What is the value, rounded to the nearest integer, of 3a + 4 divided

Question

What is the value, rounded to the nearest integer, of 3a + 4 divided by a ?

(1) a > 8
(2) 10 > a > 7

anurag790 · Answer

FROM statement 1:
1/a < 1/8
4/a<4/8
3+ 4/a < 3+ 4/8
irrespective of the value of a the nearest integer will be 3
sufficient
from statement 2
a = 7.5
3+4/7.5 > 3.5 
so the nearest integer is 4
 a= 8
3+4/8 
nearest integer is 3 
hence, statement 2 is not sufficient

ntdung@inbox.com · Answer

The answer is D,

Since a or b leads to 3

nayanparikh · Answer

From the question stem it follows that 3a+4/a = 3 + 4/a ? 1. a can be any value greater than 8 ie. 9,10,11 etc. Not sufficient 2. 10 >a >7 a=8,9. This again not sufficient. From 1 and 2, it again appears that 8 < a < 10, and it is not mentioned that a is an integer. Hence we cannot have specific value. Hence the correct answer to me seems to be E.

broall · Answer

The question asks what is the value, rounded to the nearest integer , of $\frac{3a+4}{a}=3+\frac{4}{a}$ (1) $a>8 \implies \frac{4}{a}<\frac{4}{8}=0.5$. Hence $3+\frac{4}{a} \approx 3 + 0 = 3$. Sufficient. (2) $7 < a < 10$ If $a=7.5$ then $3+\frac{4}{7.5} > 3 + \frac{4}{8}=3.5$. Hence $3+\frac{4}{a} \approx 4$ If $a=9$ then $3+\frac{4}{9} < 3 + \frac{4}{8}=3.5$. Hence $3+\frac{4}{a} \approx 3$ Insufficient. The answer is A.

sobby · Answer

we can rewrite it as 3a/a +4/a

a. a > 8 = max value of 3 + 4/9 ~ 3.4 , so value is 3
 if we take a= 10 3 + 4/10 ~ 3.4, so value is 3
 for 11 3+ 4/11 --it will also give 3 ...
so for any value of a, the integral value will be 3.
suff

b . we will get 3.5 for a= 8..we can either write 4 or 3 
 a=9 ..integral value will be 3 
so insuff

Answer =A

Gerry20 · Answer

3+4/a
1.) Any value that a takes should be greater than 8 (i.e.) 9,10 and so on which will definitely give values for 3+4/a as lesser than 3.5 and hence the resulting number can be rounded to the nearest integer as 3.-> Sufficient

2.) a can take any value from 7.1 to 9.9 meaning the nearest rounded integer can either be 3 or 4 and hence -> not sufficient.

Answer is A

Jamie007 · Answer

The answer is D,

Since a or b leads to 3[/quote

Can you please explain how you got the answer?

Jamie007 · Answer

When a= 8
3+4/8
 Now the value is 3.5. The nearest integer can be 4 as well i guess. how did you decide?

What is the value, rounded to the nearest integer, of 3a + 4 divided

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards