GMAT – Quantitative (Problem Solving) Sample Questions Set-1
Categories: GMAT (Graduate Management Admission Test)
Solve the problem and indicate the best of the answer choices given.
Numbers: All numbers used are real numbers.
Figures: All figures accompanying problem solving questions are intended to provide information useful in solving the problems. Figures are drawn as accurately as possible. Exceptions will be clearly noted. Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All figures lie in a plane unless otherwise indicated.
Question. A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?
(A) The mean only
(B) The median only
(C) The standard deviation only
(D) The mean and the median
(E) The mean and the standard deviation
Answer: (d)
Question. Last month a certain music club offered a discount to preferred customers. After the first compact disc purchased, preferred customers paid $3.99 for each additional compact disc purchased. If a preferred customer purchased a total of 6 compact discs and paid $15.95 for the first compact disc, then the dollar amount that the customer paid for the 6 compact discs is equivalent to which of the following?
(A) 5(4.00) + 15.90
(B) 5(4.00) + 15.95
(C) 5(4.00) + 16.00
(D) 5(4.00-0.01) + 15.90
(E) 5(4.00-0.05) + 15.95
Answer: (a)
Question. The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how much greater than the average of the integers from 50 to 100, inclusive?
(A) 150
(B) 175
(C) 200
(D) 225
(E) 300
Answer: (d)
Question. The sequence a1, a2, a3,…, an,…is such that an=an-1+an-2/2 for all n≥3. If a3 = 4 and a5=20. What is the value of a6?
(A) 12
(B) 16
(C) 20
(D) 24
(E) 28
Answer: (e)
Question. Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent invest in oil stocks and 7 percent invest in both municipal bonds and oil stocks. If 1 person is to be randomly selected from the 2,500 people, what is the probability that the person selected will be one who invests in municipal bonds but NOT in oil stocks?
(A) 9/50
(B) 7/25
(C) 7/20
(D) 21/50
(E) 27/50
Answer: (b)
Question. A closed cylindrical tank contains 36p cubic feet of water and is filled to half its capacity. When the tank is placed upright on its circular base on level ground, the height of the water in the tank is 4 feet. When the tank is placed on its side on level ground, what is the height, in feet, of the surface of the water above the ground?
(A) 2
(B) 3
(C) 4
(D) 6
(E) 9
Answer: (b)
Question. A marketing firm determined that, of 200 households surveyed, 80 used neither Brand A nor Brand B soap, 60 used only Brand A soap, and for every household that used both brands of soap, 3 used only Brand B soap. How many of the 200 households surveyed used both brands of soap?
(A) 15
(B) 20
(C) 30
(D) 40
(E) 45
Answer: (a)
Question. A certain club has 10 members, including Harry. One of the 10 members is to be chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. What is the probability that Harry will be either the member chosen to be the secretary or the member chosen to be the treasurer?
(A) 1/720
(B) 1/80
(C) 1/10
(D) 1/9
(E) 1/5
Answer: (e)
Question. If a certain toy store's revenue in November was 2/5 of its revenue in December and its revenue in January was ¼ of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January?
(A) 1/4
(B) 1/2
(C) 2/3
(D) 2
(E) 4
Answer: (e)
Question. In the figure shown, what is the value of v+x+y+z+w?
(A) 45
(B) 90
(C) 180
(D) 270
(E) 360
Answer: (c)