Free Quantitative Reasoning MCQs with Answers

121. Which of the following is a rational number?

• A. √1.6
• B. √49/64
• C. √0.9
• D. -√250

Explanation: A, C and D are incorrect as they are irrational. B is correct as √(49/64) = √49/√64 = ⅞ 7/8 is in the form of a/b √(49/64) is a rational number

122. What number is halfway between -5/6 and 1/3 on a number line?

• A. -1/4
• B. -1/3
• C. -1/2
• D. -5/12

Explanation: A is correct as ⅓-⅚ (not using negative sign with 5/6 beacuse if we do so then both the numbers will be added and answer will be incorrect) divided by 2 = -¼ B, C and D are incorrect as the correct value is -1/4

123. Two and three-fifths of a number equals −26 . What is the number?

• A. -15
• B. -10
• C. -5
• D. 10

Explanation: To solve the equation 2 ⅗ * n = -26, convert the mixed number to an improper fraction: 13/5 * n = -26. By substituting -10 into the equation, we get 13/5 * -10 = -26, which satisfies the equation. Hence, Option B is correct. Options A, C, and D are incorrect as they do not result in -26 when substituted into the equation.

124. There are one hundred and forty-two students in a high school band. These students represent two ninth of the total students in the high school. How many students attend the school?

• A. 587
• B. 613
• C. 639
• D. 665

Explanation: To determine the total number of students in the high school, set up a proportion using the information that the 142 band students represent two-ninths of the total students. Cross-multiply to solve for the unknown:(142 band students) / (Total students) = (2/9)142 * 9 = Total students * 21,278 = Total students * 2Total students = 1,278 / 2Total students = 639Therefore, the correct answer is 639. Option A, B, and D are incorrect as they provide different values obtained from incorrect calculations.

125. 820c+380r=4,360 The above equation models the amount of calories in a snack of c cups of cashews and r cups of raisins. The amount of calories per cup of cashews is 820 and the amount of calories per cup of raisins is 380. According to the equation, how many cups of raisins are used, if 3 cups of cashews are used to make the snack?

• A. 3
• B. 4
• C. 5
• D. 6

Explanation: Given the equation 820c+380r=4360, when c=3, substituting into the equation gives: 820(3) + 380r = 4360, 2460 + 380r = 4360, 380r = 1900, r = 5. Therefore, the correct number of cups of raisins used is 5. Options A, B, and D are incorrect because they do not satisfy the equation when substituted.

126. A $48 shirts costs $22 more than one half the cost of a pair of pants. How much does the pair of pants cost?

• A. 26
• B. 52
• C. 42
• D. 88

Explanation: Let the cost of the pair of pants be x. The cost of the shirt is $48, which is $22 more than half the cost of the pants. This can be represented as ½x + 22 = 48. By solving this equation, x = 52 which is the cost of the pants.Option A: 26 does not satisfy the equation. Option C: 42 also does not equal 48. Option D: 88 is incorrect as well. Therefore, the correct answer is Option B: 52.

127. Twice a number n increased by 11 is the same as six times the number decreased by 9. What is the value of n?

• A. 3
• B. 12
• C. 5
• D. 18

Explanation: To solve this problem, we first translate the given information into an algebraic equation: 2n + 11 = 6n - 9. By solving for n, we find that n = 5. Option A and Option B do not yield the correct result when substituted into the equation. Option D also fails the test. Therefore, Option C is the correct answer.

128. One half of a number increased by 3 is five less than two thirds of the number. What is the number?

• A. 58
• B. 45
• C. 48
• D. 68

Explanation: To solve the problem, first translate the statement into an equation: ½n + 3 = ⅔n - 5. Simplifying this, you get n = 48. Let's verify:For Option C (48):Left side: ½(48) + 3 = 24 + 3 = 27.Right side: ⅔(48) - 5 = 32 - 5 = 27.Both sides are equal, confirming 48 is the correct answer.For the other options:Option A (58): The left side equals 32, and the right side equals 34.67. They are not equal.Option B (45): The left side equals 25.5, and the right side equals 25. They are not equal.Option D (68): The left side equals 37, and the right side equals 40.33. They are not equal.Thus, the only correct answer is 48.

129. Four times the greatest of three consecutive odd integers exceeds three times the least by 31. What is the greatest of the three consecutive odd integers?

• A. 33
• B. 47
• C. 19
• D. 61

Explanation: To solve the problem, express the three consecutive odd integers as x, x + 2, and x + 4. The problem states that four times the greatest integer (x + 4) exceeds three times the least integer (x) by 31, giving the equation: 4(x + 4) = 3x + 31.Solving for x results in x = 15. Therefore, the greatest of the three integers is x + 4 = 19. Options 33, 47, and 61 do not satisfy the equation and lead to non-integer solutions for x, making them incorrect choices.

130. 4x+13=7(x-2)+bxIf the linear equation above has no solution, which of the following could be the value of b?

• A. -1
• B. -2
• C. -3
• D. -4

Explanation: If a linear equation has the same coefficients and the same constants on opposite sides of the equation, it has no solutions. Option A and Option B have different coefficients for x, making them incorrect. Option D also has unequal coefficients, rendering it incorrect. Option C, with b = -3, results in the coefficients being equal on both sides of the equation, leading to no solution, which is the correct answer.