A university class is composed of x men and y women.

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

A university class is composed of x men and y women.

by BTGModeratorVI » Fri Mar 06, 2020 5:49 pm

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A university class is composed of x men and y women. If 2 men and 13 women join the class, and one person is selected at random from the enlarged class, then the probability that a male student is selected can be represented by –

A. x/y
B. x/(x + y)
C. (x + 2)/(y + 13)
D. (x + 2)/(x + y + 13)
E. (x + 2)/(x + y + 15)

Answer: E
Source: Economist GMAT

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Source: Beat The GMAT — Problem Solving | Fri Mar 06, 2020 5:49 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: A university class is composed of x men and y women.

by Brent@GMATPrepNow » Sat Mar 07, 2020 5:41 am

BTGModeratorVI wrote: ↑
Fri Mar 06, 2020 5:49 pm
A university class is composed of x men and y women. If 2 men and 13 women join the class, and one person is selected at random from the enlarged class, then the probability that a male student is selected can be represented by –

A. x/y
B. x/(x + y)
C. (x + 2)/(y + 13)
D. (x + 2)/(x + y + 13)
E. (x + 2)/(x + y + 15)

Answer: E
Source: Economist GMAT

If 2 men join the class, then the total number of men = x+2
If 13 women join the class, then the total number of women = y+13
To, the TOTAL number of students = (x+2) + (y+13) = x + y + 15

P(male is selected) = (x+2)/(x + y + 15)

Answer: E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pm; Followed by:5 members

Re: A university class is composed of x men and y women.

by deloitte247 » Sun Mar 08, 2020 12:29 am

Initially,
Total no of men =x
Total no of women =y
Total no of students=x+y
After 2 men and 13 women joined the class:Enlarged class
Total number of men= x+2
Total number of women=y+13
Total number of students=x+y+2+13=
Probability of selecting one male from the enlarged class=
$$\frac{x+2}{x+y+15}=$$
$$answer\ is\ Option\ E$$

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: A university class is composed of x men and y women.

by Scott@TargetTestPrep » Sun Mar 15, 2020 4:20 am

BTGModeratorVI wrote: ↑
Fri Mar 06, 2020 5:49 pm
A university class is composed of x men and y women. If 2 men and 13 women join the class, and one person is selected at random from the enlarged class, then the probability that a male student is selected can be represented by –

A. x/y
B. x/(x + y)
C. (x + 2)/(y + 13)
D. (x + 2)/(x + y + 13)
E. (x + 2)/(x + y + 15)

Answer: E
Source: Economist GMAT

We are given that a university class is composed of x men and y women and that 2 men and 13 women join the class.

The number of men in the enlarged class is x + 2, and the total number of students in the enlarged class is x + y + 2 + 13.

Thus, the probability of selecting a man from the enlarged class is:

(x + 2)/(x + y + 15)

Answer: E

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