Free GMAT GMAT SECTION 2: QUANTITATIVE Exam Questions (page: 31)

What is the probability that the sum of the results when two dice are rolled simultaneously will be 9?

  1. 1/3
  2. 7/36
  3. 1/6
  4. 10/36
  5. 1/9

Answer(s): E

Explanation:

When two dice are rolled together, there are 4 different possibilities to receive a sum of 9: [3,6], [4,5], [5,4], [6,3], out of a total of 36 different possibilities. .



What is the units’ digit of the following expression (13)5 (15)4 (17)5?

  1. 0
  2. 1
  3. 3
  4. 5
  5. 9

Answer(s): D

Explanation:

When multiplying any number by a number with a units’ digit of 5, the units’ digit of the product will be either 5 (when all numbers are odd) or 0 (when there is at least one even number). Since in this question there are no even numbers, the units’ digit is 5.



What is the number of different ways to choose a chairman, two deputies and two assistants for the class committee out of 7 students up for election?

  1. 25
  2. 210
  3. 630
  4. 840
  5. 2520

Answer(s): C

Explanation:

There are 7 different choices for chairman, choices for the two deputies (choosing 2 out of 6), and choices for the two assistants. The total is choices.



A factory has a fixed cost of $45,000 a month, and a cost of $2.5 for every item produced. If the selling price of a single item is $5, what is the number of items must be sold monthly for the factory to cover its cost exactly?

  1. 9,000
  2. 14,000
  3. 18,000
  4. 22,500
  5. 27,000

Answer(s): C

Explanation:

To find the number of items sold that makes the revenues equal to the cost, solve the following equation:



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