All Free Analytical and Logical Reasoning MCQs with Answers
Every Analytical and Logical Reasoning question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
2,989 questions · page 80 of 150
- A. 18
- B. 20
- C. 40
- D. 80
Explanation: To find x5y5, multiply the two given equations: (x2y3 = 10) and (x3y2 = 8). The left side becomes x2+3y3+2 = x5y5.
Correct answer: 80- A. 50
- B. 60
- C. 70
- D. 80
Explanation: Let x be the time in seconds.The copier makes 7 copies every 5 seconds, so the rate is 7/5 copies per second.Now, set up the…
Correct answer: 50- A. b
- B. c
- C. a
- D. 2
Explanation: Equate both the expressions a+b - c/x + 4c - 3a + 2b/b = a+b + 4c + 2b/b - c/a - 3a Solve for the value of x.
Correct answer: a- A. 60
- B. 65
- C. 70
- D. 30
Explanation: To solve the problem, first understand the statement '75% of 68 is the same as 85% of n'.
Correct answer: 60- A. 2005002005
- B. 20052005
- C. 2007005
- D. 202505
Explanation: 200500 + 2005 equals 202505 Hence according to place value this is the correct answer.
Correct answer: 202505- A. 9
- B. 214
- C. 223
- D. 2007
Explanation: To solve the expression, follow the BODMAS rule: 1. Calculate inside the parentheses first: (2+0+0+7) = 9. 2.
Correct answer: 223- A. 5
- B. 6
- C. 7
- D. 10
Explanation: To solve this question, we need to find the number that, when squared, increases by 500% compared to its original value.First, understand…
Correct answer: 6- A. 5 litres
- B. 6 litres
- C. 8 litres
- D. 12 litres
Explanation: A full container holds 12 litres. Being 3/4 full means it contains 9 litres (as 3/4 of 12 is 9).
Correct answer: 5 litres- A. 4
- B. 11/3
- C. 7/2
- D. 25/7
Explanation: To solve 8x-3 = 164-x, express both numbers as powers of 2: 8 = 23 and 16 = 24. Thus, rewrite the equation as (23)x-3 = (24)4-x.
Correct answer: 25/71590. If 3x= 27 and 22x= ?
- A. 32
- B. 64
- C. 8
- D. 9
Explanation: To solve the problem, first determine the value of x from the equation 3x = 27.
Correct answer: 64- A. 6n2-20
- B. 6n2-19n - 20
- C. 6n2 - 29n - 20
- D. 6n2+ 19n - 20
Explanation: Apply Multiplicative Distribution Law: 6n(n+4)-5(n+4) Apply Multiplicative Distribution Law: 6nxn+6n×4-5n-5×4 Multiply the monomials…
Correct answer: 6n2+ 19n - 201592. (6a - 12) - (4a + 4) = ?
- A. 2(a+2)
- B. 2(a + 4)
- C. 2(a-2)
- D. 2(a-8)
Explanation: To solve this problem, combine like terms, keeping track of the negatives.
Correct answer: 2(a-8)- A. 994
- B. 1019
- C. 1988
- D. 4001
Explanation: Let the missing number be x (25 + x)/2 = 2013 25+x= 2013 × 2 25+ x= 4026 x=4026-25 x= 4001
Correct answer: 4001- A. Quadrant I only
- B. Quadrant II only
- C. Quadrant III only
- D. Quadrant I or II only
- E. Quadrant I or III only
Explanation: Option E is correct since both quadrant I and III has x-axis and y-axis with similar signs.
Correct answer: Quadrant I or III only- A. ma= -1/mb
- B. ma+mb=0
- C. -1/2ma = mb
- D. ma-1=mb
- E. ma - mb = 0
Explanation: The correct answer is a. Perpendicular lines intersect to form right angles, and their slopes are negative reciprocals of each other.
Correct answer: ma= -1/mb- A. y = 1/2x + 2
- B. y=2x-2
- C. y = 2x + 4
- D. y = 2x + 10
- E. y = 3x + 2
Explanation: Parallel lines have the same slope, so a line parallel to y = 2x + 2 should also have a slope of 2.
Correct answer: y=2x-2- A. -3
- B. -⅔
- C. ⅔
- D. 2
Explanation: To find the slope of any line parallel to 2x - 3y = 7, rearrange the equation to y = mx + b.
Correct answer: ⅔- A. A
- B. B
- C. C
- D. D
Explanation: The correct answer is Option C because the coordinates (2, -5) indicate a point 2 units to the right of the origin on the x-axis and 5…
Correct answer: C- A. y = (x-3)2-8
- B. y = (x+3)2+8
- C. y=2(x-3)2-8
- D. y = 2(x+3)2 - 8
Explanation: Given the focus (h,k) and the directrix y=mx+b, the equation for a parabola is (y - mx - b)2 / (m2 +1) = (x - h)2 + (y - k)2.Using the…
Correct answer: y=2(x-3)2-8- A. x(7-4y)
- B. x - y + 3x
- C. -8xy + 3x
- D. 7x-4y
- E. -4y-x
Explanation: To simplify the expression 4x - 4y + 3x, first combine the like terms, which are the terms involving 'x'. Add 4x and 3x to get 7x.
Correct answer: 7x-4y