Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 421:

  What is the units' digit of (9)7(17)3(3)3 ?

  A. 3.

  B. 5.

  C. 7.

  D. 8.

  E. 9.

  Correct Answer: E

  (17)3(3)3 = (17 x 3)3 = (51)3 = 51 x 51 x 51 ---> the units' digit is just 1 x 1 x 1 = 1.

  We are left with the units' digit of 97.

  (9)7 = 9 x 81 x 81 x 81 ---> the units' digit is 9.

  And therefore the units' digit of the entire expression is 9.

• Question 422:

  Jeremy bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?

  A. 50RW/Q.

  B. 50QR/W.

  C. 25RQ/W.

  D. 25RW/Q.

  E. RW/(4Q).

  Correct Answer: D

  Jeremy paid W dollars (or 100W cents) for 2Q steaks and therefore each steak cost him 50W/Q. Jerome has a 50% discount, so every steak costs him 25W/Q. Jerome wants to buy R steaks; it will cost him 25RW/Q.

• Question 423:

  An electrical appliances store sold this month 400% more than the average of all the other months in the year. The sales total for this month was approximately what percent of total sales for this year?

  A. 14%.

  B. 21%.

  C. 31%.

  D. 37%.

  E. 43%.

  Correct Answer: C

  Plug in 1$ as the sales for each of the other 11 months. On that special month, the store sold 400% more (400% of 1 is 4), or $5. The sales of this month relative to the sales of the entire year are 5/(11 + 5). 5/16, which is a bit less than 1/3 (33%).

• Question 424:

  If 34 boxes of cucumbers in brine cost A dollars, how much will B boxes cost in cents?

  A. AB/34.

  B. 17AB/50.

  C. 34/AB.

  D. 50AB/17.

  E. 100AB/17.

  Correct Answer: D

  If 34 boxes cost A dollars then one box costs A/34 dollars or 100A/34 cents = 50A/17. B boxes will cost B x 50A/17 = 50AB/17.

• Question 425:

  If X boxes of pineapple juice cost 342 cents, how much will Y boxes cost in dollars?

  A. 342Y/X.

  B. X/(342Y).

  C. XY/(342).

  D. 3.42X/Y.

  E. 3.42Y/X.

  Correct Answer: E

  If X boxes cost 342 cents (or 3.42 dollars), then each box costs 3.42/X. Y boxes will cost 3.42Y/X.

• Question 426:

  What is the smallest possible common multiple of two integers, both bigger than 260?

  A. 261.

  B. 262.

  C. 524.

  D. 12,542.

  E. 18,244.

  Correct Answer: A

  All of the integers have to be greater than 260, thus 261 and up. The question didn't mention that they

  have to be different from one another and so they can all be equal to 261.

  The smallest common multiple of 261 is 261.

• Question 427:

  A customer asks the clerk for a paintbrush and a bucket of whitewash for a total price of B dollars. If the paintbrush costs 200 cents less than twice the price of a bucket of whitewash, what is the price of half a bucket of whitewash in dollars?

  A. (B + 200)/2.

  B. (B + 2)/6.

  C. (2B + 200)/3.

  D. (B + 2)/3.

  E. (B + 2)/6.

  Correct Answer: E

  Define W as the price of the bucket of whitewash and P as the price of a paintbrush. You can write the

  following equations: P + W = B and P = 2W ?2.

  Notice that 200 cents are translated into 2 dollars.

  From the equations we can conclude that W = (B + 2)/3.

  Therefore the price of half a bucket is (B + 2)/6.

• Question 428:

  If "Alfa" is defined as 2 percent of 5 degrees, how many "Alfa's" are there in two circles?

  A. 0.72.

  B. 7.2.

  C. 72.

  D. 720.

  E. 7200.

  Correct Answer: E

  "Alfa" is defined as (0.02 x 5 degrees = 0.1 degrees). In a circle there are 360 degrees, in two circles there are 720. (720 degrees / 0.1 = 7200 "Alfa's") in two complete circles.

• Question 429:

  What is the smallest possible common multiple of three integers, all larger than 26?

  A. 27.

  B. 54.

  C. 846.

  D. 19,656.

  E. 21,924.

  Correct Answer: A

  All of the integers have to be greater than 26, thus 27 and up. The question didn't mention that they have

  to be different and so they can all be equal to 27.

  The smallest common multiple of 27 is 27 itself.

• Question 430:

  The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, between the meeting point and West-Town?

  A. 3.

  B. 7.

  C. 10.

  D. 12.

  E. 15.

  Correct Answer: D

  The ratio between their speeds is 4:1 and so will be the ratio between the distances that they'll pass.

  The first bird will pass a distance of 12 Km and the second bird will pass only 3Km.

  The meeting point will be 12 Km from West-Town.