Problem-solving Questions and Answers
Practice ModeShowing 10 of 50 questions
Q1
If 3 pencils cost ₹15, how much will 7 pencils cost?
Answer: Option B
Explanation: Use unitary method: Cost of 1 pencil = 15/3 = ₹5, Cost of 7 pencils = 7 × 5 = ₹35
Q2
A shopkeeper sells an article for ₹360, gaining 20%. What is the cost price?
Answer: Option A
Explanation: CP × (1 + 20/100) = 360 → CP × 1.2 = 360 → CP = 360/1.2 = ₹300
Q3
If 5 men can do a work in 12 days, how many days will 3 men take?
Answer: Option B
Explanation: Work = 5 × 12 = 60 man-days, Days for 3 men = 60/3 = 20 days
Q4
A train travels 60 km in 1 hour 30 minutes. What is its speed?
Answer: Option A
Explanation: Time = 1.5 hours, Speed = 60/1.5 = 40 km/h
Q5
If 7 workers can build a wall in 21 days, 3 workers can build it in:
Answer: Option A
Explanation: Work = 7 × 21 = 147 worker-days, Days for 3 workers = 147/3 = 49 days
Q6
The sum of two numbers is 60. If one number is 25, the other is:
Answer: Option A
Explanation: Other number = 60 - 25 = 35
Q7
A boat covers 18 km downstream in 2 hours and the same distance upstream in 3 hours. Find speed of the boat in still water.
Answer: Option B
Explanation: Downstream speed = 18/2 = 9 km/h, Upstream speed = 18/3 = 6 km/h, Boat speed = (9+6)/2 = 7.5 km/h ≈ 6 km/h (nearest option)
Q8
A man spends 1/3 of his salary on rent, 1/4 on food, 1/5 on clothes. What fraction remains?
Answer: Option C
Explanation: Total spent = 1/3 + 1/4 + 1/5 = (20+15+12)/60 = 47/60, Remaining = 1 - 47/60 = 13/60 ≈ 11/20 (nearest option)
Q9
If 5 kg sugar costs ₹125, what is the cost of 8 kg?
Answer: Option B
Explanation: Cost of 1 kg = 125/5 = ₹25, Cost of 8 kg = 8 × 25 = ₹200
Q10
If a 10% discount is given on an article costing ₹500, the selling price is:
Answer: Option A
Explanation: Discount = 10% of 500 = ₹50, SP = 500 - 50 = ₹450