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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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Bunuel
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Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  10 Jun 2018, 04:46
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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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Azedenkae
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  10 Jun 2018, 07:01
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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.
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KSBGC
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  10 Jun 2018, 19:35
Bunuel wrote:
Is x > 0.05?

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


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.
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  10 Jun 2018, 21:43
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Bunuel wrote:
Is x > 0.05?

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


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)
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  11 Jun 2018, 06:38
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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
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SpyrosGkikopoulos
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  04 Apr 2019, 06:20
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
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  13 Jun 2019, 07:34
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
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CrushTheQuant
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  08 Nov 2020, 11:18
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
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink] New post  11 Jan 2023, 06:22
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Re: Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50 [#permalink]
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