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

Problems on H.C.F and L.C.M
The maximum number of student amoung them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :

1001
1911
91
910

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Which of the following has the most number of divisors?

176
99
101
182

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Option A, 176 = 1 x 2 x 2 x 2 x 2 x 11.Option B, 182 = 1 x 2 x 7 x 13. Option C, 99 = 1 x 3 x 3 x 11. Option D, 101 = 1 x 101.Divisors of 99 are 1, 3, 9, 11, 33, 99.Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176. Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.Hence, 176 have the most number of divisors.

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
Which of the following integers has the most number of divisors?

176
101
182
99

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number of five digits that have 144 their HCF is?

10075
10070
10080
10085

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the HCF of 54, 288, 360

16
18
17
19

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Lets solve this question by factorization method.18=2×3²,288=2×2×2×2×2×3²,360=2³×3²×5So HCF will be minimum term present in all three, i.e.2×3²=18

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

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