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03 Jun 2018, 11:21
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B
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Difficulty:
25%
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Question Stats:
72% (01:14) correct
28%
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wrong
based on 158
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Is integer x divisible by 3?
(1) When x is divided by 5, the remainder is 1.
(2) When x is divided by 15, the remainder is 1.
(1) When x is divided by 5, the remainder is 1.
(2) When x is divided by 15, the remainder is 1.
03 Jun 2018, 11:34
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Bunuel
Ans: B
stat:1: not Suffi. for example 6 is divisible by 3 but 11 not.
State: 2 as 15 is a multiple of 3 it is divisible but when we add 1 to it it is not divisible by 3.
Ans: B
03 Jun 2018, 22:53
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Bunuel
Question stem:-
Integer x is divisible by 3 or not. We can re-write the stem as "Is Rem(x/3)=0? (Y/N)
Statement(1): Rem(x/5)=1
So, x= 1, 6,11, 16, 21, 26, 31...
Now Rem(x/3)=0 when x=6,21; so x is divisible by 3. Answer to the question stem is Yes.
\(Rem(x/3)\neq{0}\) when x=1,11,16,26,31 etc; so x is not divisible by 3. Answer to the question stem is No.
hence St(1) is not sufficient.
Statement(2): Rem(x/15)=1
So, x= 1, 16, 31,46,61,76...
Now \(Rem(x/3)\neq{0}\) for all the values of x; so x is not divisible by 3. Answer to the question stem is No.
hence St(2) is sufficient.
Correct answer choice B.
