Periodic Functions — CAT Previous-Year Questions
1 previous-year question on Periodic Functions from CAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.
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Periodic Functions · CAT PYQs
CAT 2005 · QA
Passage / Data
Answer the next 2 questions based on the information given below.
Ram and Shyam run a race between points A and B, 5 km apart. Ram starts at 9 a.m. from A at a speed of 5 km/hr, reaches B, and returns to A at the same speed. Shyam starts at 9:45 a.m. from A at a speed of 10 km/hr, reaches B and comes back to A at the same speed.
Q1.
Let g(x) be a function such that g(x + 1) + g(x – 1) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?