has weight 17kgs what is its density in kg/cubic feet.
Ans: 17/20 kg/cu.feet

50.m and n are multiples of 7. wich of the foll conditions are true?
I) m+n is a multiple of 7.
II) mn is a multiple of 49(not sure abt dis option)
III) m+n+49 is a multiple of 49.
a)only I
b)only II
c)I and II
d)I and III
e)II and III

51.Col a: median of 7^4, 7^5, & 7^6
Col b: arithematic mean of 7^4, 7^5 ,& 7^6
Ans: B

52. Col A : (1/9+1/10+1/11+1/12+1/13+1/14+1/15)
Col B:7/12
Ans: A

53. How many numbers satisfy the condition x^2-10<0?
a) five
b) six
c) seven
d) eight
e) nine
Ans:c

54. 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


55. The series start with the 5,11,17........there is a gap of 6. then compare
Col A : The nth term between the 110-116 is
Col B : 111
Ans: A



56.A line with slope -5/8 passes thru (k,2) and (3,4) what is k...
Ans: 31/5



57. sqrt(28)/sqrt(112)-sqrt(7)/sqrt(112)
Ans:1/4



58. A group of 4 pumps are filling a tank. Each of the 3 smaller pumps works at 2/3rds the rate of the largest pump. If all 4 pumps work at the same time, they should fill the tank in what fraction of the time that it would have taken the largest pump if it operated alone?
A) 4/7
B) 1/3
C) 2/3
D) 3/4
E) 4/3
Ans: C


59. 0 < X < 10
col a: X
col b: 20-X
Ans: B

60. X < Y < Z X,Y,Z are the prime numbers..also it should satisfy XYZ=105.
col a: Y
col b: X+2
Ans: C

61. Col A: (0.001)^-1 +(0.999)^-1
Col B: (0.002)^-1 + (0.998)^-1
Ans: A

62. X<2,Y<3
Col a: XY
Col b: 6
Ans: D

63. The original price of a furniture was $50.00. Because the manager of the furniture store thought he could get more money for the furniture, he increased the price of the furniture to 108% of its original price. After a week, the furniture had not sold, so the manager then discounted the price by 10%, and the furniture was finally sold. At what price was the furniture sold?
Ans: $48.60

64. A sequence S has the terms x1, x2, x3, x4, x5, x6...after the first term, each term is half the previous term. If x2+x4+x6=42, what is the value of x1+x3+x5?
Ans: 84

65. P1=1,P2=2..... onwards pn=pn-1/pn-2..........so asked what is p5.
Ans: 1/2

66. Whole sale price of an item is x, 20<= x <= 80 the retail price is 5% more than whole sale price the cost price is 5% less than retail price.
Col A - whole sale price
Col B - cost price
Ans: A.

67.xyz=odd integer .wic is even
1) x(y+z)
2) xy+z
3) yz+x
option : 1 only ,, 2and 3,,, only 3,,,, 1 and 2 ,,,, 1,2,3



68. Two concentric circle were given . A tangent to the smaller circle cuts the larger one into 2 points p and t , radius of small circle =2 and larger radius is 5. Then find the length of 'pt' segment .
Ans: 2sqrt21

69.Two cylindrical containers are given with circular base area of 4Pie and 8Pie. 4PI container is filled with a liquid to 3'' height and the 8Pie container to 1" height. The liquid from 4Pie container is pored into the 8Pei container till the level of liquid in both of them is equal. Find the final height
of the liquid?
Ans: 5/3

70.The sum of a no. and it reciprocal should be greater than 2. The which of these is NOT the no.
a)1/2
b)3/4
c)4/3
d)1
e)2
Ans: d

71. N is a two digit no. with ‘x’ in its unit place.
Col.a: The units digit N^3
Col.b: the units digit of x^3
Ans: c

72. Col.a: 30000sqfeet
Col.b: 3000sq meter
Ans: b

73.A circle passes through (0,6) and (8,0)
Col.a: Radius of circle is
Col.b: 10
Ans: d

74. A shopkeper gives discount of 33.33% discount on each product. If a customer buys product for 450$ after discount. Find the original cost.
Ans: 675

75 :xyz=odd integer .which is even
1) x(y+z)
2) xy+z
3) yz+x

76. 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
Ans:B

77.The number of ways in which 8 different flowers can be seated to form a garland so that 4 particular flowers are never seperated is :
A) 4!4!
B) 288
C) 8!/4!
D) 5!4!
E) 8!4!
Ans:D

78.Given:(14-k)w+20=-8
For what value of k ,the equation does not have a value for w.
Col a: K
Col b: 12
Ans:A

79. m+t=1,m < t
col A: mt
colB: m^2

80. P=a,b,c,-5,-10 Q=a,b,c,5,10
The arithematic mean of p is defined as S and arithmetic mean of q is R, then whats the value of S-R?


81.Col A --- prime numbers between 2321 to 3213
Col B--- prime numbers between 2325 to 3221
Ans: B

82. The units digit of 2!+4!+6!+8!+10!....
Ans: 6

83.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

84. Column A: Number of ways in which 5 differently coloured beads be strung on a necklace.
Column B: 5!/2
Ans: B

85. In a nationwide poll, N people were interviewed . If 1/4 of them answered "yes" to question 1, and of those , 1/3 answered "yes to question2, which of the following expresions represents the number of people interviewed who did not answer "yes" to both questions?

