HTET Solved Question Paper haminpur.com
1. when simplified, the product
is equal to
(A). 5/999
(B). 1001/999
(C). 1001/3
(D). none of these
Right Answer: C
2. the remainder obtained when 231 is divided by 5 is:
(A). 2
(B). 3
(C). 4
(D). 1
Right Answer: B
3. what least value must be assigned to * so that the number 451 * 603 is exactly divisible by 11?
(A). 2
(B). 5
(C). 8
(D). 7
Right Answer: C
4. there is one number which is formed by writing one digit 6 times (e.g111111,444444 etc.) such number is always divisible by :
(A). 7
(B). 11
(C). 13
(D). all of these
Right Answer: D
5. in a division sum, the divisor is 10 times the quotient and 5 times the remainder.if the remainder is 46,the dividend is :
(A). 4236
(B). 4306
(C). 4336
(D). 5336
Right Answer: D
6. an electronic device makes a beep after every 60 sec. another device makes a beep after every 62 sec. they beeped together at 10 a.m the time when they will next make a beep together at the earliest,is :
(A). 10.30 a.m
(B). 10:31 a.m
(C). 10.59 a.m
(D). 11 a.m
Right Answer: B
7. if 1.125*10k = 0.001125,then the value of k is :
(A). -4
(B). -3
(C). -2
(D). -1
Right Answer: B
8.
(A). 0.43
(B). 1.89
(C). 1.29
(D). 1.63
Right Answer: C
9. a third of vinod’s marks in mathematics exceeds a half of his marks in social studies by 30. if he got 240 marks in the two subjects together,how many marks did he get in social studies?
(A). 40
(B). 60
(C). 80
(D). none of these
Right Answer: D
10. a class starts at 10 a.m and lasts till 1.27 p.m. four periods are held during this interval. after every period, 5 minutes are given free to the students. the exact duration of each period is
(A). 42 minutes
(B). 48 minutes
(C). 51 minutes
(D). 53 minutes
Right Answer: B
11. a person gave RS 2500 to his eldest son,5/12 of the whole property to the second son and to the youngest as much as to the first and second son together. how much did the youngest son get?
(A). RS 10,000
(B). RS 15,000
(C). RS 20,000
(D). RS 25,000
Right Answer: B
12. in a family, the father took 1/4 of the cake and he had 3 times as much as others had. the total number of family member is:
(A). 3
(B). 7
(C). 10
(D). 12
Right Answer: C
13. a man distributed RS 100 equally among his friends. if there had been 5 more friends, each would have received one rupee less. how many friends had he ?
(A). 20
(B). 25
(C). 30
(D). 35
Right Answer: A
14. if =
2.449 then the value of 3 
is :
(A). 0.6122
(B). 1.223
(C). 1.2245
(D). 0.8163
Right Answer: C
15. The average of 5 consecutive numbers is n. if the next two numbers are also included,the average will
(A). increase by 1
(B). remain the same
(C). increase by 1.4
(D). increase by 2
Right Answer: A
16. the average age of a class is 15.8 years. the average age of boys in the class is 16.4 yrs while that of the girls is 15.4 years. what is the ratio of boys to girls in the class?
(A). 1:2
(B). 3:4
(C). 3:5
(D). none of these
Right Answer: D
17. sachin was twice as old as ajay 10 years back. how old is ajay today if sachin will be 40 years old 10 years hence?
(A). 20 years
(B). 10 years
(C). 30 years
(D). none of these.
Right Answer: A
18. choose the odd numeral pair/group in each of the following
(A). 12-144
(B). 13-156
(C). 15-180
(D). 16-176
Right Answer: D
19. how many terms are there in the series 201,208,215,……369?
(A). 23
(B). 24
(C). 25
(D). 26
Right Answer: C
20. if DELHI is coded as 73541 and CALCUTTA as 82589662, how can CALICUT be coded?
(A). 5279431
(B). 5978213
(C). 8251896
(D). 8543691
Right Answer: C
21. if in a certain language, 943 is coded as BED and 12448 is coded as SWEET, how is 492311 coded in that language?
(A). EDSWBS
(B). TSWBDD
(C). DSWTEE
(D). EBDSWE
Right Answer: D
22. If eraser is called box, box is called pencil, pencil is called sharpener and sharpener is called bag, what will a child write with?
(A). eraser
(B). box
(C). pencil
(D). sharpener
Right Answer: D
23. Deepak is brother of ravi.rekha is sister of atul. Ravi is son of rekha. How is Deepak related to rekha?
(A). son
(B). brother
(C). nephew
(D). father
Right Answer: A
24. in a certain office, 1/3 of the workers are women, 1/2 of the women are married and 1/3 of the married women have children. if 3/4 of the men are married and 2/3 of the married men have children, what part of workers are without children?
(A). 5/18
(B). 4/9
(C). 11/18
(D). 17/36
Right Answer: C
25. Reena is twice as old as sunita. Three years ago, she was three times as old as sunita. How old is reena now?
(A). 6 years
(B). 7 years
(C). 8 years
(D). 12 years
Right Answer: D
26. two trains start from ststions A and B and travels towards each other at speeds of 50 kmph and 60 kmph respectively. at the time of their meeting the second train has travelled 120 km more than the first. the distance between A and B is :
(A). 990 km
(B). 1200 km
(C). 1320 km
(D). 1440 km
Right Answer: C
27. A train covers a certain distance in 50 minutes, if it runs at a speed of 48 kmph on an average. the speed at which the train must run to reduce the time of journey to 40 minutes, will be :
(A). 50 km/hr
(B). 55 km/hr
(C). 60 km/hr
(D). 70 km/hr
Right Answer: C
28. two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3. in what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?
(A). 7 : 5
(B). 1 : 2
(C). 2 : 1
(D). 6 : 5
Right Answer: A
29. If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a, then the gain of B ( in Rs .) in a period of 3 years is:
(A). 107.50
(B). 115.50
(C). 157.50
(D). 177.50
Right Answer: C
30. if a sum of money at simple interest doubles in 6 years, it will become 4 times in :
(A). 12 years
(B). 14 years
(C). 16 years
(D). 18 years
Right Answer: D
31. in how many years will a sum of money double itself at 12% per annum ?
(A). 6 years 9 months
(B). 7 years 6 months
(C). 8 years 3 months
(D). 8 years 4 months
Right Answer: D
32. at the rate of 6% p.a. simple interest , a sum of Rs. 2500 will earn how much interest by the end of 5 years?
(A). Rs 150
(B). Rs 700
(C). Rs 750
(D). Rs 3250
Right Answer: C
33. a person borrowed Rs. 500 at the rate of 5% per annum S.I. what amount will he pay to clear the debt after 4 years?
(A). Rs. 107.50
(B). Rs. 550
(C). Rs. 600
(D). Rs. 700
Right Answer: C
34. if log3 x = -2, then x is equal to :
(A). -9
(B). -6
(C). -8
(D). 1/9
Right Answer: D
35. in each side of a square is increased by 25%, its area is increased by :
(A). 25 %
(B). 50 %
(C). 40.5 %
(D). 56.25 %
Right Answer: D
36. the ratio between the length and breadth of a rectangular field is 5:4. if the breadth is 20m less than the length, the perimeter of the field is :
(A). 260 m
(B). 280 m
(C). 360 m
(D). none
Right Answer: C
37. the cost of carpeting a room 18m long with a carpet 75 cm wide at 45 paise per metre is Rs. 81. the breadth of the room is :
(A). 7 m
(B). 7.5 m
(C). 8 m
(D). 8.5 m
Right Answer: B
38. in a game of 100 points, A can give B 20 points and C 28 points. then, B can give C :
(A). 8 points
(B). 10 points
(C). 14 points
(D). 40 points
Right Answer: B
39. if the first day of the year 1991 was Tuesday, what day of the week must have been on 1 st January, 1998?
