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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 100 of 200

Q100
ArithmeticGeometry & Mensuration
In the adjoining figure, if ∠ACB = ∠BAD, AC = 8cm, AB = 16cm and AD = 3cm, then BD = ?
  1. a.3 cm
  2. b.6 cm
  3. c.2 cm
  4. d.None of the above

Answer: (B) 6 cm

With D on BC, triangles BAD and BCA share angle B and have ∠BAD = ∠BCA, so they are similar. Hence $\frac{BD}{BA} = \frac{AD}{CA} = \frac{3}{8}$, giving BD = 16 × $\frac{3}{8}$ = 6 cm. 3 cm just repeats AD.

Q99 Whole paperQ101
In the adjoining figure, if ∠ACB = ∠BAD, AC = 8cm, AB = 16cm and AD… — WBCS Main Examination 2023 Q100 | Prostuti360°