Correct option is B
Given: The greatest number divides 77, 48, and 34 leaving remainders 2, 3, and 4 respectively. This number is then divided by 5.
Concept: Highest Common Factor (HCF) of remainder-adjusted values.
Solution:
First, subtract the remainders from their respective numbers to find the exactly divisible targets:
77 - 2 = 75
48 - 3 = 45
34 - 4 = 30
Find the greatest number by calculating the HCF of 75, 45, and 30:
The largest factor common to all three is 15.
Divide this greatest number by 5 to find the quotient:
Quotient = 15 / 5 = 3.
Final Answer: 3
So the correct answer is (b)
