Allied & ICAR Exam Bank • ALLIED_1735 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Two chords AB and CD of a circle intersect inside the circle at point P. If AP = 4 cm, PB = 6 cm, and CP = 3 cm, the length of PD is:

Options:

  • (A) 8 cm
  • (B) 7 cm
  • (C) 9 cm
  • (D) 6 cm

Answer Key:

A

Step-by-Step Solution & Explanation

Intersecting chords theorem: $AP \times PB = CP \times PD \implies 4 \times 6 = 3 \times PD \implies PD = 8$ cm.
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