Numerical Reasoning - Answer Key

131.) 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

 132.) a. 4
 (15-8+3), 8, (4÷2×3),___
 10, 8, 6, 4

133. b. 16
 33 1/3 % of 48 + 12 ½ % of 96 – 44 4/9 % of 27

134.) a. 9.6
 12 is 125% of what number?
 12 = 1.25 × N
 12/1.25 = N = 9.6

135.) d. 250%
 What percent of 16 is 40?
 N × 16 = 40
 N = 40/16 = 2.5×100% = 250%

136.) a. –9/20
 1 ¼ subtracted from its reciprocal is?
 4/5 – 5/4 = 16/20 – 25/20 = –9/20

137.) c. 5 : 12
 0.25 : 0.6 = 25:60 = 5:12

138.) e. 2 √6
 √150 –√54 = √(25×6) √(9×6)
 = 5√6 3√6 = 2√6

139.) b. 331 9/16 km
 132 5/8 × 2 ½ = 1061/8 × 5/2 = 5305×16 = 331 9/16

140.) a. −28
 1 – 4 + (−9) –16 = −3−9−16=−28

141.) b. −19
 1 + (−16) −4 = −19

142.) c. 10,000
 A one fourth percent of a number is 25.
 1/4 % × N = 25
 0.25 % × N = 25
 0.0025 × N = 25
 N = 25/0.0025 = 10,000

143.) a. Php 4991
 6500×6 = 39,000−(6435+6927+6855+7230+6562)
 = 4991

144.) c. 15
 (12+22+10+15+14+11+19+17)/8=120/8 = 15

145.) a. 24
 (29+18+24+25)/4 = 96/4 = 24

146.) d. 100%
 90 increased by what percent of itself gives 180?
 90 + 90N = 180
 90N = 180−90
 N = 90/90 = 1 × 100% = 100%

147.) a. 2,000
 500 × 4 = 2,000
If 500 or 25% of graduating class are girls

148.) d. 80%
8000-1600=6400÷8000=0.8×100% = 80%

149.) b. 16
 2N + 8 = 40; N = (40-8)/2 = 16

150.) c. 6 years
 38-(36-4) = 38-32 = 6

151.) d. 5
 100%, 2, 15/5, 4, ____?
 1, 2, 3, 4, 5

152.) d. 5/6
 1/6, 1/3, 1/2, 2/3, ____?
 1/6, 2/6, 3/6, 4/6, 5/6

153.) a. 8%
 250%÷5=50% 100%÷5=20%
 50%×2=100% 20%×2=40%÷5 = 8%

154.) a. 1 1/10
 0.1, 30%, 1/2, 0.7, 90%, ____?
 0.1. 0.3, 0.5, 0.7, 0.9, 1.1

155.) C

156.) D

157.) C

158.) D

159.) D

160.) D

161.) b. More than 1
1/2 ÷ 1/4 = 1/2 × 4/1 = 2
162.) c. 5 scoops
1/2÷ 1/10=1/2×10/1 = 10/2 = 5

163.) b. 72 8×10 = 80-8 = 72

164.) b. 49

165.) b. 22

166.) b. 18

167.) b. 32

168.) a. 10
PEMDAS: 10÷2×5−(12÷3×4)+1 =__?
 5×5−(4×4)+1 =__?
 25−(16)+1 = 9+1 = 10

169.) d. 2700
(61+119){[(119-61)/2 +1]/2}=
180{[29+1]/2} = 180{15} = 2700

170.) e. 600 m
Walk: 3×60=180×2 = 360meters
Run: 1×60=60×4 = 240meters
360+240 = 600 meter

171.) c. 0.005
 Radicals: √0.000025 = √(25/1000000)
 = 5/1000 = 0.005

172.) c. 5/12
 1/12, 1/6, 1/4, 1/3, ____
 1/12, 2/12, 3/12, 4/12, 5/12

173.) 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

174.) b.) 25%
 Amount decrease/original amount × 100% =
 (80-60)/80 = 20/80= 0.25×100% = 25%

175.) a.) 33.33%
 Amount increase/original amount × 100%
 (80-60)/60=20/60 = 0.3333×100% = 33.33%

176.) d.) 70
 40% of total is 28
 0.4 × T = 28
 T = 28/0.4 = 70

177.) d.) 25
 12 1/2 % of 200 is what number?
 0.125 × 200 = 25

178.) a.) 10%
 100-25 = 75
 75 + (75×20%) = 75+15 = 90
 100-90 = 10

179.) 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

180.) a. 270
 4:3:2 = 120 : __ : __
 120/4 = 30; 30×3 = 90; 30×2 = 60
 120+90+60 = 270

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