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  5. GMAT SECTION 2: QUANTITATIVE

Free GMAT GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 19)

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PDF with 745 Questions

The product of a and b is equal to 11 more than twice the sum of a and b. If b = 7, what is the value of b – a?

  1. 2
  2. 5
  3. 7
  4. 24
  5. 35

Answer(s): A

Explanation:

Write an equation for the question by translating the first sentence. The product of a and b is ab, and 11 more than twice the sum of a and b translates to 2(a + b) + 11. The equation is ab = 2 (a + b) + 11. Substitute 7 for b.7a = 2 (a + 7) + 11. This simplifies to 7a = 2a + 14 + 11 by the distributive property and then becomes 7a = 2a + 25. Subtract 2a from both sides of the equation and then divide each side by 5; 7a – 2a = 2a – 2a + 25. . a = 5. The value of b – a = 7 – 5 = 2.



The instructions state that Cheryl needs 4/9 square yards of one type of material and 2/3 square yards of another type of material for a project. She buys exactly that amount. After finishing the project, however, she has 8/18 square yards left that she did not use. What is the total amount of square yards of material Cheryl used?

  1. 1/12
  2. 1/9
  3. 2/3
  4. 1 1/9
  5. 2 1/9

Answer(s): C

Explanation:

To solve the problem, you need to add 4/9 and 2/3 then subtract 8/18 since the amount she has not used is 8/18, which reduces to 4/9. If you were to add 4/9 and 2/3, and then subtract 4/9, you would end up with 2/3.



Which of the following values of x would satisfy the inequality x > 1?

I) x = 1 ½ 23
II) x = 1 -4/3 22
III) x = 1 -1/3 2-2

  1. I only
  2. II only
  3. II and III only
  4. I and III only
  5. I, II, and III

Answer(s): C

Explanation:

Statement I simplifies to 1/8, which is less than 1. Statement II simplifies to 16/9, which is greater than 1. In statement III, you need to take the reciprocal of the fraction inside the parentheses (because the exponent is negative) and then evaluate using an exponent of 2. This results in (–3)2 = 9, which is also greater than 1. Both statements II and III would satisfy the inequality x > 1.



John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two years ago?

  1. 2
  2. 4
  3. 6
  4. 8
  5. 16

Answer(s): B

Explanation:

Let x = Sam’s current age and 3x = John’s current age. If John will be twice as old as Sam in six years, this sets up the equation 3x + 6 = 2 (x + 6). Solve this equation for x by using the distributive property on the right side of the equation and then subtracting 2x from both sides. 3x + 6 = 2x + 12. 3x – 2x + 6 = 2x – 2x + 12.
Subtract 6 from both sides. x + 6 – 6 = 12 – 6. x = 6. Since x is Sam’s current age, Sam was four years old two years ago.



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