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Q:

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

A) 230.63 m/sec B) 230.93 m/sec
C) 235.85 m/sec D) 236.25 m/sec
 
Answer & Explanation Answer: B) 230.93 m/sec

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is

A) √3 B) 1/√3
C) 1 D) 2+√2
 
Answer & Explanation Answer: C) 1

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Filed Under: Area
Exam Prep: Bank Exams

Q:

An equilateral triangle of side 6 cm is inscribed in a circle. Then radius of the circle is

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

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Filed Under: Area
Exam Prep: Bank Exams

Q:

ΔABC is isosceles having AB = AC and ∠A = 40°. Bisectors PO and OQ of the exterior angles ∠ABD and ∠ACE formed by producing BC on both sides, meet at O. Then the value of ∠BOC is

A) 70° B) 110°
C) 80° D) 55°
 
Answer & Explanation Answer: A) 70°

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

Q:

In an equilateral triangle ABC, G is the centroid. Each side of the triangle is 6 cm. The length of AG is

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

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratio of areas of the isosceles triangle and an equilateral triangle with same perimeter is

A) 30√5 : 100 B) 32√5 : 100
C) 36√5 : 100 D) 42√5 : 100
 
Answer & Explanation Answer: C) 36√5 : 100

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Filed Under: Area
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Q:

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are

A) 10, 20 B) 4, 8
C) 3, 6 D) 5, 10
 
Answer & Explanation Answer: D) 5, 10

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

Q:

A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then area will be longest in shape of

A) Circle B) Equilateral triangle
C) Square D) Equal in all the shapes
 
Answer & Explanation Answer: A) Circle

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Filed Under: Area
Exam Prep: Bank Exams