Category: Mathematics

A. 162
B. 200
C. 243
D. 256

Solution:
Each term ×3 → Next = 81×3= 243
Answer: C

A. 20%
B. 22%
C. 24%
D. 25%

Solution:
CP = 80×12 = 960, SP = 80×15 = 1200
Profit = 240 → %Profit = (240/960)×100 = 25%
Answer: D

A. 30 km/h
B. 36 km/h
C. 40 km/h
D. 45 km/h

Solution:
Speed = Distance ÷ Time = 120 ÷ 12 = 10 m/s
= 10 × 18/5 = 36 km/h
Answer: B

A. 35
B. 40
C. 45
D. 50

Solution:
Let ages = 5x, 2x
After 10 yrs → (5x+10)/(2x+10) = 7/3
Cross multiply → 15x+30 = 14x+70 → x=40
Father = 5x= 50
Answer: D

A. 100
B. 150
C. 200
D. 300

Solution:
LCM(15,20,25)=300
Answer: D

A. 150%
B. 200%
C. 220%
D. 250%

Solution:
A = 0.4B → B = A ÷ 0.4 = 2.5A
So, B is 250% of A
Answer: D

A. 6.5 km/h
B. 6.8 km/h
C. 7 km/h
D. 7.5 km/h

Solution:
Time = 30/5 + 40/10 = 6+4=10 h
Total distance = 70
Average speed = 70/10= 7 km/h
Answer: C

A. 37.5 km/h
B. 38 km/h
C. 40 km/h
D. 42 km/h

Solution:
Average Speed = (2xy) ÷ (x + y) = (2×30×50) ÷ (30+50) = 3000 ÷ 80 = 37.5
Answer: A

A. 5 days
B. 6 days
C. 8 days
D. 10 days

Solution:
3M = 6W → 1M = 2W
So, 6M + 8W = 12W + 8W = 20W
Given 6W → 20 days → total work = 6×20 = 120 woman-days
20W → 120 ÷ 20 = 6 days
Answer: B

A. 15%
B. 18%
C. 20%
D. 25%

Solution:
Gain = 240 – 200 = 40
%Gain = (40/200) × 100 = 20%
Answer: C