Allied & ICAR Exam Bank • ALLIED_2371 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

In a circle of radius 10 cm, two parallel chords of lengths 12 cm and 16 cm are drawn on opposite sides of the center. The distance between the two chords is:

Options:

  • (A) 14 cm
  • (B) 12 cm
  • (C) 16 cm
  • (D) 10 cm

Answer Key:

A

Step-by-Step Solution & Explanation

Distance of chord 1 $= \sqrt{10^2 - 6^2} = 8$ cm. Distance of chord 2 $= \sqrt{10^2 - 8^2} = 6$ cm. Total distance $= 8 + 6 = 14$ cm.
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