CAT 1994 — QA Question 14
Basics (Functions)Easy
Passage / Data
Answer the next 2 questions based on the following information:
If
md(x) = x ,
mn(x,y) = minimum of x and y and
Ma(a,b,c,...) = maximum of a,b,c…
Given that a > b then the relation Ma[md(a), mn(a,b)] = mn[a, md(Ma(a,b))] does not hold if
Answer & solution
a < 0, b < 0
- B
a > 0, b > 0
- C
a > 0, b < 0, |a| < |b|
- D
a > 0, b < 0, |a| > |b|
Solution
For a > b, the given equation reduces to
Ma[|a|, b] = mn[a, |a|].
If b < a < 0, then |b| > |a| > 0 > a > b.
∴ Ma [|a|, b] = |a| and mn [a, |a|] = a.
Hence, option (a) is correct.