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28 Apr 2016, 17:02
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Difficulty:
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Question Stats:
85% (00:54) correct
15%
(01:03)
wrong
based on 126
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If a and c are positive integers, is \(3^{11a} × a^{12c}\) divisible by 2?
(1) a = 4
(2) c = 15
(1) a = 4
(2) c = 15
29 Apr 2016, 00:30
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3 div by 2 gives Rem=1
so prob is reduced to 1^11a x a^12c
St 1 : a=4 . Hence given expression it is divisible by 2 , Sufficient
St 2: c=15 ----> this does not tell anything about a is odd or even. Insufficient.
so IMO Ans= A.
so prob is reduced to 1^11a x a^12c
St 1 : a=4 . Hence given expression it is divisible by 2 , Sufficient
St 2: c=15 ----> this does not tell anything about a is odd or even. Insufficient.
so IMO Ans= A.
29 Apr 2016, 02:14
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Bunuel
hi,
\(3^{11a} × a^{12c}\) div by 2 means is \(3^{11a} × a^{12c}\) EVEN...
since 3^11a will be ODD, it will depend ONLY on the value of a..
a) if a is EVEN.. ans is YES
b) if a is ODD.. ans is NO
lets see the statements
(1) a = 4
It gives us the value of a..
Suff
(2) c = 15
we require value of a..
Insuff
A
