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 84 of 150

  • A. (2, -1)
  • B. (-1, 2)
  • C. (1, - 2)
  • D. (-1, -2)

Explanation: To find the center of the circle given by the equation x2 + y2 - 2x + 4y - 1 = 0, we compare it with the standard form (x - h)2 + (y - k)2…

Correct answer: (1, - 2)
  • A. n3
  • B. n(n+3)
  • C. 2n+3
  • D. n/4

Explanation: A is incorrect as assuming our odd integer is 3, cube of 3 is equal to 9, which is not even.

Correct answer: n(n+3)
  • A. 7/9
  • B. 2/3
  • C. 5/6
  • D. 13/18

Explanation: A is incorrect as 7/9 = 0.7777 B is incorrect as 2/3 = 0.6666 C is correct as 5/6 = 0.8333 0.833 is the biggest fraction compared to the…

Correct answer: 5/6
  • 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. Statements (1) and (2) together are not sufficient, and additional data is needed to answer the question
  • E. Each statement alone is sufficient

Explanation: A,B,C,D are incorrect as there isn't enough data given for statement 1 and statement 2 to have context.

Correct answer: Statements (1) and (2) together are not sufficient, and additional data is needed to answer the question
  • A. 1
  • B. 2
  • C. 7
  • D. 11

Explanation: A is incorrect as 1 is not a prime number. B is correct as 2 is the smallest prime number and its even.

Correct answer: 2
  • A. Less than 2 from original number
  • B. More than 200 from original number
  • C. Less than 20 from original number
  • D. More than 20 from original number

Explanation: Assuming our number to be 124, subtracting 2 from the tenth digit {2} will give us the answer 104, hence B is correct since 104 us 20 less…

Correct answer: Less than 20 from original number
  • A. 8th
  • B. 24th
  • C. 12th
  • D. 6th

Explanation: A is correct since there are 24 hours in one day, 48 hours in 2 days. To obtain the fraction of 6 hours against 48 hours, 48/6 = 8th.

Correct answer: 8th
  • A. 10
  • B. 11
  • C. 210
  • D. 250

Explanation: 210 and 252. Highest common factor is 42. 210 factors to = 2*5*3*7252 factors to = 2*2*3*3*7210/42 = 5252/42 = 65+6= 11 cartons

Correct answer: 11
  • A. For 3 litres of 2 spoons of sugar
  • B. For 2 litres of milk 5 spoons of sugar
  • C. For 8 litres of milk 15 spoons of sugar
  • D. For 4 litres of 2 spoons of sugar

Explanation: A, B, C are wrong as 15 spoons of sugar are required for 8 litres of milk.

Correct answer: For 8 litres of milk 15 spoons of sugar
  • A. 10
  • B. 20
  • C. 8
  • D. 40

Explanation: Initially, there's enough food for 800 men for 20 days, meaning the total food available is 800 men x 20 days = 16,000 man-days of…

Correct answer: 20
  • A. 12.5%
  • B. 15%
  • C. 11.11%
  • D. 20%

Explanation: To solve this problem, you need to understand the concept of maintaining a constant expenditure when the price of a product changes.

Correct answer: 11.11%
  • A. 66%
  • B. 1.66%
  • C. 60%
  • D. 1/60 %

Explanation: To determine what percent one minute is of an hour, recognize that there are 60 minutes in an hour.

Correct answer: 1.66%
  • A. 40%
  • B. 60%
  • C. 28.57%
  • D. 26.5%

Explanation: Saleh's salary = XMariah's salary= 1.4xHence,C is correct 1.4x-x/1.4x ×100 0.4x/1.4x ×1000.4/1.4 ×100 40/1.428.57%

Correct answer: 28.57%
  • A. 4x + 12
  • B. 4(x + 12)
  • C. 4(x - 12)
  • D. 4x - 12

Explanation: The correct expression for the statement 'The product of a number x and four decreased by twelve' is 4x - 12.

Correct answer: 4x - 12
  • A. bc
  • B. 2ac
  • C. -2bc
  • D. -2ac

Explanation: To simplify the expression a(b-c)-b(a+c)-c(a-b), start by expanding each term: a(b-c) = ab - ac, -b(a+c) = -ba - bc, -c(a-b) = -ca + cb.

Correct answer: -2ac
  • A. a - 3c
  • B. a + 5c
  • C. a + c
  • D. a - c

Explanation: Option D is correct as the simplification of the given expression results in a - c.

Correct answer: a - c
  • A. 17
  • B. 23
  • C. 27
  • D. 9

Explanation: A is correct asStart= 0 0-5=-5 (lose 5 yards) -5+32= 27 (gain 32 yards) 27-10= 17 (lose 10 yards) B,C,D are incorrect as the team gained…

Correct answer: 17
  • A. √49/64
  • B. √1.6
  • 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…

Correct answer: √49/64
  • A. -1/3
  • B. -1/4
  • 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…

Correct answer: -1/4
  • 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.

Correct answer: -10