Contents
MVI – (NT) – Prelim Question Paper – 2020
76. Rs.820 is divided among A, B, C so that A : B = 3 : 4 and B : C = 3 : 5. Then B gets
(A) Rs.90
(B) Rs.120
(C) Rs.200
(D) Rs.240
77. Out of 745 students, maximum are to be arranged in such a way that the number of rows is equal to the number of columns. If 16 students were left out after the arrangement, the number of rows is
(A) 27
(B) 29
(C) 31
(D) 37
78. Which of the following statements is correct?
(A) √2 is a rational number
(B) Sum of 2 irrational numbers is always irrational
(C) Sum of 2 rational numbers is always rational
(D) √49 is an irrational number
79. The least number which leaves no remainder when divided by 36, 48 and 112 is
(A) 524
(B) 1008
(C) 756
(D) 224
80. The ratio of the present ages of a father to that of his son is 7 : 2. After 5 years, the ratio of their ages will be 8 : 3. The present age of the son is
(A) 10 years
(B) 35 years
(C) 5 years
(D) 15 years
81. 2 two digit numbers consisting of the same 2 digits are in the ratio 4 : 7. One such pair of number is
(A) 40, 70
(B) 16, 61
(C) 20, 35
(D) 12, 21
82. Aman went on a tour and spent as many rupees each day as the total number of days in the tour. His total expense was Rs.1296. The duration of his tour was
(A) 74 days
(B) 36 days
(C) 24 days
(D) Insufficient information
83. The length of the sides of two square sheets are 12 cm and 9 cm. The ratio of their areas will be
(A) 4 : 3
(B) 16 : 3
(C) 4 : 9
(D) 16 : 9
84. When sold at Rs.90, loss incurred on a toy is 25%. The price at which it is to be sold to gain 10% is
(A) Rs.99
(B) Rs.110
(C) Rs.120
(D) Rs.132
85. A certain sum amounts to Rs.14,400 at 4% p.a. simple interest in 5 years. The principal is
(A) Rs.14,000
(B) Rs.13,600
(C) Rs.12,000
(D) Rs.9,000
86. The time in which Rs.9,000 amounts to Rs.12,150 at 7% p.a. simple interest is
(A) 5 years
(B) 7 years
(C) 9 years
(D) 12 years
87. A and B can do a work in 8 days, B and C can do the same work in 12 days, C and A can do the work in 16 days. If they all work together, the work can be done in
(A) 12 days
(B) 10¹⁰ᐟ₁₇ days
(C) 7½ days
(D) 7⁵ᐟ₁₃ days
88. The least number that should be subtracted from 12773 to make it a perfect square is
(A) 1
(B) 2
(C) 3
(D) 4
89. The product of 2 numbers is 20736 and their HCF is 24. Then the LCM of the numbers is
(A) 864
(B) 1008
(C) 1249
(D) 2104
90. The greatest number which leaves the same remainder when it divides 590, 908 and 1014 is
(A) 2
(B) 14
(C) 52
(D) 106
91. Find the odd one out.
(A) √8
(B) √16
(C) √32
(D) √128
92. If 770 is divided into 4 parts proportional to 2 : 3 : 4 : 5, then the smallest and largest parts will be
(A) 110, 165
(B) 110, 275
(C) 165, 220
(D) 220, 275
93. A hostel had provision for 75 students for 30 days. After 6 days, 15 more students joined the hostel. The remaining provisions will last for
(A) 24 days
(B) 36 days
(C) 90 days
(D) 20 days
94. Time taken by a train 150m long, moving at a speed of 36 kmph, to pass a lamp post is
(A) 36 seconds
(B) 15 seconds
(C) 15 minutes
(D) 36 minutes
95. 8 men or 15 boys earn Rs.12,000 in 30 days. In 5 days, how much money will 20 men and 24 boys earn?
