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. A rectangular garden lot  16 by 24 m is to be bordered by a strip of a uniform width x so as to double the area. Find x.

4. 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?

5. 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?

6. Lita is 41 years old and her daughter is 9. In how many years will the mother be three times as old as her daughter?

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

8. A coin purse contains 5 cents, 10 cents, and 25 cents coins. The number of 10-centavo coins is three times as many 5-centavo coins, and the 25-centavo coins is two more than the 10-centavo coins. If the total value of its content is P4.90, how many of each kind of coins are in the purse?

9. The sides of a triangle are 6, 8, and 15 inches long. In a similar triangle, the longest side is 21. Find the other two sides.

10. 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?