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20 Apr 2023, 13:44
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
88% (00:40) correct
13%
(00:52)
wrong
based on 48
sessions
History
Date
Time
Result
Not Attempted Yet
Is the integer n even?
(1) n is divisible by 4.
(2) n is divisible by 6.
(1) n is divisible by 4.
(2) n is divisible by 6.
20 Apr 2023, 20:06
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steps to follow-
what do we need to find out?
is integer n even?
what do we know?
n is integer
what else do we need to know?
value of n ?
statement I: n is divisible by 4.
It means, n must be of the form 4k (where K is any integer)
n=\(2^2\)*k (even: power of prime factor 2 is atleast 2 here)
statement I is sufficient.
statement II: n is divisible by 6.
It means, n must be of the form 6k (where K is any integer)
n=\(2^1*3^1\)k (even: power of prime factor 2 is atleast 1 here)
statement 2 is sufficient.
each statement alone is sufficient.
what do we need to find out?
is integer n even?
what do we know?
n is integer
what else do we need to know?
value of n ?
statement I: n is divisible by 4.
It means, n must be of the form 4k (where K is any integer)
n=\(2^2\)*k (even: power of prime factor 2 is atleast 2 here)
statement I is sufficient.
statement II: n is divisible by 6.
It means, n must be of the form 6k (where K is any integer)
n=\(2^1*3^1\)k (even: power of prime factor 2 is atleast 1 here)
statement 2 is sufficient.
each statement alone is sufficient.
21 Apr 2023, 04:26
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Asked: Is the integer n even?
(1) n is divisible by 4.
n is divisible by 2*2 = 4;
n is divisible by 2
n is even
SUFFICIENT
(2) n is divisible by 6.
n is divisible by 2*3 = 6;
n is divisible by 2
n is even
SUFFICIENT
IMO D
(1) n is divisible by 4.
n is divisible by 2*2 = 4;
n is divisible by 2
n is even
SUFFICIENT
(2) n is divisible by 6.
n is divisible by 2*3 = 6;
n is divisible by 2
n is even
SUFFICIENT
IMO D