A : N/7
B : 6N/7
C : 5N/12
D : 7N/12
E : 11N/12
Ans: E

86. If a dealer had sold a stereo for $600, he would have made a 20% profit. Instead, the dealer sold it for a 40% loss. At what price was the stereo sold?

(A) $300
(B) $315
(C) $372
(D) $400
(E) $440

87. 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

Ans: B

88.A butcher buys 240 kilograms of beef for $380. If 20 percent of the beef is unusable, at approximately what average price per kilogram must he sell the rest of the beef in order to make a profit of 25 percent?

(A) $2.30
(B) $2.40
(C) $2.45
(D) $2.47
(E) $2.55
Ans: D

89. 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

90. John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?

(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

91. Kelly used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is Kelly's discount with the new Ticket price in percent terms?

a) 10%
b) 20%
c) 25%
d) 35%
e) 38%
Ans: B

92.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
Ans: D

93. The series start with the 5,11,17........there is a gap of 6. then compare
Col A : The nth term between the 110-116 is
Col B : 111
Ans: A

94. There are 75 numbers in a row the nth term of a series is 2n+5,find the median of the series when the numbers are from 1 to 75.
ColA: median
ColB: Term 81

95. Two cylindrical containers are given with circular base area of 4Pie and 8Pie. 4PI container is filled with a liquid to 3'' height and the 8Pie container to 1" height. The liquid from 4Pie container is pored into the 8Pei container till the level of liquid in both of them is equal. Find the final height of the liquid.
Ans: 5/3

96. The profit made by a company is given by P and the tax the company has to pay to the govt is $6000 + r% of the profit over $250000. If a company has to pay 3% of its profit as tax, what is the profit made by the company.

97. The product of 10 odd integers gives a negative odd integer.
Col a : number of odd integers
Col b : number of negative integers in the set among the ten

98. There are 67 children in a group. 52 children like playin tennis. 11 like skating.. all but 5 either like playin tennis or skating. How many like playing tennis but not skating
Ans: 47

99. How much interest would accrue over a $4000 loan over 3 months at 8% annual Simple Interest
A)$48
B)$96
C)$240
D)$320
E)$80
Ans: A

100. If the length of the rectangular cuboid is increased by 70 and width by 20 and the height is same.
Col a :the area of the new rectangular is how much % greater than old rectangular cuboid
Col b :70

101. In a triangle ABC...side AB=p,BC=m,AC=n....inside angle A=60,angle B=100 and angle C=20.
Col A :n^2
Col B :p^2+m^2
Ans: A

102. M=10^32+2, if M is divided by 11. What is the remainder?
Ans: 3

103. Number of factors of 2&3 less than 57

104. Between 301 and 1001 find the number of numbers in which sum of ten's digit and unit's digit amounts to 7.

105. xy=36
column 1: (x+1)(y+1)
column 2: 49
Ans: D

106. The remainder when 10^32 is divided by 11 is r.
col a: r+2
col b: 3

107. r is even
set A : 1,2,3.......r
set B : 1 ,2,3,......r,r+1
Col A : prob of getting even number from set A
Col B : prob of getting even number from set B
Ans: D

108. A and B are two players of a game. Both of them have same number of coins before the start of the game. If a person looses the game he gives his opponent 1 coin and if he wins he gets 1 coin. At the end A has won 4 games. B has 8 more coins than the number he had at the start of the game.Assuming there is no tie in any of the games. Find the number of games they played.
Ans: 16

109. Some two huge number 78678 * 669066
what is the sum of the digits in the units and tenth place
a) 12
b) 8
c) 10
d) 6
e) 4

110. 1,7,13,19,23,.....................
if the difference is 6, find the position of the number in the series that lies between 103 and 112
col A: the position
col B: 19
Ans: C

111. a < 0 < b < c
Col a : (ac)/b
Colb : ac
Ans: D

112. A certain container contains 3 cubic feets of mulch.
Col a: Amount of mulch in cubic yards when 100 containers are there
Col b: 13
Hint : use 1 yard = 3 feets
Ans: D

113. Col a: median of 7^4, 7^5, & 7^6
Col b: arithematic mean of 7^4, 7^5 ,& 7^6
Ans: B

114. -1 < x < 0
Col a: Ix-(1/2 ) I
Col b: I-x-(1/2 ) I
Ans: A

115. SRT is an isosceles triangle with SR=ST. P is a point on RT different from both R and T. Which one of the following must be true
i) SP < SR
ii) SP > RP
iii) SP < RT
Ans: only i) is true

116. A salesman gets a compensation of $400 per week and if its income increases more than $1000, he gets x% compensation for every increase in $1000. If that day his income was $2000 what equation can be written.

117. Given 2 circles are tangential to each other and their centers are connected. We had to find the length of the segment. Given ratio of area of 1st circle to 2nd circle is 2:1, and the area of 1st circle is pi.
Ans: 1+(1/sqroot 2)

118. If n and n+2 are both factors of m than which one is greater
Cola :n(n+2)
Col b:m

119. 1,2,2,3,3,3,4,4,4,4,5......... wat is the value of the 100th term
Ans: 14

120. Col a: root 15+root 10
Col b: 7
Ans: A

121. 0 < w < x < y< z. If (z*z)-(y*y)+(x*x)-(w*w)=40, then what is the sum of w+x+y+z?

