Quantitative Aptitude – Geometry – Triangles – A triangle ABC has area 32 sq units

Quantitative Aptitude – Geometry - Triangles – A triangle ABC has area 32 sq units

Slot -2 – Quantitative Aptitude – Geometry – Triangles – A triangle ABC has area 32 sq units

A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is?

a) 4√2 units

b) 8 units

c) 4 units

d) 2√2 units

Answer: c) 4 units

Solution: The distance OA will be minimum when the perpendicular from A on BC will pass through O.

Area of triangle ABC = 1/2 BC×AD = 1/2×8×(AO+OD ) = 4×(AO+4)
32 = 4AO+16
AO = 4
So required minimum distance = 4

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

Quantitative Aptitude – Geometry - Circles – On a triangle ABC, a circle with diameter BC

Slot -2 – Quantitative Aptitude – Geometry – Triangles – On a triangle ABC, a circle with diameter BC

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?

Answer: 24 cm

Solution:

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

AB×CP=AC×BQ

30×20=25×BQ

BQ = 24 cm

Other posts related to Quantitative Aptitude – Modern Maths

Permutation and Combination – Fundamental Principle of Counting
Permutation and Combination – Distribution of Objects
How to find Rank of a Word in Dictionary (With or Without Repetition)
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How to solve questions based on At least n in Set Theory for CAT Exam?
Sequence and Series Problems and Concepts for CAT 2017 Exam Preparation
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a) 750+ Videos covering entire CAT syllabus
b) 2 Live Classes (online) every week for doubt clarification
c) Study Material & PDFs for practice and understanding
d) 10 Mock Tests in the latest pattern
e) Previous Year Questions solved on video

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