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If x is a non-zero integer and 0 < y < 1, which of the following must

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Bunuel
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If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink] New post   31 Aug 2018, 00:03
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If x is a non-zero integer and \(0 < y < 1\), which of the following must be greater than 1?


(A) \(x\)

(B) \(\frac{x}{y}\)

(C) \(xy^2\)

(D) \(x^2y\)

(E) \(\frac{x^2}{y}\)
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E
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Re: If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink] New post   31 Aug 2018, 00:21
X can be negative or positive integer.

Since Y is a decimal.

Only E will be greater than 1.

E is the answer.

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Re: If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink] New post   31 Aug 2018, 00:40
Bunuel wrote:
If x is a non-zero integer and \(0 < y < 1\), which of the following must be greater than 1?


(A) \(x\)

(B) \(\frac{x}{y}\)

(C) \(xy^2\)

(D) \(x^2y\)

(E) \(\frac{x^2}{y}\)


x can be a -ve integer
that rules out answer choice A ,B ,C
for D let x=-1

for E let x = -1 and y = largest possible value
we have
1/0.9 = 10/9 > 1

So the answer should be E
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Re: If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink] New post   31 Aug 2018, 01:17
Bunuel wrote:
If x is a non-zero integer and \(0 < y < 1\), which of the following must be greater than 1?


(A) \(x\)

(B) \(\frac{x}{y}\)

(C) \(xy^2\)

(D) \(x^2y\)

(E) \(\frac{x^2}{y}\)



A. x, it could be <0. DISCARD
B. \(\frac{x}{y}\), it could be <0. DISCARD
C \(xy^2\), it could be <0. DISCARD
D. \(x^2y\), it could be <1 when \(x^2=1\). DISCARD
E. \(\frac{x^2}{y}\)>1 , since \(x^2\geq{1}\) and y is a fraction, so division will yield a value greater than 1.

Ans. (E)
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Re: If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink] New post   04 Sep 2018, 12:24
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Bunuel wrote:
If x is a non-zero integer and \(0 < y < 1\), which of the following must be greater than 1?


(A) \(x\)

(B) \(\frac{x}{y}\)

(C) \(xy^2\)

(D) \(x^2y\)

(E) \(\frac{x^2}{y}\)


We are given that x is an integer and that y is a decimal between 0 and 1.

We know that a positive integer divided by a decimal value between 0 and 1 will be greater than 1. However, x can be either a positive or a negative integer, so answer choices A, B, and C can be eliminated. We see that x^2 will always be a positive integer, so x^2/y will always be greater than 1.

Answer: E
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Re: If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink] New post   04 Sep 2018, 13:38
Bunuel wrote:
If x is a non-zero integer and \(0 < y < 1\), which of the following must be greater than 1?


(A) \(x\)

(B) \(\frac{x}{y}\)

(C) \(xy^2\)

(D) \(x^2y\)

(E) \(\frac{x^2}{y}\)



y is a fraction. Note: x could be negative or positive but non-zero integer.

When we divide a positive number by fraction, the number becomes even bigger.

we are looking for a value greater than 1.

x has to positive

Option E.
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Re: If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink] New post   13 Nov 2021, 11:15
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Re: If x is a non-zero integer and 0 < y < 1, which of the following must [#permalink]
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