122. P and q are two numbers that are multiples of 7. Then which of the fallowing are true always??
I.p+q is divisible by 7
II.p^2+q^2+7 is an even number
III.p^2+q^2+49 is divisible by 49

a) I only
b) II only
c) III only
d) I and II only
e) I and III only

123. Given a pentagon with angles x,x,x,2x-66,90.calculate x

124. Line L has slope -5/8 and that line passes through points (2,x),(4,3)
col A :x
col B: 4
Ans: A


125.Col A --- prime numbers between 2321 to 3213
Col B--- prime numbers between 2325 to 3221
Ans: B

126. The units digit of 2!+4!+6!+8!+10!....
Ans: 6

127.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

128. Column A: Number of ways in which 5 differently colored beads be strung on a necklace.
Column B: 5!/2
Ans: B

129. In a nationwide poll, N people were interviewed . If 1/4 of them answered "yes" to question 1, and of those , 1/3 answered "yes to question2, which of the following expressions represents the number of people interviewed who did not answer "yes" to both questions?

A : N/7
B : 6N/7
C : 5N/12
D : 7N/12
E : 11N/12
Ans: E

130. If a dealer had sold a stereo for $600, he would have made a 20% profit. Instead, the dealer sold it for a 40% loss. At what price was the stereo sold?

(A) $300
(B) $315
(C) $372
(D) $400
(E) $440

131. 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

Ans: B

132. A butcher buys 240 kilograms of beef for $380. If 20 percent of the beef is unusable, at approximately what average price per kilogram must he sell the rest of the beef in order to make a profit of 25 percent?

(A) $2.30
(B) $2.40
(C) $2.45
(D) $2.47
(E) $2.55
Ans: D

133. 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

134. John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?

(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

135. Kelly used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is Kelly's discount with the new Ticket price in percent terms?

a) 10%
b) 20%
c) 25%
d) 35%
e) 38%
Ans: B

136.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
Ans: D

137. 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
Ans: A

138. Tom , Dick and Harry went for lunch to a restaurant. tom had $100 with him, Dick had $60 and harry had $409. They got a bill for $104 and decided to give a tip of $16. they further decided to share the total expenses in the ratio of the amount of money each carried. The amount of money which Tom paid more that what harry paid is
A. 120
B. 200
C. 60
D. 24
E. 36
Ans:C

139. Two pipes A nd B can fill a tank in 8 hrs, another pipe c can fill the same tank in 3 hrs. What is the time taken to fill the tank if A,B and C are opened.?
Ans: 24/11 hrs

140. Given equation 2x+3y=1

col a: x intercept of the line

col b: 1/3
Ans: A

141. 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

142. Given 7,8,13,13,9,14,15,15,15,19 is the series and if another no. 15 is added. Which will be affected most

A) Mean B)Median C) Mode D) None
Ans: B

143. There are 20 coloured pencils in a pencil stand. The probability of choosing a yellow pencil is 0.8.There are 6 yellow pencils without an eraser. What is the probability that a yellow pencil chosen is that with has an eraser.?
Ans is D... (If question is given as 20 YELLOW coloured pencils instead of 20 coloured pencils then the answer will be 0.5)

144. In a company A can make 50 pots per hour and B can make 60 pots per hr.

col a: total number of pots made by A

col b: total number of pots made by B
Ans: D

145. Roger sold a watch at a profit of 10%. If he had bought it at 10% less and sold it for $13 less he would have made a profit of 15%. What is the cost price of the watch?
A) $220
B) $300
C) $400
D) $480
E) $540
Ans: A

146. The number of ways in which 8 different flowers can be seated to form a garland so that 4 particular flowers are never seperated is :
A) 4!4!
B) 288
C) 8!/4!
D) 5!4!
E) 8!4!
Ans: D

147. The number of 5 digit telephone numbers having atleast one of their digits repeated is
A) 90000
B) 100000
C) 30240
D) 69760
E) 69000
Ans: D


148. There are 1/3 coins which are gold and 2/3 coins are old ones.
Col A:how many are old and gold coins
Col B:1/3
Ans:D

149. Unit digit of (84) ^ 21 is

150. If sum of 3 interior angle of a pentagon is 270, then the sum of the rest of the two angle is???

151. If n>1
col a: (n!)^2
col b:(2n!)
Ans: D

152. A line with slope -1/2 was given two points (3,y) &(1,2) on the same line. What is the value of y?

153. From 1 to 1000......no. of multiples of 5 and no. of multiples of 7

154. If from jan 1 1990 to jan 1 1995 i.e. in 5 yrs the population increased by 15% and from jan1 1990 to jan 1 2000 i.e. in the period of 10yrs the population increased by 30%
col a: the population increase from jan 1 1995 to jan 1 2000
colb : 15%
Ans:B

155. A line was given and it made 44 degree angle with negative y-axis in the 3rd quadrant. A point on the line was given as p(x,y).Compare between x and y?

Ans: x>y

156. A train travels 15 miles per ton of coal when it carries no cargo. When the train is filled with cargo, it travels 80% as far on a ton of coal as it does when it has no cargo. If the train is filled with cargo, how many tons of coal will the train use to travel 160 miles?

