Exasperated Farrago's post

in [2016] TIME AIMCAT 1713 (27th August to 28th August)
Updated 5 years ago

Anyone with an explanation for this question? 


82. If P is a perfect square, such that exactly 11 of its factors are less than its square root, find the number of factors of P

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anujchhari1993
@anujchhari1993FMS New Delhi  ·  307 karma

46 ?

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chiranjib.lee
@chiranjib.lee  ·  211 karma

If 11 factors are less than square root, then there must be 11 more factors more than it's square root. So total 23 factors which means power o P is 22, squaring P will have 44 as the power and hence 45 total factors.

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