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

Answer
90

Solution
From CAT 2017 – Quantitative Aptitude – Geometry – Circles, we can see that,

OD = OC (Radius of circle)

So, angle (ODC) = angle (OCD) = 30 deg

Angle (DOA) = 60 degrees

Angle (BAC) = 30 degrees (Given)

OA = OD (radius of circle)

Angle (ODA) = angle (OAD) = 60 deg

Sum of Opposite angles in a cyclic quad are 180 deg

Angle (BAD) + angle (BCD) = 180

So, angle (BCD) = 90 deg

Answer: 90 degrees

CAT 2017 Questions from Quantitative Aptitude – Geometry
Quantitative Aptitude – Geometry – Circles – Ques : 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 – 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 – Triangles – Q3 : 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

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 (Â½, 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
Geometry Fundas for CAT Quantitative Aptitude Preparation â€“ Part 1
Geometry Fundas for CAT Quantitative Aptitude Preparation â€“ Part 2
Geometry Basics for CAT â€“ Triangle related questions and problems
Mensuration Basics and 3-Dimensional Geometry Concepts for CAT
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