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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 which will divide 25, 73 and 97 as so to leave the same remainder in each case?

12
32
24
18

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least number which when divide by 2, 3, 4, 5 and 6 leaves 1, 2, 3, 4 and 5 as remainders respectively, but when divided by 7 leaves no remainder?

119
210
154
126

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Two numbers are in the ratio of 15 : 11. If their H.C. F. is 13, Find he numbers .

185 and 133
175 and 123
195 and 143
195 and 163

ANSWER DOWNLOAD EXAMIANS APP

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

4
13
7
9

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

101
107
111
185

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 Let the numbers be 37a and 37b.Then, 37a x 37b = 4107 ab = 3.Now, co-primes with product 3 are (1, 3).So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111). Greater number = 111.

Problems on H.C.F and L.C.M
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

268
689
432
1015

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7= 1008 + 7= 1015

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

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