  ## GMAT Math Prep Most Comprehensive Question Bank Set 4

Options are :

• 32
• 18
• 34
• 30
• 25 (Correct)

##### When the integer Y is divided by 11, the remainder is 3. Which of the following can't be a multiple of (Y+1)?

Options are :

• 3Y-5 (Correct)
• 1.5Y+9
• 3Y+3
• 2.5Y-5
• 2Y+2

##### Jennifer bought two apartments with \$300,000 in order to rent them out. The monthly return on the first apartment is 1.5% of its value and on the second apartment the return is 2% of its value. If the total returns of the entire year were \$61,200, how much did Jennifer spent on the second apartment?

Options are :

• \$180,000
• \$210,000
• \$100,000
• \$150,000
• \$120,000 (Correct)

##### An investment yields an interest of \$228 each month. If the simple annual interest rate is 9%, what is the amount of the investment?

Options are :

• \$31,300
• \$32,500
• \$35,100
• \$30,400 (Correct)
• \$28,300

##### When an integer Q is divided by 6, the remainder is 4. Which of the following is not a multiple of 6?

Options are :

• Q-4
• 4Q+2
• 3Q
• Q+2
• 2Q+6 (Correct)

##### Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 25 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the middle than Danny?

Options are :

• 50 minutes
• 75 minutes
• 12.5 minutes (Correct)
• 35 minutes
• 25 minutes

Options are :

• 27
• 112
• 422
• 36 (Correct)
• 72

Options are :

• 5
• 6 (Correct)
• 4.5
• 5.5
• 6.5

Options are :

• 14
• 16
• 22
• 18 (Correct)
• 32

##### Fuel tanker A can fill the underground reservoir in 12 minutes. How long will it take fuel tanker A and fuel tanker B to fill up the same reservoir together?(1) The reservoir contains 3000 liters of fuel.(2) Fuel tanker A alone will require the same number of hours to fill the same reservoir.

Options are :

• Either statement BY ITSELF is sufficient to answer the question.
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Answer :Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

##### What is the value of (Q + W)?(1) W = 3R(2) Q = -3R

Options are :

• Either statement BY ITSELF is sufficient to answer the question.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Options are :

• 62
• 80
• 44
• 56
• 75 (Correct)

##### Kelly used to get a 30% discount on movie tickets. When the price of the movie ticket increased by 50%, the amount of discount in dollars remained the same. What is Kelly's discount with the new Ticket price in percent terms?

Options are :

• 10%
• 35%
• 38%
• 20% (Correct)
• 25%

Options are :

• 9% (Correct)
• 5%
• 2%
• 1%
• 10%

##### When the integer X is divided by 5, the remainder is 2. Which of the following can be a multiple of (X+3)?

Options are :

• 9X-3 (Correct)
• 13X+1
• 8X+7
• 13X
• 11X-4

##### What is the value of (XY)?(1) X = 2/(9Q).(2) Y = 4.5Q.

Options are :

• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient. (Correct)
• Either statement BY ITSELF is sufficient to answer the question.

Answer :Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

##### A long rope was divided to three different parts. What is the length of the smallest piece?(1) The sum of the two smaller pieces is 14 inch.(2) The sum of the two larger pieces is 22 inch.

Options are :

• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
• Either statement BY ITSELF is sufficient to answer the question.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

##### In Tukitu village, one fourth of the people are growing corn, one ninth are growing wheat and one eleventh are running cattle farms. What could be the number of people in the village?

Options are :

• 346
• 198
• 540
• 132
• 792 (Correct)

##### x, y, z, and w are integers. The expression x-y-z is even and the expression y-z-w is odd. If x is even what must be true?

Options are :

• w must be even
• w must be odd (Correct)
• z must be even
• z must be odd
• y-z must be odd

##### Two cars are traveling on the same road towards each other.  If car A is traveling at a speed of 120 Km/h and car B is traveling 15% slower, how much time will it take the cars to meet if the initial distance between the two is 668.4 Km and car A started to drive one hour and a half before car B started?

Options are :

• Three hours and 15 minutes
• Two hours
• One hour and 30 minutes
• Two hours and 12 minutes (Correct)
• Three hours and 18 minutes

Answer :Two hours and 12 minutes

Options are :

• 3.5
• 4
• 2
• 5.5
• 6 (Correct)

##### What is the value of X + Y?(1) X = 3Z.(2) Y = 8Z.

Options are :

• Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data. (Correct)
• Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
• Either statement BY ITSELF is sufficient to answer the question.
• Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
• Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Answer :Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, require more data.

##### In the beginning of the season, the owner of a football team bought T players for the price of 4R each. At the end of the season the owner sold the players for a total profit of X. How much did the owner get for all the players?

Options are :

• 4TR - X
• X - 4TR
• 4 (TR -X)
• 4X + 4TR
• 4TR + X (Correct)

Options are :

• 28
• 48 (Correct)
• 52
• 50
• 8

##### Harris invested \$45,000 in two different ventures, a car-cleaning machine and a video mat. The yearly return on the video mat was 12% and the yearly return on the car-cleaning machine was 8%. If the total return was \$4,000, how much did Harris invest in the video mat?

Options are :

• \$22,000
• \$10,000 (Correct)
• \$8,000
• \$14,000
• \$35,000

##### Water has been poured into an empty rectangular tank at the rate of 8 cubic feet per minute for 2.5 minutes. The length of the tank is 3 feet and the width is one half of the length. Approximately how deep is the water in the tank?

Options are :

• 4 feet
• 4.25 feet
• 4.44 feet (Correct)
• 3.23 feet
• 3.86 feet

##### Out of a box that contains 4 black mice and 6 white ones, three are picked up. What is the probability that all three will be black mice?

Options are :

• 1/30 (Correct)
• 3/10
• 1/720
• 8/125
• 2/5

Options are :

• 3 (Correct)
• 3Q
• Q+3
• Q
• 2Q

Options are :

• 52
• 36
• 48 (Correct)
• 12
• 24

Options are :

• 75
• 65
• 80 (Correct)
• 54
• 70