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Problems on H.C.F and L.C.M

Problems on H.C.F and L.C.M
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

6
8
2
4

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)                                 = H.C.F. of 48, 92 and 140 = 4.

Problems on H.C.F and L.C.M
The HCF of 2 numbers is 11 and LCM is 693.If one of numbers is 77.find the other number ?

97
100
99
98

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Product of two numbers= HCF x  LCM                        77 x a = 11 x 693Other number a  = (11×693)/77 = 99.

Problems on H.C.F and L.C.M
The HCF of two numbers is 42 and the other two factors of their LCM are 11 and 12. What is the largest number.

480
462
504
450

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least multiple of 23,which when divided by 18,21 and 24 leaves remainders 7,10 and 13 respectively.

3013
3024
3002
3036

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the largest number which divides 62,132,237 to leave the same reminder

25
35
None of these
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Trick is HCF of (237-132), (132-62), (237-62)= HCF of (70,105,175) = 35

Problems on H.C.F and L.C.M
The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is:

40
20
10
30

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let the numbers be 2x and 3x.Then, their L.C.M. = 6x.So, 6x = 48 or x = 8The numbers are 16 and 24.Hence, required sum = (16 + 24) = 40.

MORE MCQ ON Problems on H.C.F and L.C.M

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