numerical reasoning reviewer, Exercises of Mathematics

Download numerical reasoning reviewer and more Exercises Mathematics in PDF only on Docsity! Numerical Reasoning 1.) (2×1÷2), (4÷1×2), (6×1÷2), _____ a. 8 b. 16 c. 4 d. 32 2.) (15-8+3), 8, (4÷2×3), ____ a. 4 b. 3 c. 8 d. 2 3.) Simplify: 33 1/3 % of 48 + 12 ½ % of 96 – 44 4/9 % of 27 a. 12 b. 16 c. 24 d. 48 4.) 12 is 125% of what number? a. 9.6 b. 8 c. 9 d. 10 e. 8.6 5.) What percent of 16 is 40? a. 2.5% b. 2500% c. 1/4 d. 250% e. 25% 6.) 1 ¼ subtracted from its reciprocal is? a. –9/20 b. 0.45 c. 2.25 d. 9/20 e. –1/5 7.) What is the ratio of ¼ to 3/5? a. 1 : 3 b. 3 : 20 c. 5 : 12 d. 3 : 4 ____ __ 8.) What is the difference between √150 and √54? e. 5 : 4 a. 3 √6 b. 16 √6 c. √96 d. 6 √2 e. 2 √6 9.) A race car travelled for 2 ½ hours with an average speed of 132 5/8 km per hour. Find the total distance it covered. a. 264 5/16 km b. 331 9/16 km c. 330 5/16 km d. 135 1/8km 10.) 990 − (−2)2 + (−32) − (−4)2 = ? a. −28 b. −10 c. −9 d. 30 e. none of the above 11.) (100)0 + (−42)−22 = ? a. 19 b. −19 c. 13 d. 21 e. none of the above 12.) A one fourth percent of a number is 25. What is the number? a. 100 b. 1,000 c. 10,000 d. 100,000 13.) A mini grocery store has a sale of Php 6435, Php 6927, Php 6855, Php 7230 and Php 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Php 6500? a. Php 4991 b. Php 5991 c. Php 6001 d. Php 6991 14.) The mean median and mode of 9 numbers are equal. The numbers are 12, 22, 10, 15, 14, 11, 19, 17. What is the 9th number? a. 14 b. 12 c. 15 d. 18 e. 11 15.) The mean median and mode of 5 numbers are equal. The numbers are 29, 18, 24, 25. What is the 5th number? a. 24 b. 28 c. 29 d. 25 e. 18 16.) 90 increased by what percent of itself gives 180? a. 50% b. 90% c. 150% d. 100% e. 200% a. 18 b. 128 c. 396 d. 576 37.) 12 : 72 : : 8 : ___? a. 0 b. 32 c. 36 d. 38 38.) PEMDAS: 10÷2×5−(12÷3×4)+1 =__? a. 10 b. 1 c. −1 d. 23 e. None of the above 39.) Sum of all odd numbers between 60 to 120. a. 3775 b. 3050 c. 4000 d. 2700 40.) John walks everyday from his house to the police station. After walking at a rate of 2 meters/second for 3 minutes, he looks at his watch and realizes that he has to run 4 meters/second for 1 minute so he won’t be late. What is the distance from his house to the police station? a. 10 m b. 60 m c. 105 m d. 400 m e. 600 m 41.) Radicals: √0.000025 a. 0.5 b. 0.05 c. 0.005 d. 0.00005 42.) Number Series: 1/12, 1/6, 1/4, 1/3, ____ a. 1 b. 1/3 c. 5/12 d. ½ e. None of the above 43.) A chemist has 400 milliliters of a solution of 20% alcohol on hand, and he wants to mix it with enough pure alcohol to turn it into a 30% alcohol solution. How much pure alcohol will this require? a. 30 b. 40 c. 50 d. 60 