CAT 2003 Slot 2DILR Question 3

Data SufficiencyEasy
Passage / Data

Choose 1, if the question can be answered by using statement A alone but not by using B alone.

Choose 2, if the question can be answered by using statement B alone but not by using A alone.

Choose 3, if the question can be answered by using either statement alone.

Choose 4, if the question can be answered by using both the statements together but not by either statement.

The members of a local club contributed equally to pay Rs.600 towards a donation. How much did each one pay?

A. If there had been five fewer members, each one would have paid an additional Rs.10.
B. There were at least 20 members in the club, and each one paid no more than Rs.30.

Answer & solution

  • 1

  • B

    2

  • C

    3

  • D

    4

Solution

From statement A,

Let there are x members in the club.

600(x-5)-600x=10

∴ x = 20

∴ Contribution per head = 60020 = Rs. 30

∴ Statement A alone is sufficient.

From statement B,

We get there were at least 20 members in the club and each one paid no more than Rs. 30.

The different possibilities for can be :

30 members × 20 rupees = Rs. 600

40 members × 15 rupees = Rs. 600

60 members × 10 rupees = Rs. 600 and so on.

∴ Statement B alone is not sufficient.

Hence, option (a).

CAT 2003 Slot 2 DILR Q3: The members of a local club contributed equally to pay Rs.600 towards a donation. How much did each one pay? A — Solution | TheCATExam