(A) Rs.19,200
(B) Rs.30,000
(C) Rs.49,200
(D) Rs.8,200
96. By selling 320 articles at the cost price of 400 articles, the percentage of profit is
(A) 80%
(B) 40%
(C) 25%
(D) 20%
97. 3 men and 4 boys complete a work in 28 days, whereas 4 men and 6 boys complete the same work in 20 days. The number of days required by 7 men and 6 boys to complete the same work is
(A) 280 days
(B) 56 days
(C) 28 days
(D) 14 days
98. A man sold 2 books at Rs.1248 each. On one he gained 4% and on the other he lost 4%. The total loss or gain –
(A) Gain Rs.4
(B) no gain, no loss
(C) Loss Rs.4
(D) Loss of 4%
99. The rational number whose numerator is the largest 2 digit number and denominator the smallest 4 digit number is
(A) ⁹⁹⁹⁹ᐟ₁₀
(B) ¹⁰⁰⁰ᐟ₉₉
(C) ⁹⁹ᐟ₁₀
(D) ⁹⁹ᐟ₁₀₀₀
100.
(A) 2(√15/3)
(B) 3(⁵ᐟ₁₁)
(C) 7
(D) 8(√7/3)
MVI – (NT) – Prelim Question Paper – 2019
51. Find the least number which added to 153.140024 will make it a perfect square.
(A) 0.000601
(B) 0.00601
(C) 0.0601
(D) 0.0000601
52. What least number must be subtracted from 0.000328 to make the remainder a perfect square?
(A) 0.0004
(B) 0.00004
(C) 0.000004
(D) 0.004
53. Find the number whose square is equal to the sum of the squares of 0.03 and 0.04.
(A) 0.005
(B) 0.05
(C) 0.0005
(D) 0.00005
54. What least number must be subtracted from 0.1528 to make the remainder a perfect square?
(A) 0.007
(B) 0.07
(C) 0.0007
(D) 0.7
55. What number multiplied by itself gives 109⁶²⁸/₇₂₉ ?
(A) ²⁸³/₂₇
(B) ²⁸⁵/₂₉
(C) ¹⁸³/₂₇
(D) ³⁸³/₂₉
56. What number multiplied by itself gives 233³²/₄₉?
(A) ¹⁰⁷/₇
(B) ¹⁰⁹/₇
(C) ¹¹⁰/₇
(D) ¹¹⁷/₇
57. By what number the square root of ⁴⁹/₂₈₉ be multiplied, so that the product is unity?
(A) ¹⁹/₅
(B) ¹⁷/₇
(C) ²⁷/₇
(D) ³⁷/₅
58. By what number the square root of ³²⁴/₁₂₁ be multiplied , so that the product is 3?
(A) ¹¹/₅
(B) ¹³/₆
(C) ¹¹/₆
(D) ¹³/₇
59. In 16 men working 6 hours a day can do a piece of work in 10 days, in how many days can 10 men working 8 hours a day do it?
(A) 12 days
(B) 9 days
(C) 10 days
(D) 8 days
60. A does thrice as much work as B in a day. If B does a piece of work in 12 days, in how many days will they together do it?
(A) 2 days
(B) 3 days
(C) 4 days
(D) 5 days
(D) 9 days
61. 16 men can do a piece of work in 20 days. How many men can do it in ⅖ths of the time?
(A) 35 men
(B) 30 men
(C) 40 men
(D) 45 men
62. 7 men and 7 boys can do a work in 2 days. How much time will 1 man and 1 boy take to do it?
(A) 12 days
(B) 13 days
(C) 14 days
(D) 16 days
63. A train 25 metres long, runs at the rate of 30 km an hour. In what time will it pass a telegraph post?
(A) 4 secs.
(B) 5 secs.
(C) 3 secs.
(D) 6 secs.
64. A train running 48 km. per hour passes a platform, 250 metres long, in 30 seconds. Find the length of the train.
(A) 150 m
(B) 160 m
(C) 140 m
(D) 145 m
65. A train passes a pole in 15 seconds and passes a platform 100 m long in 25 seconds. Find its length.
(A) 140 m
(B) 145 m
(C) 150 m
(D) 160 m
66. Divide 750 into 3 parts in the ratio of 4 : 5 : 6.
(A) 150, 250, 300
(B) 100, 200, 300
(C) 50, 100, 150
(D) 200, 250, 300
67. The sum of the ages of 3 men is 150 years. 10 years ago their ages were 7 : 8 : 9. Find their present ages.
(A) 45, 50, 55 years.
(B) 40, 45, 50 years.
(C) 50, 55, 60 years.
(D) 35, 40, 45 years
68. The ratio of the age of Ram to that of Hari is 3 : 4, the ratio of the age of Hari to that of Jadu is 12 : 13. Find the ratio of the ages of Ram and Jadu.
