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

Problems on H.C.F and L.C.M
A man was employed on the promise that he will be paid the highest wages per day. The contract money to be paid was Rs. 1189. Finally he was paid only Rs. 1073. For how many days did he actually work?

35
40
37
39

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number which should be added to 2497 so that sum is divisible by 5, 6, 4, 3?

25
23
21
27

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

LCM of 5,6,4,3 is 60.On dividing 2497 by 60 we get 37 as remainder.Therefore number to be added is 60 - 37 =23.

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

101
182
176
99

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 respestively.

3024
3036
3002
3013

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

131
133
127
129

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

In this type of question, its obvious we need to calculate the HCF, trick isHCF of (1661 - 10) and (2045 -13)= HCF (1651, 2032) = 127

Problems on H.C.F and L.C.M
H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is:

180
540
360
1260

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

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