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26 May 2021, 04:00
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:46) correct
11%
(00:51)
wrong
based on 64
sessions
History
Date
Time
Result
Not Attempted Yet
Is integer x divisible by 21?
(1) x is divisible by 14.
(2) x is divisible by 12.
(1) x is divisible by 14.
(2) x is divisible by 12.
29 May 2021, 06:30
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Is integer x divisible by 21?
(1) x is divisible by 14 --> if x=42, then YES but if x=14, then NO. Not sufficient.
(2) x is divisible by 12 --> if x=84, then YES but if x=12, then NO. Not sufficient.
(1)+(2) From (1) x is divisible by 7 and from (2) x is divisible by 3, thus x must be divisible by the least common multiple of 7 and 3, which is 21. Sufficient.
Answer: C.
Hope it's clear.
(1) x is divisible by 14 --> if x=42, then YES but if x=14, then NO. Not sufficient.
(2) x is divisible by 12 --> if x=84, then YES but if x=12, then NO. Not sufficient.
(1)+(2) From (1) x is divisible by 7 and from (2) x is divisible by 3, thus x must be divisible by the least common multiple of 7 and 3, which is 21. Sufficient.
Answer: C.
Hope it's clear.
29 May 2021, 09:43
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Is integer x divisible by 21?
(1) x is divisible by 14.
(2) x is divisible by 12.
Solution:
Statement 1: x is divisible by 14.
Statement 2: x is divisible by 12.
Combining Statement 1 and Statement 2:
From Statement 1: x is divisible by 14.
From Statement 1: x is divisible by 12.
Then, x = LCM (14, 12) = 84, which is divisible by 21.
Hence, the correct answer is Option C.
(1) x is divisible by 14.
(2) x is divisible by 12.
Solution:
- • Given, x is an integer.
Statement 1: x is divisible by 14.
- • Then, x can take values - 14, 28, 42, 56, 70, 84, ……….
- o If x = 14, then x is not divisible by 21
- o If x = 42, then x is divisible by 21
Statement 2: x is divisible by 12.
- • Then, x can take values - 12, 24, 36, 48, 60, 72, 84, ……….
- o If x = 12, then x is not divisible by 21
- o If x = 84, then x is divisible by 21
Combining Statement 1 and Statement 2:
From Statement 1: x is divisible by 14.
From Statement 1: x is divisible by 12.
Then, x = LCM (14, 12) = 84, which is divisible by 21.
Hence, the correct answer is Option C.
