Q638
Ifa number K = 42 × 25 × 54 × 135 is divisible by 3a, then find the maximum value of a
A.
6
B.
7
AnswerC.
4
D.
5
Answer: Option B
Solution
Answer: Option B
Solution:
K = 42 × 25 × 54 × 135K = 3 × 14 × 25 × 33 × 2 × 33 × 5
= 37 × 14 × 25 × 2 × 5
= It is divided by 37, which is equal to 3a (given)
⇒ So, 37 = 3a
a = 7