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20 Oct 2021, 11:46
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
59% (02:21) correct
41%
(02:04)
wrong
based on 193
sessions
History
Date
Time
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Not Attempted Yet
Which of the following statements contain a number that could be the square of an integer?
I. 922
II.1156
III.1844
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
I. 922
II.1156
III.1844
(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
20 Oct 2021, 12:52
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GMATWhizTeam
Rephrase the question:
Which of the following is a square?
Breaking Down the Info:
I: \(922 = 2*461\). Therefore it is not a square as the factor 2 does not have another partner factor.
II: \(1156 = 1100 + 56 = 4*(11*25 + 14) = 4*289\). We know both 4 and 289 are squares, thus 1156 is a square.
III: \(1844 = 4*(18*25 + 11) = 4*(450 + 11) = 4*461\). From \(20^2 = 400\), we can find the next square is \(21^2 = 400 + 21 + 20 = 441\). Since 461 is too close to 441, it cannot be a square.
Answer: B
20 Oct 2021, 21:53
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I. 922 - The square of an integer never ends with '2' as a unit digit.
II.1156 - \(2^2 * 17^2\) - Perfect square
III.1844 - \(2^2 * 461\) - Not a perfect square
Answer B
II.1156 - \(2^2 * 17^2\) - Perfect square
III.1844 - \(2^2 * 461\) - Not a perfect square
Answer B
