Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 501:

  Two grandfathers can nit a sweater in 6 days. Two grandfathers and one grandmother can nit a sweater in 3 days. How many days will it take the grandmother to nit a sweater all by her self?

  A. 4.5.

  B. 5.

  C. 5.5.

  D. 6.

  E. 6.5.

  Correct Answer: D

  Two grandfathers and a grandmother can nit a sweater in 3 days, therefore they can nit 2 sweaters in 6 days. Because two grandfathers can nit 1 in 6 days then the other sweater is done by the grandmother, she can nit 1 sweater in 6 days.

• Question 502:

  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?

  A. 8/125.

  B. 1/30.

  C. 2/5.

  D. 1/720.

  E. 3/10.

  Correct Answer: B

  The probability for the first one to be black is: 4/(4+6) = 2/5. The probability for the second one to be black is: 3/(3+6) = 1/3. The probability for the third one to be black is: 2/(2+6) = 1/4. The probability for all three events is (2/5) x (1/3) x (1/4) = 1/30.

• Question 503:

  A credit card number has 6 digits (between 1 to 9). The first two digits are 12 in that order, the third digit is bigger than 6, the forth one can be equally divided by 3 and the fifth digit is 3 times bigger than the sixth one. How many credit cards can be made?

  A. 27.

  B. 36.

  C. 72.

  D. 112.

  E. 422.

  Correct Answer: B

  First digit is 1, the second is 2, the third can be (7,8,9), the forth can be (0,3,6,9), the fifth and the sixth are

  dependent with one another. The fifth one is 3 times bigger than the sixth one, therefore there are only 3

  options there: (1,3), (2,6), (3,9).

  All together there are: 1 x 1 x 3 x 4 x 3 = 36 options.

• Question 504:

  In a chocolate store, there are vanilla and chocolate flavor bon-bons only.

  10% of the bon-bons are chocolate flavored, 90% of the rest are squashed.

  What percentage of the bon-bons is vanilla flavored that are not squashed?

  A. 1%

  B. 5%

  C. 9%

  D. 10%

  E. 2%

  Correct Answer: C

  Pick a number of bon-bons, like 100 for example.

  10 are chocolate, 90% of the rest (0.9 x 90 = 81) are squashed. That means that only 9 are vanilla and are

  not squashed.

• Question 505:

  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 in a total profit of X. How much did the owner get for all the players?

  A. X -4TR.

  B. 4X + 4TR.

  C. 4TR + X.

  D. 4(TR -X).

  E. 4TR -X.

  Correct Answer: C

  The owner bought T player that cost him altogether 4TR. He had a profit of X so he sold them for 4TR + X.

• Question 506:

  A bird is flying from an oak tree to a pine tree in a speed of 6 Km/h.

  On her way back, she flew at a speed of 4 Km/h, thus, the trip lasted 4 hours more. What is the distance between the trees? (In Km)

  A. 12.

  B. 24.

  C. 36.

  D. 48.

  E. 52.

  Correct Answer: D

  The distance to the pine tree is 6 x X, where X represents the time of the trip. The distance back to the oak tree is 4(X+4), assuming the trip back is equal in length. Therefore 6X = 4(X+4) X = 8. The length of the trip is 8 x 6 = 48 Km.

• Question 507:

  Tom divided his cards between Tim and Din so each one received an odd amount of cards. The number of cards that Tim received multiplied by the number of cards that Din received is a number larger than 49 and smaller than 121. How many cards did Tom have in the first place?

  A. 16.

  B. 22.

  C. 18.

  D. 14.

  E. 32.

  Correct Answer: C

  Answers A and E are disqualified immediately because those are even numbers that cannot be divided into two odd numbers. 22 is 11 + 11 but 11 x 11 is bigger than 121, the same idea with 14, therefore the answer is 18. 18 = 9 + 9. 9 x 9 = 81.

• Question 508:

  In Tukitu village, one forth of the people are raising flowers, one ninth is growing wheat and one eleventh are going bankrupt. What could be the number of people in the village?

  A. 792.

  B. 540.

  C. 198.

  D. 132.

  E. 346.

  Correct Answer: A

  The answer must be a number that is divisible equally by 4, 9 and 11. The only possible answer is A.

• Question 509:

  352 - 342 =?

  A. 35 -34.

  B. 35 + 34.

  C. 352.

  D. 2 x 35 x 34.

  E. 34.

  Correct Answer: B

  352 - 342 = (35 -34)(35 +34) = 1(35 + 34).

• Question 510:

  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?

  A. 3.23 feet

  B. 3.86 feet

  C. 4 feet

  D. 4.25 feet

  E. 4.44 feet

  Correct Answer: E

  First calculate the volume of water that has been poured into the tank. If it has been poured at a rate of 8 cubic feet per minute for 2.5 minutes, 8 -2.5 = 20 cubic feet. The tank is rectangular, so its volume is length

  -width- height (or depth), with the answer in cubic units. We are given the length, and can calculate the width, since we are told that the width is 1/2 the length, or 1/2 of 3 feet, or 1.5 feet. The volume we have already calculated to be 20 cubic feet. Therefore, 20 = length-width - height, or 20 = 3 feet -1.5 feet -the height. Solving for the height, we get 40/9 , or approximately 4.44 feet.