e. 57 44.) What is the percentage decrease from 80 to 60? a. 33.33% b.) 25% c.) 20% d.) 75% e.) None of the above 45.) What is the percentage increase from 60 to 80? a. 33.33% b.) 25% c.) 20% d.) 75% e.) None of the above 46.) A businessman sells 60% English books and still has 28 English books. Originally, he had: a. 47 b.) 39 c.) 60 d.) 70 e.) None of the above 47.) Twelve and one half percent of 200 is what number? a. 112 b.) 12 c.) 50 d.) 25 e.) None of the above 48.) If the price of a book is first decreased by 25% and then increased by 20%, then the net change in the price will be : a. 10% b.) 20% c.) 30% d.) 40% e.) None of the above 49.) In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is: a. 20 L b. 30 L c. 40 L d. 60 L e. none of the above 50.) Participants in a certain conference from Luzon, Visayas, and Mindanao are in the ratio of 4:3:2. If there are 120 participants from Luzon, how many participants are there in all? a. 270 b. 150 c. 240 d. 420 e. None of the above Numerical Reasoning 1.) b. 16 (2×1÷2), (4÷1×2), (6×1÷2), (8×1÷2) Since (8÷1×2) is not found in the choices, so we have to solve this. (8÷1×2) = 16 2.) a. 4 (15-8+3), 8, (4÷2×3),___ 10, 8, 6, 4 3. b. 16 33 1/3 % of 48 + 12 ½ % of 96 – 44 4/9 % of 27 4.) a. 9.6 12 is 125% of what number? 12 = 1.25 × N 12/1.25 = N = 9.6 5.) d. 250% What percent of 16 is 40? N × 16 = 40 N = 40/16 = 2.5×100% = 250% 6.) a. –9/20 1 ¼ subtracted from its reciprocal is? 4/5 – 5/4 = 16/20 – 25/20 = –9/20 7.) c. 5 : 12 0.25 : 0.6 = 25:60 = 5:12 8.) e. 2 √6 √150 –√54 = √(25×6) √(9×6) = 5√6 3√6 = 2√6 9.) b. 331 9/16 km 132 5/8 × 2 ½ = 1061/8 × 5/2 = 5305×16 = 331 9/16 10.) a. −28 PEMDAS: 10÷2×5−(12÷3×4)+1 =__? 5×5−(4×4)+1 =__? 25−(16)+1 = 9+1 = 10 39.) d. 2700 (61+119){[(119-61)/2 +1]/2}= 180{[29+1]/2} = 180{15} = 2700 40.) e. 600 m Walk: 3×60=180×2 = 360meters Run: 1×60=60×4 = 240meters 360+240 = 600 meter 41.) c. 0.005 Radicals: √0.000025 = √(25/1000000) = 5/1000 = 0.005 42.) c. 5/12 1/12, 1/6, 1/4, 1/3, ____ 1/12, 2/12, 3/12, 4/12, 5/12 43.) e. 57 20%(400)+100%N = 30%(400+N) ignore percentage 8000+100N=12000+30N 100N-30N = 12000-8000 70N=4000 N = 4000/70 = 57.14 44.) b.) 25% Amount decrease/original amount × 100% = (80-60)/80 = 20/80= 0.25×100% = 25% 45.) a.) 33.33% Amount increase/original amount × 100% (80-60)/60=20/60 = 0.3333×100% = 33.33% 46.) d.) 70 40% of total is 28 0.4 × T = 28 T = 28/0.4 = 70 47.) d.) 25 12 1/2 % of 200 is what number? 0.125 × 200 = 25 48.) a.) 10% 100-25 = 75 75 + (75×20%) = 75+15 = 90 100-90 = 10 49.) d. 60 L ratio of milk and water 2 : 1 = 40 : 20 If this ratio is to be 1 : 2 = 40 : (20+20)×2= 40:80 80 – 20 = 60 50.) a. 270 4:3:2 = 120 : __ : __ 120/4 = 30; 30×3 = 90; 30×2 = 60 120+90+60 = 270