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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: 41892

Kudos [?]: 128888 [0], given: 12183

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:

55% (hard)

Question Stats:

65% (01:01) correct 35% (01:32) wrong based on 30 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
[Reveal] Spoiler: OA

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Kudos [?]: 128888 [0], given: 12183

Director
Joined: 18 Aug 2016
Posts: 511

Kudos [?]: 140 [1], given: 123

GMAT 1: 630 Q47 V29
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
KUDOS
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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Luckisnoexcuse

Kudos [?]: 140 [1], given: 123

Manager
Joined: 25 Nov 2015
Posts: 231

Kudos [?]: 64 [1], given: 240

Location: India
GPA: 3.64
WE: Engineering (Energy and Utilities)
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
KUDOS
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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Kudos [?]: 64 [1], given: 240

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