Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 711:

  If X>X, the average of X and Y is Z, and the average of Z and X is W, what is the value of

  

  =?

  A. 0

  B. 1

  C. 2

  D. 3

  E. 4

  Correct Answer: B

• Question 712:

  One quarter of the workers at the factory is clerical, one fifth is technical, half are administrative and the other 25 are managerial. How many workers total are there in the factory?

  A. 250

  B. 366

  C. 400

  D. 500

  E. 2500

  Correct Answer: D

  Explanation: First, calculate the fraction of the 25 managerial workers out of the total number of workers by subtracting the fractions given from 1. The 25 managerial workers are 201of the workers, therefore, 5002025=? a total number of 500 workers. The correct answer is D.

• Question 713:

  X is a prime number bigger than 10. Also, Y = X+X3+X5+X7.

  What is definitely true about Y?

  A. Y is a prime number.

  B. Y is odd.

  C. Y is even.

  D. Y is divisible by 3.

  E. Y is divisible by 7.

  Correct Answer: C

  Explanation: Because X is a prime number bigger than 10, it must be odd. Ignoring the powers of X in the expression of Y, you'll see that Y is a sum of 4 odd numbers therefore it must be even.

  The correct answer is C.

• Question 714:

  What is the least integer that is a sum of four different primes each greater than 20?

  A. 79

  B. 83

  C. 120

  D. 133

  E. 169

  Correct Answer: C

  Explanation: Find the sum of the first 4 primes larger than 20: 23+29+31+37=120. The correct answer is C.

• Question 715:

  How much interest will $2,400 earn at an annual rate of 8% in one year if the interest is compounded every 4 months?

  A. $141

  B. $150

  C. $197

  D. $234

  E. $312

  Correct Answer: C

  Explanation: Here, it is enough to calculate the simple interest of 8% per year. $2,400 x 8/100 x 1 = $192. Since we are calculating as a compounded rate, the interest should be a bit higher or C as the correct answer.

• Question 716:

  If 4XZ + YW = 3 and XW + YZ = 6, what is the value of the expression

  (2X + Y)(2Z + W)?

  A. 9.

  B. 12.

  C. 15.

  D. 16.

  E. 18.

  Correct Answer: C

  Explanation: (2X + Y) (2Z + W) = 4XZ + 2XW + 2ZY + WY.

  Now, plug in this data to get: 3 + 2 x 6 = 15.

  The correct answer is C.

• Question 717:

  X is an even number and Y is a positive odd number. Which of the following expressions cannot be even?

  A. (XY) Y

  B. X3Y3

  C. X3

  D. XY

  E. Y2

  Correct Answer: E

  The fastest way to solve this problem is by plugging in some numbers.

  Let's say: X = 2, Y = 1.

  According to answer e: 1 x 1 = 1 and that must be an odd number.

  The correct answer is E.

• Question 718:

  A drawer holds 4 red hats and 4 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and immediately returning every hat to the drawer before taking out the next?

  A. 1/8

  B. ¼

  C. ½

  D. 3/8

  E. 7/12

  Correct Answer: C

  Getting three red out of 4 that are taken out has 4 options (4! / (3!*1!)) each option has a probability of (1/2) 4 since drawing a red or blue has a 50% chance. 4*1/16= ¼ to get three red hats. The same goes for three blue hats so ¼+¼ =1/2. The correct answer is C.

• Question 719:

  The average (arithmetic mean) of seven numbers is 12.2. If the sum of four of these numbers is 42.8, what is the average of the other 3 numbers?

  A. 12.4

  B. 14.2

  C. 16.8

  D. 18.6

  E. 19.2

  Correct Answer: B

  This is an average problem, so use the average formula. If the average of 7 numbers is 12.2, we can solve for their sum: 7 × 12.2 = 85.4. If four of these numbers total 42.8, then by subtracting 42.8 from 85.4, we get the sum of the other three numbers, 42.6. To find the average of these three numbers, we divide their sum by their number: 42.6/3 = 14.2.

• Question 720:

  How many four-digit numbers that do not contain the digits 3 or 6 are there?

  A. 2401

  B. 3584

  C. 4096

  D. 5040

  E. 7200

  Correct Answer: B

  The first digit has 7 possibilities (10 – 0, 3 and 6). The other three digits have 8 possibilities each. 7*8*8*8= 3584. The correct answer is B.