About this quiz
50 questions covering every section of the note.
This Lok Sewa practice set has 50 multiple-choice questions (Subject: Maths and IQ · For: Kharidar, Nayab Subba, Section Officer · Level: Easy). Take the quiz above first; after that, use the study list below to revise every question with its correct answer and a short explanation.
Study list: all 50 questions with answers and explanations
A speed of 90 km/h is equal to:
- A) 15 m/s
- B) 20 m/s
- C) 25 m/s ✔
- D) 30 m/s
Why: 90 × 5/18 = 25 m/s.
A speed of 20 m/s is equal to:
- A) 72 km/h ✔
- B) 60 km/h
- C) 54 km/h
- D) 36 km/h
Why: 20 × 18/5 = 72 km/h.
A car covers 300 km in 5 hours. Its speed is:
- A) 50 km/h
- B) 55 km/h
- C) 60 km/h ✔
- D) 65 km/h
Why: Speed = 300 ÷ 5 = 60 km/h.
A bus runs at 45 km/h for 3 hours 20 minutes. The distance covered is:
- A) 135 km
- B) 150 km ✔
- C) 145 km
- D) 160 km
Why: 3 hours 20 minutes = 10/3 hours; 45 × 10/3 = 150 km.
A man goes to a place at 30 km/h and returns at 20 km/h. His average speed for the whole journey is:
- A) 25 km/h
- B) 24 km/h ✔
- C) 22 km/h
- D) 26 km/h
Why: 2 × 30 × 20 ÷ (30 + 20) = 1,200 ÷ 50 = 24 km/h.
A car travels 100 km at 50 km/h and then 150 km at 75 km/h. Its average speed is:
- A) 62.5 km/h ✔
- B) 60 km/h
- C) 65 km/h
- D) 58 km/h
Why: Total time = 2 + 2 = 4 hours; average speed = 250 ÷ 4 = 62.5 km/h.
A train 180 m long runs at 54 km/h. The time it takes to pass a pole is:
- A) 10 seconds
- B) 15 seconds
- C) 18 seconds
- D) 12 seconds ✔
Why: 54 km/h = 15 m/s; 180 ÷ 15 = 12 seconds.
A train 240 m long at 72 km/h crosses a platform 160 m long. The time taken is:
- A) 12 seconds
- B) 20 seconds ✔
- C) 16 seconds
- D) 24 seconds
Why: 72 km/h = 20 m/s; distance = 240 + 160 = 400 m; 400 ÷ 20 = 20 seconds.
A train passes a pole in 15 seconds and a platform 100 m long in 25 seconds. The length of the train is:
- A) 100 m
- B) 120 m
- C) 150 m ✔
- D) 200 m
Why: L ÷ 15 = (L + 100) ÷ 25 gives 25L = 15L + 1,500, so L = 150 m.
Two trains 100 m and 150 m long run in opposite directions at 40 km/h and 50 km/h. The time they take to cross each other is:
- A) 10 seconds ✔
- B) 12 seconds
- C) 15 seconds
- D) 25 seconds
Why: Relative speed = 90 km/h = 25 m/s; distance = 250 m; 250 ÷ 25 = 10 seconds.
Two trains, each 100 m long, run in the same direction at 68 km/h and 50 km/h. The faster train passes the slower one in:
- A) 20 seconds
- B) 30 seconds
- C) 36 seconds
- D) 40 seconds ✔
Why: Relative speed = 18 km/h = 5 m/s; distance = 200 m; 200 ÷ 5 = 40 seconds.
A train 125 m long passes a man running at 5 km/h in the same direction in 10 seconds. The speed of the train is:
- A) 45 km/h
- B) 50 km/h ✔
- C) 55 km/h
- D) 60 km/h
Why: Relative speed = 12.5 m/s = 45 km/h; train speed = 45 + 5 = 50 km/h.
A boat goes 18 km/h downstream and 12 km/h upstream. Its speed in still water is:
- A) 3 km/h
- B) 6 km/h
- C) 15 km/h ✔
- D) 30 km/h
Why: Speed in still water = (18 + 12) ÷ 2 = 15 km/h.
