Question

What is the maximum number of students in which 175 bananas and 105 oranges can be equally divided?
1. 140
2. 5
3. 105
4. 35

Answer 1

Correct Answer - Option 4 : 35

Given 

No. of oranges = 105 

N. of bananas = 175 

Concept Used 

For maximum distribution, we need to find HCF of both numbers 

Calculation 

Prime factorisation 

⇒ 175 = 5 × 5 × 7

⇒ 105 = 5 × 3 × 7 

So, HCF of 105, and 175 = 35

∴ The number of students is 35 among them 175 bananas and 105 oranges can be equally divided.