MHT CET · Maths · Permutation Combination
Total number of 3-digit numbers, whose g.c.d with 36 is 2 , is
- A \(140\)
- B \(150\)
- C \(165\)
- D \(170\)
Answer & Solution
Correct Answer
(B) \(150\)
Step-by-step Solution
Detailed explanation
Range for 3-digit numbers: \(100 \le N \le 999\). Condition: \( \text{g.c.d}(N, 36) = 2 \implies N \equiv 2 \pmod{4} \) and \( N \not\equiv 0 \pmod{3} \).
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