CAT 2003 Slot 1 — QA Question 26
Each question is followed by two statements, A and B. Answer each question using the following instructions
Choose 1 if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose 2 if the question can be answered by using either of the statements alone.
Choose 3 if the question can be answered by using both statements together but not by either statement alone.
Choose 4 if the question cannot be answered on the basis of the two statements.
At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p > 0 and q > 0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
Answer & solution
- A
p = q
- B
p < q
p > q
- D
p = q/2
Shepard bought 9 dozen goats at the end of 1998.
Consider that he added 1 dozen goats to it, i.e. 11.11% of 9 dozen.
And he sold 1 dozen to get back the same 9 dozen i.e. 10% of 10 dozen.
∴ He adds 11.11% and subtracts 10% to get the same amount every time.
∴ p = 11.11% and q = 10%
∴ p > q
Hence, option (c).