Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 401:

  If 4-X < (2-5X)/3, which of the following is correct?

  A. X < -5.

  B. X > -5.

  C. X > 5.

  D. -5 < X < 0.

  E. 0 < X < 5.

  Correct Answer: A

  Multiply both sides by 3: 12 ?3X<; 2 ?5X

• Question 402:

  If (A-B-C+D = 13) and (A+B-C-D = 5), what is the value of (B-D)2?

  A. 16.

  B. 64.

  C. 8.

  D. 4.

  E. 12.

  Correct Answer: A

  Subtract equation 2 from equation 1 and you'll get: -2B +2D = 8 ---> (B-D) 2 = 16.

• Question 403:

  The sum of 3 consecutive numbers is definitely:

  A. Positive.

  B. Divisible by 2.

  C. Divisible by 3.

  D. Divisible by 4.

  E. Divisible by 5.

  Correct Answer: C

  This is a rule: The sum of 3 consecutive integers is divisible by 3. For example take 3 + 4 + 5 = 12.

• Question 404:

  Which of the following expressions is independent to variable X?

  A. (4X -3)/(X -3).

  B. X -(1 + 2X)/2.

  C. 4X -1 -4(1 -X ).

  D. (X + 2)2 -X2.

  E. X/(4X) + 4X/4.

  Correct Answer: B

  Simplify all the expressions to see where X disappears. Answer B: X -(1+2X)/2 = X ??- X = -1/2 and this answer as you can see is not dependent on the variable X.

• Question 405:

  If (A + 2)2 = (A + 5)2, what could be the value of A?

  A. 1.5.

  B. -2.5.

  C. -3.5.

  D. 2.5

  E. 3.

  Correct Answer: C

  Plug in the answers to back solve this question. Input A = -3.5 and you'll get (-1.5)2 = (1.5)2

• Question 406:

  If A2 (B + C) = 20, (A, B and C are all integers bigger than 1), what is the value of the expression (B + C A)?

  A. 1.

  B. 2.

  C. 3.

  D. 4.

  E. 9.

  Correct Answer: C

  Because they are all integers bigger than 1, the only multiplication can be 4 x 5 = 20. Because A is an integer, A2 can't be 5 therefore its 4 (A = 2). A = 2 B + C = 5. B + C -A = 5-2 = 3.

• Question 407:

  X, Y and Z are consecutive numbers (X>Y>Z). X +2Y +3Z = 5Y + 4.

  What is Z?

  A. 5.

  B. 6.

  C. 3.

  D. 4.

  E. 2.

  Correct Answer: A

  Use the answers to back solve.

  X + 2Y +3Z = 5Y +4 ---> X + 3Z = 3Y +4

  Let's try the first answer: Z = 5, so Y = 6 and X = 6.

  Let's check the equivalence: 7 + 15 = 22 = 18 + 4.

• Question 408:

  Q, R, S, and T are four consecutive positive numbers. Which of the following expressions must be odd?

  A. QR + ST.

  B. Q + R + S + T.

  C. Q2 + S3.

  D. Q2 + R2.

  E. Q2 + 2R

  Correct Answer: D

  You can ignore the powers since odds and evens remain as they were under powers. Q and R are consecutive numbers and therefore one of them is even and the other one is odd. The result of the sum of an even number and an odd number must be an odd number.

• Question 409:

  Eggs are sold in packages of six or eleven only. If Doris bought 70 eggs exactly, what could be the number of large packs Doris bought?

  A. 6.

  B. 2.

  C. 3.

  D. 5.

  E. 4.

  Correct Answer: B

  If she bought 2 large packs (22 eggs) than she has 48 eggs left. 48 eggs can be equally divided into eight boxes of 6.

• Question 410:

  A, B, C are three consecutive positive integers (A>B>C).

  What is the value of the expression 2A +B +3C?

  A. 6A+7.

  B. 5A+1.

  C. 5A-1.

  D. 6A-5.

  E. 6A-7.

  Correct Answer: E

  A different way is by expressing B and C according to A. C = A ?, B = A ?1. So the expression becomes: 2A +(A-1) +3(A-2) = 6A -7.