FREE Amazon MBA: Quantitative Reasoning Questions and Answers

Question 1

What is the value of y if y+3y+5y=18?

Accepted Answer

-2

Answer

The given equation is y+3y+5y=18. Combining the like terms on the left side, we get 9y. So, the equation simplifies to 9y=18. Dividing both sides by 9 yields y=2. However, if the right side of the equation were -18 (i.e., 9y = -18), then dividing by 9 would result in y=-2. This suggests a potential typo in the question, as -2 is the correct solution for 9y = -18.

Question 2

Which of the following statements is the same as
(x ⁷ y ³)⁵?

Accepted Answer

x³⁵y¹⁵

Answer

When an expression with exponents is raised to another power, you multiply the exponents. The rule is (a^m)^n = a^(m*n). In this case, both x^7 and y^3 are raised to the power of 5. Therefore, x becomes x^(7*5) = x^35, and y becomes y^(3*5) = y^15. Combining these, the simplified expression is x^35y^15.

Question 3

Let the following sets make up X and Y:
X={2,8,10,11,13,16,17}

Y={1,5,7,11,13}
The set X∩Y is which of the following?

Accepted Answer

{1,13}

Answer

The intersection of two sets, denoted by X∩Y, includes only the elements that are present in *both* sets. For the given sets X={2,8,10,11,13,16,17} and Y={1,5,7,11,13}, the common elements are 11 and 13. Therefore, the correct intersection should be {11,13}. The provided answer {1,13} is incorrect because the element '1' is not present in set X.

Question 4

What is the equation's answer?
³⁄₇ (x+3)+5=3x+2?

Accepted Answer

5⁄3

Answer

To solve the equation (3/7)(x+3)+5=3x+2, first distribute 3/7 to get (3/7)x + 9/7 + 5 = 3x + 2. Combine the constants on the left side: (3/7)x + 44/7 = 3x + 2. Next, isolate the x terms by subtracting (3/7)x from both sides and the constants by subtracting 2 from both sides, leading to 30/7 = (18/7)x. Finally, multiply by 7/18 to solve for x, which gives x = 30/18, simplifying to x = 5/3.

Question 5

From a bag containing 4 red marbles, 7 blue marbles, 9 yellow marbles, and 6 green marbles, Bruno selects and keeps one marble at random. The stone is then randomly selected by Antoinette from the same bag. What is the likelihood that Antoinette's stone will also be green if Bruno's marble is?

Accepted Answer

1⁄5

Answer

Initially, there are 4+7+9+6 = 26 marbles in the bag. If Bruno selects a green marble and keeps it, the total number of marbles decreases to 25. The number of green marbles also decreases by one, leaving 5 green marbles. Therefore, the probability that Antoinette's next marble will also be green is the number of remaining green marbles (5) divided by the total remaining marbles (25), which simplifies to 1/5.

Amazon Practice Test

Amazon Practice Test

FREE Amazon MBA: Quantitative Reasoning Questions and Answers