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# If x is equal to 49.5 percent of 11/23 of 0.996, then

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If x is equal to 49.5 percent of 11/23 of 0.996, then [#permalink]  07 Jun 2017, 01:45
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Question Stats:

85% (01:31) correct 14% (01:11) wrong based on 27 sessions

If x is equal to 49.5 percent of $$\frac{11}{23}$$ of 0.996, then

A) 0.20 < x < 0.25

B) 0.25 < x < 0.30

C) 0.30 < x < 0.35

D) 0.35 < x < 0.40

E) 0.40 < x < 0.45
[Reveal] Spoiler: OA

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Re: If x is equal to 49.5 percent of 11/23 of 0.996, then [#permalink]  27 Jun 2017, 13:09
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Expert's post
Carcass wrote:

If x is equal to 49.5 percent of 11/23 of 0.996, then

A) 0.20 < x < 0.25

B) 0.25 < x < 0.30

C) 0.30 < x < 0.35

D) 0.35 < x < 0.40

E) 0.40 < x < 0.45

Given: x = 49.5 percent of 11/23 of 0.996
In other words, x = (49.5/100)(11/23)(0.996)

Notice that 49.5/100 is a little bit less than 0.5
And 11/23 is a bit less than 0.5. Aside: we know this because 11/22 = 0.5, so 11/23 is a bit less than 0.5
And 0.996 is a bit less than 1

So, x = (little bit less than 0.5)(bit less than 0.5)(a bit less than 1)
We know that (0.5)(0.5)(1) = 0.25
So, (little bit less than 0.5)(bit less than 0.5)(a bit less than 1) = a bit less than 0.25

[Reveal] Spoiler:
A

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: If x is equal to 49.5 percent of 11/23 of 0.996, then [#permalink]  31 Jan 2018, 00:23
1
KUDOS
Working from the last part of the math.
x= 0.495*(11/23)*0.996 = 0.236
which is clearly in range A.
Target Test Prep Representative
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Re: If x is equal to 49.5 percent of 11/23 of 0.996, then [#permalink]  25 Jul 2018, 16:49
1
KUDOS
Expert's post
Carcass wrote:

If x is equal to 49.5 percent of $$\frac{11}{23}$$ of 0.996, then

A) 0.20 < x < 0.25

B) 0.25 < x < 0.30

C) 0.30 < x < 0.35

D) 0.35 < x < 0.40

E) 0.40 < x < 0.45

We can solve this problem through estimation.

x = 0.495 * 11/23 * 0.996 ≈ 0.5 * 0.5 * 1 = 0.25

We see that x is approximately 0.25; however, since the actual numbers are less than their respective estimated numbers, the actual product is less than 0.25.

_________________

Jeffery Miller

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Re: If x is equal to 49.5 percent of 11/23 of 0.996, then   [#permalink] 25 Jul 2018, 16:49
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