Ans: 13 1/3

157. How many no.of numbers are there less than 56 that are divisble by both 2&3

Ans: 9

158.There are 75 numbers in a row the nth term of a series is 2n+5,find the median of the series when the numbers are from 1 to 75.
colA colB
median term 81

159. A circle was given with centre o.ac being the diameter .2 points between were on either side of the circle...such that 2 triangles abc and acd are formed facing each other. It was given that angle bcd measures x degrees and angle dab measures y degrees
Col a:x+y
Colb:180
Ans is C

160.Given P:{a,b,c,-5,-10}
R:{a,b,c,5,10}
average of P is s and average of R is t. Find s-t.
Ans:-6

161. 2 men can do work in 12 hrs and 3rd man alone can do in 8 hrs. What if all three do it together.

162. P={1.3, 0.9, 1.5, 1.1}
Q={1.3x, 0.9x, 1.5x, 1.1x}
col a: standard deviation of P
col b: standard deviation of Q

163. 2 < a < 6 < b < 10, Averageof numbers 3,6,9,a,b is 6.2
Col a: 6-a
ol b :b-6
Ans: B

164. z=mod(28m+19p) , m and p are non zero than least value of z

165. How many combinations of three numbers from 1 to 10 can be made such that x < y < z. where x,y,z belongs to 1 to 10
ex: (1,2,3) ; (2,4,10)
Ans: 512

166. A square with in square with in square... is given and length of bigger square is 8. Then length of smaller square

167. Diagram(shows a rectangle with longer side 42mts shorter side 18mts) If its shorter side is joined to form a circle.
Col A Col B
Diameter of the circle 9

168. 0 < x < 1 < y < 2
col A: x+y
col B:xy


169. Col A: sq root (13) + sq root (15)
Col B: sq root (47)
Ans:A

170. A line k passes through (0,0) and (3,k) and line l passes through (0,0) & (5,k).
Col A: slope of l
ColB: slope of k
Ans: D

171. A person starts practicing guitar for 5 min per day in the first week and then 5min more than previous week in the susequent weeks. How many hours per day does he practice in the 10th week?
Ans:5/6hr (or) 50mins

172.The average of 55 girls is g,average of 45 boys is b then Col a Col b the avg of 100 boys and girls (b+g)/2

173. A Line K passes through (3,4) and origin, line L passes through (-3,4) and origin. Find the angle between the lines.
1)75
2)80
3)90
4)100

174. Col a: root 15 *root 10
Col b: 7
Ans: A

175. In 1979, approximately of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was the number that used Kennedy Airport and 4 times the number that used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
(A) 18.6(B) 9.3(C) 6.2(D) 3.1(E) 1.6
Ans: B

176. Two identical taps fill 2/5th of the tank in 20 minutes, when one goes dry in how many mts will remaining one tap will fill rest of the tank?
Ans: 60mins

177. What is the greatest value of positive integer n. Such that 3n is a factor of 1815?
Ans: 605

178. Find the missing number in the series. 1,7,15,__,37.
Ans: 25

179. If the length is increased by 50% and height is increased by 20% and width remains same. What is the % increase in volume?
a)60 b)70 c)80 d)90 e)50
Ans: c

180.A student answers all 25 questions in a test. His score is obtained by giving him 4 marks for a correct answer and then subtracting 1 mark for each incorrect answer. If he obtains a score of 70. how many questions did he answer correctly?
a) 9
b)19
c) 20
d) 22
e)Cannot be determined
Ans: b

181. A woman when working with her daughter takes 2 hours to complete the housework , and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone
a) 6
b) 2
c) 4
d) 9
Ans: a

182. In a class consisting 100 students 20 know English and 20 do not know Urdu and 10 know neither English nor Urdu. The number of students knowing both Urdu and English is:
a) 5
b) 15
c) 10
d) Cannot be determined
Ans: d

183. Amir lent Rs. 600 to Hameed for 2 years and Rs. 150 to Aman for 4 years and received altogether from both Rs. 90 as simple interest. The rate of interest is
a) 4%
b) 5%
c) 10%
d) 12%
Ans: b

184. The combined mean of three groups is 12 and the combined mean of the first two groups is 3. if the first, second and third groups have 2, 3 and 5 items respectively, then mean of third group is:
a) 10
b) 21
c) 12
d) 13

185. How many ounces of pure acid must be added to 20 ounces of a solution that is 5% acid to strengthen it to a solution that is 24% acid?
a) 6
b) 5
c) 5/2
d) 10
Ans: b

186. 4^n + 4^(n+1) = 5/64 what is n^2 .
a) 36
b) 25
c) 16
d) 9
e) 4
Ans: d

187. r^2 = (-1) (s^2 +2st)
Col A: r
Col B: s
Ans: d

188. SRT is an isosceles triangle with SR=ST. P is a point on RT, with a different distance from both R and T. Which one of the following must be true
i) SP < SR
ii) SP > RP
iii) SP < RT
Ans: only i) is true

189.Two cylindrical containers are given with circular base area of 4Pie and 8Pie. 4PI container is filled with a liquid to 3'' height and the 8Pie container to 1" height. The liquid from 4Pie container is pored into the 8Pei container till the level of liquid in both of them is equal. Find the final height of the liquid.
Ans: 5/3

190. xy < 36
Col A: (x+1)(y+1)
Col B: 49 Ans: d

191. Find the unit digit of the (3127)^173.
Ans: 7

192. There was a total of L slices of pizza. Mr. X keeps some pizza for himself and divides the remaining slices among Q friends. If each friend receives T slices, how many slices does Mr. X keep for himself? ( re-framed sentences )
Ans: L-(Q*T)

193. A cab-for-hire company costs $1.75 for the first quarter mile and fifteen cents for each additional quarter mile. What is the maximum distance you can travel with $4.90?
Ans: 5 1/2 miles

