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Q:

The angle of elevation of an aeroplane from a point on the ground is 60 deg. After flying for 30 seconds, the angle of elevation changes to 30 deg. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?

A) 50√3 B) 100√3
C) 200√3 D) 300√3
 
Answer & Explanation Answer: B) 100√3

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A prism has a regular hexagonal base with side 6 cm. If the total surface area of prism is 216√3 cm2, then what is the height (in cm) of prism?

A) 3√3 B)  6√3
C) 6 D) 3
 
Answer & Explanation Answer: A) 3√3

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

Q:

In the given figure, PQRS is a rectangle and a semicircle with SR as diameter is drawn. A circle is drawn as shown in the figure. If QR = 7 cm, then what is the radius (in cm) of the small circle ?

 

A) 21 + 14√2 B) 21 – 14√2
C) Both 21 + 14√2 and 21 – 14√2 D) None of these
 
Answer & Explanation Answer: B) 21 – 14√2

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, ABCD is a square. EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 sq.cm, the what is the area (in sq.cm) of square ABCD?

A) 98 B) 196
C) 122.5 D) 171.5
 
Answer & Explanation Answer: B) 196

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Filed Under: Area
Exam Prep: Bank Exams

Q:

PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?

A) 90 B) 108
C) 144 D) 72
 
Answer & Explanation Answer: B) 108

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

A) (64√3)/3 B) (177√3)/2
C) (135√3)/2 D) (98√3)/3
 
Answer & Explanation Answer: C) (135√3)/2

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, P  is the center of the circle. If QS = PR, then what is the ratio of angles RSP to the TPR ?

A) 1 : 4 B) 2 : 5
C) 1 : 3 D) 2 : 7
 
Answer & Explanation Answer: C) 1 : 3

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