(A) 7 : 11
(B) 7 : 9
(C) 9 : 13
(D) 7 : 13
69. The ratio of two numbers if 3 : 4 and their HCF is 4. Find the numbers and their LCM.
(A) 12, 16, 18
(B) 10, 12, 14
(C) 12, 14, 16
(D) 14, 16, 18
70. The ratio of the cost price and the sales of an article is 20 : 21. The percentage of profit is
(A) 3⅓%
(B) 10%
(C) 11%
(D) None of these
71. A salesman sold an article at 20% loss. If he could sale it ₹200 more, there would be a gain of 5%. The cost price of the article is one of the following:
(A) ₹800
(B) ₹600
(C) ₹640
(D) ₹840
72. A man buys an article at ₹X and sells it at ₹750 and thereby he gains 25%. The value of X is one of the following:
(A) 600
(B) 650
(C) 500
(D) 550
73. The ratio of loss and the sales price of an article is 1 : 7. The percentage of loss is
(A) 12½%
(B) 8%
(C) 12%
(D) 7%
74. The sum of a rational and irrational number is
(A) always rational
(B) always irrational
(C) rational and irrational
(D) sometimes integer
75. The difference of two rational numbers is
(A) always rational
(B) may or may not be rational
(C) always integer
(D) always negative integer
MVI – (NT) – Prelim Question Paper – 2018
26. X can do a piece of work in 20 days and Y can do it in 12 days. Y worked at it for 9 days. In how many days can X alone finish the remaining work?
(A) 5
(B) 3
(C) 7
(D) 11
27. If ⅗th of 60% of a number is 36, the number is
(A) 90
(B) 80
(C) 100
(D) 75
28. The mean of five (5) numbers is 18. If one number is excluded, their mean is 16. The excluded number is
(A) 26
(B) 27
(C) 25
(D) 30
29.
(A) 2997
(B) 5997
(C) 5979
(D) 5994
30. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If the ratio of milk and water is to be 1 : 2, then the quantity of water (in litres) to be further added is
(A) 30
(B) 20
(C) 40
(D) 60
31. ⅝ of 24 = ¹⁵/₇ x ?
(A) 7
(B) ⁷/₂₂₅
(C) 8
(D) 15
32.
(A) 0.4087
(B) 0.73
(C) 0.46
(D) 1
33. The value of
(A) √2
(B) 4
(C) 2
(D) 8
34. The population of a town increases by 5% annually. If it is 15435 now, its population 2 years ago was
(A) 14000
(B) 15000
(C) 13700
(D) 14800
35. A man received 15% increase in his salary. If his new salary is ₹1932, his original salary was (in rupees)
(A) 1642.20
(B) 1820
(C) 1680
(D) 1720.60
36. The speed of a train 150 m long is 50 km/h. How much time will it take to pass a platform 600 m long?
(A) 50 Sec.
(B) 60 Sec.
(C) 54 Sec.
(D) 64 Sec.
37. The selling price of an article is ⁴/₃ times its cost price. The gain percentage is
(A) 20½%
(B) 20⅓%
(C) 25¼%
(D) 33⅓%
38. The ratio of cost price and selling price of an article is 20 : 21. What is the profit per cent on it ?
(A) 5.5%
(B) 5%
(C) 6%
(D) 6.25%
39. In what time will a sum of money double itself at 6¼% p.a. simple interest?
(A) 5 years
(B) 12 years
(C) 8 years
(D) 16 years
40. A boat is rowed downstream at 15.5 km/hr and upstream at 8.5 km/hr. The speed of the stream is
(A) 3.5 km/hr
(B) 5.75 km/hr
(C) 6.5 km/hr
(D) 7 km/hr
41. Price of 5 chairs and 2 tables is Rs.1,350. Two chairs cost as much as one table. What is the price of one chair and one table?
