Civil Service Exam Reviewer 2026 | Numerical Reasoning | Difficulty: Medium to Hard

106. Which of the following has the largest numerical value? 1:11 a. 30% x 120 b. 35% of 100 c. 0.35 x 120 d. 1/4 of 160 e. 1/3 x 120 107. Given that a = 1/2, b = -1, and c = 3, solve for the following expression: (5c-b)^a/6a. 2:42 a. 1 b. 7/3 c. 4/3 d. 5/4 e. 8/3 108. What number must be added to each of the numbers 3, 4, 7, and 5 such that the sum of the square of the first two numbers is 65 less than twice the product of the last two numbers? 4:04 a. 8 b. 7 c. 4 d. 3 e. 2 109. What is the lowest term of 336/564? 7:27 a. 26/42 b. 28/47 c. 28/94 d. 42/94 e. 56/94 110 Which of the following expressions is equal to m = (1/3)(xy)^2? 10:18 a. x=3√m/y b. y=√(3mx) c. x=√(3m)/y d. y=3mx e. y=m/(3x) 111. The square root of the sum of 64 and 36 is _______. 11:18 a. 6 b. 8 c. 10 d. 12 e. 14 112. What percent of decrease does a drop from 50 to 40 have? 11:47 a. 10% b. 12% c. 20% d. 25% e. 35% 113. If an ordinary dice whose faces are numbered from 1 to 6 is tossed, what are the chances of obtaining a number of at least 3? 12:40 a. 1/6 b. 1/4 c. 1/2 d. 2/3 e. 5/6 114. Which of the following fractions is closest in value to 2/7? 13:27 a. 1/7 b. 3/10 c. 4/11 d. 3/8 e. 3/7 115. If 15 hours ago the time was 11:30 pm, what time is it now? 15:18 a. 8:30 pm b. 2:30 pm c. 1:30 pm d. 12:30 am e. 8:30 am 116. Mr. Smith has three daughters who go to school. The two daughters aged 6 and 10 years old are given P90 and P150 per day allowance respectively. Applying the same ratio on the allowance, how much does she need to give her 12 years old daughter? 16:54 a. P170 b. P180 c. P200 d. P210 e. P270 117. How many liters of alcohol must be added to 40 liters of a mixture which is 65% alcohol to obtain a mixture which is 80% alcohol? 18:17 a. 20 b. 24 c. 26 d. 28 e. 30 118. A folder is 25 1/4 cm wide. An employee wishes to place a fastener at the middle. If the holes of the fastener are 7 3/5 cm apart, how far from the left end of the folder will the first hole be bored? 22:00 a. 7 1/2 cm b. 8 33/40 cm c. 9 1/4 cm d. 9 7/40 cm e. 12 13/20 cm 119. A boy is x inches tall now. If his height increased by 10% a year. Which of the following expressions represent his height three years from now? 26:47 a. 3x + 0.3 b. 1.331x c. 1.1x d. 3.1x e. 0.3x 120. Line segment AB is 9 inches long. Point C is located between A and B so that the line AC is 1 1/2 inches shorter than twice line CB. What is the length of line AC? 29:09 a. 3 inches b. 4 1/2 inches c. 5 inches d. 5 1/2 inches e. 6 inches 121. Teacher Eden has 50 students. If she has 5 fewer female students than 4 times the number of male students, how many male students does she have? 37:09 a. 27 b. 23 c. 19 d. 15 e. 11 122. Mrs. Santos invests P21,000 at 8% interest rate. How much more must he invest at 9 1/2% interest to have an annual income of 9% of his total investments? 39:16 a. P25,000 b. P33,000 c. P36,000 d. P42,000 e. P47,000 123. Twenty percent of the 400 students at a certain high school has a family income which is below the poverty line. If 2/5 of these students are females, how many are males? 43:08 a. 32 b. 35 c. 45 d. 48 e. 52 124. At present, the number of government personnel in NCR is estimated at 450,000. If it gains 2.3% of this number by accession and loses 1.2% of this number by separation regularly each year for 5 years. How many government personnel are there in NCR at the end of the period? 44:21 a. 474,659 b. 474,683 c. 474,750 d. 474,824 e. 474,992 125. Two publishing firms are available to print a small company's newsletter. One printer can print an issue in 4 1/2 hours while the other printer can print an issue in 6 hours. How long will it take for the two printers to print at issue? 47:12 a. 2 hours b. 2 3/4 hours c. 2 4/7 hours d. 3 1/2 hours e. 3 2/3 hours 126. A football team has won 54 out of 75 games played. With 45 games still to go, what percentage of these must be won to give the team a record for the season of 60% games won out of all the games played? 49:29 127. The carpenter is constructing a frame for a rectangular picture. If the sides of the picture have a ratio of 4:3 and the shorter side is 42 cm long, how much framing material does the carpenter need to complete the frame? 52:21 128. Because of the prevailing peace and order problem, the mayor employed 380 police officers to ensure the safety of the town's 95,000 residents. Given this ratio, how many residents would be the responsibility of each police officer? 53:56 129. Leila invested 3/8 of her money in RTW and 3/8 of the remainder in cell phones. If she had P96,000, how much money did she invest in each business? 55:15 130. Mang Pedro has 209 mango trees and star apple trees. If he had 23 more mangoes and 18 fewer star apple trees, the number of mango trees would equal the number of star apple trees. How many mango trees does he have? 57:53