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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: 51280
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
00:00

Difficulty:

45% (medium)

Question Stats:

66% (01:29) correct 34% (02:08) wrong based on 254 sessions

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If $$15 ≤ x ≤ 25$$, and $$0.2 ≤ y ≤ 0.6$$, what is the greatest possible value of $$\frac{3}{xy}$$?

A. 1/3

B. 0.6

C. 0.9

D. 1

E. 3

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Senior Manager
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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
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: 33
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, 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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Thanks and Regards

Abhishek....

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Joined: 11 Jan 2016
Posts: 32
Re: 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
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: 204
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

Intern
Joined: 06 Mar 2018
Posts: 36
Location: India
GRE 1: Q160 V150
GPA: 2.7
Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value  [#permalink]

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03 Aug 2018, 02:51
it looks like x-y instead of xy
Math Expert
Joined: 02 Sep 2009
Posts: 51280
Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value  [#permalink]

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03 Aug 2018, 02:57
prags1989 wrote:
it looks like x-y instead of xy

Edited. Hope now it's fine.
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Re: If 15 ≤ x ≤ 25, and 0.2 ≤ y ≤ 0.6, what is the greatest possible value &nbs [#permalink] 03 Aug 2018, 02:57
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