Q. A boat goes downstream at a speed of 20 km/h and upstream at 10 km/h. What is the speed of the boat in still water? (2022)
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
Show solution
Solution
Speed in still water = (Downstream speed + Upstream speed) / 2 = (20 + 10) / 2 = 15 km/h.
Correct Answer:
A
— 15 km/h
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Q. A bottle contains 1 liter of a solution that is 30% salt. How much salt is in the solution? (2022)
A.
100 g
B.
200 g
C.
300 g
D.
400 g
Show solution
Solution
Amount of salt = 30% of 1 liter = 0.3 liters = 300 g (since 1 liter of water is approximately 1000 g).
Correct Answer:
C
— 300 g
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Q. A bus travels 120 km at a speed of 60 km/h and returns at a speed of 40 km/h. What is the average speed for the entire trip? (2023)
A.
48 km/h
B.
50 km/h
C.
52 km/h
D.
54 km/h
Show solution
Solution
Time for first part = 120/60 = 2 hours. Time for return = 120/40 = 3 hours. Total time = 2 + 3 = 5 hours. Average speed = Total distance / Total time = 240 km / 5 hours = 48 km/h.
Correct Answer:
A
— 48 km/h
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Q. A bus travels 120 km in 2 hours and then 180 km in 3 hours. What is the average speed of the bus? (2023)
A.
60 km/h
B.
70 km/h
C.
75 km/h
D.
80 km/h
Show solution
Solution
Total distance = 120 + 180 = 300 km. Total time = 2 + 3 = 5 hours. Average speed = 300 km / 5 hours = 60 km/h.
Correct Answer:
C
— 75 km/h
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Q. A bus travels from city A to city B, a distance of 120 km, at a speed of 60 km/h. How long does the journey take? (2023)
A.
1 hour
B.
1.5 hours
C.
2 hours
D.
2.5 hours
Show solution
Solution
Time = Distance / Speed = 120 km / 60 km/h = 2 hours.
Correct Answer:
C
— 2 hours
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Q. A bus travels from city A to city B, a distance of 120 km, at a speed of 60 km/h. How long does it take to reach city B? (2023)
A.
1 hour
B.
1.5 hours
C.
2 hours
D.
2.5 hours
Show solution
Solution
Time = Distance / Speed = 120 km / 60 km/h = 2 hours.
Correct Answer:
C
— 2 hours
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Q. A car covers a distance of 150 km in 3 hours. What is its speed in km/h? (2023)
A.
45 km/h
B.
50 km/h
C.
55 km/h
D.
60 km/h
Show solution
Solution
Speed = Distance / Time = 150 km / 3 h = 50 km/h.
Correct Answer:
B
— 50 km/h
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Q. A car travels 100 km in 1.5 hours. What is its average speed? (2019)
A.
60 km/h
B.
65 km/h
C.
70 km/h
D.
75 km/h
Show solution
Solution
Average speed = Distance / Time = 100 km / 1.5 hours = 66.67 km/h, which rounds to 60 km/h.
Correct Answer:
A
— 60 km/h
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Q. A car travels 150 km in 2 hours and then 100 km in 1 hour. What is the average speed of the car? (2022)
A.
75 km/h
B.
80 km/h
C.
85 km/h
D.
90 km/h
Show solution
Solution
Total distance = 150 km + 100 km = 250 km. Total time = 2 hours + 1 hour = 3 hours. Average speed = Total distance / Total time = 250 km / 3 hours = 83.33 km/h, which rounds to 80 km/h.
Correct Answer:
B
— 80 km/h
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Q. A car travels 150 km in 2 hours and then 100 km in 1 hour. What is the average speed of the car for the entire trip? (2020)
A.
75 km/h
B.
80 km/h
C.
85 km/h
D.
90 km/h
Show solution
Solution
Total distance = 150 + 100 = 250 km. Total time = 2 + 1 = 3 hours. Average speed = Total distance / Total time = 250 km / 3 hours = 83.33 km/h, which rounds to 80 km/h.
Correct Answer:
B
— 80 km/h
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Q. A car travels 150 km in 2.5 hours. What is its speed in km/h? (2020)
A.
55 km/h
B.
60 km/h
C.
65 km/h
D.
70 km/h
Show solution
Solution
Speed = Distance / Time = 150 km / 2.5 hours = 60 km/h.
Correct Answer:
B
— 60 km/h
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Q. A car travels 150 km in 3 hours. What is its average speed? (2022)
A.
40 km/h
B.
50 km/h
C.
60 km/h
D.
70 km/h
Show solution
Solution
Average speed = Total distance / Total time = 150 km / 3 h = 50 km/h.
Correct Answer:
B
— 50 km/h
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Q. A car travels at a speed of 80 km/h. How long will it take to cover 240 km? (2020)
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
Time = Distance / Speed = 240 km / 80 km/h = 3 hours.
Correct Answer:
C
— 4 hours
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Q. A car travels at a speed of 80 km/h. How long will it take to cover a distance of 240 km?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
Time = Distance / Speed = 240 km / 80 km/h = 3 hours.
Correct Answer:
B
— 3 hours
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Q. A car travels at a speed of 80 km/h. How long will it take to travel 240 km?
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
Time = Distance / Speed = 240 km / 80 km/h = 3 hours.
Correct Answer:
B
— 3 hours
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Q. A circle has a radius of 7 cm. What is its circumference? (2023)
A.
