Free Quantitative Reasoning MCQs with Answers

91. If n and p are two even numbers then which of them is not an even number :

• A. n + p
• B. n - p
• C. n+p / 2
• D. (n * p) +1

Explanation: All the options can be used for trial and error method, as n and p are two even numbers we can assume any two even numbers as the value of n and pAssuming n=4 and p=2A. n + p4+2 = 6 (an even number)B. n - p4-2= 2 (an even number)C. n+p / 2This is not applicable for all even numbers . for eg: if the two numbers are 12 and 16so the answer will be (12+16)/2=14so not correctD. (n * p) + 1(4*2) +1 = 9 ( not an even number)

92. A team has played 10 matches in the session. The number of goals by team are given as follow. Find the mean.

• A. 4
• B. 3
• C. 2
• D. 2.2

Explanation: The formula for calculating the mean Mean = sum of terms/number of termsSum of terms (goals) = 0 + 1 + 2 + 3 + 4 + 1 + 2 + 4 + 3 + 2 = 22Number of terms (match no.) = 10Mean = 22/10 = 2.2All the other mentioned options do not match the calculation.

93. In the triangle ABC, If AB = BC = AC, theni: x ii: y

• A. (i) x is greater
• B. (ii) is greater
• C. Both are equal
• D. Can't be determined

Explanation: if AB = BC = AC i.e all the three sides of triangle are equal,the triangle is equilateral, all three angles are supposed to be equal. If the one angle mentioned is 60° than the other two should also be 60°53°+x= 60X= 7°72-y=60°Y=12°Option B is correct as (ii)Y is greater than (i) X (12>7)Option A: Not correct as x is smaller than yOption C: X and y are not equal as x= 7 and y=12Option D: The value can be determined as shown in calculation above

94. Log10 1000 = ?

• A. 0.3
• B. 3
• C. 1/3
• D. 3.3

Explanation: The definition of a logarithm states that if loga b = x, then a^x = b. In this question, log10 1000 = x means that 10^x = 1000. Since 1000 can be rewritten as 10^3, it follows that x must be 3, making Option B the correct answer. The other options are incorrect: 10^0.3 is approximately 2, not 1000; 10^(1/3) is approximately 2.15, not 1000; and 10^3.3 is approximately 1995.26, not 1000.

95. Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of the companies surveyed required neither computer skills nor writing skills?(1) Of those companies surveyed that required computer skills, half required writing skills.(2) 45 percent of the companies surveyed required writing skills but not computer skills.

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient to answer the question
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient to answer the question
• C. Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
• D. Each statement alone is sufficient

Explanation: Option C gives sufficient information from which it can be concluded that the percentage of companies that did not require neither computer skills or writing skills using a venn diagram Taking (1) and (2) together, 85 percent (20 + 20 + 45), i.e., 20% required computer skills, 20% required both skills, and 45% required only writing skills. Therefore, companies that do not require computer skills nor reading skills would be equal to 100-85 = 15% of the surveyed companies that require neither computer skills nor writing skills.All the other options provided are not sufficient enough to conclude the percentage of companies that do not require computer skills nor reading skills.

96. By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?

• A. 10%
• B. 13%
• C. 15%
• D. 19%

Explanation: To solve this problem, we need to determine the amount of liquid A in each solution and then calculate its percentage in the mixed solution. Liquid A makes up 8% of solution R and 18% of solution S. Therefore, in 3 grams of solution R, the amount of liquid A is 3g × 0.08 = 0.24g. Similarly, in 7 grams of solution S, the amount of liquid A is 7g × 0.18 = 1.26g. Adding these amounts gives us a total of 1.5g of liquid A in the mixture. The total weight of the resulting solution is 3g + 7g = 10g. Thus, the percentage of liquid A in the resulting solution is (1.5g / 10g) × 100% = 15%.Options A, B, and D are incorrect because they do not align with this calculated percentage. Option C is correct because it accurately reflects the calculated percentage of liquid A in the mixture.

97. What is the diameter of a circle whose area is 16π?

• A. 4
• B. 8
• C. 16
• D. 8π

Explanation: To find the diameter, first calculate the radius by using the formula for the area of a circle: Area of circle = πr^2. Given that the area is 16π, we get r = 4. The diameter is then found by multiplying the radius by 2, resulting in a diameter of 8. Option A is incorrect as it refers to the radius, Option C is incorrect as it provides a value double the diameter, and Option D is incorrect as it includes unnecessary π in the answer.

98. 7, 12, 22, 42, 82 Which of the following gives a rule for finding each term in the sequence after the first?

• A. Add 5 to the preceding number.
• B. Add 5 to the sum of all of the preceding terms.
• C. Double the preceding term and then subtract 2 from the result.
• D. Add 14 to the preceding term and divide that result by 2

Explanation: The correct rule to find the next term in the sequence is to double the preceding term and then subtract 2 from the result (Option C). This is verified as follows: Doubling 7 gives 14, and subtracting 2 gives 12, the next term. Continuing this process accurately predicts the sequence: 12 to 22, 22 to 42, and so on.Option A is incorrect because adding 5 works only for the first step, but fails subsequently. Option B is incorrect because adding 5 to the sum of all preceding terms does not produce the next term. Option D is incorrect because adding 14 and dividing by 2 gives results not consistent with the sequence.

99. Which of the following could be the x-intercept and y-intercept of a line that is perpendicular to the line 3x + 6y = 0 ?

• A. (-6, 0) and (0, 3)
• B. (3, 0) and (0, -6)
• C. (3, 0) and (0, 6)
• D. (6, 0) and (0, 3)

Explanation: Explanation:The above equation can be arranged as the straight line equation y=mx+cCoordinates forming the line are (-3,6) and the line passes from origin y intercept=zero Y= -3x/6 The gradient (m)=-3/6= -0.5perpendicular = -1 x 1/-0.5 = 2The trial and error method can be used to see what set of coordinates gives the gradient = 2A. (-6, 0) and (0, 3) =0.5B. (3, 0) and (0, -6) =2C. (3, 0) and (0, 6) = -2D. (6, 0) and (0, 3) = -0.5Hence option B is the correct answer..

100. If f(x) = -x + 7 and g(x) = 2x + 1, what is the value of g(f(2)) ?

• A. -11
• B. -5
• C. 5
• D. 11

Explanation: To find g(f(2)), start by evaluating f(2) using the function f(x) = -x + 7:f(2) = -(2) + 7 = 5.Next, substitute f(2) = 5 into g(x) = 2x + 1:g(5) = 2(5) + 1 = 10 + 1 = 11.Therefore, the value of g(f(2)) is 11, which is Option D.Options A, B, and C arise from missteps, such as incorrect substitution or arithmetic errors.