A boat goes 20 km/h downstream and 14 km/h upstream. The speed of the stream is:
- A) 3 km/h ✔
- B) 6 km/h
- C) 17 km/h
- D) 7 km/h
Why: Speed of stream = (20 − 14) ÷ 2 = 3 km/h.
A boat's speed in still water is 10 km/h and the stream flows at 2 km/h. Time to go 24 km downstream is:
- A) 3 hours
- B) 2.4 hours
- C) 2 hours ✔
- D) 2.5 hours
Why: Downstream speed = 12 km/h; 24 ÷ 12 = 2 hours.
A boat's speed in still water is 10 km/h and the stream flows at 2 km/h. Time to go 24 km upstream is:
- A) 2 hours
- B) 2.4 hours
- C) 4 hours
- D) 3 hours ✔
Why: Upstream speed = 8 km/h; 24 ÷ 8 = 3 hours.
Two cities are 200 km apart. Two cars start at the same time towards each other at 45 km/h and 55 km/h. They meet after:
- A) 2 hours ✔
- B) 2.5 hours
- C) 4 hours
- D) 1.5 hours
Why: Relative speed = 100 km/h; 200 ÷ 100 = 2 hours.
The speeds of A and B are in the ratio 2 : 3. The ratio of the times they take to cover the same distance is:
- A) 2 : 3
- B) 3 : 2 ✔
- C) 4 : 9
- D) 9 : 4
Why: For a fixed distance, time is inversely proportional to speed, so 3 : 2.
Walking at 5 km/h a man is 7 minutes late; at 6 km/h he is 5 minutes early. The distance is:
- A) 5 km
- B) 8 km
- C) 6 km ✔
- D) 10 km
Why: Time difference = 12 minutes = 1/5 hour. D/5 − D/6 = 1/5 gives D/30 = 1/5, so D = 6 km.
A car covers a distance in 6 hours at 40 km/h. To cover the same distance in 4 hours, its speed must be:
- A) 50 km/h
- B) 55 km/h
- C) 60 km/h ✔
- D) 80 km/h
Why: Distance = 40 × 6 = 240 km; 240 ÷ 4 = 60 km/h.
36 km/h equals:
- A) 10 m/s ✔
- B) 36 m/s
- C) 3.6 m/s
- D) 100 m/s
Why: × 5/18.
72 km/h equals:
- A) 20 m/s ✔
- B) 72 m/s
- C) 25 m/s
- D) 7.2 m/s
Why: × 5/18.
15 m/s equals:
- A) 54 km/h ✔
- B) 15 km/h
- C) 45 km/h
- D) 60 km/h
Why: × 18/5.
Distance covered at 60 km/h in 2.5 hours:
- A) 150 km ✔
- B) 120 km
- C) 140 km
- D) 160 km
Why: 60 × 2.5.
Time to cover 240 km at 80 km/h:
- A) 3 hours ✔
- B) 2.5 hours
- C) 4 hours
- D) 3.5 hours
Why: 240 ÷ 80.
A cyclist covers 1.2 km in 2 minutes. Speed in km/h:
- A) 36 ✔
- B) 24
- C) 30
- D) 40
Why: 0.6 km per minute.
A man goes at 20 km/h and returns at 30 km/h over the same distance. Average speed:
- A) 24 km/h ✔
- B) 25 km/h
- C) 26 km/h
- D) 22 km/h
Why: 2 × 20 × 30 ÷ 50.
A 150 m train at 54 km/h passes a pole in:
- A) 10 seconds ✔
- B) 15 seconds
- C) 9 seconds
- D) 12 seconds
Why: 150 ÷ 15.
A 200 m train at 72 km/h crosses a 300 m platform in:
- A) 25 seconds ✔
- B) 15 seconds
- C) 10 seconds
- D) 20 seconds
Why: 500 ÷ 20.
A train at 36 km/h passes a pole in 12 seconds. Its length:
- A) 120 m ✔
- B) 100 m
- C) 432 m
- D) 150 m
Why: 10 × 12.
Two trains at 60 and 40 km/h move in opposite directions. Relative speed:
- A) 100 km/h ✔
- B) 20 km/h
- C) 50 km/h
- D) 2,400 km/h
Why: Add.
