Is x 0.05? (1) x 3/40 (2) x is greater than 3 percent of 50

Question

Is x > 0.05?

(1) x > 3/40
(2) x is greater than 3 percent of 50

Azedenkae · Answer

This question is a matter of conversion. Easiest is probably to convert it all to decimal places.

In (1), x > 3/40, i.e. x > 3*2.5/100 <=> x > 7.5/100 <=> x > 0.075
In (2), x > 3% of 50 <=> x > 1.5% of 100 <=> x > 1.5

As such, statements (1) and (2) are both sufficient by themselves. Because well, both 0.075 and 1.5 are greater than 0.05. So the answer is D.

KSBGC · Answer

we are asked to find out whether x>0.05.

statement 1:

x> 3/40
x> 0.075

So, surely x > 0.05

Statement 2:

x > 3% of 50
x> (3/100)*50
x> 1.5

clearly x> 0.05.

Thus the best answer is D.

PKN · Answer

Re-phrasing question stem:-Is x>  \frac{1}{20}  ?

St1:-  x >\frac{3}{40} 
 Or, x> \frac{3}{2}* \frac{1}{20} 
 or,  x>1.5* \frac{1}{20} 
Hence Is x>  \frac{1}{20} ? Yes

St1 is sufficient.

St2:- x is greater than 3 percent of 50
 Or,  x> \frac{3}{100} *50 
 Or.  x>3*\frac{1}{2} 
 Or,  x>30*\frac{1}{20} 
Hence Is x>  \frac{1}{20} ? Yes

St2 is sufficient.

Ans. (D)

EgmatQuantExpert · Answer

Solution

To find:  
 • Is x > 0.05

Analysing Statement 1  
 • As per the information given in statement 1,  x > \frac{3}{40} 
 o The decimal equivalent of  \frac{3}{40} = 0.075  
• If x > 0.075, then x is definitely greater than 0.05

Hence, statement 1 is sufficient to answer

Analysing Statement 2  
 • As per the information given in statement 2, x is greater than 3 percent of 50
 o The value of 3% of 50 =  50 * \frac{3}{100}  = 1.5 
• If x is greater than 1.5, then x is definitely greater than 0.05

Hence, statement 2 is sufficient to answer

Hence, the correct answer is option D.

Answer: D

SpyrosGkikopoulos · Answer

In those types of questions i do not prefer to convert ratios because it consumes valuable time. 
In this regard for Stm A: is x>5/100?==> is x>1/20?==> is x>2/40? Ans is Yes because x>3/40

MSIMBA · Answer

Very simple , x > 0.05 ?

A. x > 3/4 = 0.075

B. x = 3% of 50 = \frac{3}{100} *50 = 1.5

Both A & B individually correct ,so answer is D

CrushTheQuant · Answer

On the GMAT you want to be very comfortable with converting decimals into fractions, and vise versa. For most people, it's usually easier to work with fractions

Here's an explanation of this question on YouTube:

https://gmatclub.com/forum/is-x-0-05-1- ... 67604.html

bumpbot · Answer

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Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50

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