For x≤−2 the inner difference is −3; for x≥1 it is 3. On −2≤x≤1 the difference is 2x+1. Thus f=3 outside that interval and |2x+1| inside, with a V minimum at x=−1/2. **P, A**.
More Quantitative Aptitude: Algebra, Geometry and Mensuration questions
GATE 2022 MA Q9– Letters P,Q,R,S,T,U occupy the vertices of a regular convex hexagon. RS is longer than PQ…
GATE 2021 MA Q2– A polygon is convex if for every pair of its points P,Q, the segment PQ lies completely…
GATE 2021 MA Q6– Two rectangular paper sheets M,N each measure 6 cm×1 cm. M is rolled into an open cylinder…
GATE 2026 ST Q8– For positive S,K define H K(S)=max(S−K,0), where max(a,b)=a for a>b and b otherwise.…
GATE 2025 ST Q10– Villages P,Q,R have PQ=13 km,QR=14 km,RP=15 km as shown. A straight road joins Q,R. Find…
GATE 2024 ST Q4– For x,y>0, ln((x+y)/2)=[ln x+ln y]/2. Find x/y+y/x.
