FREE Numerical Reasoning MCQ Questions and Answers

Question 1

An electrical retailer is giving all customers a 15% discount and club members an additional 25% discount on ovens. Henry, a member, spent $1200 on an oven and $100 on a toaster. How much did Henry pay for both products?

Accepted Answer

$850

Answer

First, calculate the total discount applied to the oven for a club member. The phrasing '15% discount and club members an additional 25% discount' implies a combined discount of 37.5% on the original price for club members. Thus, the oven's price is $1200 * (1 - 0.375) = $1200 * 0.625 = $750. The toaster costs $100, which is not discounted. Therefore, Henry paid a total of $750 (oven) + $100 (toaster) = $850.

Question 2

Four consecutive numbers added together equal 18. Which of these numbers is the highest?

Accepted Answer

6

Answer

Let the four consecutive numbers be x, x+1, x+2, and x+3. Their sum is x + (x+1) + (x+2) + (x+3) = 4x + 6. Given that the sum is 18, we set 4x + 6 = 18. Solving for x, we get 4x = 12, so x = 3. The four consecutive numbers are 3, 4, 5, and 6, with 6 being the highest.

Question 3

The bank employs 35 people. Basketball is enjoyed by 22 employees and rugby by 17 employees. There are 5 employees who have zero interest in sports. How many of the bank's employees enjoy both basketball and rugby?

Accepted Answer

9

Answer

First, determine the number of employees who enjoy at least one sport: 35 (total) - 5 (no interest) = 30 employees. Using the principle of inclusion-exclusion, the number of people who enjoy both sports is calculated as (Basketball fans + Rugby fans) - (Total sports fans). So, (22 + 17) - 30 = 39 - 30 = 9. Therefore, 9 employees enjoy both basketball and rugby.

Question 4

Best friends Amy and Shelly have a ton of hats between them. Amy would have half as many hats as Shelly if she had an additional five. Amy would own only one-fourth as many hats as Shelly if she donated five of her collection to charity.
What number of hats does Amy have?

Accepted Answer

15

Answer

Let Amy's hats be A and Shelly's hats be S. The first statement gives A + 5 = S/2, which simplifies to S = 2A + 10. The second statement gives A - 5 = S/4, which simplifies to S = 4A - 20. Setting the two expressions for S equal: 2A + 10 = 4A - 20. Solving for A, we get 30 = 2A, so A = 15. Amy has 15 hats.

Question 5

Four friends are sitting around playing cards. A number of cards held by the first player could be divided by 6 to produce a complete number. In a similar manner, full numbers can also be obtained by multiplying the number of cards held by the second player by 3, the third player's by 5, and the fourth player's by 4.
How few cards could each of the four players have possibly had?

Accepted Answer

18

Answer

The question asks for the minimum total number of cards the four players could have had. For the first player, the number of cards must be a multiple of 6, so the minimum is 6. For the second player, interpreting 'multiplying by 3 produces a full number' as the number of cards being a multiple of 3, the minimum is 3. Similarly, for the third player, the minimum is 5 (multiple of 5), and for the fourth player, the minimum is 4 (multiple of 4). Adding these minimums together (6 + 3 + 5 + 4) gives a total of 18 cards.

Numerical Reasoning Practice Test

Numerical Reasoning Practice Test

FREE Numerical Reasoning MCQ Questions and Answers