All Free Analytical and Logical Reasoning MCQs with Answers

• A. 100/120 = 54/k
• B. 54/100 = 120/k
• C. 100/54 = 120/k
• D. 120/100 = 54/k

Explanation: To solve the problem of finding what number (k) 54 is 120% of, we first convert 120% into a fraction: 120% = 120/100.We set up the…

• A. $3240
• B. $5150
• C. $5870
• D. $6250

Explanation: To solve this problem, we need to determine what Paul's monthly salary is if Kevin's salary is 72% of it.

• A. $580.00
• B. $620.00
• C. $650.00
• D. $680.00

Explanation: To solve this problem, we need to determine the original price of the cellphone before any discounts were applied.

• A. 24
• B. 26
• C. 30
• D. 32

Explanation: To solve this problem, we need to determine the amount of the 40% acid solution (x) to mix with the 30% acid solution to achieve a 36%…

• A. 70
• B. 80
• C. 90
• D. 100

Explanation: To find the original price of the backpack, let's denote it as $x.First, a 50% profit is added, making the price 1.5x.

• A. 200
• B. 218
• C. 400
• D. 435

Explanation: The problem requires calculating the number of students who play varsity sports using given percentages.

• A. 12%
• B. 20%
• C. 25%
• D. 30%

Explanation: To solve this problem, you need to understand the concept of percentage savings.

• A. increased by 90%
• B. increased by 10%
• C. unchanged
• D. decreased by 10%

Explanation: The given equation is a = 3.2bc. We are told that b is increased by 150%, making the new value of b = 2.5b (since 150% of b is 1.5b…

• A. 125
• B. 120
• C. 105
• D. 90

Explanation: Start by translating the sentence into an equation: n = 120% * n - 25 We can simplify 120% as 1.2: n = 1.2n - 25 Now we can solve for n: n…

• A. 30%
• B. 50%
• C. 75%
• D. 125%

Explanation: The question asks us to determine how much greater the number of blue cars is compared to the number of red cars in percentage terms.

• A. 3-y
• B. y-3
• C. y+3
• D. 3y

Explanation: The original equation is 2x/2y = 23. Using the quotient rule for exponents, we have 2x-y = 23. This means that x - y = 3.

• A. 0
• B. 1
• C. 2
• D. -2

Explanation: The smallest integer that, when squared, is less than 5 is -2. This is because (-2)2 = 4, which is less than 5.

• A. 2
• B. ½
• C. 1
• D. 3

Explanation: As given,y3= 2y2Rearranging,y3/y2= 2y 3-2= 2y1 = 21y = 2Hence, the value of y must be 2.

• A. 2 x 5 + 4
• B. 2 x (4+5)
• C. 5 x (2+4)
• D. 4 x (2+5)

Explanation: The correct option is B: 2 x (4+5). According to the BODMAS rule, solve the expression inside the brackets first, which is 4 + 5, giving…

• A. mr
• B. nr
• C. nr/m
• D. mr/n

Explanation: If n books cost r rupees, you can find the cost of m books using the concept of proportionality.

• A. 2, 2.6, 8/3, 2 ¾
• B. 2, 2 ¾ , 2.6, 8/3
• C. 2, 2.6, 2 ¾ , 8/3
• D. 2, 8/3, 2.6, 2 ¾

Explanation: 2 is the smallest 2 ¾ is larger than 2, 2.6 and 8/3 2.6 is smaller than 2 ¾ 8/3 is smaller than 2 ¾ but larger than 2.6 and 2 So, the…

• A. 10
• B. 15
• C. 20
• D. 40

Explanation: To solve the problem, first calculate the total number of minutes in a day by multiplying 24 hours by 60 minutes, which equals 1440…

• A. 14.27 % gain
• B. 15% gain
• C. 14 2/7% loss
• D. 15% loss

Explanation: To find the percentage of profit or loss, first determine the cost price and selling price per orange. The cost price of 1 orange is Rs.

• A. $169
• B. $221
• C. $280
• D. $23

Explanation: To calculate the monthly payment for a simple interest loan with equal installments, use the formula:Monthly Payment = (Principal +…

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

Explanation: The original price of the television is represented by t dollars. When a 15% discount is given, the new price is calculated as 85% of the…