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Q:

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A hemisphere is kept on top of a cube. Its front view is shown in the given figure. The total weight of the figure is 21 cm. The ratio of curved surface area of hemisphere and total surface area of cube is 11 : 42. What is the total volume (in cub.cm) of figure?

A) 3318.33	B) 3462.67
C) 3154.67	D) 3248.33

Answer & Explanation Answer: B) 3462.67

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

Q:

In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in sq.cm) of the circle?

A) 385 – 221√2	B) 308 – 154√2
C) 154 – 77√2	D) 462 – 308√2

Answer & Explanation Answer: D) 462 – 308√2

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Filed Under: 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:

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:

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

A) 60	B) 54
C) 48	D) 72

Answer & Explanation Answer: A) 60

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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

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