Question

The members of a local club contributed equally to pay Rs. 600 towards a donation. How much did each one pay?
Statement A
A. If there had been five fewer members, each one would have paid an additional Rs. 10.

Statement B
B. There were at least 20 members in the club, and each one paid not more than Rs. 30.

• A. Statement A alone is sufficient but not Statement B.
• B. Statement B alone is sufficient but not Statement A
• C. Either Statement A or Statement B alone is sufficient.
• D. Both statements together are necessary but not by either statement alone.

Hint:

In problems involving total amounts and contributions, look for relationships between the number of contributors and the amount each person pays.

Answer 1

The Correct Option is D

To solve for the amount each member paid, we need to know the number of members. Statement A gives a relationship between the number of members and the amount paid, allowing us to calculate the total number of members. Statement B provides a minimum number of members and a payment constraint, which when combined with Statement A, will help us calculate the exact amount each member paid. Therefore, both statements together are necessary to answer the question. \[ \boxed{4} \]