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# In the expression above, a, b and c are different numbers and each is

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
In the expression above, a, b and c are different numbers and each is  [#permalink]

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20 Aug 2018, 22:57
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Difficulty:

25% (medium)

Question Stats:

83% (01:28) correct 17% (02:08) wrong based on 52 sessions

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$$\frac{\frac{a}{b} + 1}{\frac{c}{b}}$$

In the expression above, a, b and c are different numbers and each is one of the numbers 2, 3 or 5. What is the greatest possible value of the expression?

A. 8/3

B. 4

C. 9/2

D. 5

E. 6

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Re: In the expression above, a, b and c are different numbers and each is  [#permalink]

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20 Aug 2018, 23:29
Bunuel wrote:
$$\frac{\frac{a}{b} + 1}{\frac{c}{b}}$$

In the expression above, a, b and c are different numbers and each is one of the numbers 2, 3 or 5. What is the greatest possible value of the expression?

A. 8/3

B. 4

C. 9/2

D. 5

E. 6

Simplifying,
$$\frac{\frac{a}{b} + 1}{\frac{c}{b}}$$
= $$(\frac{a+b}{b})*\frac{b}{c}$$
=$$\frac{a+b}{c}$$

Now, we have to find out the maximum value of $$\frac{a+b}{c}$$
So, (a+b) has to be maximum, i.e 5+3=8 & 'c' has to be minimum i.e, c=2

Hence Max($$\frac{a+b}{c}$$)=$$\frac{8}{2}$$=4

Ans. (B)
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Re: In the expression above, a, b and c are different numbers and each is   [#permalink] 20 Aug 2018, 23:29
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