**Quantitative Aptitude – Geometry – Triangles**

**Question**

From a triangle ABC with sides of lengths 40 ft, 25 ft and 35 ft, a triangular portion GBC is cut off where G is the centroid of ABC. The area, in sq ft, of the remaining portion of triangle ABC is

A) 225√3

B) 500 / √3

C) 275 / √3

D) 250 / √3

**Answer**

Option (B)

**Solution**

As per the question from CAT 2017 – Quantitative Aptitude – Geometry – Triangles,

Area of triangle = root (s(s-a)(s-b)(s-c))

S = 50

Area = 250 * root(3)

Centroid divides triangle in the ratio 2:1

Area of remaining portion of triangle: 2/3 * (Area of Triangle) = 500/root(3)

Option (B)

## Download CAT 2017 Question Paper with answers and detailed solutions in PDF

## CAT 2017 Questions from Quantitative Aptitude – Geometry

Quantitative Aptitude – Geometry – Triangles – Q1: Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB.

Quantitative Aptitude – Geometry – Triangles – Q2: Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively.

Quantitative Aptitude – Geometry – Circles – Q1: ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120 degrees and ∠BAC = 30 degrees, then the value of ∠BCD (in degrees) is

Quantitative Aptitude – Geometry – Circles – Q2: Let ABC be a right-angled isosceles triangle with hypotenuse BC. Let BQC be a semi-circle, away from A, with diameter BC.

Quantitative Aptitude – Geometry – Coordinate – Q1: The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is

Quantitative Aptitude – Geometry – Coordinate – Q2: The shortest distance of the point (½, 1) from the curve y = |x -1| + |x + 1| is

Quantitative Aptitude – Geometry – Mensuration

Quantitative Aptitude – Geometry – Polygons – Ques: Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is

## Other posts related to Quantitative Aptitude – Geometry

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Geometry Fundas for CAT Quantitative Aptitude Preparation – Part 2

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Mensuration Basics and 3-Dimensional Geometry Concepts for CAT

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