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If x is equal to one of the numbers 1/4, 3/8, or 2/5, what is the valu

Bunuel

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If x is equal to one of the numbers 1/4, 3/8, or 2/5, what is the valu [#permalink]

24 Sep 2018, 07:31

1

Kudos

15

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Expert Reply

00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

80% (01:46) correct

20% (01:40) wrong

based on 1359 sessions

Hide Show timer Statistics

If x is equal to one of the numbers \(\frac{1}{4}\), \(\frac{3}{8}\), or \(\frac{2}{5}\), what is the value of x?

(1) \(\frac{1}{4} < x < \frac{1}{2}\)

(2) \(\frac{1}{3} < x < \frac{3}{5}\)

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u1983

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Re: If x is equal to one of the numbers 1/4, 3/8, or 2/5, what is the valu [#permalink]

24 Sep 2018, 07:42

1

Kudos

Bunuel wrote:

If x is equal to one of the numbers \(\frac{1}{4}\), \(\frac{3}{8}\), or \(\frac{2}{5}\), what is the value of x?

(1) \(\frac{1}{4} < x < \frac{1}{2}\)

(2) \(\frac{1}{3} < x < \frac{3}{5}\)

\(\frac{1}{4}\), \(\frac{3}{8}\), or \(\frac{2}{5}\) =====> \(0.250\), \(0.375\), or \(0.400\)

(1) \(\frac{1}{4} < x < \frac{1}{2}\) ====> (1) \(0.250 < x < 0.500\)
x could be \(\frac{3}{8}\), or \(\frac{2}{5}\)...........................NS

(2) \(\frac{1}{3} < x < \frac{3}{5}\) =====> (2) \(]0.333 < x <0.600\)
x could be \(\frac{3}{8}\), or \(\frac{2}{5}\)...........................NS

(1) +(2) ==>\(\frac{1}{3} < x < \frac{1}{2}\) ==> \(0.333 < x < 0.500\)
x could be \(\frac{3}{8}\), or \(\frac{2}{5}\)...........................NS..................Answer E
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Re: If x is equal to one of the numbers 1/4, 3/8, or 2/5, what is the valu [#permalink]

01 May 2019, 01:44

4

Kudos

Best approach is to compare with 120*x instead of x( 120 is LCM of 3,4,5,and 8)

New question is 120x = 30,45 or 48

Insufficient

~~Cross off A and D~~

Insufficient

~~Cross B~~

1+2 is also Insufficient, Cross C

Hence, the answer is E

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Re: If x is equal to one of the numbers 1/4, 3/8, or 2/5, what is the valu [#permalink]

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Re: If x is equal to one of the numbers 1/4, 3/8, or 2/5, what is the valu [#permalink]

16 Oct 2022, 04:41

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