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

Problems on H.C.F and L.C.M
The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is?

1494
1496
1349
1994

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The least number which when increased by 5 each divisible by each one of 24, 32, 36 and 54 is :

427
4320
859
869

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
The maximum number of students among 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:

910
91
1001
1911

ANSWER DOWNLOAD EXAMIANS APP

Problems on H.C.F and L.C.M
Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .

1683
2683
3683
4683

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

L.C.M. of 5,6,7,8 = 840.    Required number is of the form 840k + 3     Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 X 2 + 3)=1683

Problems on H.C.F and L.C.M
Find the greatest 4-digit number exactly divisible by 3, 4 and 5?

9985
9960
9975
9957

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:

107
111
185
101

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.

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

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