Quantitative Aptitude – Geometry – Triangles – Let P be an interior point

January 1st, 2020 by

Quantitative Aptitude - Geometry - Triangles - Let P be an interior point Quantitative Aptitude - Geometry - Triangles Question Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is 4 (√2 - l) cm, then the area, in sq cm, of the triangle ABC is Answer 16 Solution From CAT 2017 - Quantitative Aptitude - Geometry - Triangles, we can see that, PQ = PR = PS = 4(√2-1) CS = PR (PC)^2 = (PS)^2 + (CS)^2 On solving, we get, PC = 4√2(

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Quantitative Aptitude – Geometry – Triangles – Let ABC be a right-angled triangle

December 30th, 2019 by

Quantitative Aptitude - Geometry - Triangles - Let ABC be a right-angled triangle Quantitative Aptitude - Geometry - Triangles Question Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is Answer 24 Solution As per the question from CAT 2017 - Quantitative Aptitude - Geometry - Triangles, BC^2 = AB^2 + AC^2 = 625 BC = 25 Shortest Distance from A to hypotenus

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Quantitative Aptitude – Geometry – Triangles – From a triangle ABC with sides

December 30th, 2019 by

Quantitative Aptitude - Geometry - Triangles - From a triangle ABC with sides 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

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

December 23rd, 2019 by

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.

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

December 22nd, 2019 by

Quantitative Aptitude – Geometry - Triangles – 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

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