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Q:

A helicopter, at an altitude of 1500 m, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30°respectively. Distance between the two ships, in metres is

A) 1000√3 B) 1000/√3
C) 500√3 D) 500/√3
 
Answer & Explanation Answer: A) 1000√3

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: A) 30°

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Filed Under: Area
Exam Prep: Bank Exams

Q:

If the difference between the measures of the two smaller angles of a right angled triangle is 8°, then the smallest angle is

A) 37° B) 41°
C) 42° D) 49°
 
Answer & Explanation Answer: B) 41°

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

Q:

In a triangle ABC, OB and OC are the bisectors of angles ∠ B and ∠C respectively. ∠BAC = 60°. Then the angle ∠BOC will be

A) 150° B) 120°
C) 100° D) 90°
 
Answer & Explanation Answer: B) 120°

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

Q:

Find the number of triangles in the given figure

A) 11 B) 12
C) 13 D) 14
 
Answer & Explanation Answer: C) 13

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Filed Under: Image Analysis
Exam Prep: Bank Exams

Q:

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is

A) 4 m B) 7 m
C) 9 m D) 6 m
 
Answer & Explanation Answer: D) 6 m

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

If θ is positive acute angle and 7cos2Ɵ + 3sin2Ɵ = 4, then the value of θ is

A) 60° B) 30°
C) 45° D) 90°
 
Answer & Explanation Answer: A) 60°

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In an isosceles triangle ABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to

A) 90° B) 100°
C) 130° D) 80°
 
Answer & Explanation Answer: C) 130°

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