question_answer

The smallest 4-digit number exactly divisible by 12, 15,  20 and 35 is _____.

A) 1,000                          

B) 1,160         

C) 1,260                          

D) none of these

Correct Answer: C

Solution :

    The smallest 4-digit = 1000 Now L.C.M of 12, 15, 20 and 35 L.C.M  \[=2\times 2\times 3\times 5\times 7=420\] We divide 1000 by 420 \[\therefore \]The least 4-digit number that is exactly divisible by 12 15 20 and 35 = 1000 + (420 - 160)                                 = 1000 + 260 = 1.260