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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:
35%
(medium)
Question Stats:
69% (01:48) correct
31%
(02:03)
wrong
based on 569
sessions
History
Date
Time
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Not Attempted Yet
What is the sum of the digits of the positive integer n where n < 99?
(1) n is divisible by the square of the prime number y.
(2) y^4 is a two-digit odd integer.
OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-sum-of-the-digits-of-the-positive-integer-n-104241.html
(1) n is divisible by the square of the prime number y.
(2) y^4 is a two-digit odd integer.
OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-sum-of-the-digits-of-the-positive-integer-n-104241.html
05 Sep 2014, 22:02
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What is the sum of the digits of the positive integer n where n < 99?
(1) n is divisible by the square of the prime number y --> clearly insufficient, as no info about y.
2) y^4 is a two-digit odd integer --> also insufficient, as no info about n, but from this statement we know that if y is an integer then y=3 (y must be odd in order y^4 to be odd and it cannot be less than 3 or more than 3 since 1^4 and 5^4 are not two digit numbers).
(1)+(2) Since from (1) y=integer then from (2) y=3, so n is divisible by 3^2=9. Number to be divisible by 9 sum of its digits must be multiple of 9, as n is two-digit number <99 then the sum of its digits must be 9 (18, 27, 36, ..., 90.). Suffiicient.
Answer: C.
OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-sum-of-the-digits-of-the-positive-integer-n-104241.html
(1) n is divisible by the square of the prime number y --> clearly insufficient, as no info about y.
2) y^4 is a two-digit odd integer --> also insufficient, as no info about n, but from this statement we know that if y is an integer then y=3 (y must be odd in order y^4 to be odd and it cannot be less than 3 or more than 3 since 1^4 and 5^4 are not two digit numbers).
(1)+(2) Since from (1) y=integer then from (2) y=3, so n is divisible by 3^2=9. Number to be divisible by 9 sum of its digits must be multiple of 9, as n is two-digit number <99 then the sum of its digits must be 9 (18, 27, 36, ..., 90.). Suffiicient.
Answer: C.
OPEN DISCUSSION OF THIS QUESTION IS HERE: what-is-the-sum-of-the-digits-of-the-positive-integer-n-104241.html
General Discussion
26 Jul 2008, 00:51
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GMBA85
If it is y^4
then the answer is C.
Combining both the statements we get y = 3
This implies that N has to be divisible by 9. All 2 digit factors of 9 have the sum of their digits as 9.
