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swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Tue Sep 15, 2020 6:05 am

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A group of x people is practicing levitation yoga. One-fourth of the people rise up in the air, and after a while, 3 of them come back down. How many people are now practicing yoga on the group?

A. $\dfrac{2}{3}(x+3)$

B. $\dfrac{3}{4}(x+4)$

C. $3(4x+4)$

D. $3(x+4)$

E. $4(3x+4)$

The OA is B

Source: Economist GMAT

Source: Beat The GMAT — Problem Solving | Tue Sep 15, 2020 6:05 am

Neha sharma: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Mon Jul 13, 2020 9:15 pmFollowed by: 1 member

Re: Word Problems

by Neha sharma » Wed Sep 16, 2020 8:20 am

ImO- B

Total people is -x
People in air =1x/4
Remaining =3x/4
Return-3
Now in group= 3x/4+3
=3(x+4)/4

Neha sharma: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Mon Jul 13, 2020 9:15 pmFollowed by: 1 member

Re: Word Problems

by Neha sharma » Thu Sep 17, 2020 9:23 am

Neha sharma wrote: ↑
Wed Sep 16, 2020 8:20 am
ImO- B

Total people is -x
People in air =1x/4
Remaining =3x/4
Return-3
Now in group= 3x/4+3
=3(x+4)/4

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: Word Problems

by Scott@TargetTestPrep » Fri Sep 18, 2020 6:09 am

swerve wrote: ↑
Tue Sep 15, 2020 6:05 am
A group of x people is practicing levitation yoga. One-fourth of the people rise up in the air, and after a while, 3 of them come back down. How many people are now practicing yoga on the group?

A. $\dfrac{2}{3}(x+3)$

B. $\dfrac{3}{4}(x+4)$

C. $3(4x+4)$

D. $3(x+4)$

E. $4(3x+4)$

The OA is B

Solution:

[Note: We are assuming the question is asking for the number of people who are practicing yoga on the ground, instead of on the group.]

When 1/4 of the x people levitate, the number of people on the ground is 3x/4. Since 3 people come back down, the number of people on the ground is now:

3x/4 + 3

3x/4 + 12/4

(3x + 12)/4

3(x + 4)/4

Answer: B

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