CAT 2003 Slot 1 — QA Question 43
Solving InequalitiesEasy
Given that −1 ≤ v ≤ 1, −2 ≤ u ≤ −0.5 and −2 ≤ z ≤ −0.5 and w = vz/u, then which of the following is necessarily true?
Answer & solution
Correct answer: −4 ≤ w ≤ 4
- A
−0.5 ≤ w ≤ 2
−4 ≤ w ≤ 4
- C
−4 ≤ w ≤ 2
- D
−2 ≤ w ≤ −0.5
Solution
w = vz/u
From the given range of values for u, v and z, we have,
Maximum possible value of w is 4 when v is 1, z is −2 and u is −0.5.
Also minimum value of w is −4 when v is −1, z is −2 and u is −0.5.
Hence, option (b).