Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 391:

  In a Greek restaurant there is a custom to break plates during celebrations. If after 8 celebrations there were only 6 plates left, which of the following could be the original number of plates before the celebrations?

  A. 30.

  B. 32.

  C. 34.

  D. 36.

  E. 40.

  Correct Answer: A

  Take answer A: start with 30 plates; take out 6 so you have 24. 24 is divisible by 8 (celebrations).

• Question 392:

  To a prime number bigger than 2, 1 is added, the result is multiplied by three. What can be the result of these actions?

  A. 51.

  B. 54.

  C. 43.

  D. 41.

  E. 53.

  Correct Answer: E

  A prime number bigger than 2 must be odd, adding one to that number gives you an even number, multiply that number by 3 and again the result is even. The only even answer is B.

• Question 393:

  A seven-digit phone number is divisible by 3. After adding the two digits of the area code the number is not divisible by 3, which of the following cannot be the area code?

  A. 06.

  B. 02.

  C. 07.

  D. 04.

  E. 05.

  Correct Answer: A

  Adding one number that is divisible by 3 to another, the result will still be a number that is divisible by 3; the only number among the answers that is divisible by 3 is 06.

• Question 394:

  If (B+A < B -A<; A -B), which of the following is correct?

  A. A

  B. B

  C. B<0

  D. 0

  E. B>A>0.

  Correct Answer: B

  Divide the equation in to two: (B+A < B – A) and (B – A < A – B).

  From the first one: A<0. From the second one: A>B. Therefore B is the answer.

• Question 395:

  A is an integer. Which of the following expressions must be even?

  A. A (A+2) -1.

  B. A(A -1) +1.

  C. (A+1)(A+2).

  D. (A -1)(A +3).

  E. A2 -1.

  Correct Answer: C

  Answer C is a multiplication of two consecutive numbers, therefore one of them must be even, and an even number multiplied by a different number is an even number.

• Question 396:

  X and Y are integers. If (4X + 3Y = 3Y -X), which of the following is true?

  A. X is even.

  B. X is odd.

  C. Y is even.

  D. Y is odd.

  E. None of the above.

  Correct Answer: A

  4X + Y = 3Y -X -->; 3X = 2Y. The right side of the equation is definitely even. Therefore X must also be even since it is multiplied by an odd number (3).

• Question 397:

  If Y < X and XM < YM, what must be true?

  A. M < X.

  B. M < Y.

  C. X < 0.

  D. M < 0.

  E. Y < 0.

  Correct Answer: D

  If Y < X, multiply both sides by M and see that M must be negative since it changed the sign of the inequality. Remember that multiplying both sides of an inequality by a negative number reverses the direction of the inequality sign.

• Question 398:

  If X = (Y/Z), (-1 < Z < 0) and 4 < Y, which of the following is correct?

  A. X > 4.

  B. 0 < X <4.

  C. -4 < X < 0.

  D. X < -4.

  E. X < -20.

  Correct Answer: D

  Plug in numbers that fit the conditions of the question, Y=5; Z = -1/2 X = 5/(-1/2) = -10.

• Question 399:

  If (A+B) = 4, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?

  A. 16.

  B. 2.

  C. 7.

  D. -2.

  E. 8.

  Correct Answer: A

  Take equation 1 + equation 3 -equation 2 and you'll get 4 + 3 ?9 = -2.

• Question 400:

  If X2 + Y2 = A +3, XY = 7 and (X + Y) 2 = 25, what is the value of A?

  A. 11.

  B. 6.

  C. 8.

  D. 5.

  E. 4.

  Correct Answer: D

  A + 3 = X2+Y2 = (X + Y)2 -2XY = 25 -7 x 2 = 11 A = 8.