(A). Monday
(B). Tuesday
(C). Wednesday
(D). Thursday
Right Answer: D
40. today is Tuesday. after 62 days it will be :
(A). Wednesday
(B). Monday
(C). Thursday
(D). Sunday
Right Answer: B
41. find the wrong number in the series : 3, 8, 15, 24, 34, 48, 63
(A). 15
(B). 24
(C). 34
(D). 48
Right Answer: C
42. the year next to 1996 having the same calendar as that of 1996 is :
(A). 2003
(B). 2002
(C). 2001
(D). 2004
Right Answer: C
43. the material of a cone is converted in to the shape of a cylinder of equal radius. if the height of the cylinder is 6 cm, the height of the cone is :
(A). 2 cm
(B). 6 cm
(C). 18 cm
(D). 36 cm
Right Answer: C
44. the radius of a cylinder is the same as that of a sphere. their volumes are equal. the height of the cylinder is how many times its radius?
(A). 4/3
(B). 2/3
(C). 1
(D). 2
Right Answer: A
45. if the height of a cone is doubled, then its volume is increased by :
(A). 100%
(B). 200%
(C). 300%
(D). 400%
Right Answer: A
46. if the ratio of volumes of two sphere is 1:8, then the ratio of their surface area is :
(A). 1:2
(B). 1:4
(C). 1:8
(D). 1:16
Right Answer: B
47. if the surface areas of two spheres are in the ratio of 4:25, then the ratio of their volume is :
(A). 4:25
(B). 25:4
(C). 125:8
(D). 8:125
Right Answer: D
48. a cube of side 6 cm is cut in to a number of cubes , each of side 2 cm. the number of cubes will be :
(A). 6
(B). 9
(C). 12
(D). 27
Right Answer: D
49. the percentage increase in the surface area of a cube when each side is doubled is :
(A). 25%
(B). 50%
(C). 150%
(D). 300%
Right Answer: D
50. three cubes of iron whose edges are 6 cm, 8cm, and 10cm respectively are melted and formed in to a single cube. the edge of the new cube formed is :
(A). 12 cm
(B). 14 cm
(C). 16 cm
(D). 18 cm
Right Answer: A
51. the C.P. of an article is 40% of the S.P. the percent that the S.P. is of C.P. is :
(A). 250
(B). 240
(C). 60
(D). 40
Right Answer: A
52. a reduction of 25% in the price of eggs will enable one to buy 4 dozen more eggs for RS. 96. what is the price per dozen?
(A). RS 6
(B). RS 8
(C). RS 8.50
(D). RS 9
Right Answer: B
53. An article when sold at a gain of 5% yield RS 15 more than when sold at a loss of 5%. what is the C.P.?
(A). RS 64
(B). RS 80
(C). RS 150
(D). RS 200
Right Answer: C
54. monika purchased a pressure cooker at 9/10 th of its selling price and sold it at 8% more than its S.P. Her gain is
(A). 20%
(B). 18%
(C). 10%
(D). 8%
Right Answer: A
55. an article is sold at a certain price. buy selling it at 2/3 of that price one loses 10% . the gain percent at original price is :
(A). 20%
(B). 33 1/3 %
(C). 35%
(D). 40%
Right Answer: C
56. a grain dealer cheats to the extent of 10 % while buying as well as selling, by using false weights. his total gain is:
(A). 10 %
(B). 20 %
(C). 22
%
(D). 21 %
Right Answer: D
57. toffees are bought at the rate of 3 for a rupee. to gain 50%, they must be sold at:
(A). 2 for a rupee
(B). 1 for a rupee
(C). 4 for a rupee
(D). 5 for a rupee
Right Answer: A
58. by selling 45 lemons for RS 40, a man loses 20 % how many should he sell for RS 24 to gain 20 % in the transaction?
(A). 16
(B). 18
(C). 20
(D). 22
Right Answer: B
59. A sells a bicycle to B at a profit of 20 % and B sells it to C at a profit of 25% . if C pays RS 1500 , what did A pay for it ?
(A). RS 825
(B). RS 1000
(C). RS 1100
(D). RS 1125
Right Answer: B
60. anil bought a T.V. with 20% discount on the labelled price. had he bought it with 25% discount, he would have saved RS 500. at what price did he buy the T.V.?
(A). RS 16000
(B). RS 12000
(C). RS 10000
(D). RS 5000
Right Answer: C
61. A retailer buys a sewing machine at a discount of 15% and sells it for Rs 1955. thus, he makes a profit of 15%. the discount is :
(A). Rs 300
(B). Rs 290
(C). Rs 275
(D). Rs 270
Right Answer: A
62. a discount of 30% on the marked price of a toy reduces its S.P. by Rs 30. What is the new S.P. ?
(A). Rs 130
(B). Rs 100
(C). Rs 70
(D). Rs 21
Right Answer: C
63. two buses travel to a place at 45 kmph and 60 kmph respectively. if the second bus takes 5 ½ hours less than the first for the same journey, the length of journey is :
(A). 900 km
(B). 945 km
(C). 990 km
(D). 1350 km
Right Answer: C
64. ramesh covers two-third of a certain distance at 4 kmph and the remaining at 5 kmph. if he takes 42 minutes in all, the distance is :
(A). 2.5 km
(B). 3 km
(C). 4 km
(D). 4.6 km
Right Answer: B
65. a train moves with a speed of 108 kmph. its speed in metres per second is:
(A). 38.8
(B). 18
(C). 30
(D). 10.8
Right Answer: C
66. a speed of 14 metres per second is the same as :
(A). 50.4 km/hr
(B). 28 km/hr
(C). 70 km/hr
(D). 46.6 km/hr
Right Answer: A
67. a man on riding crosses a bridge in 5 minutes when riding is being done at 15 kmph. the length of the bridge is :
(A). 125 m
(B). 250 m
(C). 1250 m
(D). 2500 m
Right Answer: C
68. if a man can swim downstream at 6 kmph and upstream at 2kmph, his speed in still water is :
(A). 4 km/hr
(B). 2 km/hr
(C). 3 km/hr
(D). 2.5 km/hr
Right Answer: A
69. a man can row upstream at 8 kmph and downstream at 13 kmph. the speed of the stream is :
(A). 5 km/hr
(B). 2.5 km/hr
(C). 10.5 km/hr
(D). 4.2 km/hr
Right Answer: B
70. if anshul rows 15 km upstream and 21 km down stream taking 3 hours each time, then the speed of the sream is :
(A). 1 km/hr
(B). 1.5km/hr
(C). 2 km/hr
(D). 12 km/hr
Right Answer: A
71. the sum of the squares of two numbers is 3341 and the difference of their squares is 891. the numbers are :
(A). 25,46
(B). 35,46
(C). 25,36
(D). none of these
Right Answer: B
72. the sum of two numbers is 15 and the sum of their squares is 113. the numbers are :
(A). 4,11
(B). 5,10
(C). 6,9
(D). 7,8
Right Answer: D
73. the product of two numbers is 120 and the sum of their squares is 289. the sum of the number is :
(A). 20
(B). 23
(C). 169
(D). none of these
Right Answer: B
74. two different natural numbers are such that their products is less than their sum. one of the numbers must be:
(A). 1
(B). 2
(C). 3
(D). none of these
Right Answer: A
75. the difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. the numbers are :
(A). 600,400
(B). 640,360
(C). 628,372
(D). none of these.
