Question

Find the least number which when divided by 3, 15 and 25 leaves a remainder of 2 in each case.

• A. 77
• B. 75
• C. 65
• D. 69

Answer 1

The correct option is A 77

$3=3\times 1$
$15=3\times 5$
$25=5\times 5$

L.C.M. of 3, 15, 25 = $3\times 5\times 5$ = 75

Least number which when divided by 3, 15 and 25 leaves a remainder of 2 in each case = 75 + 2 = 77

So, option 'a' is correct.