Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 311:

  What is 0.05 * 0.05 in terms of percents?

  A. 25%

  B. 2.5%

  C. 0.25%

  D. 0.025%

  E. .0.025%

  Correct Answer: C

  Since 0.05 and 0.05 each have 2 decimal places, their product must have 4 (2 + 2) decimal places. Because 5 ?5 is 25, you need to add 2 zeros to get the correct number of decimal places, so the product of

  0.05 and 0.05 is 0.0025. To change a decimal to a percentage you multiply by 100 by moving the decimal point 2 places to the right, so 0.0025 is 0.25%.

• Question 312:

  If -3x+4y=28 and 3x-2y=8, what is the product of x and y?

  A. 428.

  B. 622.

  C. 464.

  D. 264.

  E. 642.

  Correct Answer: D

  We can notice that adding both equations gives: 2y = 36 thus y = 18. From one of the equations we can receive: x = 44/3, so the answer is 18x 44/3 = 6x44= 264.

• Question 313:

  If X+Y = 2X-2Z, X-2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?

  A. -2.

  B. -4.5.

  C. 3.

  D. -1.7.

  E. 2.5.

  Correct Answer: A

  There are three equations with three variables, the solution is: X = 0, Y = 42 and Z = -21 so Y/Z is -2.

• Question 314:

  If x = y+3+4.5x and y = x+18, what is the value of x/y ?

  A. 1/4.

  B. 5/6.

  C. -6/5.

  D. -7/20.

  E. 1.5.

  Correct Answer: D

  Solve two equations with two variables. Put y in the first equation. We'll get x = (x+18)+3+4.5x, the value of x is -14/3 and y = 40/3. x/y = -7/20.

• Question 315:

  If X2=Y and Y=4.5X+2.5, which of the following could be the value of y?

  A. 25.

  B. -0.5.

  C. 5.

  D. 10.

  E. 15.5.

  Correct Answer: A

  Y=4.5X+2.5, x = 5 or -0.5. Y can be 25 (4.5*5 + 2.5).

• Question 316:

  A Hawk can glide for 4 consecutive hours without resting using thermals only. An eagle can glide 14.5% longer without resting using the same thermals. If an eagle makes 3 stops during a certain glide, each stop after gliding its maximum possible time, how many hours long was the glide not including the resting time?

  A. 18.32.

  B. 13.74.

  C. 15.66.

  D. 9.16.

  E. 16.

  Correct Answer: A

  14.5% of 4 are 0.58. Thus, an eagle can fly for 4.58 consecutive hours without resting. Since the eagle rested 3 times, he could glide four periods 4 x 4.58 hours= 18.32 hours.

• Question 317:

  In a jar there are balls in different colors: blue, red, green and yellow.

  The probability of drawing a blue ball is 1/8.

  The probability of drawing a red ball is 1/5.

  The probability of drawing a green ball is 1/10.

  If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?

  A. 23.

  B. 20.

  C. 24.

  D. 17.

  E. 25.

  Correct Answer: A

  If 1/8 is the probability of drawing a blue ball then there are 40/8 = 5 blue balls in the jar. And with the same principle there are 8 red balls and 4 green ones. 40 -5 -8 ?4 = 23 balls (yellow is the only color left).

• Question 318:

  A Barman's train rails across an open track at 250 kilometers per hour. A regular passenger train travels at 68% of the Barman's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Barman's to travel 850 kilometers?

  A. 2 hours and 24 minutes.

  B. 1 hour and 24 minutes.

  C. 2 hours and 36 minutes.

  D. 1 hour and 36 minutes.

  E. 5 hours.

  Correct Answer: D

  Let's find the time it takes each train to travel 850 km.

  The fast train: 850 / 250 = 3.4 hours.

  The slow train: 0.68 x 250 = 170 km/h. So the time is 850 / 170 = 5 hours. The difference between the

  travel times is 1.6 hours or 1 hour and 36 minutes.

• Question 319:

  Two dung beetles start to run simultaneously towards each other when they're 150 feet apart. The first beetle runs at a speed of 20 feet per minute and the second beetle runs at a speed of 10 feet per minute. At the moment they start running towards each other a fly leaves the first beetle and flies towards the second one at a speed of 70 feet per minute, when he gets there he turns around and starts to fly towards the first beetle and so on. What is the total distance in feet that the fly will travel until the beetles meet?

  A. 250.

  B. 200.

  C. 300.

  D. 350.

  E. 400.

  Correct Answer: D

  The distance between the two beetles is 150 feet; they are running together at a speed of (10 + 20) 30 feet per minute, therefore it will take them 5 minutes to meet. The fly flies at a speed of 70 feet per minute so he travels a total distance of 5 x 70 = 350 feet.

• Question 320:

  The average speed of a Zebra is 4 times faster than that of a horse.

  The Zebra started to run at 5:00 o'clock and the horse started two hours later. What is the Zebra's speed if the total distance that the two animals traveled until 10:00 o'clock is 46 Km?

  A. 11.5.

  B. 12.

  C. 16.

  D. 8.

  E. 6.5.

  Correct Answer: D

  Let X be the horse's speed. The following equation came from the data: 4X x 5 + X x 3 = 46 ---> X = 2 Km/

  h. The zebra's speed is 8 Km/h.