Sarkari RiseLogin
CDS 2023 · PYQ · Algebra · medium

If 3^(x−1) + 3^(3−x) = 6, then what is 2^(x−1) + 2^(3−x) equal to?

  1. A.3
  2. B.1
  3. C.4✓ Correct
  4. D.2

Explanation

Let y = 3^(x−1), z = 3^(3−x). yz = 3² = 9 and y+z = 6, giving y = z = 3, so x−1 = 1, x = 2. Then 2^(x−1) + 2^(3−x) = 2 + 2 = 4.
💡 Practice unlimited CDS PYQs + AI-tracked progress on each topic. Sign up free →

More Algebra questions

Want more CDS practice?

Free daily 10-Q quiz · adaptive mocks · 4,000+ verified PYQs · AI doubt solver in Hindi + English

Sign up freeMore Algebra practice