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If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value

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If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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New post 08 Nov 2016, 23:01
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Senior Manager
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Joined: 06 Jun 2016
Posts: 263
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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New post 09 Nov 2016, 00:12
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Bunuel wrote:
If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value of 3/(x·y)?

A. 1/3
B. 0.6
C. 0.9
D. 1
E. 3



IMO D
for greatest possible value of 3/(x·y), x and y should be made minimum
minimum value of x is 15 and minimum value of y is 0.2
so greatest possible value of 3/(15*0.2)= 1
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 [#permalink]

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New post 09 Nov 2016, 01:24
Bunuel wrote:
If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value of 3/(x·y)?

A. 1/3
B. 0.6
C. 0.9
D. 1
E. 3



To find the minimum possible value of a fraction, we need to either maximize the numerator or minimize the denominator.

In our case here, we can not maximize the numerator (already fixed at 3), so minimizing the denominator, that is pick the lowest values for x and y.

x=15 & y=0.2 => 3/(15*0.2)=1 thus D.
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Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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New post 09 Nov 2016, 07:21
Bunuel wrote:
If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value of 3/(x·y)?

A. 1/3
B. 0.6
C. 0.9
D. 1
E. 3


Greatest value will be \(\frac{3}{(15*0.20)} = 1\)

Hence, answer will definitely be (D) 1
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If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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New post 27 Nov 2016, 07:55
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Abhishek009 wrote:
Bunuel wrote:
If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value of 3/(x·y)?

A. 1/3
B. 0.6
C. 0.9
D. 1
E. 3


Greatest value will be \(\frac{3}{(15*0.20)} = 1\)

Hence, answer will definitely be (D) 1

Ah! I spent ten minutes on this and then realized that the question says x*y and not x-y! :roll:
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Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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New post 21 Apr 2017, 10:40
How to pick the right value please guide I spend 2 min approx still failed to get the right although i understand what people explained but how to tackle such questions?
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Got Q42,V17
Target#01 Q45,V20--April End

Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value   [#permalink] 21 Apr 2017, 10:40
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If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value

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