# On a triangle ABC, a circle with diameter BC | Quantitative Aptitude – Geometry – Triangles

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Modern Maths – Sequence and Series – On a triangle ABC, a circle with diameter BC…. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

## CAT 2018 – Slot -2 - Question 1 - On a triangle ABC, a circle with diameter BC

Q. 1: On a triangle ABC, a circle with diameter BC is drawn, intersecting AB and AC at points P and Q, respectively. If the lengths of AB, AC, and CP are 30 cm, 25 cm, and 20 cm respectively, then the length of BQ, in cm, is

As CP is perpendicular to AB and BQ is perpendicular to AC. So

AB×CP=AC×BQ

30×20=25×BQ

BQ = 24 cm

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