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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 173 of 200

Q173
ArithmeticNumber Series & Progressions
The 5th and 11th term of an A.P. are 41 and 20 respectively. The first term is
  1. a.45
  2. b.65
  3. c.35
  4. d.55

Answer: (D) 55

From a + 4d = 41 and a + 10d = 20, 6d = −21 so d = −3·5. Then a = 41 − 4 × (−3·5) = 41 + 14 = 55. 45 and 35 come from using the wrong number of steps or the wrong sign of d.