GMAT Quantitative Reasoning Questions and Answers

Question 1 :

If the greatest integer k for which 3^k is a factor of n! is 8, what is the largest possible value of p so that 5^p is a factor of n!?

A)  2

B)  3

C)  4

D)  5

E)  6

Answer :

Question 2 :

On January 1, 2009, the price of a certain stock was 20 percent less than its value on January 1, 2008. On January 1, 2010, the price of the stock was 25 percent less than its price on January 1, 2009. The price of the stock on January 1, 2010 is what percent of its price on January 1, 2008?

A)  70 percent

B)  60 percent

C)  55 percent

D)  50 percent

E)  45 percent

Answer :

Question 3 :

If b/(a + b) = 7/12, then what does a/b equal?

A)  5/12 

B)  5/7

C)  7/5

D)  7/19

E)  19/12

Answer :

Question 4 :

In one can of mixed nuts, 30% is peanuts. In another can of mixed nuts that is one-half the size of the first one, 40% is peanuts. If both cans are emptied into the same bowl, what percentage of the mixed nuts in the bowl is peanuts?

A)  16⅔%

B)  20%

C)  25%

D)  33⅓%

E)  35%

Answer :

Question 5 :

A paint store mixes 3/4 pint of red paint and 2/3 pint of white paint to make a new paint color called Perfect Pink. How many pints of red paint would be needed to make 34 pints of Perfect Pink paint?

A)  9

B)  16

C)  18

D)  25⅓

E)  28⅓

Answer :

Question 6 :

If a jewelry store wants to sell a necklace for $179.95 next week at a 60% off sale, how much is the price of the necklace this week?

A)  $71.98

B)  $251.93

C)  $287.92

D)  $399.92

E)  $449.88

Answer :

Question 7 :

Which number is divisible by 3, 4, 5, and 6?

A)  30

B)  48

C)  75

D)  120

E)  160

Answer :

Question 8 :

The length of a rectangle is 4 centimeters longer than the width, and the perimeter is 96 centimeters. How many square centimeters are there in the area of the rectangle?

A)  48

B)  396

C)  572

D)  1,760

E)  2,288

Answer :

Question 9 :

Which quadratic equation has roots of 4 and 1/2?

A)  4x² - 9x + 2 = 0

B)  2x² - 9x + 4 = 0

C)  2x³ - 9x² + 4x = 0

D)  2x² + 9x + 4 = 0

E)  x² - 2x + 1/2 = 0

Answer :

Question 10 :

99999² - 1² =

A) 10¹⁰ - 2

B) (10⁵ - 2)²

C) 10⁴(10⁵ - 2)

D) 10⁵(10⁴ - 2)

E) 10⁵(10⁵ - 2)

Answer :

Question 11 :

If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is (1/s + 1/t) in terms of t?

A)  (201)²/t

B)  (201)(202)/t

C)  201/t

D)  202/t

E)  (201)(202)/t²

Answer :

Question 12 :

A certain state has a sales tax of 5 percent on the portion of a purchase price that is greater than $100. If a customer paid a sales tax of $4 on a particular item, what was the purchase price of the item?

A)  $120

B)  $124

C)  $180

D)  $184

E)  $220

Answer :

Question 13 :

A certain college has a student-to-teacher ratio of 11 to 1. The average (arithmetic mean) annual salary for teachers is $52,000. If the college pays a total of $6,760,000 in annual salaries to its teachers, how many students does the college have?

A)  130

B)  169

C)  1300

D)  1430

E)  1560

Answer :

Question 14 :

The total expenses of organizing a party has a fixed expense of $250 as the rent of the place where the party is to be organized and a variable expense depending on the number of guests attending the party. For 10 guests the total expense was estimated to be $650. What is the estimated total expense for 20 guests?

A) $800

B) $900

C) $1050

D) $1250

E) $1300

Answer :

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