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 88 of 150

  • A. 103
  • B. 105
  • C. 204
  • D. 444

Explanation: The very first solution that comes to our mind is the one that we learned in school.

Correct answer: 103
  • A. 401
  • B. 403
  • C. 405
  • D. 2001

Explanation: The sequence of 5 consecutive positive integers whose sum is 2005 is 399, 400, 401, 402 and 403. Hence the largest is 403.

Correct answer: 403
  • A. 1
  • B. 2
  • C. 3
  • D. 5

Explanation: 3 (, 9 - in a specific case) Showing the work. The teacher distributed 77(80-3) jellybeans among the girls in class.

Correct answer: 3
  • A. 150 m
  • B. 180 m
  • C. 210 m
  • D. 240 m

Explanation: The river is 120 metres wide. If one quarter of the bridge is over the left bank and another quarter is over the right bank, this means…

Correct answer: 240 m
  • A. 19/ 8
  • B. 20/9
  • C. 23/13
  • D. 21/10

Explanation: It equals 1.7692307. As it is less than 2, this option will be marked as the correct option.

Correct answer: 23/13
  • A. 15%
  • B. 20%
  • C. 25%
  • D. 46%

Explanation: To solve the question, we first determine the percentage of students who have bicycles.

Correct answer: 15%
  • A. A twelfth
  • B. An eighth
  • C. A quarter
  • D. A third

Explanation: When the pizza is first cut to quarters it has four parts, with every quarter cut into thirds the pizza has 12 parts, now each piece is…

Correct answer: A twelfth
  • A. 6x+2
  • B. 2x
  • C. -2x
  • D. x - 2

Explanation: Here assuming x is 1, the answer becomes 2, thus it is clearly seen that the only positive hence largest integer is 2.

Correct answer: -2x
  • A. 10%
  • B. 12%
  • C. 13%
  • D. 33.5%

Explanation: To solve this problem, first determine the initial composition of the solution: 30 kg of solution A contains 80% water and 20% liquid M.

Correct answer: 33.5%
  • A. 25%
  • B. 30%
  • C. 40%
  • D. 50%

Explanation: To find out how much cheaper it is to buy the box of candy bars than buying them individually, first calculate the cost of buying 12 candy…

Correct answer: 25%
  • A. The quantity on the left is greater
  • B. Both are equal
  • C. The quantity on the right is greater
  • D. The relationship cannot be determined without further information

Explanation: Factors of 36 are those numbers that divide 36 completely without leaving any remainder.

Correct answer: Both are equal
  • A. 1x63y115
  • B. None of these
  • C. 243x7y17
  • D. 9x7y17

Explanation: To find the cube root of 729x21y51, apply the cube root to each component separately. The cube root of 729 is 9 because 93 = 729.

Correct answer: 9x7y17
  • A. 5
  • B. 3
  • C. -3
  • D. -5

Explanation: In order to solve this nonlinear equation, we will apply the zero product theorem.

Correct answer: -5
  • A. 3
  • B. 12
  • C. 14
  • D. 15

Explanation: The discriminant of a quadratic equation ax2 + bx + c = 0 is given by b2 - 4ac.

Correct answer: 3
  • A. 6n2+15n+ 10
  • B. 6n2+30n+25
  • C. 9n2+30n+25
  • D. 9n2+6n+ 10

Explanation: Expand the expression using (a+b)² =a2+2ab+b²: (3n)²+2x3n×5+52 Simplify using exponent rule with same exponent (ab)" =ar.b": 32…

Correct answer: 9n2+30n+25
  • A. 0.2
  • B. 0.3
  • C. 0.4
  • D. 0.5

Explanation: If the eight numbers are a, b, c, d, e, f, g, h. Following equation can be formed (a+b+c+d+e+f+g+h)/8= 7.5 ---- (1) If h is deleted, the…

Correct answer: 0.5
  • A. 41 and 59
  • B. 65 and 72
  • C. 56 and 80
  • D. 21 and 52

Explanation: Known numbers in ascending order are; 35, 43, 54, 77, 83 For 54 to remain median, one of the x and y should be greater and other less than…

Correct answer: 41 and 59
  • A. 82
  • B. 84
  • C. 85
  • D. 79

Explanation: To determine the median, we need to arrange the numbers in ascending order.

Correct answer: 82
  • A. Cubic
  • B. Exponential
  • C. Linear
  • D. Quadratic

Explanation: If the graph is plotted, it is shown to be a straight line.

Correct answer: Linear
  • A. y = 6x - 2
  • B. y = 3x + 2
  • C. y = 3x-2
  • D. y = -6x - 4
  • E. y = −6x - 4

Explanation: To convert the equation 6x - 2y - 4 = 0 into slope-intercept form (y = mx + b), isolate y by moving all terms not containing y to the…

Correct answer: y = 3x-2