CAT 2001 — QA Question 52
Answer the following question based on the information given below.
The petrol consumption rate of a new model car 'Palto' depends on its speed and may be described by the graph below
Choose 1; if the question can be answered by using one of the statements alone, but cannot be answered using the other statement alone.
Choose 2; if the question can be answered by using either statement alone.
Choose 3; if the question can be answered by using both statements together, but cannot be answered using either statement alone.
Choose 4; if the question cannot be answered even by using both statements together.
What is the value of X?
- X and Y are unequal even integers, less than 10, and X/Y is an odd integer.
- X and Y are even integers, each less than 10, and product of X and Y is 12.
Answer & solution
1
- B
2
- C
3
- D
4
Using statement A alone:
âµ Both have to be even numbers, the only possibility is X = 6 and Y = 2
∴ Statement A alone is sufficient to answer the question.
Using statement B alone:
12 = 1 × 12 = 2 × 6 = 3 × 4
âµ Both are even integers and less than 10, the possible set of values of X and Y are (2, 6) and (6, 2).
∴ X is either 2 or 6.
∴ No unique solution can be found using statement B alone.
Hence, option (a).
Note: Negative integers are not considered as Even or Odd.