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 79 of 150
- A. 83
- B. 111
- C. 69
- D. None
Explanation: When two lines, such as AB and CD, are parallel, and a transversal crosses them, the angles on the same side of the transversal are…
Correct answer: 111- A. I & IV
- B. I & III
- C. II & IV
- D. IV & V
Explanation: Option C is correct as the information is to find the angle at B(ii) states that Angle BCD= 100° i.e Angle BCA= 180°-100° =80°(as angle on…
Correct answer: II & IV1563. If u > t, r > q, s > t, and t > r, which of the following must be true?I. u > sII. s > qIII. u > r
- A. I, II, and III
- B. II only
- C. III only
- D. I and II
- E. II and III
Explanation: The solution involves organizing the given inequalities to find the necessary logical relationships between variables:u > tr > qs > tt >…
Correct answer: II and III- A. k is a multiple of 2.
- B. k is a positive integer.
- C. When 2k is divided by 4, the remainder is 1.
- D. k/4 is an even integer.
Explanation: in = 1 if and only if n is a multiple of 4. (i4 = 1, i8= 1, i12 = 1, etc.) Therefore, if i2k = 1, then 2k must be a multiple of 4, and…
Correct answer: k is a multiple of 2.- A. Quantity A is greater.
- B. Quantity B is greater.
- C. The two quantities are equal.
- D. The relationship cannot be determined from the information given.
Explanation: To find the area of the shaded region PQS, note that PQS forms a right triangle with base PQ and height QS.
Correct answer: The two quantities are equal.- A. 48
- B. 29
- C. 53
- D. 40
Explanation: To solve the equation 4x + 9y when x = 2 and y = 5, substitute the values into the equation: 4(2) + 9(5).
Correct answer: 53- A. $600
- B. $400
- C. $200
- D. $240
Explanation: To solve this, we set John's rent as $x and Peter's rent as $2x because his room is twice as big.
Correct answer: $400- A. 196
- B. 154
- C. 200
- D. 156
Explanation: A, B, C are incorrect, as 156cm is the correct average height. D is correct as the total height of 10 students = 10 x 155 = 1550 cm.
Correct answer: 156- A. 30yt
- B. 200yt
- C. 20y+10t
- D. 10y+20t
Explanation: To find the total number of text messages Mario received for two days, calculate the messages for each day separately:For yesterday, with…
Correct answer: 10y+20t- A. -44
- B. -20
- C. 20
- D. 44
Explanation: The correct answer is Option B: -20.By solving the equation 3/4a + 24 = 9, we find that a = -20 after isolating the variable.
Correct answer: -20- A. x is 3
- B. x is 4
- C. x is 5
- D. The equation is true for all values of x.
Explanation: The correct answer is Option D: The equation is true for all values of x.By simplifying both sides using the BODMAS rule, it can be seen…
Correct answer: The equation is true for all values of x.1572. g(x)=kx3+3For the function g defined above, k is a constant and g(-1)=5. What is the value of g(1) ?
- A. -3
- B. -1
- C. 1
- D. 3
Explanation: To find the value of k, you can use the given condition g(-1) = 5:5 = k(-13) + 3k = -2Substitute k = -2 back into the function to find…
Correct answer: 1- A. x + 2y = 2
- B. x - 2y = 6
- C. 2x - y = 9
- D. 2x+y=7
Explanation: The equation for the line is y=mx+cWe have the value of m = slope = -2 and it passes through point (4,-1) so, x = 4 and y = -1Substitute…
Correct answer: 2x+y=7- A. The slope of line L is zero.
- B. The slope of line L is undefined.
- C. The slope of line L is positive.
- D. The slope of line L is negative.
Explanation: The correct answer is Option C. A positive slope enables the line to rise from left to right, intersecting Quadrants I, III, and IV while…
Correct answer: The slope of line L is positive.- A. 1:45 PM
- B. 2:00 PM
- C. 2:15 PM
- D. 2:30 PM
Explanation: Constant speed is equal distance covered in equal time periods So he will cover the rest of the distance by the same time intervals as…
Correct answer: 2:00 PM- A. 10.5 meters
- B. 11.5 meters
- C. 12.5 meters
- D. 13.5 meters
Explanation: We are given two expressions that represent the distance to the finish line for Jason and Mary at time t seconds:Jason: -8t + 200Mary…
Correct answer: 12.5 meters- A. 360 mi2
- B. 720 mi2
- C. 1080 mi2
- D. 1800 mi2
Explanation: To find the area of the state in square miles, convert the dimensions from inches to miles using the given scale.
Correct answer: 1800 mi21578. 1/400 in percentage =
- A. 0.25%
- B. 0.025%
- C. 0.0025%
- D. 0.00025%
Explanation: First convert the fraction into decimals.1/400 = 0.0025To convert this decimal to a percentage, we can multiply it by 100:0.0025 x 100% =…
Correct answer: 0.25%- A. 18.5
- B. 20
- C. 22.5
- D. 25
Explanation: To solve the question, we apply the concept of mixtures and percentages. We define x as the volume of the 34% acid solution in mL.
Correct answer: 25- A. 58
- B. 70
- C. 120
- D. 140
Explanation: To solve this problem, use the formula for percentage increase: new number = original number × (1 + x/100).
Correct answer: 140