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01 Oct 2025, 09:19
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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:
35%
(medium)
Question Stats:
56% (01:03) correct
43% (01:20) wrong based on 30 sessions
History
Date
Time
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How many whole numbers between 100 and 200 are not equal to the square of another integer?
A. 92
B. 93
C. 94
D. 95
E. 96
A. 92
B. 93
C. 94
D. 95
E. 96
02 Oct 2025, 08:44
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Considering the question is asking exclusively.
Whole numbers between 100 & 200 (Exclusive) = 199-101+1=99
Squares of another integer between 100 &200 = 121, 144,169,196 = 4
Required= 99-4=95
D
Whole numbers between 100 & 200 (Exclusive) = 199-101+1=99
Squares of another integer between 100 &200 = 121, 144,169,196 = 4
Required= 99-4=95
D
04 Oct 2025, 05:49
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Official Explanation
The whole numbers between 100 and 200 consist of 101, 102, 103 ... 199, and thus include 99 numbers. Of these, four numbers are equal to the square of another integer: 121, 144, 169, and 196, because \(121 = 11^2, 144 = 12^2, 169 = 13^2,\) and \(196 = 14^2.\) Notice that \(10^2 = 100\) and \(15^2 = 225\) fall outside the specified range. This leaves \(99 – 4 = 95\) whole numbers that are not the square of an integer.
Answer: D
The whole numbers between 100 and 200 consist of 101, 102, 103 ... 199, and thus include 99 numbers. Of these, four numbers are equal to the square of another integer: 121, 144, 169, and 196, because \(121 = 11^2, 144 = 12^2, 169 = 13^2,\) and \(196 = 14^2.\) Notice that \(10^2 = 100\) and \(15^2 = 225\) fall outside the specified range. This leaves \(99 – 4 = 95\) whole numbers that are not the square of an integer.
Answer: D
