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  5. GMAT SECTION 2: QUANTITATIVE

Free GMAT GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 80)

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745 Questions & Answers
Page 18 of 182

If x $ y is defined as 2(x + y) 2, then what is the value of 2 $ 3?

  1. 25
  2. 36
  3. 50
  4. 100
  5. 144

Answer(s): C

Explanation:

For this type of problem, substitute the values you are given for x and y. In this case, x = 2 and y = 3. The expression becomes 2 (2 + 3)2. Using the order of operations, perform the operation within the parentheses first and then the exponent. 2 (5)2 = 2 (25).Multiply to get 50.



If x, y, and z are real numbers, which is always true?

I) x (yz) = (xy) z
II) x/y = y/z
III) z (x + y) = zx + zy

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

Answer(s): D

Explanation:

Statement I is an example of the associative property of multiplication and statement III is an example of the distributive property. These properties will hold for any real numbers that are substituted into them. Statement II is not a property of real numbers and may be true for certain numbers, but not for every real number.



If y = 6x, then 6y equals

  1. 6x
  2. 6x+1
  3. 6x + 6
  4. 6x
  5. 6x – 1

Answer(s): B

Explanation:

Since y = 6x, multiplying each side of the equation results in 6y = 6 (6x). Recall that since 6 = 61, 6x × 61 = 6x + 1 by the laws of exponents.



What is the smallest of six consecutive odd integers whose average (arithmetic mean) is x + 2?

  1. x – 5
  2. x – 3
  3. x – 1
  4. x
  5. x + 1

Answer(s): B

Explanation:

Remember that consecutive odd integers are numbers that are two apart in order, like 11, 13, and 15. The average of six consecutive odd integers will be an even number. If x + 2 is the average, then this value will be at the middle of the integers if they are arranged in order. Therefore, the three consecutive odd integers smaller than this are expressed as x + 1, x – 1, and x – 3 in descending order. The smallest odd integer is x – 3.






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