Latest self Aptitude Question SOLUTION: Let M be the set of all the distinct factors of the number N=65×52×10,Which are perfect squares. Find the product of the elements contained in the set M. ?

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(#M40020765) SELF Numerical Ability question Keep an EYE

Let M be the set of all the distinct factors of the number N=65×52×10,Which are perfect squares. Find the product of the elements contained in the set M. ?

vikash singh (10 years ago)

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sonam  (8 years ago)

N = 65×52×10 = 26×35×53
Even powers of 2 available: 20,22,24,26
Even powers of 3 available: 30,32,34
Even powers of 5 available: 50,52
Therefore number of factors of the number N that are perfect squares = 4 x 3 x 2 = 24
Product of the elements contained in M
= 2(2+4+6)×6×3(2+4)×8×52×12=272×348×524

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