(A) Rs.350
(B) Rs.450
(C) Rs.500
(D) Rs.550
42. A starts a business at the beginning of the year with a capital Rs.9,000. After 3 months B joined the business with a capital of Rs.12,000. If the profit at the end of 2 years be Rs.9,620, difference between the profit of A and B is
(A) Rs.740
(B) Rs.750
(C) Rs.760
(D) Rs.770
43. A can do a work in 24 days. If B’s efficiency is 60% more than A, B can do the whole work in
(A) 12 days
(B) 15 days
(C) 18 days
(D) 20 days
44. In a mixture ratio of first and second liquid is 2 : 3 and in another mixture ratio of those two liquids is 5 : 4. Ratio in which the two mixtures be mixed so that quantity of two liquid in the new mixture be equal is
(A) 2 : 5
(B) 3 : 7
(C) 5 : 9
(D) 9 : 11
45. A car goes from A to B at a speed 36 km/hr and returns from B to A at a speed of 45 km/hr. Average speed of the car during the whole journey is
(A) 40.5 km/hr
(B) 40 km/hr
(C) 35 km/hr
(D) 30 km/hr
46. Successive Commission of 20%, 10% and 5% on an article is equivalent to the commission
(A) 31%
(B) 31.6%
(C) 32.5%
(D) 35%
47. What per cent is 150 ml of 3.5 litres?
(A) 3²/₇%
(B) 4²/₇%
(C) 5²/₇%
(D) 6²/₇%
48. A train can go from Burdwan to Howrah in 6 hours and another train can go from Howrah to Burdwan in 4 hours. Both of them start at 7 A.M. They will meet at
(A) 9:15 A.M.
(B) 9:22 A.M.
(C) 9:24 A.M.
(D) 9:25 A.M.
49. Bananas are bought at 3 for Rs.2 and sold at 2 for Rs.3. Find the gain per cent.
(A) 110%
(B) 115%
(C) 120%
(D) 125%
50. If two numbers are in the ratio 5 : 7 and their L.C.M. is 315, then their product is
(A) 2358
(B) 2385
(C) 2538
(D) 2835
MVI – (NT) – Prelim Question Paper – 2016
4. The length of a rectangular garden is 4 times its breadth and its perimeter is 40 metre. Area of the garden is
(A) 65 m²
(B) 70 m²
(C) 64 m²
(D) 60 m²
8. Ram invested ₹40000 in 2 parts. One part he got interest at the rate of 10% while of the other he got 6%. If the income on the total investment is 7.5%, the ratio of the smaller part with the larger part is
(A) 2 : 7
(B) 5 : 3
(C) 7 : 2
(D) 3 : 5
9. When 67⁶⁷ + 67 is divisible by 68, the remainder is
(A) 22
(B) 66
(C) 0
(D) 33
17. B, I, N enter into a partnership business. B advances ₹1200 for 4 months, I ₹1400 for 8 months and N ₹1000 for 10 months. They gain ₹585 altogether. Share of B is –
(A) ₹252
(B) ₹108
(C) ₹175
(D) ₹225
21. In a party every person handshakes with every one, if handshakes are held 105 times then how many persons are presented in that party?
(A) 20
(B) 25
(C) 15
(D) 10
23. The inverse ratio of the compound ratio of the ratios 2 : 3, 3 : 4 and 4 : 5 is
(A) 3 : 4
(B) 4 : 3
(C) 5 : 2
(D) 2 : 5
25. In case of profit, which one is correct?
(A) Cost price = Selling price
(B) Selling price < Cost price
(C) Cost price < Selling price
(D) Post price = Printed price
31. If the average marks of three batches of 50, 60 and 55 students respectively is 55, 45 and 60 then the average marks of all the students is –
(A) 54.68 (approx)
(B) 53.33 (approx)
(C) 53.03 (approx)
(D) 55
32. ⁷/₁₂ of the commodity was sold at a profit of 25% and the balance was sold at a loss of 25%. If in this deal ₹200 is earned, the cost of the commodity is
(A) ₹4800
(B) ₹4600
(C) ₹4200
(D) ₹4400
36. The total number of digit in the square root of 22071204 is
(A) 6
(B) 3
(C) 5
(D) 4
38. Income up to ₹16000 is free from income tax. Income tax on the income up to ₹30000 is 15%. The income of a man be ₹25000. The amount of income tax the man should pay is
(A) ₹1200
(B) ₹900
(C) ₹1500
(D) ₹1350
44. (½)% when expressed as decimal fraction is
(A) 0.005
(B) 0.0005
(C) 0.5
(D) 0.05
45. In an election, candidate A got 75% of the total valid votes. If the 15% of the total votes were declared invalid and the total number of voters is 5,60,000, find the number of valid votes poled in favour of candidate.
