Free Quantitative Reasoning MCQs with Answers

501. Read the following and choose the correct answer X, Y and Z are three whole numbers less than 31 but greater than 23. X is a prime number. Y is the largest odd number smaller than 35. Z is the smallest even number?

• A. X is 31, Y is 29 and Z is 24
• B. X is 29, Y is 29 and Z is 24
• C. X is 23, Y is 29 and Z is 24
• D. X is 27, Y is 31 and Z is 26

Explanation: According to the given question21 is not a prime number so, option A is incorrect.Z is 24 which is not a smallest even number this eliminating option C.As 27 which is not a prime number and z is 26 which is not a smallest even number this rules out option D as well.So the correct option is B.

502. Read the following and choose the correct answer : " P, Q and R are one-digit, non-negative numbers. P is the smallest even number. Q is the largest odd number. R is 5."

• A. P+Q+R= 16
• B. P+Q +R =12
• C. (Q+R) ×P= 30
• D. (Q+R) ×P= 8

Explanation: Let's determine the values of P, Q, and R first:P is the smallest even number → P = 2Q is the largest odd number → Q = 9R is given as 5So adding them makes 16

503. If the stay of 6 men for 14 days in a hotel costs Rs.3360, find the cost for stay of 4 men for 7 days in the same hotel?

• A. 823
• B. 1120
• C. 1372
• D. 2520

Explanation: In the question, we are given that it costs Rs. 3360 for 6 men to stay at a hotel for 14 days. We would like to find out the cost of staying at the hotel for one man for one day. If 6 men were to stay at the hotel for one day, the cost would be 3360 / 14 = Rs. 240. If 1 man was to stay at the hotel for one day, the cost would then be 240/6 = Rs. 40. We now know that the cost to stay at the hotel is Rs. 40 per day per person. To find the total cost for 4 men staying for 7 days, we multiply these numbers by the cost to stay at the hotel per day per person. 40x4x7 = Rs. 1120. Therefore B is the correct answer.

504. If sum of the two numbers is-9 and their product is-36, then the numbers are:

• A. 12, -3
• B. -12, 3
• C. -12, -3
• D. 9, -4

Explanation: Instead of forming two simultaneous equations (a + b = -3 & ab = -36) and solving them, it is often advantageous and time efficient to quickly scan the answers and see which ones fit the given requirements. In this case, only answer B meets the initial condition that a+b = -3 and 3x-12 = -36 too, so B is the correct answer.

505. If the area of a circle is equal to its circumference the radius of this circle is:

• A. 1
• B. 2
• C. 3
• D. 4

Explanation: πr2=2πr⟹r=2.The correct option is B. 2. The area of a circle is given by the formula A = πr^2, where r is the radius. The circumference of a circle is given by the formula C = 2πr. If the area of a circle is equal to its circumference, we can set up the equation πr^2 = 2πr. Simplifying this equation, we get r = 2.Therefore, the radius of this circle is 2.AS, IT IS NUMERICALLY DERIVATED SO IT COULD HAVE ONLY ONE ANSWER.