Free GMAT GMAT SECTION 2: QUANTITATIVE Exam Questions (page: 33)

6. There are 40 students in a classroom, 9/20 of them are boys and 4/5 of them are right-handed. How many right-handed boys are there in the classroom?

  1. Between 10 and 32.
  2. Between 14 and 32.
  3. Between 10 and 18.
  4. Between 14 and 18.
  5. Between 18 and 36.

Answer(s): C

Explanation:

There are (9/20 x 40 = 18) boys in the class. 80% of them are right-handed, meaning that (4/5 x 18 = 14.4). Answer C is the best answer.



In Jonathan’s pen there are 300 sheep’s. 5/6 of the sheep’s are white, 2/3 of the sheep’s have soft wool. What can’t be the number of white sheep’s that also have soft wool in the pen?

  1. 100.
  2. 200.
  3. 190.
  4. 180.
  5. 160.

Answer(s): A

Explanation:

There are (5/6 x 300 = 250) white sheep’s. There are (2/3 x 300 = 200) soft woolen sheep’s.
The maximum overlap is the size of the smallest among the groups, thus 200. The minimum overlap is (250 + 200 – 300 = 150).
Therefore, the number of sheep’s can be somewhere between 150 and 200.



Ross has 40 shirts, ¾ of the shirts are green and 1/10 is without buttons. Therefore Ross has between and shirts with buttons that are not green.

  1. 6 ; 10.
  2. 4 ; 25.
  3. 4 ; 10.
  4. 5 ; 25.
  5. 3 ; 10.

Answer(s): A

Explanation:

Notice that the groups that we are looking for a overlapping are the not-green shirts and the buttoned ones. The not-green shirts are a quarter of 40, 10 shirts.
The shirts with buttons are (9/10 x 40 = 36).
The maximum overlapping is the size of the smallest group: 10. The minimum overlapping is: 36 + 10 – 40 = 6. Therefore, A is the answer.



In the Kan film festival, 50 movies were presented. 3/5 of the movies are action movies and 4/5 is science fiction movies. How many of the movies were science fiction action movies?

  1. 10.
  2. 15.
  3. 20.
  4. 30.
  5. 35.

Answer(s): C

Explanation:

There were (3/5 x 50 = 30) action movies.
There were (4/5 x 50 = 40) science fiction movies.
Exact overlapping is calculated by minimum overlapping method.
Therefore, there are (40 + 30 – 50 = 20) movies that belong to both categories.



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