194. A master builder is building a new house. He gets 3 apprentices each work 2/3 as fast as he does. If all 4 work on it together, they should finish it in what fraction of the time that it would have taken the master builder working alone?
Ans: 1/3

195. A salesman's income was divided between commission and regular salary. His salary, therefore, varied from week to week. His weekly salaries over a 5-week period were: $406.20, $413.50, $420.00, $425.00 and $395.30. What was his average weekly salary over the 5 week period?
Ans: $412.00

196. A train travels 15 miles per ton of coal when it carries no cargo. When the train is filled with cargo, it travels 80% as far on a ton of coal as it does when it has no cargo. If the train is filled with cargo, how many tons of coal will the train use to travel 160 miles?
Ans: 13 1/3

197. The average (arithmetic mean) of six numbers is 24. If the sum of four of these numbers is 96, what is the average of the other 2 numbers?
Ans: 24

198. A bottle cap factory makes 7,200 bottle caps per hour, how many does it make per second?
Ans: 2

199. Sam earns $12 per hour and Peter earns $10 per hour. Approximately how much less, as a percentage, does Peter earn than Sam per hour?
Ans: 17 %

200. Person A takes 4hrs to complete a job and person B takes 6 hrs to complete the same job if they work together how much time will they require?
Ans: 2 2/5 (or) 2.4hrs

201. What is the probability that particular year between 1987 and 1992 has 53 Sunday

202. A flower is picked at random,there are yellow and green flowers,and straight and curved flowers..the propability of picking green flower is 3/4 and a straight flower is 1/2..what is the prpability of picking a flower that is yellow and it is straight?
a)1/8 b)1/4 c)7/8 d)3/4
Ans:1/8

203. Seven small circles are there in a large circle whose diameter is D.Find area of unshaded region?
Ans: d^2/18

204. t,u,v,x,y are arranged in a line . The total no of arrangements such that u and v lie side by side ?
Ans: 4!*2!=48

205. 1,2,2,3,3,3,4,4,4,4................then find 100th term.
Ans:14

206. The original price of a furniture was $50.00. Because the manager of the furniture store thought he could get more money for the furniture, he increased the price of the furniture to 108% of its original price. After a week, the furniture had not sold, so the manager then discounted the price by 10%, and the furniture was finally sold. At what price was the furniture sold?
Ans: $48.60

207. 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?
Ans: 12.5 %

208. A pair of fair six-sided dice are rolled. The probability that the sum of the numbers, on the faces up is 12. What percent greater than the probability that the sum of the faces up is 2?
Ans: 0 %

209. 7 1/5 inches is what fraction of a yard?
Ans: 1/5

210. 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 thesame color are dispensed?
(A) $1.00(B) $1.75(C) $2.00(D) $2.25(E) $2.50
Ans: B

211. The difference between compound interest and simple interest on certain sum of money in 2 yrs at 8% is $8. Find the sum.
Ans: $1250

212.The perimeter of a rectangle is 92 sq feet. If the length of the rectange is 1 greater than twice the breadth of the rectangle, what is the length of the rectangle.
Ans: 31

213. 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.
Ans: 24 / (T-60).

214. If A - (B/3) = 1/3 and A + (B/4) = 3/2, find A + B.
Ans: 3

215. Given 7,8,13,13,9,14,15,15,15,19 is the series and if another no. 15 is added. Which will be affected most
A) Mean B)Median C) Mode D) None
Ans: B

216. A and B are two players of a game. Both of them have same number of coins before the start of the game. If a person looses the game he gives his opponent 1 coin and if he wins he gets 1 coin. At the end A has won 4 games. B has 8 more coins than the number he had at the start of the game.Assuming there is no tie in any of the games. Find the number of games they played
Ans: 16

217. -1 < n < 0
Col A: n^7
Col B: n^5
Ans: A

218. Given that there are 2 circles which are tangential to each other and their centers are connected. We have to find the length of the segment. The ratio of area of 1st circle to 2nd circle is 2:1 and the area of 1st circle is pi.
Ans: 1+(1/sqroot 2)

219. A classroom has a ratio of girls to boys of 4 to 3. If the class has a total of 35 students, how many more girls are there than boys?
Ans: 5

220. A clock was purchased on sale for $140. If it was marked down 30%, what was the original price?
Ans: $200

221. A salesman makes a profit of 5% on his first $1,000 of sales each day, and 7% on all sales in excess of $1,000 for that day. How much commission will the salesman make if his sales are $7,000 in one day?
Ans: $470.00

222. If a**b = ab - b + b², then 3**5 =
Ans: 35

223.There are two cylindrical jars M and N ...of bottom area 4pi and 8pi and water in them are at height of 3inch and 1inch respectively. If some water from Jar M is poured to Jar N to make the height of the water level in both the jars same... what is the height of the water level in the jar?.
a)3/2
b)5/2
c)4/3
d)5/3
Ans: d

224. Given.... length-5inchs, breadth-12inchs, height-6inchs and mass 17 kg. Find the density in kg/ft^3.

225. If n and n+2 are both factors of m than which one is greater
cola :n(n+2)
col b:m

226. There are 3 points P,Q,R in a plane. Point R is not on PQ.What amongst the options will be true if all 3 points are eqidistant from each other.
a) a straight line
b) a unit circle
c) a triangle
d) none of the above.
Ans: C

227. Units digits of
Cola Colb
(14)^14 (16)^16
Ans: C

228. 1,7,15,__,37
Find the missing number in the series.
Ans: 25

229. 5,5,7,7,6 and 50 ,50,50,50 are the 2 series find standard deviation , which is greater?

