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# If 3 < x < 8 and 5 < y < II, which of the following represen

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If 3 < x < 8 and 5 < y < II, which of the following represen [#permalink]  12 Jun 2018, 04:19
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If $$3 < x < 8$$ and $$5 < y < 11$$, which of the following represents all the possible values of xy ?

(A) $$3 < xy < 11$$

(B) $$8 < xy < 19$$

(C) $$15 < xy < 88$$

(D) $$24 < xy < 55$$

(E) $$33 < xy < 40$$
[Reveal] Spoiler: OA

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Joined: 20 Apr 2016
Posts: 761
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Kudos [?]: 517 [1] , given: 94

Re: If 3 < x < 8 and 5 < y < II, which of the following represen [#permalink]  02 Jul 2018, 21:12
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Carcass wrote:
If $$3 < x < 8$$ and $$5 < y < 11$$, which of the following represents all the possible values of xy ?

(A) $$3 < xy < 11$$

(B) $$8 < xy < 19$$

(C) $$15 < xy < 88$$

(D) $$24 < xy < 55$$

(E) $$33 < xy < 40$$

Now from the inequality we see that minimum value of x > 3 and minimum value of y >5

Hence the minimum value of xy > 15

Similarly we see that maximum value of x < 8 and minimum value of y < 11

Hence the minimum value of xy < 88

So only option C fulfills the inequality i.e $$15 < xy < 88$$
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Re: If 3 < x < 8 and 5 < y < II, which of the following represen [#permalink]  09 Jul 2018, 18:34
Carcass wrote:
If $$3 < x < 8$$ and $$5 < y < 11$$, which of the following represents all the possible values of xy ?

(A) $$3 < xy < 11$$

(B) $$8 < xy < 19$$

(C) $$15 < xy < 88$$

(D) $$24 < xy < 55$$

(E) $$33 < xy < 40$$

Re: If 3 < x < 8 and 5 < y < II, which of the following represen   [#permalink] 09 Jul 2018, 18:34
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