CAT 2002 — QA Question 54
Answer the following question based on the information given below.
A boy is supposed to put a mango into a basket if ordered 1, an orange if ordered 2 and an apple if ordered 3. He took out 1 mango and 1 orange if ordered 4. He was given the following sequence of orders.
12332142314223314113234
Each question is followed by two statements A and B. Answer each question using the following instructions:
Answer (1) if the question can be solved by any one of the statements, but not the other one.
Answer (2) if the question can be solved by using either of the two statements.
Answer (3) if the question can be solved by using both the statements together and not by any one of them.
Answer (4) if the question cannot be solved with the help of the given data and more data is required.
Is 500 the average (arithmetic mean) score of the GMAT?
A. Half of the people who take GMAT score above 500 and half of the people score below 500.
B. The highest GMAT score is 800 and the lowest score is 200.
Answer & solution
- A
1
- B
2
- C
3
4
Consider statement A:
This statement alone does not give sufficient information as we do not know how much above/below 500 these students scored.
For example, it is possible that one student scored 800, one scored 750, the third scored 450, while the last scored 200.
Then, average = (800 + 750 + 450 + 200)/4 = 550 ≠ 500
Consider statement B:
Using this statement alone, we cannot say whether 500 is the average score of GMAT. The previous example can be used here as well.
Combining both statements together:
Even now, we cannot determine the average. (Again, the above example can be used.)
Hence, option (d).