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 – Mensuration – A parallelogram ABCD has area 48 sqcm

December 23rd, 2019 by

Quantitative Aptitude – Geometry - Mensuration – A parallelogram ABCD has area 48 sqcm Slot -2 – Quantitative Aptitude – Geometry - Mensuration – A parallelogram ABCD has area 48 sqcm A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true? a) 5≤s≤7 b) s≤6 c) s≥6 d) s≠6 Answer: c) s≥6 Solution: 1 Solution: As the area of ABCD = 48=s×h ------------1) In right-angled triangle CKD, DK ≤ CD ( CD is hyp

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Quantitative Aptitude – Geometry – Mensuration – The area of a rectangle and the square

December 23rd, 2019 by

Quantitative Aptitude – Geometry - Mensuration – The area of a rectangle and the square Slot -2 – Quantitative Aptitude – Geometry - Mensuration – The area of a rectangle and the square The area of a rectangle and the square of its perimeter are in the ratio 1 ∶ 25. Then the lengths of the shorter and longer sides of the rectangle are in the ratio? a) 1:3 b) 3:8 c) 2:9 d) 1:4 Answer: d) 1 : 4 Solution: Given ratio of areas of rectangle and square = 1:25 = 4∶ 100=(1×4):(10×10) Thus possible ratio

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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 – Circles – A chord of length 5 cm subtends an

December 22nd, 2019 by

Quantitative Aptitude – Geometry - Circles – A chord of length 5 cm subtends an Slot -2 – Quantitative Aptitude – Geometry - Circles – A chord of length 5 cm subtends an A chord of length 5 cm subtends an angle of 60° at the centre of a circle. The length, in cm, of a chord that subtends an angle of 120° at the centre of the same circle is? a) 6√2 b) 8 c) 4√2 d) 5√3 Answer: d) 5√3 Solution: In triangle ODA, OA=AD cosec 30=5 So if the angle AOB is 120 degree, then angle AOD will be 120/2=60

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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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Quantitative Aptitude – Geometry – Rectangle – From a rectangle ABCD of area 768 sq cm

December 22nd, 2019 by

Quantitative Aptitude – Geometry - Rectangle – From a rectangle ABCD of area 768 sq cm Slot -2 – Quantitative Aptitude – Geometry - Rectangle – From a rectangle ABCD of area 768 sq cm From a rectangle ABCD of area 768 sq cm, a semicircular part with diameter AB and area 72π sq cm is removed. The perimeter of the leftover portion, in cm, is? a) 88 + 12π b) 82 + 24π c) 80 + 16π d) 86 + 8π Answer: a) 88 + 12π Solution: Given area of semicircle = 72π Or (πr^2)/2 = 72π r = 12 So AB = 24

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Quantitative Aptitude – Geometry – Polygons – In a parallelogram ABCD of area 72 sq cm

December 21st, 2019 by

Quantitative Aptitude – Geometry - Polygons – In a parallelogram ABCD of area 72 sq cm Slot -1 – Quantitative Aptitude – Geometry - Polygons – In a parallelogram ABCD of area 72 sq cm In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is? a) 24√3 b) 12√3 c) 32√3 d) 18√3 Answer: c) 32√3 Solution: As given, Area of parallelogram ABCD = 72 So AB

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Quantitative Aptitude – Geometry – Mensuration – Let ABCD be a rectangle inscribed in a circle

December 21st, 2019 by

Quantitative Aptitude – Geometry - Mensuration – Let ABCD be a rectangle inscribed in a circle Slot -1 – Quantitative Aptitude – Geometry - Mensuration – Let ABCD be a rectangle inscribed in a circle Let ABCD be a rectangle inscribed in a circle of radius 13 cm. Which one of the following pairs can represent, in cm, the possible length and breadth of ABCD? a) 25, 10 b) 24, 12 c) 25, 9 d) 24, 10 Answer: d) 24, 10 Solution: As ABCD is a rectangle angles A,B,C and D will be 90°. Thus AC will be diameter of

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Quantitative Aptitude – Geometry – Circles – In a circle with center O and radius 1 cm

December 21st, 2019 by

Quantitative Aptitude – Geometry - Circles – In a circle with center O and radius 1 cm Slot -1 – Quantitative Aptitude – Geometry - Circles – In a circle with center O and radius 1 cm In a circle with center O and radius 1 cm, an arc AB makes an angle 60 degrees at O. Let R be the region bounded by the radii OA, OB and the arc AB. If C and D are two points on OA and OB, respectively, such that OC = OD and the area of triangle OCD is half that of R, then the length of OC, in cm, is? a) (π/6)^(1/2) b) (π/(4√3))^(1/2) c)

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