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MCQOPTIONS
This section includes 402 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 51. |
The greatest number that will divide 729 and 901 leaving remainder 9 and 5 respectively is=? |
| A. | 5 |
| B. | 6 |
| C. | 9 |
| D. | 0 |
| Answer» C. 9 | |
| 52. |
84 Maths books, 90 Physics books, 120 Chemistry books have to be stacked topicwise. How many books will be there in each stack so that each stack will have the same height too ? |
| A. | 2 |
| B. | 8 |
| C. | |
| Answer» D. | |
| 53. |
Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is=? |
| A. | 630 cm |
| B. | 360 cm |
| C. | 930 cm |
| D. | 950 cm |
| Answer» D. 950 cm | |
| 54. |
If r is the remainder when each of 7654, 8506, and 9997 is divided by the greatest number d(d > 1) then d - r is equal to=? |
| A. | 4 |
| B. | 8 |
| C. | 4 |
| D. | 8 |
| Answer» B. 8 | |
| 55. |
Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut ? |
| A. | 7 |
| B. | 6 |
| C. | 3 |
| D. | 80 |
| Answer» C. 3 | |
| 56. |
The greatest 4-digit number exactly divisible by 10, 15, 20 is=? |
| A. | 990 |
| B. | 960 |
| C. | 980 |
| D. | 995 |
| Answer» C. 980 | |
| 57. |
A farmer has 945 cows and 2475 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock.If these flocks are as large as possible, then the maximum number of animals in each flock and total number of flocks required for the purpose are respectively ? |
| A. | 5 and 228 |
| B. | and 380 |
| C. | 5 and 76 |
| D. | 6 and 75 |
| Answer» D. 6 and 75 | |
| 58. |
Find the HCF of $$\frac{3}{4}{\text{,}}\,\frac{5}{6}$$and $$\frac{6}{7}$$ = ? |
| A. | $\frac{5}{{14}}$$ |
| B. | $\frac{1}{{84}}$$ |
| C. | $\frac{1}{{63}}$$ |
| D. | $\frac{1}{{168}}$$ |
| Answer» C. $\frac{1}{{63}}$$ | |
| 59. |
Three sets of English , Mathematics and Science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subject wise and the height of each stack is the same. Total number of stakes will be ? |
| A. | 4 |
| B. | 1 |
| C. | 2 |
| D. | 8 |
| Answer» B. 1 | |
| 60. |
The least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad is=? |
| A. | 56 |
| B. | 38 |
| C. | 14 |
| D. | 02 |
| Answer» D. 02 | |
| 61. |
The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is=? |
| A. | 1 |
| B. | 10 |
| C. | 001 |
| D. | 911 |
| Answer» B. 10 | |
| 62. |
A person has to completely put each of three liquids: 403 litres of petrol, 465 litres of diesel and 496 litres of Mobil Oil in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required ? |
| A. | 4 |
| B. | 4 |
| C. | 6 |
| D. | one of these |
| Answer» C. 6 | |
| 63. |
The traffic lights at three different road crossings change after 24 seconds, 36 seconds, and 54 seconds respectively. If they all change simultaneously at 10:15:00 AM, then at what time will they again change simultaneously ? |
| A. | 0:16:54 AM |
| B. | 0:18:36 Am |
| C. | 0:17:02 AM |
| D. | 0:22:12 AM |
| Answer» C. 0:17:02 AM | |
| 64. |
A daily wage labourer was engaged for a certain number of days for Rs. 5750, but being absent on some of those days he was paid only Rs. 5000.What was his maximum possible daily wage ? |
| A. | s. 125 |
| B. | s. 250 |
| C. | s. 375 |
| D. | s. 500 |
| Answer» C. s. 375 | |
| 65. |
The capacity of two pots is 120 litres and 56 litres respectively. Find the capacity of a container which can exactly measure the contents of the two pots=? |
| A. | 500 cc |
| B. | 850 cc |
| C. | 000 cc |
