FREE Civil Service Exam Reviewer – Numerical Reasoning (2023)

1. 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.

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. 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?

4. The sum of two numbers is 10; their product is 20. Find the sum of their reciprocals.

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

6. By increasing the average speed of a motorist by 10 miles per hour, he would have save 36 minutes in traveling a distance of 120 miles. Find the average speed.

7. The sum of the squares of the digits of a certain two-digit positive integer is 20. The integer is 7 times of its digit. Find the integer.

8. 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?

9. 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?

10. Mr. Javier purchased a number of pencils for P180 and sold all except 6 at a profit of P2 per pencil. With the total amount received, he could buy 30 more items than before. Find the number of items bought and the cost of each in pesos.