Problem Solving Challenges with Answers – Set 1

 

Introduction

Problem-solving challenges test your ability to analyze information, think logically, and make decisions based on given conditions. Try solving each challenge before checking the answer.


Question 1

A farmer has 10 chickens, 5 cows, and 2 horses.

How many legs are there in total?

A) 48

B) 50

C) 58

D) 60

Answer

C) 58

Explanation

10 chickens × 2 legs = 20

5 cows × 4 legs = 20

2 horses × 4 legs = 8

Total = 20 + 20 + 8 = 58


Question 2

A shopkeeper buys a pen for ₹20 and sells it for ₹25.

What is the profit percentage?

A) 20%

B) 25%

C) 30%

D) 40%

Answer

B) 25%

Explanation

Profit = ₹25 − ₹20 = ₹5

Profit % = (5 ÷ 20) × 100

= 25%


Question 3

You have a 5-litre bucket and a 3-litre bucket.

How can you measure exactly 4 litres?

Answer

  1. Fill the 5-litre bucket.

  2. Pour into the 3-litre bucket.

  3. 2 litres remain in the 5-litre bucket.

  4. Empty the 3-litre bucket.

  5. Pour the remaining 2 litres into the 3-litre bucket.

  6. Fill the 5-litre bucket again.

  7. Pour into the 3-litre bucket until it becomes full.

Exactly 4 litres remain in the 5-litre bucket.


Question 4

A train travels 120 km in 2 hours.

What is its average speed?

A) 50 km/h

B) 55 km/h

C) 60 km/h

D) 65 km/h

Answer

C) 60 km/h

Explanation

Speed = Distance ÷ Time

= 120 ÷ 2

= 60 km/h


Question 5

Three friends share 24 chocolates equally.

How many chocolates does each friend receive?

A) 6

B) 7

C) 8

D) 9

Answer

C) 8

Explanation

24 ÷ 3 = 8

Each friend receives 8 chocolates.


Key Learning

Problem-solving questions often become easier when broken into smaller steps. Focus on understanding the information first, then apply logic and calculations carefully.


Practice Tip

Always identify:

  • What information is given

  • What is being asked

  • Which formula or logic applies

This simple approach improves problem-solving accuracy.


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