Which of the following most closely approximates

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BTGmoderatorLU: Moderator; Posts: 2547; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Sat Oct 21, 2017 3:20 pm

Which of the following most closely approximates
$$\sqrt{\frac{\left(3.97\right)\left(50.02\right)}{1.84}}=?$$

A. 1
D. 5
C. 10
D. 20
E. 100

Tha OA is C.

Why the answer choices are only integers? I don't understand it. Can any expert help me with this PS question please? Thanks.

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Source: Beat The GMAT — Problem Solving | Sat Oct 21, 2017 3:20 pm

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[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Tue Oct 24, 2017 10:45 am

Hi LUANDATO,

The answer choices are 'spaced out' enough that we can use estimation to get to the correct answer (the prompt also TELLS US to approximate the value of the given calculation). Thus, let's round all of the numbers and calculate...

(4)(50)/(2) = 200/2 = 100

The square root of 100 = 10

Final Answer: C

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pmFollowed by: 12 members; Thanked: 180 times

by EconomistGMATTutor » Wed Oct 25, 2017 2:58 pm

Which of the following most closely approximates
$$\sqrt{\frac{\left(3.97\right)\left(50.02\right)}{1.84}}=?$$

A. 1
D. 5
C. 10
D. 20
E. 100

Tha OA is C.

Why the answer choices are only integers? I don't understand it. Can any expert help me with this PS question please? Thanks.

Hi LUANDATO,
Let's take a look at your question.

$$\sqrt{\frac{\left(3.97\right)\left(50.02\right)}{1.84}}=?$$
Since we are asked to approximate the value of the radical expression given, so let's round off the decimals to simplify.

$$\approx\sqrt{\frac{\left(4\right)\left(50\right)}{2}}$$

$$\approx\sqrt{\frac{200}{2}}$$
$$\approx\sqrt{100}$$
$$\approx10$$

Therefore, Option C is correct.

Hope it helps.
I am available if you'd like any follow up.

GMAT Prep From The Economist
We offer 70+ point score improvement money back guarantee.
Our average student improves 98 points.

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8145; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Wed Nov 20, 2019 5:45 pm

BTGmoderatorLU wrote:Which of the following most closely approximates
$$\sqrt{\frac{\left(3.97\right)\left(50.02\right)}{1.84}}=?$$

A. 1
D. 5
C. 10
D. 20
E. 100

Tha OA is C.

Why the answer choices are only integers? I don't understand it. Can any expert help me with this PS question please? Thanks.

The closest approximation is:

âˆš[(4 * 50)/2]

âˆš(2 * 50)

âˆš100 = 10

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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