JEE Mains · Maths · STD 11 - 6. permutation and combination
The total number of \(3\)-digit numbers, whose greatest common divisor with \(36\) is \(2\) , is
- A \(150\)
- B \(151\)
- C \(148\)
- D \(149\)
Answer & Solution
Correct Answer
(A) \(150\)
Step-by-step Solution
Detailed explanation
\(36=2 \times 2 \times 3 \times 3\) Number should be odd multiple of \(2\) and does not having factor \(3\) and \(9\) Odd multiple of \(2\) are \(102,106,110,114 \ldots . .998 \text { ( } 225 \text { no.) }\) No. of multiples of \(3\) are…
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