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19 Jan 2016, 09:38
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
20% (02:00) correct
80%
(01:49)
wrong
based on 127
sessions
History
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Is n the square of an integer?
Statement 1: 4n is the square of an integer
Statement 2: n^3 is the square of an integer
Statement 1: 4n is the square of an integer
Statement 2: n^3 is the square of an integer
19 Jan 2016, 09:39
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GMATinsight
Question : Is n the square of an integer?
Statement 1: 4n is the square of an integer
for n = 1/4, 4n = 1 which is square of Integer but n is not square of an Integer (NO)
for n = 1, 4n = 4 which is square of Integer and n also is square of an Integer (YES)
NOT SUFFICIENT
Statement 2: n^3 is the square of an integer
for n^3 = 4, n = cube root of 4 which not square of an Integer (NO)
for n^3 = 1, n = 1 which is square of Integer(YES)
NOT SUFFICIENT
Combining the two statements
4n is square of an Integer and n^3 also is square of an Integer which is possible only when n is an Integer and also a perfect square
e.g. n=4, n^3=64, 4n=16 all Squares of Integers
e.g. n=1, n^3=1, 4n=4 all Squares of Integers
SUFFICIENT
Answer: option
08 Dec 2016, 01:39
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Given,
Statement 1: 4n is the square of an integer. there are many to satisfy this statement.
n=1, 4n=4
n=4, 4n=16
n=9, 4n=36........... Not Sufficient
Statement 2: n^3 is the square of an integer
n=4, n^3 = 4^3 = 64 (square of 8)
n=9, n^3 = 9^3 = 729 (square of 27)............. Not sufficient
Taking both the options, we can prove that values of n = 4 and 9 satisfy both the equations and both are square of integers.
Answer C.
Statement 1: 4n is the square of an integer. there are many to satisfy this statement.
n=1, 4n=4
n=4, 4n=16
n=9, 4n=36........... Not Sufficient
Statement 2: n^3 is the square of an integer
n=4, n^3 = 4^3 = 64 (square of 8)
n=9, n^3 = 9^3 = 729 (square of 27)............. Not sufficient
Taking both the options, we can prove that values of n = 4 and 9 satisfy both the equations and both are square of integers.
Answer C.
