Problems on H.C.F and L.C.M on Arithmetic Aptitude related Questions and Answers

Question 1 : The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
1. 1008
2. 1015
3. 1022
4. 1032
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Question 2 : The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:
1. 12
2. 16
3. 24
4. 48
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Question 3 : What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?
1. 196
2. 630
3. 1260
4. 2520
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Question 4 : The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
1. 279
2. 283
3. 308
4. 318
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Question 5 : 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
1. 1677
2. 1683
3. 2523
4. 3363
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Question 6 : The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
1. 3
2. 13
3. 23
4. 33
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Question 7 : Find the lowest common multiple of 24, 36 and 40.
1. 120
2. 240
3. 360
4. 480
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Question 8 : The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
1. 74
2. 94
3. 184
4. 364
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Question 9 : The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
1. 1
2. 2
3. 3
4. 4
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Question 10 : The G.C.D. of 1.08, 0.36 and 0.9 is:
1. 0.03
2. 0.9
3. 0.18
4. 0.108
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