CAT 1993 — QA Question 49
Directions for next 3 questions:
Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q’s speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.
Let x, y and z be distinct positive integers satisfying x < y < z and x + y + z = k. What is the smallest value of K that does not determine x, y, z uniquely?
Answer & solution
- A
9
- B
6
- C
7
8
In this case since x, y and z are distinct positive integers, our aim is figure out which of the answer choices cannot be expressed as the sum of 3 integers uniquely.
For eg. 6 can only be expressed as (1 + 2 + 3).
7 can only be expressed as (1 + 2 + 4).
But 8 can be expressed as either (1, 2, 5) or (1, 3, 4).
Hence, option (d).