QUESTION: 53

Which of the following has the smallest numerical value?

23 x 22
26
25 x 21
(22)3
23 x 33

Answer(s): A

Explanation:

Using the rules for exponents, choice a simplifies to 25 and choices b, c, and d simplify to 26 = 64. Choice e becomes 27 × 81, which is obviously much larger than 64.

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QUESTION: 54

How many liters of a 40% iodine solution need to be mixed with 35 liters of a 20% iodine solution to create a 35% iodine solution?

Answer(s): D

Explanation:

Let x = the number of liters of the 40% solution. Use the equation 0.40x + 0.20(35) = 0.35 (x + 35) to show the two amounts mixed equal the 35% solution.

Solve the equation: 0.40x + 0.20(35) = 0.35(x + 35)
Multiply both sides by 100 in order to work with more compatible numbers:
40x + 20(35) = 35(x + 35)
40x + 700 = 35x + 1,225
Subtract 700 on both sides: 40x + 700 – 700 = 35x + 1,225 – 700
Subtract 35x from both sides 40x – 35x = 35x – 35x + 525
Divide both sides by 5:5x/5 = 525/5
x = 105 liters of 35% iodine solution

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QUESTION: 55

If it takes Steve 6 hours to tile a floor and Cheryl 4 hours to tile the same floor, how long would it take both Steve and Cheryl to tile the floor if they worked together?

2 hours 12 minutes
2 hours 24 minutes
3 hours
3 hours 12 minutes
10 hours

Answer(s): B

Explanation:

Let x = the part of the floor that can be tiled in 1 hour. Since Steve can tile a floor in 6 hours, he can tile 1/6 of the floor in 1 hour. Since Cheryl can tile the same floor in 4 hours, she can tile 1/4 of the floor in 1 hour. Use the equation 1/6 + 1/4 = 1/x, where 1/x represents the part of the floor they can tile in an hour together. Multiply each term by the LCD = 12x. 12x × 1/6 + 12x × 1/4 = 12x × 1/x. The equation simplifies to 2x + 3x = 12.5x =
12. Divide each side by 5 to get x = 12/5 =2.4 hours. Since 0.4 times 60 minutes equals 24 minutes, the final answer is 2 hours 24 minutes.

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QUESTION: 56

Given the area of the three squares, find the perimeter of ΔABC.

12
12.5
19.5
20
25

Answer(s): A

Explanation:

The length of one side of a square is equal to the square root of the area of the square. Since the area of the squares is 9, 16, and 25, the lengths of the sides of the squares are 3, 4, and 5, respectively. The triangle is formed by the sides of the three squares; therefore, the perimeter, or distance around the triangle, is 3 + 4 + 5
= 12.

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Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 14)

QUESTION: 53

Explanation:

QUESTION: 54

Explanation:

QUESTION: 55

Explanation:

QUESTION: 56

Explanation: