GMAT – Quantitative (Problem Solving) Sample Questions Set-2

Categories: GMAT (Graduate Management Admission Test)

Question. Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?

 

(A) 90

(B) 82

(C) 80

(D) 45

(E) 36

 

Answer: (c)

 

Question. Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x?

 

(A) 50

(B) 100

(C) 200

(D) 1,000

(E) 2,000

 

Answer: (c)

 

Question. If s and t are positive integers such that s/t=64.12, which of the following could be the remainder when s is divided by t?

 

(A) 2

(B) 4

(C) 8

(D) 20

(E) 45

 

Answer: (e)

 

Question. Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

 

(A) 25

(B) 36

(C) 38

(D) 42

(E) 45

 

Answer: (b)

 

Question. The product of all the prime numbers less than 20 is closest to which of the following powers of 10?

 

(A) 109

(B) 108

(C) 107

(D) 106

(E) 105

 

Answer: (c)

 

Question. If √3-2x=√2x+1, then 4x2 =

 

(A) 1

(B) 4

(C) 2-2x

(D) 4x-2

(E) 6x-1

 

Answer: (e)

 

Question. If n=√16/81 , what is the value of √n?

 

(A) 1/9

(B) 1/4

(C) 4/9

(D) 2/3

(E) 9/2

 

Answer: (d)

 

Question. If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?

 

(A) Four

(B) Five

(C) Six

(D) Seven

(E) Eight

 

Answer: (a)

 

Question. If k is an integer and 2 < k < 7, for how many different values of k is there a triangle with sides of lengths 2, 7, and k?

 

(A) One

(B) Two

(C) Three

(D) Four

(E) Five

 

Answer: (a)

 

Question. A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?

 

(A) √3:1

(B) 1:1

(C) 1/2:1

(D) √2:1

(E) 2:1

 

Answer: (b)

 

Question. John deposited $10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John's account 6 months after the account was opened?

 

(A) $10,100

(B) $10,101

(C) $10,200

(D) $10,201

(E) $10,400

 

Answer: (d)

 

Question. A container in the shape of a right circular cylinder is ½ full of water. If the volume of water in the container is 36 cubic inches and the height of the container is 9 inches, what is the diameter of the base of the cylinder, in inches?

 

(A) 16/9p

(B) 4/Öp

(C) 12/Öp

(D) Ö2/p

(E) 4Ö2/p

 

Answer: (e)

 

Question. If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?

 

I. 8

II. 12

III. 18

 

(A) Il only

(B) I and II only

(C) I and III only

(D) II and III only

(E) I, II, and III

 

Answer: (b)

 

Question. Aaron will jog from home at x miles per hour and then walk back home by the same route at y miles per hour. How many miles from home can Aaron jog so that he spends a total of t hours jogging and walking?

 

(A) xt/y

(B) x+t/xy

(C) xyt/x+y

(D) x+y+t/xy

(E) y+t/x-t/y

 

Answer: (c)

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