Question : If a number K = 42 × 25 × 54 × 135 is divisible by 3a, then find the maximum value of a.
Option 1: 6
Option 2: 7
Option 3: 4
Option 4: 5
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Answer (1)
21st Jan, 2024
Correct Answer: 7
Solution :
Given number, K = 42 × 25 × 54 × 135 = 3 × 14 × 25 × 3
3
× 2 × 3
3
× 5
⇒ K = 3
7
× 14 × 25 × 2 × 5
So, the maximum power of 3 is 7.
So, the value of a must be 7.
Hence, the correct answer is 7.
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