Free Amazon MBA: Quantitative Reasoning Questions and Answers 1 — Questions and Answers

Question 1: What is the value of y if y+3y+5y=18?

0
1
-1
-2 (Correct answer)

Correct answer: -2

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?

x35y8
x35y15 (Correct answer)
x12y8
x8y12

Correct answer: x35y15

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?

{13}
{1,13} (Correct answer)
{1,2,5,7,8,10,11,13,16,17}
{1,5,7,11,13}

Correct answer: {1,13}

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?

5⁄3 (Correct answer)
2⁄3
1⁄2
3⁄4

Correct answer: 5⁄3

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?

5⁄26
6⁄26
1⁄5 (Correct answer)
3⁄13

Correct answer: 1⁄5

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.

Question 6: The equation below, where w is the combined weight of the truck and its load and q is the number of castings it is hauling, calculates the weight of a vehicle with its load in pounds. What does the number 35,000 stand for in the equation? w = 500q + 35,000

The weight of the truck with no load (Correct answer)
The maximum weight of castings that the truck can haul
The combined weight of the truck and a full load of castings
The weight of each casting

Correct answer: The weight of the truck with no load

In the equation w = 500q + 35,000, 'w' represents the combined weight and 'q' is the number of castings. If the truck is hauling no load, then q = 0. Substituting q=0 into the equation gives w = 500(0) + 35,000, which simplifies to w = 35,000. This means 35,000 represents the weight of the truck when it is empty, without any castings.

Question 7: How many bottles of Coke will Sandra need to purchase for an event with only 8 guests if she needs to purchase 9 for one with 12 attendees?

5
7
8
6 (Correct answer)

Correct answer: 6

This is a proportion problem. Sandra needs 9 bottles for 12 attendees, which means the rate is 9 bottles / 12 attendees = 3/4 bottles per attendee. To find out how many bottles are needed for 8 guests, multiply this rate by the number of guests: (3/4) * 8 = 24/4 = 6 bottles. Therefore, Sandra will need to purchase 6 bottles of Coke.

Question 8: 1, 9, 25, 49, ?, 121. What will appear where the question mark was?

100
91
64
81 (Correct answer)

Correct answer: 81

The series consists of perfect squares of consecutive odd numbers. The pattern is 1^2, 3^2, 5^2, 7^2, ?, 11^2. Following this pattern, the missing number should be the square of the next odd integer after 7, which is 9. Therefore, 9^2 = 81 is the missing number in the series.

Question 9: MENTION is represented as LNEITNO in a specific type of coding. How does that code for PATTERN look?

STAETNR
OTAESNR
ATAETNR
OTAETNR (Correct answer)

Correct answer: OTAETNR

The coding pattern involves specific transformations for different parts of the word. The first letter is shifted one position backward (M-1=L). The last two letters are swapped (ON becomes NO). The middle four letters (ENTI) are rearranged by swapping the second and third letters (EN becomes NE) and the fourth and fifth letters (TI becomes IT). Applying this pattern to PATTERN: P-1=O; (AT) swaps to (TA); (TE) swaps to (ET); (RN) swaps to (NR), resulting in OTAETNR.

Question 10: View this series: What number should come after 1.5, 2.3, 3.1, 3.9, etc.?

5.1
4.7 (Correct answer)
4.4
4.2

Correct answer: 4.7

To find the next number, observe the difference between consecutive terms in the series. 2.3 - 1.5 = 0.8; 3.1 - 2.3 = 0.8; 3.9 - 3.1 = 0.8. The series is an arithmetic progression with a common difference of 0.8. Therefore, to find the next term, add 0.8 to the last number: 3.9 + 0.8 = 4.7.

Question 11: What will appear where the question mark was? 3, 2, 7, 6, 11, ?

10 (Correct answer)
8
2
4

Correct answer: 10

This is an alternating series with two distinct patterns. The numbers in the odd positions (1st, 3rd, 5th) follow the pattern 3, 7, 11 (adding 4 each time). The numbers in the even positions (2nd, 4th, 6th) follow the pattern 2, 6, ?. Since the question mark is in the 6th position, it follows the even position pattern. Adding 4 to the previous even position number (6) gives 6 + 4 = 10.

Question 12: What will appear where the question mark was? 34, 45, 56, 67 ......?

73
78 (Correct answer)
82
84

Correct answer: 78

To find the next number, observe the difference between consecutive terms in the series. 45 - 34 = 11; 56 - 45 = 11; 67 - 56 = 11. The series is an arithmetic progression with a common difference of 11. Therefore, to find the next term, add 11 to the last number: 67 + 11 = 78.

Question 13: View this series: 2, 4, 6, 8, 10, ... What figure should come after that?

13
11
12 (Correct answer)
14

Correct answer: 12

This is a simple arithmetic series where each term is obtained by adding 2 to the previous term. The numbers are consecutive even integers. Following this pattern, the next number after 10 is 10 + 2 = 12.

Question 14: View this series: 2, 4, 6, 8, 10, What figure should go in the empty space?

14
11
12 (Correct answer)
13

Correct answer: 12

Question 15: How can CALICUT be coded if DELHI is coded as 73541 and CALCUTA is coded as 8258662?

8251896 (Correct answer)
5743691
6397931
3278452

Correct answer: 8251896

This is a direct substitution cipher where each letter corresponds to a specific digit. From the examples, we can deduce: D=7, E=3, L=5, H=4, I=1 (from DELHI) and C=8, A=2, U=6, T=6 (from CALCUTA, noting L=5 is consistent). Applying these mappings to CALICUT yields 8251866. The provided correct answer, 8251896, implies that 'U' maps to '9' instead of '6', which contradicts the mapping established in CALCUTA.

Question 16: View this series: What number should come after 21? 21, 9, 21, 11, 21, 13, 21,...

14
15 (Correct answer)
21
23

Correct answer: 15

This is an alternating series with two distinct patterns. The numbers in the odd positions (1st, 3rd, 5th, 7th) are consistently 21. The numbers in the even positions (2nd, 4th, 6th) follow the pattern 9, 11, 13, which increases by 2 each time. Since the question mark is in the 8th position (an even position), the next number in this sub-sequence is 13 + 2 = 15.

Free Amazon MBA: Quantitative Reasoning Questions and Answers 1

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