| D. | 500 cc |
| Answer» D. 500 cc | |
| 66. |
The LCM of two numbers is 520 and their HCF is 4. If one of the numbers is 52, then the other number is=? |
| A. | 0 |
| B. | 2 |
| C. | 0 |
| D. | 2 |
| Answer» B. 2 | |
| 67. |
Two numbers are in the ratio 3:4. Their LCM is 84. The greater number is ? |
| A. | 1 |
| B. | 4 |
| C. | 8 |
| D. | 4 |
| Answer» D. 4 | |
| 68. |
The greatest possible length which can be used to measure exactly the lengths 7m, 3m 85cm, 12m 95cm is=? |
| A. | 5cm |
| B. | 5cm |
| C. | 5cm |
| D. | 2cm |
| Answer» D. 2cm | |
| 69. |
The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35 is ? |
| A. | 120 |
| B. | 714 |
| C. | 200 |
| D. | 600 |
| Answer» C. 200 | |
| 70. |
The product of two numbers is 396 × 576 and their LCM is 6336. Find their HCF= ? |
| A. | 6 |
| B. | 4 |
| C. | 3 |
| D. | 3 |
| Answer» B. 4 | |
| 71. |
The LCM of two numbers is 44 times of their of HCF. The sum of the LCM and HCF is 1125. If one number is 25 then the other number is=? |
| A. | 100 |
| B. | 75 |
| C. | 00 |
| D. | 00 |
| Answer» B. 75 | |
| 72. |
The smallest number, which when increased by 5 is divisible by each of 24, 32, 36 and 64 is ? |
| A. | 69 |
| B. | 59 |
| C. | 71 |
| D. | 27 |
| Answer» D. 27 | |
| 73. |
What least number must be subtracted from 1936 so that the resulting number when divided by 9, 10 and 15 will leave in each case the same remainder 7 ? |
| A. | 7 |
| B. | 6 |
| C. | 9 |
| D. | 0 |
| Answer» D. 0 | |
| 74. |
The LCM of two numbers is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93, find the other= ? |
| A. | 24 |
| B. | 28 |
| C. | 34 |
| D. | one of these |
| Answer» B. 28 | |
| 75. |
If the sum of two numbers is 36 and their HCF and LCM are 3 and 105 respectively, the sum of the reciprocals of the numbers is=? |
| A. | $\frac{2}{{35}}$$ |
| B. | $\frac{3}{{35}}$$ |
| C. | $\frac{4}{{35}}$$ |
| D. | one of these |
| Answer» D. one of these | |
| 76. |
The smallest number, which when divided by 5, 10, 12 and 15, leaves remainder 2 in each case , but when divided by 7 leaves no remainder , is=? |
| A. | 89 |
| B. | 82 |
| C. | 75 |
| D. | 1 |
| Answer» C. 75 | |
| 77. |
The HCF of two numbers , each having three digits, is 17 and their LCM is 714. The sum of the numbers will be ? |
| A. | 89 |
| B. | 91 |
| C. | 21 |
| D. | 31 |
| Answer» D. 31 | |
| 78. |
Three numbers are in the ratio 2 : 3 : 4, If their LCM is 240 the smaller of the three numbers is=? |
| A. | 0 |
| B. | 0 |
| C. | 0 |
| D. | 0 |
| Answer» B. 0 | |
| 79. |
The HCF and LCM of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is=? |
| A. | 2 |
| B. | 8 |
| C. | 4 |
| D. | 08 |
| Answer» D. 08 | |
| 80. |
The LCM of two multiples of 12 is 1056. If one of the number is 132, the other number is ? |
| A. | 2 |
| B. | 2 |
| C. | 6 |
| D. | 32 |
| Answer» D. 32 | |
| 81. |
The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies between 200 and 300 , the two numbers are ? |
| A. | 73, 357 |
| B. | 73, 359 |
| C. | 73, 361 |
| D. | 73, 363 |
| Answer» B. 73, 359 | |
| 82. |
Sum of two numbers is 384. HCF of the numbers is 48. Thedifference of the numbers is=? |
| A. | 00 |
| B. | 92 |
| C. | 88 |
| D. | 36 |
| Answer» D. 36 | |
| 83. |
Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2028. The sum of the numbers is=? |
| A. | 8 |
| B. | 2 |
| C. | 6 |
| D. | 1 |
| Answer» E. | |
| 84. |
The greatest number for four digits which when divided by 12, 16 and 24 leave remainder 2,6 and 14 respectively is=? |
