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# If *x is defined as the square of one-half of x, what is the

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GMAT Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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If *x is defined as the square of one-half of x, what is the [#permalink]  30 Jul 2018, 09:57
Expert's post
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Question Stats:

75% (00:35) correct 25% (00:00) wrong based on 4 sessions
If $$*x$$ is defined as the square of one-half of x, what is the value of $$\frac{*5}{*3}$$?

[Reveal] Spoiler: OA
$$\frac{25}{9}$$

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4750
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1664 [0], given: 396

Re: If *x is defined as the square of one-half of x, what is the [#permalink]  05 Aug 2018, 15:08
Expert's post
Explanation

The problem introduces two functions as well as the fact that g(m) = 29. First, solve for m:

$$g(m) = m^2 - 7 = 29$$

$$m^2 = 36$$
$$m = 6$$ or $$-6$$

$$h(6) = |3 \times 6| + 2 = |18| + 2 = 18 + 2 = 20$$
$$h(-6) = |3 \times -6| + 2 = |-18| + 2 = 18 + 2 = 20$$

The answer is 20 for either value of m.
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Sandy
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Manager
Joined: 27 Feb 2017
Posts: 182
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Kudos [?]: 45 [0], given: 15

Re: If *x is defined as the square of one-half of x, what is the [#permalink]  05 Aug 2018, 17:01
sandy wrote:
Explanation

The problem introduces two functions as well as the fact that g(m) = 29. First, solve for m:

$$g(m) = m^2 - 7 = 29$$

$$m^2 = 36$$
$$m = 6$$ or $$-6$$

$$h(6) = |3 \times 6| + 2 = |18| + 2 = 18 + 2 = 20$$
$$h(-6) = |3 \times -6| + 2 = |-18| + 2 = 18 + 2 = 20$$

The answer is 20 for either value of m.

Hi! I think you gave the explanation for some other question
Manager
Joined: 27 Feb 2017
Posts: 182
Followers: 0

Kudos [?]: 45 [0], given: 15

Re: If *x is defined as the square of one-half of x, what is the [#permalink]  05 Aug 2018, 17:02
*x= (x/2)^2
That means 5/3= [(5/2)^2]/[(3/2)^2]=25/9
Re: If *x is defined as the square of one-half of x, what is the   [#permalink] 05 Aug 2018, 17:02
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