All Free Analytical and Logical Reasoning MCQs with Answers

• A. x = -21 only
• B. x = -7 or x = 3
• C. x = -3 or x = 7/3
• D. x = -7/3 or x = -3
• E. x= 3 or x = -7/3

Explanation: Split the middle term into two terms: 3x²-9x+7x-21=0 Factor the first two terms and the last two terms separately: 3x(x-3)+7(x-3)=0 Factor…

• A. (4x - 3) AND (5x + 2)
• B. (4x^2) AND (5x + 3)
• C. (4x + 2) AND (5x - 3)
• D. (4x + 3) AND (5x - 2)
• E. (4x + 3) AND (5x + 2)

Explanation: To find the factors of the quadratic equation ax2 + bx + c = 0, use the solutions x = 3/4 and x = -2/5.

• A. 81.0
• B. 92.0
• C. 94.0
• D. 94.4
• E. 96.6

Explanation: As shown in the explanation As shown in the explanationWe are given:Average of original list = 92.0Number of values = 4So, sum of original…

• A. m + 3
• B. m + 1
• C. m + 2
• D. m

Explanation: The arithmetic mean of 9 consecutive integers starting with m is calculated as the middle integer, which is the 5th integer in the…

• A. 5
• B. 8
• C. 9
• D. 10
• E. 11

Explanation: Simplify LHS.. (3x+2)(2x−5)=6x2−11x−10=ax2−n+k equate the coefficients... a=6 ; k = -11 and n = -10.. so a−n+k=6−(−10)+(−11)=6+10−11=5

• A. x-y=-4
• B. x-y=4
• C. x+y=4
• D. x+y=-4

Explanation: The equation x+y=-4 is correct because it matches the required slope and y-intercept of line l.

• A. 2
• B. 6
• C. 10
• D. 12

Explanation: To find where the graph crosses the y-axis, substitute x = 0 into y = 2x2 + 10x + 12.

• A. -28
• B. -16
• C. -12
• D. 16
• E. 28

Explanation: Matrices can be multiplied, the correct method gives the answer as such.

• A. 2
• B. 4
• C. 6
• D. 8

Explanation: Test each of the answer choices, making sure to include the negative possibilities.

• A. 1
• B. 2
• C. 3
• D. 4
• E. 5

Explanation: To find the distance between these two points, we can use the distance formula: d = |x₂ - x₁| where x₁ = -1 and x₂ = -4.

• A. It has a negative slope and a positive y-intercept.
• B. It has a positive slope and a negative y-intercept.
• C. It has a positive slope and a positive y-intercept.
• D. It has a negative slope and a negative y-intercept.

Explanation: The graph of the equation 2y - 3x = -4 has a positive slope and a negative y-intercept.

• A. -5
• B. 1
• C. 5
• D. -1

Explanation: Now, to find the value of |a-b|, we can use the absolute value of the difference between a and b.

• A. A
• B. B
• C. C
• D. D

Explanation: Choice D is correct because it provides a model in the form of an increasing curve that closely follows the trend of the data points in…

• A. 150 ≤ s ≤ 170
• B. s < 150
• C. s > 170
• D. s < 150 or s > 170

Explanation: The correct answer is 150 ≤ s ≤ 170. This inequality accurately represents the range of the cruising speed as described in the problem.

• A. A
• B. B
• C. C
• D. D

Explanation: Choice A is correct. In each choice, the values of x are 2, 4, and 6. Substituting the first value of x, 2, for x in the given inequality…

• A. x4 + 23x2 - 14
• B. x4 + 23x2 + 96
• C. x4 + 12x2 +121
• D. x4 + x2 + 146

Explanation: Choice B is correct. The expression (x2 + 11)2 can be written as (x2 + 11)(x2 + 11), which is equivalent to x2(x2 + 11) + 11(x2 + 11).

• A. y = 2x + 18
• B. y = 2x + 8
• C. y = 8x + 2
• D. y = 3x + 26

Explanation: Choice C is correct. It's given that the relationship between x and y is linear.

• A. 2
• B. 9
• C. 15
• D. 21

Explanation: Choice D is correct. If a data set contains an odd number of data values, the median is represented by the middle data value in the list…

• A. √3/54
• B. 1/√3
• C. √3
• D. 27√3

Explanation: Choice C is correct. In the triangle shown, the measure of angle B is 30° and angle C is a right angle, which means that it has a measure…

• A. C = 40(1.19)t
• B. C = 40(1.9)t
• C. C = 40(19)t
• D. C = 40(2.9)t

Explanation: Choice D is correct. It's given that an exponential model estimates that the number of comments on an article increases by a fixed…