H.C.F & L.C.F Problems
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1. The H.C.F. of two numbers is 16 and their L.C.M. is 160. If one of the Numbers is 32, then the other number is :
a) 48 b) 80
c) 96 d) 112
c) 96 d) 112
Answer : b
2. The product of two-digit numbers is 2160 and their G.C.M. is 12. The numbers are :
a) 72,30 b) 36,60
c) 96,25 d) None of these
Answer : b
3. The H.C.F of two numbers is 12 and their difference is also 12.The numbers are :
a) 66,78 b) 70,82
c) 94,106 d) 84,96
Answer : d
4. The sum of two numbers is 216 and their H.C.F. is also 27.The numbers are :
a) 54,162 b) 108,108
c) 27,189 d) none of these
Answer : c
5. The least perfect square number which is divisible by 12,15,20 and is a perfect square , is :
a) 400 b) 900
c) 1600 d) 3600
Answer : d
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6. The least perfect square number which is divisible by 3,4,5,6 and 8 is :
a) 900 b) 1200
c) 2500 d) 3600
Answer : d
7. The largest natural number which exactly divides the product of any four consecutive natural numbers, is :
a) 6 b) 12
c) 24 d) 120
Answer : c
8. The H.C.F. and L.C.M of two numbers are 44 and 264 respectively. If the first number is divided by 2,the quotient is 44. The other number is :
a) 33 b) 66
c) 132 d) 264
Answer : c
9. H.C.F of three numbers is 12. If they be in ratio 1 : 2: 3, The numbers are :
a) 12,24,36 b) 10,20,30
c) 5,10,15 d) 4,8,12
Answer : a
10. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is :
a) 276 b) 299
c) 322 d) 345
Answer : c
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