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04 May 2022, 01:30
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When positive integer n is divided by 7, the remainder is 2. What is the value of n?
(1) n is less than 20.
(2) When n is divided by 8, the remainder is 0.
(1) n is less than 20.
(2) When n is divided by 8, the remainder is 0.
04 May 2022, 07:32
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When n is divided by 7, the remainder is 2.
Statement 1 tells us that n is less than 20. Therefore n can be 9 or 16. Inconclusive.
Statement 2 tells us that n is a multiple of 8. Since there is no upper bound, n can be 16, 72, any other number which is a multiple of 56 greater than 16. Inconclusive.
Using 1 and 2 together, we see only 16 is a possible option. Therefore, choice should be C.
Statement 1 tells us that n is less than 20. Therefore n can be 9 or 16. Inconclusive.
Statement 2 tells us that n is a multiple of 8. Since there is no upper bound, n can be 16, 72, any other number which is a multiple of 56 greater than 16. Inconclusive.
Using 1 and 2 together, we see only 16 is a possible option. Therefore, choice should be C.
04 May 2022, 11:01
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Pre-thinking
n can be 2, 9, 16, 23, ...
(1) Only
n can be 2, 9, 16
Not sufficient
(2) Only
n can be 16
and n can be 16 + 56 = 72 (56 is LCM of 7 and 8)
Not sufficient
(1)(2) together
n is 16
Sufficient.
The answer is thus (C).
n can be 2, 9, 16, 23, ...
(1) Only
n can be 2, 9, 16
Not sufficient
(2) Only
n can be 16
and n can be 16 + 56 = 72 (56 is LCM of 7 and 8)
Not sufficient
(1)(2) together
n is 16
Sufficient.
The answer is thus (C).