(A) 457000
(B) 375000
(C) 357000
(D) 458000
52. Convert 30 m/s into km/hr
(A) 101 km/hr
(B) 100 km/hr
(C) 105 km/hr
(D) 108 km/hr
53. The value of 2⅐ + 5³/₇ is
(A) 7⁴/₇
(B) 10³/₄₉
(C) 10⁴/₇
(D) 7³/₄₉
54. The area of the largest triangle that can be inscribed in a semi circle of radius r cm is
(A) 2r² cm²
(B) r² cm²
(C) 2r cm²
(D) ½r² cm²
57. Three numbers are in the ratio 5 : 6 : 7 and their LCM is 4200. The sum if the numbers is
(A) 360
(B) 180
(C) 540
(D) 720
62. You took some money for marketing. You used ⅕ of your money to purchase fish and ¼ of rest to purchase vegetables. Again from rest ⅓ is used for purchasing rice and after that ½ of rest is used for oil. Still you have ₹100. For marketing you took ₹
(A) 400
(B) 220
(C) 500
(D) 1400
63. Ritu rows a distance of 1 km down the stream in 10 minutes and he takes 30 minutes to cover the same distance up stream. The speed of the stream in km/hr is
(A) 2½
(B) 4
(C) 3
(D) 2
71. Ratio of 7 L, 2 decilitre and 9 L is
(A) 5 : 4
(B) 9 : 10
(C) 10 : 9
(D) 4 : 5
74. A 7 m 40 cm ribbon is divided into three parts. The ratio between second and third and third part is 3 : 5 and first part is ¼ of the third part. The difference between the greatest and least part is (in cm.)
(A) 140
(B) 160
(C) 500
(D) 300
77. (1998)² + (1997)² + (1996)² – 1998 × 1997 – 1998 × 1996 – 1997 × 1996 = ?
(A) 0
(B) 3
(C) 2
(D) 1
83. The H.C.F. of two numbers is 17 and their sum is 136. One of the possible values of the numbers is
(A) 68, 58
(B) 51, 85
(C) 16, 120
(D) 34, 102
87. Out of the pair of following numbers, the pair of numbers prime to each other is
(A) 27 and 81
(B) 15 and 9
(C) 8 and 24
(D) 4 and 9
89. The value of 71 × 9 + 29 × 9 is
(A) 9000
(B) 90
(C) 900
(D) 9
90. If profit is to be 12½%, the ratio of cost price and selling price will be –
(A) 9 : 8
(B) 9 : 10
(C) 10 : 9
(D) 8 : 9
95. A starts a business with a capital of ₹5000. B and C join the business after 3 and 5 months respectively. If B invests ₹6000 and C ₹8000 in the business and if the profit amounts to ₹3400 in one year, then B’s profit is
(A) ₹1120
(B) ₹1200
(C) ₹1080
(D) ₹1500
98. A man sees a train passing over a bridge 1 km long. The length of the train is ¼ that of the bridge. If the train clears the bridge in 50 sec, the speed of the train is
(A) 45 kmph
(B) 115 kmph
(C) 125 kmph
(D) 90 kmph
102. The ratio of the money with Rita and Sita is 7 : 15 and that with Sita and Kabita is 7 : 16. If Rita has ₹490, then Kabita has –
(A) ₹2200
(B) ₹2400
(C) ₹2500
(D) ₹2300
110. Pure milk contains 89% water. If in a sample of milk there is 90% water, then the quantity of water mixed in 22 L of such milk is
(A) 1 L
(B) 2 L
(C) 1.7 L
(D) 1.5 L
113. H.C.F. of two numbers is 7 and their L.C.M. is 42. If one number is 14, other is
(A) 14
(B) 21
(C) 18
(D) 20
114. A sum of ₹875 is invested in the beginning of a year at a certain rate of interest. After 1 year and 9 months, ₹3500 more is invested but at the rate twice the former. At the end of two years, ₹131.25 is received as interest from both the investments. The original rate of interest is-(in %)
(A) 3.25
(B) 3.75
(C) 7.5
(D) 5.25
117. If sum of a few numbers is 450 and their mean is 50 and if another number 100 is included, the mean would become
(A) 60
(B) 55
(C) 75
(D) 150