44 cm
B.
40 cm
C.
38 cm
D.
42 cm
Show solution
Solution
Circumference of a circle = 2πr = 2 × 3.14 × 7 cm ≈ 44 cm.
Correct Answer:
A
— 44 cm
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Q. A cyclist travels 15 km in 30 minutes. What is the speed of the cyclist in km/h? (2019)
A.
25 km/h
B.
30 km/h
C.
35 km/h
D.
40 km/h
Show solution
Solution
Speed = Distance / Time = 15 km / 0.5 hours = 30 km/h.
Correct Answer:
A
— 25 km/h
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Q. A length is measured as 5.67 m with an uncertainty of 0.01 m. What is the percentage error?
A.
0.18%
B.
0.2%
C.
0.15%
D.
0.25%
Show solution
Solution
Percentage error = (Uncertainty / Measured value) * 100 = (0.01 / 5.67) * 100 ≈ 0.176%.
Correct Answer:
B
— 0.2%
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Q. A motorbike covers a distance of 180 km in 3 hours. What is its speed? (2023)
A.
55 km/h
B.
60 km/h
C.
65 km/h
D.
70 km/h
Show solution
Solution
Speed = Distance / Time = 180 km / 3 hours = 60 km/h.
Correct Answer:
B
— 60 km/h
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Q. A number is decreased by 25% and then increased by 25%. What is the final value in terms of the original number? (2023)
A.
Original number
B.
Less than original
C.
More than original
D.
None of the above
Show solution
Solution
Let the original number be x. After a 25% decrease, it becomes 0.75x. After a 25% increase, it becomes 0.75x * 1.25 = 0.9375x, which is less than the original number.
Correct Answer:
B
— Less than original
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Q. A number is increased by 20% and then decreased by 20%. What is the net change in percentage? (2023)
Show solution
Solution
Let the number be 100. After increase: 100 + 20% of 100 = 120. After decrease: 120 - 20% of 120 = 96. Net change = (96 - 100)/100 * 100% = -4%.
Correct Answer:
B
— 4%
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Q. A person cycles at a speed of 12 km/h for 1.5 hours. How far does he travel? (2019)
A.
15 km
B.
16 km
C.
18 km
D.
20 km
Show solution
Solution
Distance = Speed × Time = 12 km/h × 1.5 hours = 18 km.
Correct Answer:
C
— 18 km
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Q. A person drives 150 km in 2.5 hours. What is his average speed? (2019)
A.
55 km/h
B.
60 km/h
C.
65 km/h
D.
70 km/h
Show solution
Solution
Average speed = Total distance / Total time = 150 km / 2.5 hours = 60 km/h.
Correct Answer:
B
— 60 km/h
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Q. A person drives 180 km at a speed of 90 km/h. How long does the journey take? (2021)
A.
1 hour
B.
1.5 hours
C.
2 hours
D.
2.5 hours
Show solution
Solution
Time = Distance / Speed = 180 km / 90 km/h = 2 hours.
Correct Answer:
C
— 2 hours
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Q. A person jogs at a speed of 8 km/h for 1.5 hours. How far does he jog? (2019)
A.
10 km
B.
12 km
C.
14 km
D.
15 km
Show solution
Solution
Distance = Speed * Time = 8 km/h * 1.5 hours = 12 km.
Correct Answer:
B
— 12 km
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Q. A person jogs at a speed of 8 km/h for 45 minutes. How far does he jog? (2022)
A.
5 km
B.
6 km
C.
7 km
D.
8 km
Show solution
Solution
Time = 45 minutes = 0.75 hours. Distance = Speed * Time = 8 km/h * 0.75 hours = 6 km.
Correct Answer:
B
— 6 km
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Q. A person walks 3 km in 36 minutes. What is his speed in km/h? (2023)
A.
4 km/h
B.
5 km/h
C.
6 km/h
D.
7 km/h
Show solution
Solution
Speed = Distance / Time = 3 km / (36/60) hours = 3 / 0.6 = 5 km/h.
Correct Answer:
B
— 5 km/h
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Q. A person walks 4 km in 1 hour and then runs 8 km in 30 minutes. What is the average speed for the entire journey? (2023)
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Total distance = 4 km + 8 km = 12 km. Total time = 1 hour + 0.5 hours = 1.5 hours. Average speed = Total distance / Total time = 12 km / 1.5 hours = 8 km/h.
Correct Answer:
B
— 10 km/h
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Q. A person walks 4 km in 50 minutes. What is his speed in km/h? (2022)
A.
4.8 km/h
B.
5 km/h
C.
5.2 km/h
D.
6 km/h
Show solution
Solution
Speed = Distance / Time = 4 km / (50/60) hours = 4 km / (5/6) hours = 4 * (6/5) = 4.8 km/h.
Correct Answer:
A
— 4.8 km/h
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Q. A person walks 4 km in 50 minutes. What is his speed in m/s? (2022)
A.
1.2 m/s
B.
1.5 m/s
C.
2.0 m/s
D.
2.5 m/s
Show solution
Solution
Speed = Distance / Time = 4 km = 4000 m; Time = 50 minutes = 3000 seconds. Speed = 4000 m / 3000 s = 1.33 m/s, which rounds to 1.5 m/s.
Correct Answer:
B
— 1.5 m/s
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