[GMAT math practice question]
N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?
A. -1
B. 0
C. 1
D. 2
E. 3 $$$$ $$$$
N is the 36th prime number. N has remainder 1 when it is div
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- Max@Math Revolution
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Last edited by Max@Math Revolution on Wed Jul 04, 2018 2:32 pm, edited 2 times in total.
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The 36th prime number must be ODD.Max@Math Revolution wrote:[GMAT math practice question]
N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?
A. -1
B. 0
C. 1
D. 2
E. 3
When an odd number is divided by 2, the remainder is 1.
The correct answer is C.
A remainder must be a nonnegative integer.
If this problem were to appear on the GMAT, option A -- a negative integer -- would not be offered as an answer choice.
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- Max@Math Revolution
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All prime numbers but 2 are odd integers.
Thus, the remainder when N is divided by 2 is 1.
Therefore, the answer is C.
Answer: C
All prime numbers but 2 are odd integers.
Thus, the remainder when N is divided by 2 is 1.
Therefore, the answer is C.
Answer: C
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Since the 36th prime number must be odd, when divided by 2, the remainder is 1.Max@Math Revolution wrote:[GMAT math practice question]
N is the 36th prime number. N has remainder 1 when it is divided by 3 and it has remainder 1 when it is divided by 5. What is the remainder when N is divided by 2?
A. -1
B. 0
C. 1
D. 2
E. 3
Answer: C
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