QUESTION: 149

If A2 + B2 = 15 and AB = 10, what is the value of the expression (A – B)2 + (A + B)2?

Answer(s): C

Explanation:

(A – B)2 + (A + B)2 = A2 – 2AB + B2 + A2 + 2AB + B2 = 2(A2 + B2) = 30.

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QUESTION: 150

If A and B are positive integers, which of the following expressions is not an integer for certain?

(2A2 – 2B2)/(A+B).
(6B + 8A)/(3B + 4A).
(3A – B)/(B - 3A).
(A + B)/(A2 + B2 + 2AB).
(A2 – B2)/(A - B).

Answer(s): D

Explanation:

All the answers besides D are numbers after some simplification. Answer D = (A + B)/(A+B)2 = 1/(A+B), and this is a fraction of a number.

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In the “Big-Reds” parking lot there are 56 vehicles, 18 of them are buses and the rest are private cars. The color of 32 vehicles is red, from which 17 are buses. How many private cars can be found in the parking lot, which are not colored red?

Answer(s): B

Explanation:

Out of 56 vehicles, 32 are colored red, therefore 24 are in different color.
17 of the red vehicles are buses, therefore (18 – 17 = 1) are in different color. (24 – 1 = 23) private cars are in the parking lot with a different color than red.

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QUESTION: 152

In Sam’s hanger there are 23 boxes, 16 out of the boxes are filled with toys and the rest are filled with electrical appliances. 8 boxes are for sale, 5 of them are filled with toys. How many boxes with electrical appliances are in Sam’s hanger that is not for sale?

Answer(s): D

Explanation:

8 boxes are for sale, 5 of them are with toys, and therefore 3 of them are with electrical appliances. Out of 23 boxes, 16 are with toys, therefore, and therefore 7 of them are with electrical appliances. (7 – 3 = 4) is the number of electrical appliances boxes, which are not for sale.

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Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 38)

QUESTION: 149

Explanation:

QUESTION: 150

Explanation:

QUESTION: 151

Explanation:

QUESTION: 152

Explanation: