If x

Question

If x<8/5, which of the following could be greater than 1?

I. 60 percent of x 
 II. 0.125 times 2x 
 III. 1/x percent of 16x

A. None
B. I only
C. II only 
D. III only
E. I and III

chetan2u · Answer

Her we have to check each option.

1. 60% of x
X<8/5 or 60% of x < 60% of 8/5 = 0.6*1.6 =0.96……cannot be greater than 1

2. 0.125 times 2x
x<8/5 or 2x<2*8/5 or 0.125*2x<0.125*2*1.6=0.25*1.6=0.4….cannot be greater than 1

3. 1/x % of 16x 
1/100x * 16x = 0.16… Again no

None possible

A

Posted from my mobile device

Kinshook · Answer

@delphsanAsked:  If x<8/5, which of the following could be greater than 1?

I. 60 percent of x
60% of x = .6x < .6*8/5 = .96 < 1: Can not be greater than 1. 
 II. 0.125 times 2x
.125*2x = .25x < .25*8/5 = .4 < 1: Can not be greater than 1. 
 III. 1/x percent of 16x
1/100x * 16x = 16/100 = .16 < 1: Can not be greater than 1.

A. None
B. I only
C. II only 
D. III only
E. I and III

IMO A

KarishmaB · Answer

We will check at x = 8/5 for ease.

I. 60 percent of x

60% is 3/5.

\frac{3}{5} * x = \frac{3}{5} * \frac{8}{5} = \frac{24}{25}

If x is less than 8/5, this will become even smaller. Hence it will never be more than 1.

II. 0.125 times 2x

.125 = \frac{1}{8}

\frac{1}{8} * 2x = \frac{1}{8} * 2 * \frac{8}{5} = \frac{2}{5}

If x is less than 8/5, this will become even smaller. Hence it will never be more than 1.

III. 1/x percent of 16x

1/x = 5/8

\frac{5/8}{100} * 16x = \frac{5}{8*100} * 16*\frac{8}{5} = \frac{16}{100}

If x is less than 8/5, this will become even smaller. Hence it will never be more than 1.

Answer (A)

Check the Percentages video here:  https://youtu.be/HxnsYI1Rws8

Bixy34 · Answer

Can someone help me understand what am I doing wrong in the 3rd statement- 1/x% of 16x? Usually whenever I am doing % of something I divide it by 100. So here is what I am doing- (1/x)/100 *16x i.e 100/x *16x. x cancels out- the answer is 1600 which is greater than 1

Bunuel · Answer

(1/x)/100 *16x =

= 1/(100x) * 16x =

= 16/100

ponderare · Answer

how can I be certain, while doing the test, that the text intends (1/x)percent, therefore 1/100x, and not 1/(x percent)=1/(x/100)=100/x? in the second case I would have chosen D.

Bunuel · Answer

“A percent of B” always means (A/100) * B.

So “1/x percent of 16x” means (1/x)% * 16x = (1/x)/100 * 16x.

If it were the way you interpreted it, it would have to been written as "1/(x percent)...".

If x<8/5, which of the following could be greater than 1?

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GMAT Problem Solving (PS) Questions

If x<8/5, which of the following could be greater than 1?

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