230. What is the remainder when 10^32+2 is divided by 11.
Ans: 3

231. Two cylindrical containers are there. One with internal radius 3 inches other with internal radius 6 inches. The 3 inch cylinder is of 10 inch height of which up to 9 inches was filled with a liquid. What would be the depth of the liquid in the 2nd container if 1st container is emptied into the second container (previously empty)
Ans: 2.25 inches

232. Col A: 30000 sq feet
Col B:3000 sq mt.
Ans: B

233. A circle was given with centre O. AC being the diameter. two points B and D were there on either side of the circle....... such that two triangles ABC and triangle ADC are formed facing each other. It was given that angle BCD measures x degrees and angle DAB measures y degree.
col A: x+y
col B: 180

234. A tank in cylindrical shape with inside radii being 10metres and height also 10metres.......it is filled with 175,000 liters of water.........what is the height of water in the tank(1000 litres=1 cubic litre).

235. m + K = 1, m < k
col a:- mk
col b: m^2
Ans: D

236. Col A : Median of 7^4, 7^5, 7^6
Col B : Average of 7^4, 7^5 , 7^6
Ans: B

237. -1 < x < 0
col A : | -x - 1/2|
col B : | x - 1/2|
Ans: B

238. If n^3/K^3=-1 then what is the value for (n^-1)+(k^-1)=??
A)-1
B)-2
C)0
D)1
E)2
Ans C

239. 0 < r < 1 and 0 < t < 1
colA: (r+t)/rt
colB: 2 Ans: A

240. A circle is inscribed in square.
colA: 1/2 length of the radius of circle
colb: 1/4 length of the side of the square.
Ans: C

241. If a number n is divided by 11 it gives remainder 5 then what is the remainder when 7n is divided by 5.
Ans remainder is 2

242. Given X^-1=2/y^2+1
col a : x
col b : y^2/2
Ans: A

243. Col a Col b
(1/10000)^-5 10000^5
Ans: C

244. A parabola was draw and a point on it was given as P(2,K)and it was cuting the Y axis at a point below 2 .ie. it was open upwards the distance was asked between th point P and the point where the parabola cuts th y axis
a:3
b:7
c:2sqroot(5)
d:2sqroot(7)
e:3sqroot(3)

245. (r,t)no.of integer which is less than 10 how many pairs should be form 7r+7t the value to be double
a)2
b)6
c)8
d)12
e)16

246. The wholesale price for an item is x% and the selling price is 10% more than the wholesale price and the resale price is 10% lower than the selling price..
colA colB
wholesale price Resale price
Ans:A

247. If a^-3 + b^-3=0
col A col B
a^2+b^2 8
Ans: D

248. Col A Col B
(1/9+1/10+1/11+1/12+1/13+1/14+1/15) 7/12
Ans: A

249. A square with a smaller square drawn inside it such that the vertices of the smaller square are on mid points of the larger square. Similarly one more square is drawn inside the smaller square.What is the length of smaller square in terms of larger square.

250. A car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sud sequent rounds its speed increases by 11km/hr in each round how much time does the car take to cover a dist of 440km
a)14*8/5
b)15*14/18
c)18*4/15
d)4*15/18
e)7*4/15
Ans: C

251. Circle A is a tangent to circle B.. ratio of areas of circle A to B is 2:1. area of circle A is pie. Then What is the lengh of segment AB....segment AB in the figure was the total length of the two radii.. (ie. radius of circle A and radius of circle B).
a) 1
b) 2
c) 1+1/root2
d) 1+root 2

252. There are 3 points P,Q,R in a plane. Point R is not on PQ.What amongst the options will be true if all 3 points are eqidistant from each other.
a) a straight line
b) a unit circle
c) a triangle
d) none of the above.


253. A thin carpet of length 30 ft was laid around a rectangular field of area 54 sqft. if the carpet was exactly sufficient find the length of the longer side

254.What are the maximum number of right angels a quadrilateral can have if no two sides in are equal...

255. There are 5 letters R, S, T, U, X.. find number of ways they can b arranged if T & X are to stay together always

256. When 30 gallons water poured in to cylinder whose sides are perpendicular to base, water level rises 0.5 ft, if 7.5 gallons occupy 1cu.ft space what is the area of base of tank?
Ans: 8sq.ft

257. A wooden cube whose edge is 3 inch is painted red,cut into 27 pieces of 1 inch edge. Find total surface area of unpainted?

258. -1 < x < 0
Col a: I -x-1/2 I
Colb: I x-1/2 I
Ans: B

259. n is a +ve integer.what is the least value of n if 90n is a perfect cuberoot.
Ans: 300

260. A line with slope -1/2 was given.Two points (3,y) &(1,2) line on the small line.What is the value of y?
Ans: 1

261. Cola: 2z/root2
Colb: zroot2
Ans is c i.e,both da columns r equal

262. Remainder when 7^548 is divided by 9?

263. A box contain 10 bulbs, out of which 2 are defective. 3 bulbs r choosen at random frm this box.the probability that atleast one of these is defective.
Ans: 8/15.