| A. | 974 |
| B. | 970 |
| C. | 807 |
| D. | 998 |
| Answer» B. 970 | |
| 85. |
When Seeta made necklaces of either 16 beads, 20 beads or 36 beads, not a single bead was left over. What could be the least number of beads Seeta had=? |
| A. | 00 |
| B. | 20 |
| C. | 50 |
| D. | 80 |
| Answer» C. 50 | |
| 86. |
A gardener has to plant trees in rows containing equal number of trees. If he plants in rows of 6, 8, 10 or 12 then five trees are left unplanted. But if he plants in rows of 13 trees each, then no tree is left. What is the number of trees that the gardener plants ? |
| A. | 85 |
| B. | 25 |
| C. | 45 |
| D. | one of these |
| Answer» D. one of these | |
| 87. |
The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is=? |
| A. | 677 |
| B. | 683 |
| C. | 523 |
| D. | 363 |
| Answer» C. 523 | |
| 88. |
Let x be the last number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case but when divided by 9 leaves remainder 0, the sum of digits of x is=? |
| A. | 4 |
| B. | 1 |
| C. | 2 |
| D. | 8 |
| Answer» E. | |
| 89. |
Find the greatest number of 4 digits which when divided by 4, 5, 6, 7 and 8 leaves 1, 2, 3, 4 and 5 as remainders=? |
| A. | 237 |
| B. | 240 |
| C. | 840 |
| D. | 999 |
| Answer» B. 240 | |
| 90. |
Find the least multiple of 23, which when divided by 18, 21 and 24 leaves remainders 7, 10 and 13 respectively=? |
| A. | 002 |
| B. | 013 |
| C. | 024 |
| D. | 036 |
| Answer» C. 024 | |
| 91. |
Find the least number which when divided by 12, leaves a remainder of 7; when divided by 15, leaves a remainder of 10 and when divided by 16, leaves a remainder of 11=? |
| A. | 15 |
| B. | 35 |
| C. | 47 |
| D. | 75 |
| Answer» C. 47 | |
| 92. |
The HCF of x6 - 1 and x4 + 2x3 - 2x1 - 1 is = ? |
| A. | 2 + 1 |
| B. | - 1 |
| C. | 2 - 1 |
| D. | + 1 |
| Answer» D. + 1 | |
| 93. |
The least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 2 in each case is=? |
| A. | 80 |
| B. | 76 |
| C. | 82 |
| D. | 78 |
| Answer» D. 78 | |
| 94. |
Five bells begin to toll together and toll respectively at intervals of 6, 7, 8, 9 and 12 seconds. After how many seconds will they toll together again? |
| A. | 2 seconds |
| B. | 12 seconds |
| C. | 04 seconds |
| D. | 18 seconds |
| Answer» D. 18 seconds | |
| 95. |
What is the greatest number of 3 digits which when divided by 6, 9 and 12 leaves a remainder of 3 in each case ? |
| A. | 03 |
| B. | 39 |
| C. | 75 |
| D. | 96 |
| Answer» D. 96 | |
| 96. |
The least number which when increased by 5 is divisible by each one of 24, 32, 36 and 54 is=? |
| A. | 27 |
| B. | 59 |
| C. | 69 |
| D. | 320 |
| Answer» C. 69 | |
| 97. |
The HCF (GCD) of a, b is 12, a, b are positive integers and a > b > 12. The smallest values of (a, b) are respectively ? |
| A. | 2, 34 |
| B. | 4, 12 |
| C. | 4, 36 |
| D. | 6, 24 |
| Answer» E. | |
| 98. |
The number nearest to 43582 divisible by each of 25, 50 and 75 is=? |
| A. | 3500 |
| B. | 3550 |
| C. | 3600 |
| D. | 3650 |
| Answer» E. | |
| 99. |
The sum of two numbers is 45. Their difference is $$\frac{1}{9}$$ of their sum. Their LCM is=? |
| A. | 00 |
| B. | 50 |
| C. | 00 |
| D. | 50 |
| Answer» B. 50 | |
| 100. |
HCF of $$\frac{2}{3}{\text{,}}\frac{4}{5}$$and $$\frac{6}{7}$$ is = ? |
| A. | $\frac{{48}}{{105}}$$ |
| B. | $\frac{2}{{105}}$$ |
| C. | $\frac{1}{{105}}$$ |
| D. | $\frac{{24}}{{105}}$$ |
| Answer» C. $\frac{1}{{105}}$$ | |