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Q:

ABCD is a trapezium in which AB is parallel to CD and AB = 4(CD). The diagonals of the trapezium intersects at O. What is the ratio of area of triangle DCO to the area of the triangle ABO?

A) 1 : 4 B) 1 : 2
C) 1 : 8 D) 1 : 16
 
Answer & Explanation Answer: D) 1 : 16

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

What is the area (in cm2) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

A) 275/7 B) 550/7
C) 2200/7 D) 1100/7
 
Answer & Explanation Answer: B) 550/7

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Filed Under: Area
Exam Prep: Bank Exams

Q:

PQR is an equilateral triangle whose side is 10 cm. What is the value (in cm) of the inradius of triangle PQR?

A) 5/√3 B) 10√3
C) 10/√3 D) 5√2
 
Answer & Explanation Answer: A) 5/√3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The angles of depression of two ships from the top of a light house are 60° and 45° towards east. If the ships are 300 m apart, the height of the light house is

A) 200(3+√3) meter B) 250(3+√3) meter
C) 150(3+√3) meter D) 160(3+√3) meter
 
Answer & Explanation Answer: C) 150(3+√3) meter

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

The angle of elevation of an aeroplane as observed from a point 30 m above the transparent water-surface of a lake is 30° and the angle of depression of the image of the aeroplane in the water of the lake is 60°. The height of the aeroplane from the water-surface of the lake is

A) 60 m B) 45 m
C) 50 m D) 75 m
 
Answer & Explanation Answer: A) 60 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

A hydrogen filled balloon ascending at the rate of 18 kmph was drifted by wind. Its angle of elevation at 10th and 15th minutes were found to be 60° and 45° respectively. The wind speed (in whole numbers) during the last five minutes, approximately, is equal to

A) 7 km/hr B) 11 km/ hr
C) 26 km/hr. D) 33 km/hr
 
Answer & Explanation Answer: D) 33 km/hr

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : √3 = 1.732)

A) 34.64 B) 51.96
C) 69.28 D) 103.92
 
Answer & Explanation Answer: D) 103.92

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

If O is the orthocentre of a triangle ABC and ∠BOC = 100°, the measure of ∠BAC is

A) 100° B) 180°
C) 80° D) 200°
 
Answer & Explanation Answer: C) 80°

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Filed Under: Area
Exam Prep: Bank Exams