Problems On H.C.F And L.C.M MCQ

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• LCM of two prime numbers x and y (x > y) is 161. Then the value of 3y - x is = ?
  ক

  -2

  খ

  -1

  গ

  1

  ঘ

  2
• The traffic lights at three different signal points change after every 45 seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7:20:15 hours, then they will change again simultaneously at = ?
  ক

  7:28:00 hours

  খ

  7:27:45 hours

  গ

  7:27:30 hours

  ঘ

  7:27:50 hours
• The greatest 4 digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28 = ?
  ক

  9288

  খ

  9882

  গ

  9828

  ঘ

  9928
• The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of numbers is = ?
  ক

  70

  খ

  140

  গ

  35

  ঘ

  105
• The number of pair of positive integers whose sum is 99 and HCF is 9 is =
  ক

  5

  খ

  4

  গ

  3

  ঘ

  2
• A general of an Army wants to create a formation of square from 36562 army men. After arrangement, he found some army men remainder unused.
  ক

  36

  খ

  65

  গ

  81

  ঘ

  97
• Two pipes of length 1.5 m and 1.2 m are to be cut into equal pieces without leaving any extra length of pipes. The greatest length of the pipe pieces of same size which can be cut from these two lengths will be = ?
  ক

  0.13 m

  খ

  26 m

  গ

  0.3 m

  ঘ

  0.41 m
• A number x is divided by 7. When this number is divided by 8, 12 and 16. It leaves a remainder 3 in each case. The least value of x is = ?
  ক

  148

  খ

  149

  গ

  150

  ঘ

  147
• The product of two whole numbers is 1500 and their HCF is 10. Find the LCM = ?
  ক

  15000

  খ

  150

  গ

  1500

  ঘ

  15
• If three number are 2a, 5a and 7a, what will be their LCM ?
  ক

  70a

  খ

  65a

  গ

  75a

  ঘ

  73a
• If the product of three consecutive numbers is 210, then the sum of the smaller numbers is = ?
  ক

  3

  খ

  4

  গ

  5

  ঘ

  11
• The LCM of four consecutive numbers is 60. The sum of the first two numbers is equal to the fourth number. What is the sum of four numbers
  ক

  17

  খ

  14

  গ

  21

  ঘ

  24
• Find the HCF of 132, 204 and 228 = ?
  ক

  12

  খ

  18

  গ

  6

  ঘ

  21
• Three wheels can complete 40, 24 and 16 revolutions per minutes respectively. There is a red spot on each wheel that touches the ground at time zero. After how much time, all these spots will simultaneously touch the ground again ?
  ক

  $${\text{7}}\frac{1}{2}$$ sec.

  খ

  18 sec.

  গ

  $$7\frac{1}{2}$$ min.

  ঘ

  18 min.
• Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point ?
  ক

  2 minutes 20 seconds

  খ

  2 minutes 24 seconds

  গ

  3 minutes 36 seconds

  ঘ

  4 minutes 12 seconds
• The number between 4000 and 5000 that is divisible by each of 12, 18, 21 and 32 is = ?
  ক

  4203

  খ

  4023

  গ

  4032

  ঘ

  4302
• The difference between the greatest and least prime numbers which are less then 100 is = ?
  ক

  95

  খ

  96

  গ

  97

  ঘ

  94
• A number between 1000 and 2000 which when divided by 30, 36 and 80 gives a remainder 11 in each case is = ?
  ক

  11523

  খ

  1451

  গ

  1641

  ঘ

  1712
• Four bells begin to toll together and toll respectively at intervals of 6, 7, 8 and 9 seconds. In 1.54 hours, how many times do they toll together and in what interval (seconds)?
  ক

  14, 504

  খ

  14, 480

  গ

  12, 504

  ঘ

  16, 580
• Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes , how many times do they toll together ?
  ক

  4

  খ

  10

  গ

  15

  ঘ

  16
• An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 am. The next time, when they would beep together at the earliest is = ?
  ক

  10.30 am

  খ

  10.31 am

  গ

  10.59 am

  ঘ

  11 am
• The number of pairs of positive integers whose sum is 99 and HCF is 9 is = ?
  ক

  5

  খ

  2

  গ

  3

  ঘ

  4
• The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is = ?
  ক

  116

  খ

  124

  গ

  112

  ঘ

  120
• The HCF and LCM of two numbers are 21 and 84 respectively. If the ratio of the two numbers is 1 : 4 then larger of the two numbers is = ?
  ক

  48

  খ

  12

  গ

  84

  ঘ

  108
• 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 = ?
  ক

  700

  খ

  720

  গ

  750

  ঘ

  780
• 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 ?
  ক

  485

  খ

  725

  গ

  845

  ঘ

  None of these
• 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 = ?
  ক

  1677

  খ

  1683

  গ

  2523

  ঘ

  3363
• A number when divided by 361 gives remainder 47. When the same number is divided by 19 then find the remainder ?
  ক

  9

  খ

  1

  গ

  8

  ঘ

  3
• 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 = ?
  ক

  24

  খ

  21

  গ

  22

  ঘ

  18
• Let x be the smallest number, which when added to 2000 make the resulting number divisible by 12, 16, 18 and 21. The sum of the digits of x is = ?
  ক

  6

  খ

  5

  গ

  7

  ঘ

  8