FREE Civil Service Exam Reviewer – Numerical Reasoning (2023)

1. Three times the tens digit of a certain two-digit number is two more than four times the units digit. The difference between the number given and the number obtained by reversing the digits is two less than twice the sum of the digits. Find the number.

2. Forty liters of a 60% salt solution are reduced to a 45% solution. How much solution must be drained off and replaced with distilled water so that the resulting solution contains only 45% solution.

3. Divide 60 into two parts with the ratio 2:3.

4. Alex can finish an engineering work in 8 hours. Leo can finish the same work in 6 hours. After 2 hours of working together, Alex left for lunch and Leo finished the job. How long does it take Leo to finish the job?

5. A man purchased a number of balloons, each of the same prices, for a total of P720. He sold them all at P40 each, thus realizing the profit equal to his 8 balloons. How many did he buy?

6. Mike has twice as many 25-centavo coins than 10-centavo coins. If he has a total of P60, how many of each kind of coin are there?

7. Divide 67 into two parts whose product is 1120.

8. A picture 8 inches by 12 inches is placed in a frame which has a uniform width. If the area of the frame is equal to the area of the picture, find the width of the frame.

9. Mrs. Altares boarded a bus bound for Baguio at exactly 4 A.M. After one and one-half hours her husband followed driving the family car at 75 mph. Assuming that the bus was traveling at an average speed of 50 mph, at what time would Mr. Altares’ car overtake the bus?

10. Six years ago, Jim was four times as old as Fe. In four years, he would be twice as old as Fe. How old are they now?