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Q:

What is the value of (cos 40° – cos 140°)/(sin 80° + sin 20°)?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

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

A) (x2 – 1)/(x2 + 1) B) (2x2 – 4)/(2x2 + 4)
C) (x2 – 4)/(x2 + 4) D) (x2 – 2)/(x2 + 2)
 
Answer & Explanation Answer: C) (x2 – 4)/(x2 + 4)

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Q:

What is the value of {(sin 4x + sin 4y) [(tan 2x – 2y)]}/(sin 4x – sin 4y)?

A) tan 2 (2x + 2y) B) tan2
C) cot (x – y) D) tan (2x + 2y)
 
Answer & Explanation Answer: D) tan (2x + 2y)

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Q:

A cuboid has dimensions 8 cm x 10 cm x 12 cm. It is cut into small cubes of side 2 cm. What is the percentage increase in the total surface area?

A) 286.2 B) 314.32
C) 250.64 D) 386.5
 
Answer & Explanation Answer: D) 386.5

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

Q:

A solid hemisphere has radius 14 cm. It is melted to form a cylinder such that the ratio of its curved surface area and total surface area is 2 : 3. What is the radius (in cm) of its base?

A) 1033 B) 1433
C) 733 D) 2133
 
Answer & Explanation Answer: B) 1433

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Filed Under: Area
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Q:

A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere?

A) 4.2 (23) B) 2.1 23
C) 2.1 43 D) 4.2 43
 
Answer & Explanation Answer: B) 2.1 23

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Filed Under: Volume and Surface Area
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Q:

A right circular cylinder is formed. A = sum of total surface area and the area of the two bases. B = the curved surface area of this cylinder. If A : B = 3 : 2 and the volume of cylinder is 4312 cm3, then what is the sum of area (in cm2) of the two bases of this cylinder?

A) 154 B) 308
C) 462 D) 616
 
Answer & Explanation Answer: B) 308

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Q:

A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 : 3 : 6. What is the total surface area (in cm2) cuboid?

A) 215633 B) 215693
C) 214833 D) 204833
 
Answer & Explanation Answer: B) 215693

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