Admission Tests Admission Tests Certifications GMAT-QUANTITIVE Questions & Answers

• Question 591:

  If (3?)?=9, then which of the following expressions can x?be equal to?

  A. x2.

  B. 3x ?5.

  C. 2x ?1.

  D. 2x + 1.

  E. none of the answers above.

  Correct Answer: C

• Question 592:

  If (a ,b) = , what is the value of ? [(4,4),(1,9)] ?

  A. 1.

  B. 4.

  C. 6.

  D. 9.

  E. 18.

  Correct Answer: E

• Question 593:

  If 5 = 13, which of the following can describe a ?

  A. 3a + 1.

  B. 2a + 3.

  C. 3a -2.

  D. 3a -1.

  E. Answers B. and (c).

  Correct Answer: E

  Check each and every answer:

  A. 5 = 3 x 5 +1 = 16.

  B. 5 = 2 x 5 + 3 = 13.

  C. 5 = 3 x 5 -2 = 13.

  There is no need to check the final answer because we already know the right answer.

• Question 594:

  If the radius of a cylinder is doubled and so is the height, how much bigger is the new lateral surface area (with out the bases)?

  A. 8.

  B. 2.

  C. 6.

  D. 4.

  E. 10.

  Correct Answer: D

  The lateral surface area of a cylinder is (2 x pie x R) x (height of cylinder). The new lateral surface area is (2 x pie x 2R) x (double the height) = 4 times bigger.

• Question 595:

  1. If X ~ Y = X2 + XY, then what is the value of -1 ~ 2 ?

  A. 1.

  B. -1.

  C. 3.

  D. 4.

  E. 2.

  Correct Answer: B

  -1 ~ 2 = (-1)2 + (-1)2 = -1.

• Question 596:

  If Y = XY-X 2, then what is the value of (t-1) ?

  A. 3t2 -2t + 2.

  B. 3t2 -2t + 4.

  C. 3t2 -6t +3.

  D. 3t2 -6t ?3.

  E. 3t2 -6 + 3.

  Correct Answer: C

  3(t-1) = 3(t-1)-2 = 3(t2-2t+1) = 3t2 -6t +3.

• Question 597:

  If the radius of a cylinder is doubled and so is the height, what is the new volume of the cylinder divided by the old one?

  A. 8.

  B. 2.

  C. 6.

  D. 4.

  E. 10.

  Correct Answer: A

  The volume of a cylinder is (pie x R2) x (height of cylinder). The new volume is (4 x 2 = 8) bigger.

• Question 598:

  In a rectangular axis system, what is the area of a parallelogram with the coordinates: (5,7), (12,7), (2,3), (9,3) ?

  A. 21.

  B. 28.

  C. 35.

  D. 49.

  E. 52.

  Correct Answer: B

  First, draw the axis system and mark the 4 points. Connect the points to get a parallelogram. The area is calculated by the multiplication of one on of the bases and the height. The height is (7 -3 = 4), the length of the base is (9 -2 = 7). The area is 4 x 7 = 28.

• Question 599:

  In a rectangular axis system, what is the distance between the following points: A(24.4,30) and B (34.4,42.49) ?

  A. 5.

  B. 7.

  C. 8.

  D. 12.

  E. 16.

  Correct Answer: A

  First, draw a rectangular axis system and mark the two points. The easiest way to find the distance between them is to draw a triangle, where the line AB is the hypotenuse. You can see that the length of one side of the triangle is (34.4 -24.4 = 10) and the other side is (42.49 -30 = 12.49). The length of the line AB is received with the help Of the Pythagoras principle: .

• Question 600:

  In a rectangular axis system, what is approximate distance between the following points: C(1,2.5) and D(6.5,5.5) ?

  A. 5.5.

  B. 7.2.

  C. 6.3.

  D. 4.1.

  E. 3.8.

  Correct Answer: C

  First, draw a rectangular axis system and mark the two points. The easiest way to find the distance between them is to draw a triangle, where the line CD is the hypotenuse. You can see that the length of one side of the triangle is (5.5 - 2.5 = 3) and the other side is (6.5 ?1 = 5.5). The length of the line CD is received with the help Of the Pythagoras principle: .