Allied & ICAR Exam Bank • ALLIED_1414 MCQ • 1 Mark

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In triangle ABC, DE is parallel to BC with D on AB and E on AC. If AD = 3 cm, DB = 5 cm, and AE = 6 cm, the length of EC is:

Options:

  • (A) 10 cm
  • (B) 8 cm
  • (C) 9 cm
  • (D) 12 cm

Answer Key:

A

Step-by-Step Solution & Explanation

By Thales theorem: $AD / DB = AE / EC \implies 3/5 = 6/EC \implies EC = 10$ cm.
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