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

Problems on H.C.F and L.C.M
Find the least number of five digits which is exactly divisible by 12, 15 and 18?

10025
11080
10080
1080

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The G.C.D. of 1.08, 0.36 and 0.9 is:

0.03
0.9
0.18
0.108

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

 Given numbers are 1.08, 0.36 and 0.90.   H.C.F. of 108, 36 and 90 is 18, H.C.F. of given numbers = 0.18.

Problems on H.C.F and L.C.M
Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case

606
707
505
404

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

  3 |  6 - 7  - 8  - 9 - 12-----------------------------  4 | 2  - 7  - 8  - 3 - 4  ---------------------------   2 | 2  - 7  - 2  - 3 - 1 --------------------------     | 1  - 7  - 1  - 3 - 1 L.C.M = 3 X 2 X 2 X 7 X 2 X 3 = 504.Hence required number = (504 +1) = 505   

Problems on H.C.F and L.C.M
Find the least number which when divided by 26, 36 and 46 leaves the remainders 12, 22 and 32 respectively.

10075
17050
10570
10750

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least number which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

18002
18000
17004
18004

ANSWER DOWNLOAD EXAMIANS APP

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

182
101
99
176

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.

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

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