Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 431:

  A car traveled from San Diego to San Francisco at an average speed of 48 miles per hour. If the journey back took twice as long, what was the average speed of the trip?

  A. 24.

  B. 32.

  C. 36.

  D. 42.

  E. 44.

  Correct Answer: B

  Average speed can be found by dividing the total distance by the total time. If the journey back took twice as long then the car traveled at half the speed, thus 24-mph. Take the time the car traveled from San Diego to San Francisco as T, and the time it took to get back as 2T. The total distance is 48T+24*2T= 96T, now divide it by the total time, 3T to get 32 mph.

• Question 432:

  In an isosceles triangle the sum of the sides is 2 inches longer than the base. What is the ratio between the length of the side and the length of the base?

  A. 1.5

  B. 1.

  C. 1.75.

  D. 2.

  E. Not enough information.

  Correct Answer: E

  Try taking the base of the triangle as 1 inch. Both of the sides are 3 inches.

  And the portion required is (1.5 / 1) = 1.5.

  Try taking different numbers, take 10 inches as the length of the base.

  The length of both sides is (10 + 2 = 12 inches).

  The portion required is (6 / 10).

  We can see that a randomly pick of two numbers will give two different answers and therefore there is no

  distinct answer.

• Question 433:

  If 1/3 < A < 2, which of the following expressions can have the largest value?

  A. A2/3.

  B. A.

  C. A/2+1/3.

  D. A + 1/3.

  E. A3-4.

  Correct Answer: E

  Try the answers for the largest and smallest values A can get. Take A = 1.9, answer E will be the largest and so this is the expression that can be the largest among the other expressions.

• Question 434:

  Monica planned her birthday party. She prepared 5 muffins for each of her guests and kept aside two additional muffins in case someone will want extra. After the party, it turned out that one of the guests didn't come but every one of the guests that did come ate six muffins and 3 muffins remained. How many guests did Monica plan on?

  A. 3.

  B. 4.

  C. 5.

  D. 6.

  E. 7.

  Correct Answer: C

  X is the number of guests that were suppose to show up at the party, and so Monica prepared 5X + 2 muffins. (X -1) is the number of guests that did come to the party and the total number of muffins is 6(X -1)

  + 3. The number of muffins that Monica prepared is equal to the total number of muffins and so we can compare the following expressions: 5X + 2 = 6(X -1) +3 --->;X = 5.

• Question 435:

  The bus that travels from St. Louis to Chicago and back comes to St. Louis every 4 hours while the bus that travels from St. Louis to Springfield and back comes to St. Louis every 6 hours. If at 12:00 o'clock both bused arrived at St. Louis, at what time will they meet in St. Louis again?

  A. 16:00.

  B. 18:00.

  C. 20:00.

  D. 22:00.

  E. 24:00.

  Correct Answer: E

  In order for both buses to meet again, we ought to look for the smallest common factor of 4 and 6, thus 12 hours. After 12 hours one of the buses will complete 3 roundtrips while the other will complete only 2, they will meet at (12:00 + 12 = 24:00).

• Question 436:

  A is even and B is odd. Which of the following expressions can't be an integer?

  A. The numerator is odd and the denominator is even therefore it can't be an integer.

  Correct Answer: A

  In this question we are looking for an expression: odd/even, which can't be an integer. In answer

  A: The numerator is odd and the denominator is even therefore it can't be an integer.

• Question 437:

  A and B are integers. If 2A-B = B-A, than which of the following is true?

  A. B

  B. A

  C. A and B are even.

  D. A is even and B is either even or odd.

  E. B is even.

  Correct Answer: D

  2A-B = B-A 3A = 2B. Therefore 3A must be an even number and since 3 is odd, A must be even and B can be either even or odd.

• Question 438:

  P is divisible by 4.Q is divisible by 3. Which of the following is definitely odd?

  A. Q(P+1)

  B. 2P+3Q

  C. PQ2

  D. P2Q3

  E. None of the above.

  Correct Answer: E

  P must be even but Q is either even or odd (3,6,...). None of the following answers are definitely odd although some can be.

• Question 439:

  X is an integer, which of the following must be even?

  A. X (X +2) + 2

  B. X (X +1) +1

  C. X (X + 1)

  D. X2

  E. X3 +1

  Correct Answer: C

  You don't know whether or not X is even. In answer C you have a multiplication of two consecutive numbers so one of them must be even and an even number multiplied by an odd number is always even.

• Question 440:

  X is an even number, which of the following is odd?

  A. X2

  B. (X +1) 2

  C. (X+2) 2

  D. X3 + X

  E. 2X2

  Correct Answer: B

  The easiest way is to try out a number, lets say X=2. You can see that B is 9, and that is always an odd number.