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

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Math Expert
Joined: 02 Sep 2009
Posts: 43828
If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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08 Nov 2016, 23:01
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55% (hard)

Question Stats:

58% (01:05) correct 42% (01:55) wrong based on 168 sessions

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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
[Reveal] Spoiler: OA

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Senior Manager
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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09 Nov 2016, 00:12
1
KUDOS
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
Intern
Joined: 23 Oct 2016
Posts: 34

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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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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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Abhishek....

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Intern
Joined: 11 Jan 2016
Posts: 32
If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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27 Nov 2016, 07:55
1
KUDOS
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!
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Joined: 08 Oct 2016
Posts: 207
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)
Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value [#permalink]

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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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