Right Answer: C
76. One-fourth of one-third of two-fifth of a number is 15. what will be 40% of that number?
(A). 120
(B). 180
(C). 270
(D). 350
Right Answer: B
77. three-fourth of a number exceeds its one-third by 60. the number is :
(A). 108
(B). 144
(C). 270
(D). 350
Right Answer: B
78. the number which when added to 10 times itself gives 264, is :
(A). 20
(B). 22
(C). 24
(D). 26
Right Answer: C
79. a number when divided by 4 is reduced by 21. the number is :
(A). 18
(B). 20
(C). 28
(D). 38
Right Answer: C
80. four-fifth of a certain number is 64. half of that number is :
(A). 16
(B). 32
(C). 40
(D). 80
Right Answer: C
81. a number exceeds 20% of itself by 40. the number is:
(A). 50
(B). 60
(C). 80
(D). 320
Right Answer: A
82. if 16% of 40% of a number is 8, the number is :
(A). 320
(B). 225
(C). 200
(D). 125
Right Answer: D
83. what is 25% of 25% equal to ?
(A). 6.25
(B). .625
(C). .0625
(D). .00625
Right Answer: C
84. 45% of ? + 30 % of 90 = 30 % of 210.
(A). 120
(B). 80
(C). 60
(D). 90
Right Answer: B
85. one fourth of one third of two fifth of a number is 15. what will be 40% of that number?
(A). 120
(B). 350
(C). 270
(D). 180
Right Answer: D
86. if 37 % of a number is 990.86, what will be approximately 19 % of that number?
(A). 600
(B). 400
(C). 500
(D). 700
Right Answer: C
87. if 15 % of 40 is greater than 25 % of a number by 2, the number is :
(A). 16
(B). 20
(C). 24
(D). 32
Right Answer: A
88. what percent of 7.2 kg is 18 gms?
(A). 25%
(B). 2.5%
(C). .25%
(D). .025%
Right Answer: C
89. if 40% of 40% of x = 40, then x is :
(A). 100
(B). 400
(C). 250
(D). 1000
Right Answer: C
90. by how much percent is four-fifth of 70 lesser than five-seventh of 112 ?
(A). 42%
(B). 30%
(C). 24%
(D). 36%
Right Answer: B
91. what will be 160% of a number whose 200% is 140 ?
(A). 200
(B). 160
(C). 140
(D). 112
Right Answer: D
92. if 75% of a number is added to 75, the result is the number itself. then, the number is
(A). 400
(B). 300
(C). 60
(D). 50
Right Answer: B
93. subtracting 40% of a number from the number, we get the result as 30. the number is
(A). 28
(B). 50
(C). 52
(D). 70
Right Answer: B
94. if three fifth of a number is 40 more than 40% of the same number. what is the number?
(A). 100
(B). 150
(C). 200
(D). 400
Right Answer: C
95. a number, on subtracting 15 from it, reduces to its 80%. what is 40% of that number?
(A). 60
(B). 45
(C). 30
(D). 90
Right Answer: C
96. the population of a town has increased from 133575 to 138918. the percent increase in population is
(A). 2.5
(B). 3
(C). 3.5
(D). 4
Right Answer: D
97. if X is 90 % of Y, what percent of X is Y?
(A). 101.1
(B). 190
(C). 90
(D). 111.1
Right Answer: D
98. if x% of y is the same as
of 80, then the value of xy is :
(A). 320
(B). 400
(C). 640
(D). none
Right Answer: D
99. the number which when decreased by 27
% gives 87, is :
(A). 120
(B). 110
(C). 135
(D). 58
Right Answer: A
100. 40 quintals is what percent of 2 metric tonnes?
(A). 20%
(B). 2%
(C). 200%
(D). 150%
(A). 40
(B). 48
(C). 56
(D). 74
Right Answer: B
112. Two dice are rolled. How many different combinations of numbers can come up? Hint: If the first die shows one dot, there are six possible number-pairs which could result.
(A). 12
(B). 24
(C). 36
(D). 48
Right Answer: C
113. The surface of a swimming pool is rectangular in shape and measures 12 metre by 20 metre. A concrete walk 2 metre wide is to be built around the surface of the pool. What will be the surface area of the walk?
(A). 144m2
(B). 240m2
(C). 384m2
(D). 112m2
Right Answer: A
114. John bowls 3 games and has an average score of 85. If he bowled the same score in his first two games and bowled a score of 95 in his third game. What score did he bowl in either of his first two games?
(A). 80
(B). 85
(C). 90
(D). 95
Right Answer: A
115. The squares on a mat are arranged in the following order color pattern; blue, green, red, yellow, brown, purple. If the mat has 64 squares, what is the greatest number of blue squares the mat will have?
(A). 8
(B). 11
(C). 32
(D). 64
Right Answer: B
116. The students in a school are having a cup stacking contest. John has a pyramid 9 layers high. How many cups will he need to add to his pyramid to increase the number of layers to 12?
(A). 11
(B). 24
(C). 33
(D). 48
Right Answer: C
117. January 31st was on a Tuesday; it was the 27th consecutive day in which it did not rain. What day of the week was it when it last rained?
(A). Monday
(B). Tuesday
(C). Wednesday
(D). Thursday
Right Answer: C
118. Tan and Emelyn are waiting in line to get on the school bus. Tan is seventh in line. Emelyn is in the middle of the line. There are six students between Tan and Emelyn. How many students are waiting in line?
(A). 12
(B). 18
(C). 25
(D). 27
Right Answer: D
119. A Rubix cube has six faces with 16 colored squares per face. If each colored square has 2 cm sides, what is the surface area of the Rubix cube?
(A). 78cm2
(B). 96cm2
(C). 192cm2
(D). 384cm2
Right Answer: D
120. At the National Day parade, the local scout troop found that they could arrange themselves in rows of exactly 3, exactly 4, or exactly 5, with no one left over. What is the least number of scouts in the troop?
(A). 36
(B). 60
(C). 100
(D). 120
(A). 2
(B). 3
(C). 4
(D). 5
Right Answer: B
122. Find the value of
(A). 1/2
(B). 2/5
(C). 3/5
(D). 4/5
(A). 16cm2
(B). 20cm2
(C). 26cm2
(D). 30cm2
Right Answer: A
124. Judy and Tim each has a sum of money. Judy’s amount is 3/5 that of Tim’s. If Tim were to give Judy $168, then his remaining amount will be 7/9 that of Judy’s. How much does Judy have originally?
(A). 242
(B). 336
(C). 175
(D). 672
Right Answer: B
125. How long, in hours, after 12 noon, will it take for the hour hand of a clock to lie directly over its minute hand for the first time?