Two trains at 60 and 40 km/h move in the same direction. Relative speed:
- A) 20 km/h ✔
- B) 100 km/h
- C) 50 km/h
- D) 40 km/h
Why: Subtract.
Two 120 m trains run in opposite directions at 36 and 54 km/h. Time to cross each other:
- A) 9.6 seconds ✔
- B) 12 seconds
- C) 8 seconds
- D) 24 seconds
Why: 240 ÷ 25.
Boat speed 12 km/h in still water, stream 3 km/h. Downstream speed:
- A) 15 km/h ✔
- B) 9 km/h
- C) 12 km/h
- D) 36 km/h
Why: Add.
Boat speed 12 km/h in still water, stream 3 km/h. Upstream speed:
- A) 9 km/h ✔
- B) 15 km/h
- C) 4 km/h
- D) 12 km/h
Why: Subtract.
Downstream 16 km/h and upstream 10 km/h. Speed in still water:
- A) 13 km/h ✔
- B) 26 km/h
- C) 6 km/h
- D) 3 km/h
Why: (16 + 10) ÷ 2.
Downstream 16 km/h and upstream 10 km/h. Stream speed:
- A) 3 km/h ✔
- B) 6 km/h
- C) 13 km/h
- D) 2 km/h
Why: (16 − 10) ÷ 2.
Two cars 300 km apart drive towards each other at 70 and 80 km/h. They meet after:
- A) 2 hours ✔
- B) 3 hours
- C) 1.5 hours
- D) 4 hours
Why: 300 ÷ 150.
A walks at 4 km/h. Two hours later B follows by cycle at 12 km/h. B catches A after:
- A) 1 hour ✔
- B) 2 hours
- C) 40 minutes
- D) 3 hours
Why: 8 km gap at 8 km/h.
Speeds are in the ratio 3 : 4. Times for the same distance are in the ratio:
- A) 4 : 3 ✔
- B) 3 : 4
- C) 9 : 16
- D) 1 : 1
Why: Inverse.
A man walking at 5 km/h crosses a bridge in 12 minutes. Bridge length:
- A) 1 km ✔
- B) 1.2 km
- C) 600 m
- D) 2 km
Why: 5 × 12/60.
At 3/4 of his usual speed a man is 20 minutes late. His usual time is:
- A) 60 minutes ✔
- B) 80 minutes
- C) 40 minutes
- D) 45 minutes
Why: t/3 = 20.
A car covers 360 km in 6 hours. Speed needed to do it in 4 hours:
- A) 90 km/h ✔
- B) 60 km/h
- C) 80 km/h
- D) 100 km/h
Why: 360 ÷ 4.
A 300 m train passes a standing man in 15 seconds. Speed:
- A) 72 km/h ✔
- B) 20 km/h
- C) 60 km/h
- D) 54 km/h
Why: 20 m/s.
Thunder is heard 3 seconds after lightning (sound 340 m/s). Distance of the storm:
- A) 1.02 km ✔
- B) 340 m
- C) 3 km
- D) 102 m
Why: 340 × 3.
Distance equals:
- A) Speed × time ✔
- B) Speed ÷ time
- C) Time ÷ speed
- D) Speed + time
Why: Basic formula.
1 km/h equals:
- A) 5/18 m/s ✔
- B) 18/5 m/s
- C) 1,000 m/s
- D) 1/60 m/s
Why: 1,000 ÷ 3,600.
A runner covers 400 m in 50 seconds. Speed in km/h:
- A) 28.8 ✔
- B) 8
- C) 24
- D) 32
Why: 8 m/s × 3.6.
A 100 m train crosses a 200 m bridge in 15 seconds. Speed:
- A) 72 km/h ✔
- B) 20 km/h
- C) 48 km/h
- D) 54 km/h
Why: 300 ÷ 15 = 20 m/s.
A boat goes 24 km downstream in 2 hours and back in 3 hours. Speed in still water:
- A) 10 km/h ✔
- B) 12 km/h
- C) 8 km/h
- D) 2 km/h
Why: (12 + 8) ÷ 2.