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q, r, and s are positive numbers; qrs > 12.

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Carcass
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q, r, and s are positive numbers; qrs > 12. [#permalink] New post   03 Oct 2018, 22:36
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q, r, and s are positive numbers; \(qrs > 12\).

Quantity A
Quantity B
\(\frac{qr}{5}\)
\(\frac{3}{s}\)


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
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D
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pranab223
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Re: q, r, and s are positive numbers; qrs > 12. [#permalink] New post   04 Oct 2018, 04:18
1
Carcass wrote:
q, r, and s are positive numbers; \(qrs > 12\).

Quantity A
Quantity B
\(\frac{qr}{5}\)
\(\frac{3}{s}\)


Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.


We can dashed straight to option D,

Because we are given qrs>12

but we donot know the individual quantity

Case 1:

q = r = 1 and s= 12

Case 2:

q = 12, r= 1 and s = 1

Since all are positive numbers we can have numerous possibility

Hence option D
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Re: q, r, and s are positive numbers; qrs > 12. [#permalink] New post   08 Oct 2018, 16:55
1
Multiply Quantity A and Quantity B by s - cancel out s on Quant. B

Quant A:

qrs/5

Quant B:

3

Multiply Quant A and Quant B by 5

Quant A:

qrs

Quant B:

15

Given qrs>12 and Quant B = 15:

If QRS = 13, then Quant A < Quant B

If QRS = 15, then Quant A = Quant B

If QRS = 16, then Quant A > Quant B

D is the correct choice.
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witamar
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Re: q, r, and s are positive numbers; qrs > 12. [#permalink] New post   16 Apr 2022, 04:58
Cleary D. Why?

A = QR/5

QRS > 12, therefore, QR>12/S.

A > 12/S x 1/5

A > 2,4/s B = 3/s

Clearly D
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gmatclubot
Re: q, r, and s are positive numbers; qrs > 12. [#permalink]
16 Apr 2022, 04:58
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