(A). 12/11 hours
(B). 8 hours
(C). 8/11 hours
(D). 7/11 hours
Right Answer: A
126. The lengths of two rectangles are 11 m and 19 m respectively. Given that their total area is 321 m2, find the difference in their areas.
(A). 111
(B). 191
(C). 211
(D). 241
Right Answer: C
127. Find the value of 20042005 × 20052004 − 20042004 × 20052005 .
(A). 10000
(B). 15000
(C). 18000
(D). 19000
Right Answer: A
128. There are three classes A, B and(C)Class A has 2 more students than class(B)Class B has 1 more student than class(C)The product of the numbers of students in the three classes is 99360. How many students are there in class A?
(A). 24
(B). 36
(C). 48
(D). 62
Right Answer: C
129. Find the value of
(A). 3675
(B). 3805
(C). 4095
(D). 4255
Right Answer: C
130. One pan can fry 2 pieces of meat at one time. Every piece of meat needs two minutes to be cooked (one minute for each side). Using only one pan, find the least possible time required to cook 2000 pieces of meet.
(A). 500 minutes
(B). 1000 minutes
(C). 2000 minutes
(D). 4000 minutes
Right Answer: C
131. Lines AC and BD meet at point O. Given that OA = 40 cm, OB = 50 cm, OC = 60 cm and OD = 75 cm, find the ratio of the area of triangle AOD to the area of triangle BOC.
(A). 1:1
(B). 1:2
(C). 1:3
(D). 1:4
Right Answer: B
132. A bag contains identical sized balls of different colours : 10 red, 9 white, 7 yellow, 2 blue and 1 black. Without looking into the bag, Paul takes out the balls one by one from it. What is the least number of balls Paul must take out to ensure that at least 3 balls have the same colour?
(A). 9
(B). 10
(C). 11
(D). 12
Right Answer: A
133. Find the value of
(A). 10/3
(B). 11/5
(C). 7/3
(D). 5/3
Right Answer: D
134. If the base of a triangle is increased by 10% while its height decreased by 10%, find the area of the new triangle as a percentage of the original one.
(A). 80%
(B). 120%
(C). 87%
(D). 99%
Right Answer: A
135. A box of chocolate has gone missing from the refrigerator. The suspects have been reduced to 4 children. Only one of them is telling the truth.
(A). 'I did not take the chocolate.'
A
(B). 'A is lying.'
B
(C). 'B is lying.'
D
(D). 'B took the chocolate.'
Who took the chocolate ?D
Right Answer: B
136. How many digits are there before the hundredth 9 in the following number
9797797779777797777797777779…….?
(A). 4059
(B). 5049
(C). 5273
(D). 5534
Right Answer: B
137. A particular month has 5 Tuesdays. The first and the last day of the month are not Tuesday. What day is the last day of the month?
(A). Sunday
(B). Monday
(C). Wednesday
(D). Thursday
Right Answer: C
138. How many rectangles are there in the diagram?
(A). 26
(B). 28
(C). 30
(D). 32
Right Answer: C
139. A piece of pasture grows at a constant rate everyday. 200 sheep will eat up the grass in 100 days. 150 sheep will eat up the grass in 150 days. How many days does it take for 100 sheep to eat up the grass?
(A). 300 days
(B). 320 days
(C). 340 days
(D). 360 days
Right Answer: A
140. The digits 3, 4, 5 and 7 can form twenty four different four digit numbers. Find the average of these twenty four numbers.
(A). 5867.75
(B). 4537.50
(C). 3548.35
(D). 5277.25
Right Answer: D
141. Let ABCD be a square with each side of length 1 unit. If M is the intersection of its diagonals and P is the midpoint of MB, what is the square of the length of AP?
(A). 3/4
(B). 5/8
(C). 1/2
(D). 3/8
Right Answer: B
142. There are buses travelling to and fro between Station A and Station(B)The buses leave the stations at regular interval and a bus will meet another bus coming in the opposite direction every 6 minutes. Peter starts cycling from A towards B at the same time Jane starts cycling from B towards(A)Peter and Jane will meet a bus coming in the opposite direction every 7 and 8 minutes respectively. After 56 minutes of cycling on the road, they meet each other. Find the time taken by a bus to travel from A to(B)
(A). 32 minutes
(B). 46 minutes
(C). 68 minutes
(D). 84 minutes
Right Answer: C
143. Which number leaves a remainder of 1 when divided by 5 and also when divided by 7?
(A). 671
(B). 761
(C). 176
(D). 716
Right Answer: C
144. (2 x 1/100) + (3 x 1/1000) + (7 x 1/10,000) = ?
(A). 2.37
(B). 0.237
(C). 0.0237
(D). 0.00237
Right Answer: C
145. If the pattern of the first six letters in CIRCUSCIRCUS… continues, then the pattern’s 500th letter is?
(A). C
(B). I
(C). R
(D). S
Right Answer: B
146. The digits 1986 are written in order from largest to smallest. Next they’re written in order from smallest to largest. What number is halfway between these two numbers?
(A). 4535
(B). 5775
(C). 5865
(D). 6035
Right Answer: B
147. A circus clown buys balloons at $1.44 per dozen and sells the balloons for 20 cents each. What will be his profit on a day when he buys and sells 20 dozen balloons?
(A). $17.40
(B). $18.60
(C). $19.20
(D). $20.60
Right Answer: C
148. Today is Saturday, May 5, 2001. One year from today will be May 5, 2002. What day of the week will that be?
(A). Sunday
(B). Monday
(C). Tuesday
(D). Wednesday
Right Answer: A
149.
In the diagram, there is an equilateral triangle and a square. If the perimeter of the triangle is 24 m, find the area of the square.
(A). 25 m2
(B). 36 m2
(C). 49 m2
(D). 64 m2
Right Answer: C
150. Square ABCD has a perimeter of 8 cm. If a circle is inscribed in the square as shown, what is the area of the circle?
(A). 1.57 m2
(B). 3.14 m2
(C). 4.71 m2
(D). 6.28 m2
Right Answer: B
is equal to(A). 5/999
(B). 1001/999
(C). 1001/3
(D). none of these
Right Answer: C
2. the remainder obtained when 231 is divided by 5 is:
(A). 2
(B). 3
(C). 4
(D). 1
Right Answer: B
3. what least value must be assigned to * so that the number 451 * 603 is exactly divisible by 11?
(A). 2
(B). 5
(C). 8
(D). 7
Right Answer: C
4. there is one number which is formed by writing one digit 6 times (e.g111111,444444 etc.) such number is always divisible by :
(A). 7
(B). 11
(C). 13
(D). all of these
Right Answer: D
5. in a division sum, the divisor is 10 times the quotient and 5 times the remainder.if the remainder is 46,the dividend is :
(A). 4236
(B). 4306
(C). 4336
(D). 5336
Right Answer: D
6. an electronic device makes a beep after every 60 sec. another device makes a beep after every 62 sec. they beeped together at 10 a.m the time when they will next make a beep together at the earliest,is :
(A). 10.30 a.m
(B). 10:31 a.m
(C). 10.59 a.m
(D). 11 a.m
Right Answer: B
7. if 1.125*10k = 0.001125,then the value of k is :
(A). -4
(B). -3
(C). -2
(D). -1
Right Answer: B
8.
