## Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members

##### This topic has expert replies
Moderator
Posts: 5802
Joined: 07 Sep 2017
Followed by:19 members

### Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members

by BTGmoderatorDC » Sun Jun 06, 2021 4:25 pm

00:00

A

B

C

D

E

## Global Stats

Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the three languages?

(1) 60 of the members speak only English.
(2) 20 of the members do not speak any of the three languages.

OA C

Source: GMAT Prep

Legendary Member
Posts: 1983
Joined: 29 Oct 2017
Followed by:6 members

### Re: Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the member

by swerve » Tue Jun 08, 2021 7:26 am

00:00

A

B

C

D

E

## Global Stats

BTGmoderatorDC wrote:
Sun Jun 06, 2021 4:25 pm
Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the three languages?

(1) 60 of the members speak only English.
(2) 20 of the members do not speak any of the three languages.

OA C

Source: GMAT Prep
Number who speak exactly two of three languages $$= ($$Total - Those who speak none - Those who speak exactly 1 language - Those who speak all 3 languages$$)$$

(1) Not sufficient since it does not tell us how many don't speak any language $$\Large{\color{red}\chi}$$
(2) Not sufficient since we cannot conclude from this how many speak just one language (we know about English but not Spanish) $$\Large{\color{red}\chi}$$

$$(1) \& (2)$$ combined, sufficient $$\Large{\color{green}\checkmark}$$

Total $$= 200$$

Speak none $$= 20$$

Speak exactly $$1 = 60 (E) + 70 (S) + 0 (G,$$ as all who speak German also speak English$$)$$

Speak all three $$= 0$$

Hence, exactly two $$= 50$$

• Page 1 of 1