In this section you can learn and practice Aptitude Questions based on "Problems on H.C.F and L.C.M" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc.
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| LCM and HCF |
1. The LCM of two numbers is 30 and there HCF is 5. One of the number is 10. The other is
(1) 20
(2) 25
(3) 15
(4) 5
2. The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F. ?
(1) 8
(2) 12
(3) 24
(4) 35
3. The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is :
(1) 46
(2) 48
(3) 50
(4) 56
4. The least perfect square, which is divisible by each of 21, 36 and 66 is
(1) 214344
(2) 214434
(3) 213444
(4) 231444
5. The smallest number, which when divided by 12 and 16 leaves remainder 5 and 9 respectively, is :
(1) 55
(2) 41
(3) 39
(4) 29
6. The number nearest to 43582 divisible by each of 25, 50 and 75 is :
(1) 43500
(2) 43659
(3) 43600
(4) 43550
7. The greatest number, which when divided by 989 and 1327 leaves remainders 5 and 7 respectively, is :
(1) 8
(2) 16
(3) 24
(4) 32
8. What is the greatest number which will divide 110 and 128 leaving a remainder 2 in each case ?
(1) 8
(2) 18
(3) 28
(4) 38
9. Two numbers are in the ratio 3:4. Their L.C.M. is 84. The greater number is
(1) 21
(2) 24
(3) 28
(4) 84
10. The L.C.M. of two number is 48. The numbers are in the ratio 2:3. The sum of the numbers is
(1) 28
(2) 32
(3) 40
(4) 64
Ans :-
1-3, 2-4, 3-3, 4-3, 5-2,
6-2, 7-3, 8-2, 9-3, 10-3
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