(A). 0.43
(B). 1.89
(C). 1.29
(D). 1.63
Right Answer: C
9. a third of vinod’s marks in mathematics exceeds a half of his marks in social studies by 30. if he got 240 marks in the two subjects together,how many marks did he get in social studies?
(A). 40
(B). 60
(C). 80
(D). none of these
Right Answer: D
10. a class starts at 10 a.m and lasts till 1.27 p.m. four periods are held during this interval. after every period, 5 minutes are given free to the students. the exact duration of each period is
(A). 42 minutes
(B). 48 minutes
(C). 51 minutes
(D). 53 minutes
Right Answer: B
11. a person gave RS 2500 to his eldest son,5/12 of the whole property to the second son and to the youngest as much as to the first and second son together. how much did the youngest son get?
(A). RS 10,000
(B). RS 15,000
(C). RS 20,000
(D). RS 25,000
Right Answer: B
12. in a family, the father took 1/4 of the cake and he had 3 times as much as others had. the total number of family member is:
(A). 3
(B). 7
(C). 10
(D). 12
Right Answer: C
13. a man distributed RS 100 equally among his friends. if there had been 5 more friends, each would have received one rupee less. how many friends had he ?
(A). 20
(B). 25
(C). 30
(D). 35
Right Answer: A
14. if =
2.449 then the value of 3 is :(A). 0.6122
(B). 1.223
(C). 1.2245
(D). 0.8163
Right Answer: C
15. The average of 5 consecutive numbers is n. if the next two numbers are also included,the average will
(A). increase by 1
(B). remain the same
(C). increase by 1.4
(D). increase by 2
Right Answer: A
16. the average age of a class is 15.8 years. the average age of boys in the class is 16.4 yrs while that of the girls is 15.4 years. what is the ratio of boys to girls in the class?
(A). 1:2
(B). 3:4
(C). 3:5
(D). none of these
Right Answer: D
17. sachin was twice as old as ajay 10 years back. how old is ajay today if sachin will be 40 years old 10 years hence?
(A). 20 years
(B). 10 years
(C). 30 years
(D). none of these.
Right Answer: A
18. choose the odd numeral pair/group in each of the following
(A). 12-144
(B). 13-156
(C). 15-180
(D). 16-176
Right Answer: D
19. how many terms are there in the series 201,208,215,……369?
(A). 23
(B). 24
(C). 25
(D). 26
Right Answer: C
20. if DELHI is coded as 73541 and CALCUTTA as 82589662, how can CALICUT be coded?
(A). 5279431
(B). 5978213
(C). 8251896
(D). 8543691
Right Answer: C
21. if in a certain language, 943 is coded as BED and 12448 is coded as SWEET, how is 492311 coded in that language?
(A). EDSWBS
(B). TSWBDD
(C). DSWTEE
(D). EBDSWE
(e) EBWDSS
Right Answer: D
22. If eraser is called box, box is called pencil, pencil is called sharpener and sharpener is called bag, what will a child write with?
(A). eraser
(B). box
(C). pencil
(D). sharpener
(e) bag
Right Answer: D
23. Deepak is brother of ravi.rekha is sister of atul. Ravi is son of rekha. How is Deepak related to rekha?
(A). son
(B). brother
(C). nephew
(D). father
Right Answer: A
24. in a certain office, 1/3 of the workers are women, 1/2 of the women are married and 1/3 of the married women have children. if 3/4 of the men are married and 2/3 of the married men have children, what part of workers are without children?
(A). 5/18
(B). 4/9
(C). 11/18
(D). 17/36
Right Answer: C
25. Reena is twice as old as sunita. Three years ago, she was three times as old as sunita. How old is reena now?
(A). 6 years
(B). 7 years
(C). 8 years
(D). 12 years
Right Answer: D
26. two trains start from ststions A and B and travels towards each other at speeds of 50 kmph and 60 kmph respectively. at the time of their meeting the second train has travelled 120 km more than the first. the distance between A and B is :
(A). 990 km
(B). 1200 km
(C). 1320 km
(D). 1440 km
Right Answer: C
27. A train covers a certain distance in 50 minutes, if it runs at a speed of 48 kmph on an average. the speed at which the train must run to reduce the time of journey to 40 minutes, will be :
(A). 50 km/hr
(B). 55 km/hr
(C). 60 km/hr
(D). 70 km/hr
Right Answer: C
28. two vessels A and B contain milk and water mixed in the ratio 4:3 and 2:3. in what ratio must these mixtures be mixed to form a new mixture containing half milk and half water?
(A). 7 : 5
(B). 1 : 2
(C). 2 : 1
(D). 6 : 5
Right Answer: A
29. If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a, then the gain of B ( in Rs .) in a period of 3 years is:
(A). 107.50
(B). 115.50
(C). 157.50
(D). 177.50
Right Answer: C
30. if a sum of money at simple interest doubles in 6 years, it will become 4 times in :
(A). 12 years
(B). 14 years
(C). 16 years
(D). 18 years
Right Answer: D
31. in how many years will a sum of money double itself at 12% per annum ?
(A). 6 years 9 months
(B). 7 years 6 months
(C). 8 years 3 months
(D). 8 years 4 months
Right Answer: D
32. at the rate of 6% p.a. simple interest , a sum of Rs. 2500 will earn how much interest by the end of 5 years?
(A). Rs 150
(B). Rs 700
(C). Rs 750
(D). Rs 3250
Right Answer: C
33. a person borrowed Rs. 500 at the rate of 5% per annum S.I. what amount will he pay to clear the debt after 4 years?
(A). Rs. 107.50
(B). Rs. 550
(C). Rs. 600
(D). Rs. 700
Right Answer: C
34. if log3 x = -2, then x is equal to :
(A). -9
(B). -6
(C). -8
(D). 1/9
Right Answer: D
35. in each side of a square is increased by 25%, its area is increased by :
(A). 25 %
(B). 50 %
(C). 40.5 %
(D). 56.25 %
Right Answer: D
36. the ratio between the length and breadth of a rectangular field is 5:4. if the breadth is 20m less than the length, the perimeter of the field is :
(A). 260 m
(B). 280 m
(C). 360 m
(D). none
Right Answer: C
37. the cost of carpeting a room 18m long with a carpet 75 cm wide at 45 paise per metre is Rs. 81. the breadth of the room is :
(A). 7 m
(B). 7.5 m
(C). 8 m
(D). 8.5 m
Right Answer: B
38. in a game of 100 points, A can give B 20 points and C 28 points. then, B can give C :
(A). 8 points
(B). 10 points
(C). 14 points
(D). 40 points
Right Answer: B
39. if the first day of the year 1991 was Tuesday, what day of the week must have been on 1 st January, 1998?
(A). Monday
(B). Tuesday
(C). Wednesday
(D). Thursday
Right Answer: D
40. today is Tuesday. after 62 days it will be :
(A). Wednesday
(B). Monday
(C). Thursday
(D). Sunday
Right Answer: B
41. find the wrong number in the series : 3, 8, 15, 24, 34, 48, 63
(A). 15
(B). 24
(C). 34
(D). 48
(e) 63
Right Answer: C
42. the year next to 1996 having the same calendar as that of 1996 is :
(A). 2003
(B). 2002
(C). 2001
(D). 2004
Right Answer: C
43. the material of a cone is converted in to the shape of a cylinder of equal radius. if the height of the cylinder is 6 cm, the height of the cone is :
(A). 2 cm
(B). 6 cm
(C). 18 cm
(D). 36 cm
Right Answer: C
44. the radius of a cylinder is the same as that of a sphere. their volumes are equal. the height of the cylinder is how many times its radius?