264. Units digits of
Cola Colb
14)^14 (16)^16
Ans: C, i.e both the columns r equal

265. 8,9,11,12,12, 14,15,15, 15,18
if one 15 is also added....which one will be most affected?
a. mean b.median c.mode d.range e.none of these
Ans: b

266. What is the prob.. that particular year b/n 1987 and 1992 has 53 Sunday
Ans. 2/7.

267. 2X+3Y=4 what is the X- intercept of the line
Sol: 2X/4 + 3Y/4 = 1
X/2 + Y/4/3 = 1
Therefore the X- intercept is 2

268. The Three vertices of a parallelogram is given as (0,0) (1,2) (3,3) and asked to find out the fourth vertices.
Sol: The answer is (2,1) , Figure is given and by that it is very easy to answer that
question

269. A circle is drawn inside an other circle, the center of both circles are the same, the radius of the first circle is X and the radius of the second circle is X+Y,we are asked to find out the probability that if a point is taken from the circle the point should lie in the smaller circle of radius X.
Sol: Area of smaller circle = Pi ( X^2)
Area of larger circle = Pi ( X+Y)^2
The probability =number of favorable chance / Total number of chance
= (X^2) / (X+Y) ^ 2]

270. There are 84 people who watch television and 72 members use pagers and X members watch only Television.
Col A Col B
Number of people use only pagers X – 12
Sol: Draw a Venn diagram
Total number of ppl who watch television = 84.
No of ppl who watch TV and use pager = 84-X
Number of ppl who use only pager = 72- ( 84 – X )
= 72- 84 + X
= X- 12
Therefore C is the answer.

271. Find the Y – intercept of the equation 3X-2Y=5
Sol: X/ (5/3) + Y/(-5/2) = 1, Therefore the Y intercept is : -5/2

272. The amount of Rs.600/- is given at a rate of X% per annum , If he receives additional Rs.90/- after an year then what is the
rate of intrest ( i.e- X )
Sol:
90 rupees intrest?For 600 rupees ------------------------
X?For 100 rupees-------------------------
X= 9000/600 = 15 rupees for 100 , which means 15%

273. A parking garage rents parking spaces for $10 per week or $30 per month. How much does a person save in a year by renting by the month rather than by the week?
(A) $140
(B) $160
(C) $220
(D) $240
(E) $260

274. Trains 100 m and 150m in lenght long are goig in same direction on parrelel tracks.faster train speed is 60 km ph and slower
train speed 42 km ph.at wht time faster train over take slower train.
ans: 250/5 = 50secs

275. 1979 approximately of the 37.3 million airline passengers traveling to or from the United States used Kennedy Airport. If the number of such passengers that used Miami Airport was the number that used Kennedy Airport and 4 times the number that
used Logan Airport, approximately how many millions of these passengers used Logan Airport that year?
(A) 18.6
(B) 9.3
(C) 6.2
(D) 3.1
(E) 1.6

276. There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first
paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies
were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
(A) 45,000
(B) 360,000
(C) 364,500
(D) 392,000
(E) 396,900
answer: 364,500

277. symbolic representation problem very time consumed one given dat x*=(x-1)/x condition is x<0 not necessary find which of the following is true
a)2x*=2(x*)
b)-x*=x*
c)(x-1)*/x=x*...
d)(x*)*=x

278. Cola:0.0001/0.9 + 2.456/1.294
Colb:5.563/2.78 + 13.569/5.265
Answer B

279. A parabola was draw and a point on it was given as P(2,K) and it was cuting the Y axis at a point below 2 .ie. it was open upwards the distance was asked between th point P and the point where the parabola cuts th y axis
a:3
b:7
c:2sqroot(5)
d:2sqroot(7)
e:3sqroot(3)

280. units place of 2!+4!+6!+8!+10!
ans :6

281. the perimeter of rectange x is more them the perimeter of rect.y
col a:area of rectangle x
col b:area of recatngle y
ans d

282. There are two concentric circles with radii 2 and 5 units.A tangent is drawn to the smaller circle which cuts the bigger circle at T and R.what is the length of TR.
ans: 2(root21)


283. If the nth term of series is 75, the n value ranges from 1 to 75. What is the median of the series?
Ans: 38

284. -5 to 5 was on number line. A point p was between -1 and 0,q was between 1and 2 and r was between 4 and 5.
col a::::distance of point q frm point p
col b::::2
Ans: D

285. If r^2 + r = m then which one is must condition...
1. r is even,m is even
2. r is odd. m is odd
3. r is even or odd..m is even
ANS: 3

286. If sum of 3 interior angle of a pentagon is 270, then the sum of the rest of the two angle is???
Ans: 270.

287. col a::: (r + t)/rt
col b::::2
and 0 < r < 1 and 0 < t < 1
Ans: A

288. 8,9,11,12,12,14,15,15,15,18 if one 15 is also added....which one will be most effected?
A. Median B. Mode C. Mean D. None
Ans: A

289. There were 67 students out of which 57 play football, 21 play basket ball...we have to find the no. of students who plays only football and only basket ball?
Ans: 46 & 10.

