CAT 1995 — QA Question 33
Solving InequalitiesEasy
Passage / Data
Direction: Answer the questions based on the following information.
Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs.32.
What is the value of m which satisfies 3m2 – 21m + 30 < 0?
Answer & solution
- A
m < 2 or m > 5
- B
m > 2
2 < m < 5
- D
Both (a) and (c)
Solution
3m2 – 21m + 30 < 0
∴ m2 – 7m + 10 < 0 ⇒ (m – 5)(m – 2) < 0.
⇒ (m – 5) < 0 and (m – 2) > 0
∴ 2 < m < 5.
Hence, option (c).