(A). 4/3
(B). 2/3
(C). 1
(D). 2
Right Answer: A
45. if the height of a cone is doubled, then its volume is increased by :
(A). 100%
(B). 200%
(C). 300%
(D). 400%
Right Answer: A
46. if the ratio of volumes of two sphere is 1:8, then the ratio of their surface area is :
(A). 1:2
(B). 1:4
(C). 1:8
(D). 1:16
Right Answer: B
47. if the surface areas of two spheres are in the ratio of 4:25, then the ratio of their volume is :
(A). 4:25
(B). 25:4
(C). 125:8
(D). 8:125
Right Answer: D
48. a cube of side 6 cm is cut in to a number of cubes , each of side 2 cm. the number of cubes will be :
(A). 6
(B). 9
(C). 12
(D). 27
Right Answer: D
49. the percentage increase in the surface area of a cube when each side is doubled is :
(A). 25%
(B). 50%
(C). 150%
(D). 300%
Right Answer: D
50. three cubes of iron whose edges are 6 cm, 8cm, and 10cm respectively are melted and formed in to a single cube. the edge of the new cube formed is :
(A). 12 cm
(B). 14 cm
(C). 16 cm
(D). 18 cm
Right Answer: A
51. the C.P. of an article is 40% of the S.P. the percent that the S.P. is of C.P. is :
(A). 250
(B). 240
(C). 60
(D). 40
Right Answer: A
52. a reduction of 25% in the price of eggs will enable one to buy 4 dozen more eggs for RS. 96. what is the price per dozen?
(A). RS 6
(B). RS 8
(C). RS 8.50
(D). RS 9
Right Answer: B
53. An article when sold at a gain of 5% yield RS 15 more than when sold at a loss of 5%. what is the C.P.?
(A). RS 64
(B). RS 80
(C). RS 150
(D). RS 200
Right Answer: C
54. monika purchased a pressure cooker at 9/10 th of its selling price and sold it at 8% more than its S.P. Her gain is
(A). 20%
(B). 18%
(C). 10%
(D). 8%
Right Answer: A
55. an article is sold at a certain price. buy selling it at 2/3 of that price one loses 10% . the gain percent at original price is :
(A). 20%
(B). 33 1/3 %
(C). 35%
(D). 40%
Right Answer: C
56. a grain dealer cheats to the extent of 10 % while buying as well as selling, by using false weights. his total gain is:
(A). 10 %
(B). 20 %
(C). 22
% (D). 21 %
Right Answer: D
57. toffees are bought at the rate of 3 for a rupee. to gain 50%, they must be sold at:
(A). 2 for a rupee
(B). 1 for a rupee
(C). 4 for a rupee
(D). 5 for a rupee
Right Answer: A
58. by selling 45 lemons for RS 40, a man loses 20 % how many should he sell for RS 24 to gain 20 % in the transaction?
(A). 16
(B). 18
(C). 20
(D). 22
Right Answer: B
59. A sells a bicycle to B at a profit of 20 % and B sells it to C at a profit of 25% . if C pays RS 1500 , what did A pay for it ?
(A). RS 825
(B). RS 1000
(C). RS 1100
(D). RS 1125
Right Answer: B
60. anil bought a T.V. with 20% discount on the labelled price. had he bought it with 25% discount, he would have saved RS 500. at what price did he buy the T.V.?
(A). RS 16000
(B). RS 12000
(C). RS 10000
(D). RS 5000
Right Answer: C
61. A retailer buys a sewing machine at a discount of 15% and sells it for Rs 1955. thus, he makes a profit of 15%. the discount is :
(A). Rs 300
(B). Rs 290
(C). Rs 275
(D). Rs 270
Right Answer: A
62. a discount of 30% on the marked price of a toy reduces its S.P. by Rs 30. What is the new S.P. ?
(A). Rs 130
(B). Rs 100
(C). Rs 70
(D). Rs 21
Right Answer: C
63. two buses travel to a place at 45 kmph and 60 kmph respectively. if the second bus takes 5 ½ hours less than the first for the same journey, the length of journey is :
(A). 900 km
(B). 945 km
(C). 990 km
(D). 1350 km
Right Answer: C
64. ramesh covers two-third of a certain distance at 4 kmph and the remaining at 5 kmph. if he takes 42 minutes in all, the distance is :
(A). 2.5 km
(B). 3 km
(C). 4 km
(D). 4.6 km
Right Answer: B
65. a train moves with a speed of 108 kmph. its speed in metres per second is:
(A). 38.8
(B). 18
(C). 30
(D). 10.8
Right Answer: C
66. a speed of 14 metres per second is the same as :
(A). 50.4 km/hr
(B). 28 km/hr
(C). 70 km/hr
(D). 46.6 km/hr
Right Answer: A
67. a man on riding crosses a bridge in 5 minutes when riding is being done at 15 kmph. the length of the bridge is :
(A). 125 m
(B). 250 m
(C). 1250 m
(D). 2500 m
Right Answer: C
68. if a man can swim downstream at 6 kmph and upstream at 2kmph, his speed in still water is :
(A). 4 km/hr
(B). 2 km/hr
(C). 3 km/hr
(D). 2.5 km/hr
Right Answer: A
69. a man can row upstream at 8 kmph and downstream at 13 kmph. the speed of the stream is :
(A). 5 km/hr
(B). 2.5 km/hr
(C). 10.5 km/hr
(D). 4.2 km/hr
Right Answer: B
70. if anshul rows 15 km upstream and 21 km down stream taking 3 hours each time, then the speed of the sream is :
(A). 1 km/hr
(B). 1.5km/hr
(C). 2 km/hr
(D). 12 km/hr
Right Answer: A
71. the sum of the squares of two numbers is 3341 and the difference of their squares is 891. the numbers are :
(A). 25,46
(B). 35,46
(C). 25,36
(D). none of these
Right Answer: B
72. the sum of two numbers is 15 and the sum of their squares is 113. the numbers are :
(A). 4,11
(B). 5,10
(C). 6,9
(D). 7,8
Right Answer: D
73. the product of two numbers is 120 and the sum of their squares is 289. the sum of the number is :
(A). 20
(B). 23
(C). 169
(D). none of these
Right Answer: B
74. two different natural numbers are such that their products is less than their sum. one of the numbers must be:
(A). 1
(B). 2
(C). 3
(D). none of these
Right Answer: A
75. the difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. the numbers are :
(A). 600,400
(B). 640,360
(C). 628,372
(D). none of these.
