Q) If X=2³×3⁴×4⁵,Y=3⁴×4⁵×5⁶ and Z=4⁵×5⁶×6⁷×7⁸ then
a)The sum of all divisors of XYZ is even
b)The sum of all divisors of XYZ is odd
c)The number of ways in which XYZ resolved into product of two factors is 8
d)The sum of all prime factors of XYZ is prime number
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ANSWER = (B) THE SUM OF ALL THE DIVISORS OF "XYZ" IS ODD....
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The sum of all divisors of XYZ is odd
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