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Retired Moderator
Joined: 16 Apr 2020
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x is an integer such that, 441 < x^2 ≤ 1089
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26 Aug 2021, 01:37
26 Aug 2021, 01:37
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\(x\) is an integer such that, \(441 < x^2 ≤ 1089\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Sum of all possible values of \(x\) |
\(330\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: x is an integer such that, 441 < x^2 ≤ 1089
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26 Aug 2021, 20:39
26 Aug 2021, 20:39
1
KarunMendiratta wrote:
\(x\) is an integer such that, \(441 < x^2 ≤ 1089\)
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Sum of all possible values of \(x\) |
\(330\) |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
\(441 < x^2 ≤ 1089\)
We know, \((21)^2 < x^2 ≤ (33)^2\)
So, \(21 < x ≤ 33\)
But wait, why are we just considering the +ve values of \(x\)?
It could be \((-21)^2 < x^2 ≤ (-33)^2\) too!
So, We have to consider both +ve and -ve values
i.e. \((±21)^2 < x^2 ≤ (±33)^2\)
Now, Sum of values through 22 to 33 is 330 and Sum of values through -22 to -33 is -330
Col. A: \(0\)
Col. B: \(330\)
Hence, otpion B
Re: x is an integer such that, 441 < x^2 1089
[#permalink]
11 Sep 2024, 07:26
11 Sep 2024, 07:26
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