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# What is the value of (4a + 5)/a when rounded to the nearest integer?

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Math Expert
Joined: 02 Sep 2009
Posts: 46284
What is the value of (4a + 5)/a when rounded to the nearest integer? [#permalink]

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19 Sep 2017, 01:29
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Difficulty:

45% (medium)

Question Stats:

65% (01:05) correct 35% (01:08) wrong based on 47 sessions

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What is the value of $$\frac{4a + 5}{a}$$ when rounded to the nearest integer?

(1) a > 10
(2) 20 > a > 0

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Joined: 18 Aug 2016
Posts: 634
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: What is the value of (4a + 5)/a when rounded to the nearest integer? [#permalink]

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19 Sep 2017, 02:16
1
Bunuel wrote:
What is the value of $$\frac{4a + 5}{a}$$ when rounded to the nearest integer?

(1) a > 10
(2) 20 > a > 0

(4a + 5)/a
4 + 5/a

(1) if a>10 then 5/a will always be less than 1/2 hence m will always be 4
Sufficient

(2) if a is between 0 and 20 then m will take
5 when a is between 5 and 10
5 when a is 5
4 when a is between 10 and 20
...

not sufficient

A
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What is the value of (4a + 5)/a when rounded to the nearest integer? [#permalink]

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19 Sep 2017, 10:27
1
Bunuel wrote:
What is the value of $$\frac{4a + 5}{a}$$ when rounded to the nearest integer?

(1) a > 10
(2) 20 > a > 0

$$\frac{4a + 5}{a}$$ = 4+$$\frac{5}{a}$$
S1 - a>10
$$\frac{5}{a}$$<0.5
Value of the expression to nearest integer can be found.
S2 - 20 > a > 0
If a>10, $$\frac{5}{a}$$<0.5 and if a=5, $$\frac{5}{a}$$=1; two different answers.
Not sufficient.

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What is the value of (4a + 5)/a when rounded to the nearest integer?   [#permalink] 19 Sep 2017, 10:27
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