CAT 2003 Slot 1 — QA Question 21
Answer the following question based on the information given below.
A city has two perfectly circular and concentric ring roads, the outer ring road (OR) being twice as long as the inner ring road (IR). There are also four (straight line) chord roads from E1, the east end point of OR to N2, the north end point of IR; from N1, the north end point of OR to W2, the west end point of IR; from W1, the west end point of OR, to S2, the south end point of IR; and from S1, the south end point of OR to E2, the east endpoint of IR. Traffic moves at a constant speed of 30π km/hr on the OR road, 20π km/hr on the IR road, and km/hr on all the chord roads.
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.
Is a44 < b11, given that a = 2 and b is an integer?
- b is even
- b is greater than 16
Answer & solution
1
- B
2
- C
3
- D
4
a44 < b11
But, a = 2
∴ a44 = 244
∴ a44 = 1611
Using statement 1 alone:
b is an even integer. It may be less than or greater than 16.
So, we cannot answer the question using statement 1 alone.
Using statement 2 alone:
b is greater than 16.
∴ b11 > 1611
∴ b11 > a44
So, we can answer the question using statement 2 alone.
Hence, option (a).