290. 0 < x < 1 < y < 2
colA: x+y
colB: xy
Ans: A

291. x ,50,y are 3integers whose mean is 50 and range is 20.Find the greatest value among these 3 integers.
a) 65
b)60
c)75
d)70
e)80
Ans: B

292.1, 2,2, 3,3,3, 4,4,4,4, 5,5,5,5,5............... all these are positive integers if numbers are increased like this ..........then which is 100th term?
a) 11
b)12
c)13
d)14
e)15
Ans: D

293. An Energency vehicle traves 10miles at a speed of 50mph. How fast must the vehicle travel on the return trip, if the round trip travel time is to be 20mins.
A)55MPH
B)60MPH
C)65MPH
D)70MPH
E)75MPH
Ans: E

294. r.s.t.u=0 and s.t.u.v=1
col a) r
col b) s
Ans: D

295. A racetrack bounded by 2 concentric circles one wit a diameter 160 yards and another diameter 140 yards,is to be covered with asphalt.the asphalt layer is to be 1 foot deep, how many cubic yards of asphalt will be needed?
a)75pi
b)90pi
c)500pi
d)1500pi
e)2000pi
Ans: C

296. A monkey climbs a pillar up to 6m in 1st min. and in next min it slides down 3m from the pillar. in this way the monkey climbs pillar slowly.if the height of it is60m then how much time will it take to reach top?
a)31min
b)33min
c)35min
d)37min
e)39min
Ans: d


297. Col a: (1/9+1/10+1/11+1/12+1/13+1/14+1/15)
Col b: 7/12
ANS: col b

298. A pentagon with angles x, x, x, 2x-90, 80. What is x?
ANS: 110

299. 90n, find n such that 90n is a perfect cube root?
Ans: 300

300. The bottom of an underground rectangular tank has an area of 12 square feet and the depth of the tank is 10 feet. A liquid is pumped into the empty tank at the constant rate of 30 cubic feet per minute. After how many minutes will the depth of the liquid in the tank be 8 feet?
(A) 1.5
(B) 2.0
(C) 2.5
(D) 3.2
(E) 4.0
Ans: D

301. Col A Col B
root(5^2) 5*root(5)
Ans: col b is greater

302. Trains 100 m and 150m in length long are going in same direction on parallel tracks. Faster train speed is 60 km ph and slower train speed 42 km ph. At what time faster trains over take slower train?
Ans : 50 sec

303. Col A: 3^50/4^50
COL B: 6^25/8^25
Ans: col b is greater.

304. A car goes around a circle of radius of 14km in the first round it travels with a speed of 11km/hr in sub sequent rounds its speed increases by 11km/hr in each round how much time does the car take to cover a dist of 440km
a)14*8/5 b)15*14/18 c)18*4/15 d)4*15/18 e)7*4/15
Ans: C

305. Certain basketball team that has played of its games has a record of 17 wins and 3 losses. What is the greatest number of the remaining games that the team can lose and still win at least of all of its games?
(A) 7
(B) 6
(C) 5
(D) 4
(E) 3
Ans: B (If and only if the no. of games are 20)

306. Col a:(2^8)*(15^5)+(2^8)*(15^5)
Col b:(5^10)*(8^2)
Ans: B

307. A gardener wishes to plant 5 bushes in a straight row.Each bush has flowers of a different solid color (white, yellow, pink red, and purple). How many
ways can the bushes are arranged so that the middle bush is the one with red flowers?
(A) 24
(B) 30
(C) 60
(D) 96
(E) 120
Ans: A

308. There were 36.000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold. 9 times as many paperback copies as hardback copies were sold. If a total of 441.000 copies of the novel were sold in all, how many paperback copies were sold?
(A) 45.000
(B) 360.000
(C) 364.500
(D) 392.000
(E) 396.900
ANS: C

309. Roger sold a watch at a profit of 10%. If he had bought it at 10% less and sold it for $13 less he would have made a profit of 15%. What is the cost price of the watch?
$220
$300
$400
$480
$540

310. Given X^-1=2/y^2+1
Col a: x
Col b: y^2/2
Ans:Col a is greater

311. n, k are two positive integers
Col.a: k^2+n
Col b: k^n/2

312. An examination paper contains 8 questions of which 4 have 3 possible answers,3 have 2 possible answers each and the remaining one question has 5 possible answers. The total number of possible answers to all the questions is :
A) 3240
B) 94
C) 78
D) 2880
E) 36
Ans: A

313. 90n, find n such that 90n is a perfect cube root.
Ans: n=300

314. Two cylindrical containers are there. One with internal radius 3 inches
other with internal radius 6 inches. The 3 inch cylinder is of 10 inch
Height of which up to 9 inches was filled with a liquid. What would be?
The depth of the liquid in the 2nd container if 1st container is
Emptied into the second container (previously empty).
Ans: 2.25

315. -1 < x< 0
column 1: mod(x-1/2)
column 2: mod (-x-1/2)
Ans: Column 1 is greater.

316. xy=36
column 1: (x+1)(y+1)
column 2: 49
Ans: D(cannot be determined)

317. The number of 5 digit telephone numbers having at least one of their digits repeated is
A) 90000 B) 100000 C) 30240 D) 69760 E) 69000
Ans: D

318. A thin carpet of length 30 ft was laid around a rectangular field of area 54 sqft. If Carpet was exactly sufficient, find the length of the longer side.

319. A rectangular block had length 10 inch, breadth 5 inch, width 2 inch... if the weight of the block was 20 pounds. Find then density of the block in pound per cubic feet.

320. What are the maximum number of right angels a quadrilateral can have if no two sides in are equal.

321. There are 5 letters R, S, T, U and X. find number of ways they can be arranged if T & X are to stay together always.

322. 1,2,2,3,3,3,4,4,4,4,5......... what is the value of the 100th term.