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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:

If x = cosecθ - sinθ and y = secθ - cosθ, then the relation between x and y is

A) x2+ y2+ 3 =1 B) x2y2 (x2+ y2+3)=1
C) x2 (x2+ y2 - 5)=1 D) y2 (x2+ y2 - 5)=1
 
Answer & Explanation Answer: B) x2y2 (x2+ y2+3)=1

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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:

PQ and RS are common tangents to two circles intersecting at A and B. AB, when produced both sides, meet the tangents PQ and RS at X and Y, respectively. If AB = 3 cm, XY = 5 cm, then PQ (in cm) will be

A) 3 cm B) 4 cm
C) 5 cm D) 2 cm
 
Answer & Explanation Answer: B) 4 cm

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Filed Under: Volume and Surface Area
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

Q:

Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ΔAOB and ΔCOD is

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

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Filed Under: Area
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Q:

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD:DB = 4:5, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF

A) 16:25 B) 16:81
C) 81:16 D) 4:9
 
Answer & Explanation Answer: B) 16:81

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Filed Under: Area
Exam Prep: Bank Exams