Right Answer: C
76. One-fourth of one-third of two-fifth of a number is 15. what will be 40% of that number?
(A). 120
(B). 180
(C). 270
(D). 350
Right Answer: B
77. three-fourth of a number exceeds its one-third by 60. the number is :
(A). 108
(B). 144
(C). 270
(D). 350
Right Answer: B
78. the number which when added to 10 times itself gives 264, is :
(A). 20
(B). 22
(C). 24
(D). 26
Right Answer: C
79. a number when divided by 4 is reduced by 21. the number is :
(A). 18
(B). 20
(C). 28
(D). 38
Right Answer: C
80. four-fifth of a certain number is 64. half of that number is :
(A). 16
(B). 32
(C). 40
(D). 80
Right Answer: C
81. a number exceeds 20% of itself by 40. the number is:
(A). 50
(B). 60
(C). 80
(D). 320
Right Answer: A
82. if 16% of 40% of a number is 8, the number is :
(A). 320
(B). 225
(C). 200
(D). 125
Right Answer: D
83. what is 25% of 25% equal to ?
(A). 6.25
(B). .625
(C). .0625
(D). .00625
Right Answer: C
84. 45% of ? + 30 % of 90 = 30 % of 210.
(A). 120
(B). 80
(C). 60
(D). 90
Right Answer: B
85. one fourth of one third of two fifth of a number is 15. what will be 40% of that number?
(A). 120
(B). 350
(C). 270
(D). 180
Right Answer: D
86. if 37 % of a number is 990.86, what will be approximately 19 % of that number?
(A). 600
(B). 400
(C). 500
(D). 700
Right Answer: C
87. if 15 % of 40 is greater than 25 % of a number by 2, the number is :
(A). 16
(B). 20
(C). 24
(D). 32
Right Answer: A
88. what percent of 7.2 kg is 18 gms?
(A). 25%
(B). 2.5%
(C). .25%
(D). .025%
Right Answer: C
89. if 40% of 40% of x = 40, then x is :
(A). 100
(B). 400
(C). 250
(D). 1000
Right Answer: C
90. by how much percent is four-fifth of 70 lesser than five-seventh of 112 ?
(A). 42%
(B). 30%
(C). 24%
(D). 36%
Right Answer: B
91. what will be 160% of a number whose 200% is 140 ?
(A). 200
(B). 160
(C). 140
(D). 112
Right Answer: D
92. if 75% of a number is added to 75, the result is the number itself. then, the number is
(A). 400
(B). 300
(C). 60
(D). 50
Right Answer: B
93. subtracting 40% of a number from the number, we get the result as 30. the number is
(A). 28
(B). 50
(C). 52
(D). 70
Right Answer: B
94. if three fifth of a number is 40 more than 40% of the same number. what is the number?
(A). 100
(B). 150
(C). 200
(D). 400
Right Answer: C
95. a number, on subtracting 15 from it, reduces to its 80%. what is 40% of that number?
(A). 60
(B). 45
(C). 30
(D). 90
Right Answer: C
96. the population of a town has increased from 133575 to 138918. the percent increase in population is
(A). 2.5
(B). 3
(C). 3.5
(D). 4
Right Answer: D
97. if X is 90 % of Y, what percent of X is Y?
(A). 101.1
(B). 190
(C). 90
(D). 111.1
Right Answer: D
98. if x% of y is the same as
of 80, then the value of xy is :(A). 320
(B). 400
(C). 640
(D). none
Right Answer: D
99. the number which when decreased by 27
% gives 87, is :(A). 120
(B). 110
(C). 135
(D). 58
Right Answer: A
100. 40 quintals is what percent of 2 metric tonnes?
(A). 20%
(B). 2%
(C). 200%
(D). 150%
Right Answer: C
101. If A2 – A + I = 0, then the inverse of A is
(A). A + I
(B). A
(C). A – I
(D). I – A
Right Answer: D
102. Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12} be a relation on the set A = {3, 6, 9, 12}. The relation is
(A). reflexive and transitive only
(B). reflexive only
(C). an equivalence relation
(D). reflexive and symmetric only
Right Answer: A
103. If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
(A). 22.0
(B). 20.5
(C). 25.5
(D). 24.0
Right Answer: D
104. Let P be the point (1, 0) and Q a point on the locus y2 = 8x. The locus of mid point of PQ is
(A). y2 – 4x + 2 = 0
(B). y2 + 4x + 2 = 0
(C). x2 + 4y + 2 = 0
(D). x2 – 4y + 2 = 0
Here 2 is read as square
Right Answer: A
105. The system of equations
αx + y + z = α - 1,
x + αy + z = α - 1,
x + y + αz = α - 1
has no solution, if α is
(A). -2
(B). either – 2 or 1
(C). not -2
(D). 1
Right Answer: A
106. The value of α for which the sum of the squares of the roots of the equation
x2 – (a – 2)x – a – 1 = 0 assume the least value is
(A). 1
(B). 0
(C). 3
(D). 2
Right Answer: A
107. If roots of the equation x2 – bx + c = 0 be two consectutive integers, then b2 – 4c equals
(A). – 2
(B). 3
(C). 2
(D). 1
Right Answer: D
108. If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number
(A). 601
(B). 600
(C). 603
(D). 602
Right Answer: A
109. Let f be differentiable for all x. If f(1) = - 2 and f′(x) ≥ 2 for x ∈ [1, 6] , then
(A). f(6) ≥ 8
(B). f(6) < size="2">
(C).
(D).
Right Answer: A
110. If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sin A, sin B, sin C are in
(A). G.P.
(B). A.P.
(C). Arithmetic − Geometric Progression
(D). H.P.
Right Answer: B
111. 
What is the area, in square meters, of the shaded part of the rectangle?
(A). 40
(B). 48
(C). 56
(D). 74
Right Answer: B
112. Two dice are rolled. How many different combinations of numbers can come up? Hint: If the first die shows one dot, there are six possible number-pairs which could result.
(A). 12
(B). 24
(C). 36
(D). 48
Right Answer: C
113. The surface of a swimming pool is rectangular in shape and measures 12 metre by 20 metre. A concrete walk 2 metre wide is to be built around the surface of the pool. What will be the surface area of the walk?
(A). 144m2
(B). 240m2
(C). 384m2
(D). 112m2
Right Answer: A
114. John bowls 3 games and has an average score of 85. If he bowled the same score in his first two games and bowled a score of 95 in his third game. What score did he bowl in either of his first two games?
(A). 80
(B). 85
(C). 90
(D). 95
Right Answer: A
115. The squares on a mat are arranged in the following order color pattern; blue, green, red, yellow, brown, purple. If the mat has 64 squares, what is the greatest number of blue squares the mat will have?
(A). 8
(B). 11
(C). 32
(D). 64
Right Answer: B
116. The students in a school are having a cup stacking contest. John has a pyramid 9 layers high. How many cups will he need to add to his pyramid to increase the number of layers to 12?
(A). 11
(B). 24
(C). 33
(D). 48
Right Answer: C
117. January 31st was on a Tuesday; it was the 27th consecutive day in which it did not rain. What day of the week was it when it last rained?
(A). Monday
(B). Tuesday
(C). Wednesday
(D). Thursday
Right Answer: C
118. Tan and Emelyn are waiting in line to get on the school bus. Tan is seventh in line. Emelyn is in the middle of the line. There are six students between Tan and Emelyn. How many students are waiting in line?
(A). 12
(B). 18
(C). 25
(D). 27
Right Answer: D
119. A Rubix cube has six faces with 16 colored squares per face. If each colored square has 2 cm sides, what is the surface area of the Rubix cube?
