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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 which when divided by 16, 18, 20 and 25 leaves 4 as remainder in each case, but when divided by 7 leaves no remainder.

18000
18002
17004
18004

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
252 can be expressed as a product of primes as:

2 x 2 x 3 x 3 x 7
2 x 3 x 3 x 3 x 7
2 x 2 x 2 x 3 x 7
3 x 3 x 3 x 3 x 7

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Clearly, 252 = 2 x 2 x 3 x 3 x 7.

Problems on H.C.F and L.C.M
Find he smallest number of five digits exactly divisible by 16, 24, 36 and 54 .

9868
10368
10688
9368

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The traffic light at three different road crossing change after every 48 sec, 72 sec. and 108 sec. respectively . If they all change simultaneously at 8 : 20 : 00 hours, then at what time will they ag

7 : 27 : 12 hrs.
6 : 27 : 12 hrs.
8 : 27 : 12 hrs.
5 : 27 : 12 hrs.

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

101
182
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.

Problems on H.C.F and L.C.M
A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. Find the least number of square tiles of equal size required to cover the entire floor of the room?

117
124
110
96

ANSWER DOWNLOAD EXAMIANS APP
MORE MCQ ON Problems on H.C.F and L.C.M

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