CAT 1997 — QA Question 16
FactorsEasy
Passage / Data
Answer the next 3 questions based on the following information.
There are 60 students in a class. These students are divided into three groups A, B and C of 15, 20 and 25 students each. The groups A and C are combined to form group D.
P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?
Answer & solution
- A
20
- B
65
- C
16
35
Solution
If we were to express 64 as product of two positive integers, we can get the following combinations: (64 × 1), (32 × 2), (16 × 4), (8 × 8).
Thus, we find that P + Q cannot be 35.