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Railways PYQCBT 1 2016

RRB NTPC · Question 90

An angle is 60° more than one-fifth of its complement. Find the smaller angle in degrees. A. 65° B. 35° C. 25° D. 45°

  1. C

  2. B

  3. A

  4. D

Show answer & explanation

Answer: (A) C

Explanation

Let the angle be x. Then x = 60 + (90 − x)/5, so 5x = 300 + 90 − x, 6x = 390 and x = 65°. Its complement is 25°, so the smaller of the two angles is 25°.