Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 301:

  Is the square root of A an integer?

  (1)

  The last digit of A is 8.

  (2)

  A is divisible by 6.

  A.

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

  B.

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

  C.

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

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: A

  Explanation: If you square each digit {0, 1, 2,..., 8, 9}, you will see that the possible last digits for a square are 0, 1, 4, 5, 6 and 9. Thus, if the last digit of A is 8, A cannot be a square and the square root of A is not an integer. Statement (1) by itself is sufficient. Statement (2) by itself is insufficient since there are numbers that are divisible by 6 and have an integer square root and numbers divisible by 6 that do not have an integer square root. The correct answer is A.

• Question 302:

  X and Y are two sides of a triangle, is the area of the triangle an integer?

  

  (1)

  X is a prime number.

  (2)

  Y is an odd integer.

  A.

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

  B.

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

  C.

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

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem. X Y

  Correct Answer: E

  Explanation: The area of the triangle is XY/2.

  Statement (1) tells us that X is a prime number, that can be even (2) or odd (3, 5, 7, etc.).

  Statement (2) tells us that Y is an odd integer.

  The multiplication of X and Y can be an odd number or an even number, thus we cannot determine if the

  area of the triangle is an integer or not. The correct answer is E.

• Question 303:

  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 B alone will require the same number of hours to fill the same reservoir.

  A.

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

  B.

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

  C.

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

  D.

  Either statement BY ITSELF is sufficient to answer the question.

  E.

  Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

  Correct Answer: B

  Explanation: Statement (1) is insufficient since the size of the reservoir is irrelevant. Statement (2) is

  sufficient since it tells us that the second tanker has the same work rate as the first. So, it will take them

  both half the time it took the first tanker alone.

  The correct answer is B.

• Question 304:

  A carpenter makes 3 bunk beds every day. A military school needs to organize a place to sleep for 143 soldiers. If there are 5 carpenters working on the job, how many whole days in advance should they receive the order and start working in order to finish the right number of beds assuming that each bunk-bed is used by two soldiers?

  A. 3.

  B. 4.

  C. 5.

  D. 6.

  E. 7.

  Correct Answer: C

  143 soldiers is not an even number so we need at least 72 beds (one will sleep alone). The carpenters together can complete 15 beds a day. 72/15 is between 4 and 5 so they will need 5 days notice in order to complete the job on time.

• Question 305:

  Bart is working as a paper delivery boy in Springfield. He delivers 620 newspapers every day except on Saturdays and Sundays. If Bart earns 4.2 cents for every second newspaper he delivers, how much money can he earn in a month with 28 days?

  A. 378.2 $

  B. 376.5 $

  C. 287.8 $

  D. 260.4 $

  E. 96.9 $

  Correct Answer: D

  (310 newspapers a day) x (5 days) x (4 weeks) x (4.2 cents)=26040 cents= 260.4$.

• Question 306:

  A young and energetic cobbler fixes 3650 pairs of shoes every year, while an old yet experienced cobbler fixes 20% less than the young cobbler. In a shoe factory there are two old and one young cobblers working together. How many shoes can the factory fix every day assuming that there are 365 days a year?

  A. 26.

  B. 34.

  C. 36.

  D. 44.

  E. 48.

  Correct Answer: A

  An old cobbler fixes 0.8 x 3650 = 2920 shoes per year. In the factory there are two old and one young

  cobbler ---> 3650 + 2920 + 2920 = 9490 shoes per year.

  9490 shoes divided by 365 days is 26 shoes per day.

• Question 307:

  A pizza house sells 30 pizzas on a Friday night. On a weekday it sells 11% less. How many pizzas will the pizza house sell in a 28 days month assuming that Saturday is a "no business" day?

  A. 320.

  B. 654.

  C. 235.

  D. 600.

  E. 540.

  Correct Answer: B

  On a weekday the pizza house sells 89% of 30 = 26.7 pizzas. In a month there are 4 Fridays ---> 4 x 30 = 120 pizzas. There are 4 x 5 weekdays (there is no Saturday) ---> 20 x 26.7 = 534. All together 654 pizzas.

• Question 308:

  What is 0.04 x 0.03 x 0.2 in terms of percent?

  A. 24%

  B. 2.4%

  C. 0.24%

  D. 0.024%

  E. 0.0024%

  Correct Answer: D

  The number we're supposed to see in the answers is 4 x 3 x 2 = 24. It fits all answers. The real question is

  the decimal of the answer; the basic rule is to add the decimals (2+2+1=5). We want the answer in percent

  terms so we need to take two decimals down, overall- 3.

  The answer is 24/1000 (3 decimals) = 0.024%

• Question 309:

  A computer factory produces 4200 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?

  A. 2.25.

  B. 3.125.

  C. 4.5.

  D. 5.225.

  E. 6.25.

  Correct Answer: B

  4200/28 is 150 computers per day, 150/24 = 25/4 computers per hour = 6.25. Every thirty minutes half of that number is made, 3.125.

• Question 310:

  If X/Y = 3X and Y = 4-X, what can be the value of 2X?

  A. Seven and two thirds.

  B. Three and one third.

  C. Seven and one third.

  D. Two and one third.

  E. Three and two thirds.

  Correct Answer: C

  With both equations we'll get the following equation: x (3x-11) = 0. So, X is either 0 or 11/3 we want the value of 2X, meaning (c).