1723534562.png){kind=small}
IPMAT Indore 2022 - QA (MCQ) Q37 Explanation
December 28, 2024
Explanation:
(b)
Let the number is N = 3^7 ∙ 2^8 ∙ 17^3
Total number of factors of N = (7+1) (8 + 1) (3+1)
= 8 × 9 ×4 = 8 × 36 = 288
In order to find total number of perfect square factors, we need to find the number of perfect square factors of 37,28 & 173, which when multiplied in combinations will produce all possible perfect square factors.
⇒( 3^0 3^2 3^4 3^6) (2^2 2^2 2^4 2^6 2^8) ×( 17^0 17^2) = 4 × 5 × 2 = 40
⇒ 𝑃(𝐸) = 40/288 = 5/36