(A). 78cm2
(B). 96cm2
(C). 192cm2
(D). 384cm2
Right Answer: D
120. At the National Day parade, the local scout troop found that they could arrange themselves in rows of exactly 3, exactly 4, or exactly 5, with no one left over. What is the least number of scouts in the troop?
(A). 36
(B). 60
(C). 100
(D). 120
Right Answer: B
121. The diagram shows a dartboard. What is the least number of throws needed in order to get a score of exactly 100?
.
(A). 2
(B). 3
(C). 4
(D). 5
Right Answer: B
122. Find the value of
(A). 1/2
(B). 2/5
(C). 3/5
(D). 4/5
Right Answer: C
123. Two squares, with lengths 4 cm and 6 cm respectively, are partially overlapped as shown in the diagram above. What is the difference between shaded area of the small square and shaded area of the big square?
(A). 16cm2
(B). 20cm2
(C). 26cm2
(D). 30cm2
Right Answer: A
124. Judy and Tim each has a sum of money. Judy’s amount is 3/5 that of Tim’s. If Tim were to give Judy $168, then his remaining amount will be 7/9 that of Judy’s. How much does Judy have originally?
(A). 242
(B). 336
(C). 175
(D). 672
Right Answer: B
125. How long, in hours, after 12 noon, will it take for the hour hand of a clock to lie directly over its minute hand for the first time?
(A). 12/11 hours
(B). 8 hours
(C). 8/11 hours
(D). 7/11 hours
Right Answer: A
126. The lengths of two rectangles are 11 m and 19 m respectively. Given that their total area is 321 m2, find the difference in their areas.
(A). 111
(B). 191
(C). 211
(D). 241
Right Answer: C
127. Find the value of 20042005 × 20052004 − 20042004 × 20052005 .
(A). 10000
(B). 15000
(C). 18000
(D). 19000
Right Answer: A
128. There are three classes A, B and(C)Class A has 2 more students than class(B)Class B has 1 more student than class(C)The product of the numbers of students in the three classes is 99360. How many students are there in class A?
(A). 24
(B). 36
(C). 48
(D). 62
Right Answer: C
129. Find the value of
(A). 3675
(B). 3805
(C). 4095
(D). 4255
Right Answer: C
130. One pan can fry 2 pieces of meat at one time. Every piece of meat needs two minutes to be cooked (one minute for each side). Using only one pan, find the least possible time required to cook 2000 pieces of meet.
(A). 500 minutes
(B). 1000 minutes
(C). 2000 minutes
(D). 4000 minutes
Right Answer: C
131. Lines AC and BD meet at point O. Given that OA = 40 cm, OB = 50 cm, OC = 60 cm and OD = 75 cm, find the ratio of the area of triangle AOD to the area of triangle BOC.
(A). 1:1
(B). 1:2
(C). 1:3
(D). 1:4
Right Answer: B
132. A bag contains identical sized balls of different colours : 10 red, 9 white, 7 yellow, 2 blue and 1 black. Without looking into the bag, Paul takes out the balls one by one from it. What is the least number of balls Paul must take out to ensure that at least 3 balls have the same colour?
(A). 9
(B). 10
(C). 11
(D). 12
Right Answer: A
133. Find the value of
(A). 10/3
(B). 11/5
(C). 7/3
(D). 5/3
Right Answer: D
134. If the base of a triangle is increased by 10% while its height decreased by 10%, find the area of the new triangle as a percentage of the original one.
(A). 80%
(B). 120%
(C). 87%
(D). 99%
Right Answer: A
135. A box of chocolate has gone missing from the refrigerator. The suspects have been reduced to 4 children. Only one of them is telling the truth.
(A). 'I did not take the chocolate.'
A
(B). 'A is lying.'
B
(C). 'B is lying.'
D
(D). 'B took the chocolate.'
Who took the chocolate ?D
Right Answer: B
136. How many digits are there before the hundredth 9 in the following number
9797797779777797777797777779…….?
(A). 4059
(B). 5049
(C). 5273
(D). 5534
Right Answer: B
137. A particular month has 5 Tuesdays. The first and the last day of the month are not Tuesday. What day is the last day of the month?
(A). Sunday
(B). Monday
(C). Wednesday
(D). Thursday
Right Answer: C
138. How many rectangles are there in the diagram?
(A). 26
(B). 28
(C). 30
(D). 32
Right Answer: C
139. A piece of pasture grows at a constant rate everyday. 200 sheep will eat up the grass in 100 days. 150 sheep will eat up the grass in 150 days. How many days does it take for 100 sheep to eat up the grass?
(A). 300 days
(B). 320 days
(C). 340 days
(D). 360 days
Right Answer: A
140. The digits 3, 4, 5 and 7 can form twenty four different four digit numbers. Find the average of these twenty four numbers.
(A). 5867.75
(B). 4537.50
(C). 3548.35
(D). 5277.25
Right Answer: D
141. Let ABCD be a square with each side of length 1 unit. If M is the intersection of its diagonals and P is the midpoint of MB, what is the square of the length of AP?
(A). 3/4
(B). 5/8
(C). 1/2
(D). 3/8
Right Answer: B
142. There are buses travelling to and fro between Station A and Station(B)The buses leave the stations at regular interval and a bus will meet another bus coming in the opposite direction every 6 minutes. Peter starts cycling from A towards B at the same time Jane starts cycling from B towards(A)Peter and Jane will meet a bus coming in the opposite direction every 7 and 8 minutes respectively. After 56 minutes of cycling on the road, they meet each other. Find the time taken by a bus to travel from A to(B)
(A). 32 minutes
(B). 46 minutes
(C). 68 minutes
(D). 84 minutes
Right Answer: C
143. Which number leaves a remainder of 1 when divided by 5 and also when divided by 7?
(A). 671
(B). 761
(C). 176
(D). 716
Right Answer: C
144. (2 x 1/100) + (3 x 1/1000) + (7 x 1/10,000) = ?
(A). 2.37
(B). 0.237
(C). 0.0237
(D). 0.00237
Right Answer: C
145. If the pattern of the first six letters in CIRCUSCIRCUS… continues, then the pattern’s 500th letter is?
(A). C
(B). I
(C). R
(D). S
Right Answer: B
146. The digits 1986 are written in order from largest to smallest. Next they’re written in order from smallest to largest. What number is halfway between these two numbers?
(A). 4535
(B). 5775
(C). 5865
(D). 6035
Right Answer: B
147. A circus clown buys balloons at $1.44 per dozen and sells the balloons for 20 cents each. What will be his profit on a day when he buys and sells 20 dozen balloons?
(A). $17.40
(B). $18.60
(C). $19.20
(D). $20.60
Right Answer: C
148. Today is Saturday, May 5, 2001. One year from today will be May 5, 2002. What day of the week will that be?
(A). Sunday
(B). Monday
(C). Tuesday
(D). Wednesday
Right Answer: A
149.
In the diagram, there is an equilateral triangle and a square. If the perimeter of the triangle is 24 m, find the area of the square.
(A). 25 m2
(B). 36 m2
(C). 49 m2
(D). 64 m2
Right Answer: C
150. Square ABCD has a perimeter of 8 cm. If a circle is inscribed in the square as shown, what is the area of the circle?
(A). 1.57 m2
(B). 3.14 m2
(C). 4.71 m2
(D). 6.28 m2
Right Answer: B
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