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6:09 pm
Is the integer n odd?
(1) n is divisible by 3.
(2) 2n is divisible by twice as many positive integers as n. A->Can be answered by option 1 alone
B->Can be answered by option 2 alone
C->Can be answered by options 1 and 2 taken together D->Can be answered by each of the options
E->Can’t be answered
5:22 pm
I think B is the right answer.
here’s the complete explanation
Statement 1 : n is divisible by 3 i.e n = {3,6,9,12…} so n can be either odd or even.
So stmnt 1 is insufficient
Statement 2 : Twice of any odd number( except for prime numbers)has twice the number of factors .
For eg .n=-9 .Factors are 1,3,9 .No of factors =3
2n= 18 .Factors are 1,2,3,6,9,18 .No of factors =6
So statement 2 is sufficient to prove that integer n is odd
Hence option B
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