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Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be

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Bunuel
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Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   26 Jan 2021, 03:00
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E

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Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be the value of xy?

(A) 0
(B) 8
(C) 12
(D) 16
(E) 24
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E
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ashimakumari
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Re: Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   01 Feb 2021, 11:46
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How can option d be made?

16 has 3 possibilities : 1x16, 2x8 and 4x4
None of which are possible

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Re: Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   01 Feb 2021, 11:57
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ashimakumari wrote:
How can option d be made?

16 has 3 possibilities : 1x16, 2x8 and 4x4
None of which are possible

Posted from my mobile device


ashimakumari

Hi,

It can be possible when x=2,5 and y=6,4 which is why they do not mention that x and y have to be integers
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Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   Updated on: 01 Feb 2021, 11:51
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Hi,

Because the maximum value of x is 3 and the maximum value of y is 7 (as y<8), the maximum value of xy is 21. Therefore it cannot be 24

Answer C)
Edit: my bad I wrote answer C) instead of answer E)

Originally posted by Sabby on 27 Jan 2021, 17:25.
Last edited by Sabby on 01 Feb 2021, 11:51, edited 1 time in total.
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Re: Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   26 Jan 2021, 05:15
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Bunuel wrote:
Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be the value of xy?

(A) 0
(B) 8
(C) 12
(D) 16
(E) 24


0 ≤ x ≤ 3 and y < 8

i.e. x*y < 24

i.e. x*y can NOT be equal to 24 hence

Answer: Option E
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Re: Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   15 Oct 2021, 08:17
Option D & E both are could not possible values of xy.

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Re: Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   16 Oct 2021, 20:33
Given that 0 ≤ x ≤ 3, and y < 8,

A. Is true as x can be zero
B. Is true as x*y = 2*4
C. Is true as x*y = 3*4
D. Is true as x*y = 2.5 * 6.4
E. Not true as the maximum value of x is 3 and the maximum value of y is 7 (as y<8), the maximum value of xy is 21
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Re: Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   16 Oct 2021, 22:44
Bunuel wrote:
Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be the value of xy?

(A) 0
(B) 8
(C) 12
(D) 16
(E) 24


Min possible value of x = 0 ; Max possible value of x = 3
Max possible value of y = 7

So, \(0 < xy < 21\)

Now check the options , all the options except (E) falls within the given range, answer must be (E)
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Re: Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be [#permalink] New post   24 Feb 2022, 23:15
Abhishek009 wrote:
Bunuel wrote:
Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be the value of xy?

(A) 0
(B) 8
(C) 12
(D) 16
(E) 24


Min possible value of x = 0 ; Max possible value of x = 3
Max possible value of y = 7

So, \(0 < xy < 21\)

Now check the options , all the options except (E) falls within the given range, answer must be (E)


Range of xy is: 0 < xy < 23.97, since it is not given that x and y are integers.
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Re: Given that 0 x 3, and y < 8, which of the following could NOT be [#permalink] New post   22 May 2023, 09:44
ashimakumari wrote:
How can option d be made?

16 has 3 possibilities : 1x16, 2x8 and 4x4
None of which are possible

Posted from my mobile device


it is not mentioned anywhere that x & y are integeres so consider x=3 and y=16/3 . Therefore, xy = 16
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Re: Given that 0 x 3, and y < 8, which of the following could NOT be [#permalink] New post   07 Jul 2023, 02:55
It's not given that x and y have to be integers. So xy=16 is possible, xy<24 always.
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Re: Given that 0 x 3, and y < 8, which of the following could NOT be [#permalink] New post   23 Jul 2023, 03:12
Since 0 ≤ x ≤ 3, and y < 8 therefore for xy=24, x could be maximum = 3 and y could be =8 but since y cant be equal to 8 therefore xy could not be equal to 24

Hence E
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Re: Given that 0 x 3, and y < 8, which of the following could NOT be [#permalink]
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