Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 22)

Page 22 of 182

If a cube has a volume of 64 cubic feet, what is its lateral area?

  1. 16
  2. 24
  3. 48
  4. 64
  5. 96

Answer(s): D

Explanation:

The side of a cube equals the cubic root of its volume; in this question it is 4. The lateral area of a cube equals the sum of four faces; in this question each face is 16, and the lateral area is four times that, giving 64.



A seven-digit combination lock on a safe has zero exactly three times, does not have the digit 1 at all. What is the probability that exactly 3 of its digits are odd?

  1. 9/16
  2. 1/2
  3. 1/3
  4. 1/4
  5. 1/6

Answer(s): D

Explanation:

Since three digits are zero, only 4 digits are left for consideration (of which, none is zero). Since 1 does not appear in the numbers, there are 4 even numbers (without 0), and 4 odd numbers (without 1) to choose from. The probability for every digit to be odd is 1/2. There are 4 different ways to arrange 3 odd numbers and one even number in 4 places. Each of these ways has a probability of (1/2 )4. And together: 4×(1/2 )4 = 4 × 1/16=4/16



Pipe A fills a swimming pool in 4 hours. Pipe B empties the pool in 6 hours. If pipe A was opened at 8:00 am and Pipe B at 9:00 am, at what time will the pool be full?

  1. 15:00
  2. 17:00
  3. 18:00
  4. 19:00
  5. 20:00

Answer(s): C

Explanation:

From 8:00 am to 9:00 am, Pipe A, which fills the pool in 4 hours, was open for one hour, filling one quarter of the pool. From 9:00 am, the two Pipes worked together at the rate of: , one pool in 12 hours. Since the pool was already one quarter full at 9:00 am, it will take only 9 hours to fill the remaining three quarters of the pool. 9 hours from 9:00 am is 18:00.



In a school with 5 classes, each class has 2 students less then the previous class. How many students are there in the largest class if the total number of students at school is 95?

  1. 17
  2. 19
  3. 21
  4. 23
  5. 25

Answer(s): D

Explanation:

If X is the number of students in the largest class, then the numbers of students in the other classes are: X-2, X-4, X-6 and X-8. The total number of students is:
X+(X-2)+ (X-4)+ (X-6)+ (X-8)=95 and 5X-20=95 5X=115 X=23



Page 22 of 182



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