H.C.F & L.C.M. of Numbers Questions and Answers

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Q21
The greatest number that will divide 187, 233 and 279 leving the same reminder in each case is :
  • A 30
  • B 36
  • C 46
  • D 56
Answer: Option C
Q22
The greatest number which can divide 1356, 1868 and 2764 leaving same remainder 12 in each case, is :
  • A 64
  • B 124
  • C 156
  • D 260
Answer: Option A
Q23
The greatest number by which if 1657 and 2037 are dividedto give remainders 6 and 5 respectively, is
  • A 127
  • B 123
  • C 235
  • D 305
Answer: Option A
Q24
The greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm is :
  • A 15 cm
  • B 25 cm
  • C 35 cm
  • D 45 cm
Answer: Option D
Q25
Three different containers contain 496 litres, 403 litres and 713 litres of mixtures ofmilk and water respectively, what biggest measure can measure all the different quantities exactly ?
  • A 1 litre
  • B 7 litres
  • C 1 litres
  • D 41 litres
Answer: Option C
Q26
The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is
  • A 1600
  • B 3600
  • C 6400
  • D 14400
Answer: Option B
Q27
What is the least number which when divided by 8, 9, 12 and 15 leaves the same remainder 1 in each case ?
  • A 179
  • B 181
  • C 359
  • D 361
Answer: Option D
Q28
what is the greatest number of three digits which when divided by 6,  9 and 12 leaves a remainder of 3 in each case ?
  • A 975
  • B 996
  • C 939
  • D 903
Answer: Option A
Q29
The least number of five digits which is exactly divisible by 12, 15 and 18 is :
  • A 10010
  • B 10015
  • C 10020
  • D 10080
Answer: Option D
Q30
The smallest number which when diminished by 3 is divisible by 21, 28, 36 and 45 is :
  • A 423
  • B 1257
  • C 1263
  • D 1260
Answer: Option C
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