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  5. GMAT SECTION 2: QUANTITATIVE

Free GMAT GMAT SECTION 2: QUANTITATIVE Exam Questions (page: 30)

Page 30 of 182
PDF with 745 Questions

John must arrange 3 different physics books and 3 different mathematics books on one shelf. If the first book on the leftmost side is a mathematics book and no physics book is next to another physics book. How many different arrangements exist?

  1. 6
  2. 9
  3. 36
  4. 120
  5. 720

Answer(s): C

Explanation:

The leftmost book is a mathematics book; the next is physics and so on. So, the odd places books are the mathematics books and the even placed books are the physics books. The mission is therefore, arranging three mathematics books in three places (3! =6 arrangements) and three physics books in three places (3! =6 arrangements). The total number of different arrangements is the product of the two missions:



An investor receives a total combined return of 7% on his two different investments. On his $10,000 investment he receives a return of 6%. What is the return on his $20,000 investment?

  1. 7.25%
  2. 7.5%
  3. 8%
  4. 8.5%
  5. 9%

Answer(s): B

Explanation:

The combined return is 7% of $30,000 = $2,100. Subtract the 6% return on his $10,000 investment = $600. $2,100-$600=$1,500. This is the return on his second investment of $20,000. $1,500 of $20,000 is a 7.5% return.



What is the probability of getting an identical result on three consecutive tosses of a coin?

  1. 1/2
  2. 1/4
  3. 1/8
  4. 1/16
  5. 1/2 + 1/4

Answer(s): B

Explanation:

The first toss will be either heads or tails. The probability that the result on the second toss is identical to the first is 1/2. The probability that the result on the third toss is identical to that of the second is also 1/2. The total probability is, therefore, .



A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?

  1. $1,500
  2. $1,800
  3. $2,100
  4. $2,500
  5. $2,800

Answer(s): E

Explanation:

The salesperson receives a commission on 210-50=160 sales. The commission on every sale is 7.5% of $150 = $11.25. .



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