Aptitude and Reasoning Questions

Q:

If sin (3x ­ 20°) = cos (3y + 20°), then find the value of (x + y).

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1632
Q:

If 4 * 5 % 3 = 8000 and 2 * 3 % 2 = 36, then 4 * 3 % 3 = ?

A) 432 B) 1728
C) 36 D) 144
 
Answer & Explanation Answer: B) 1728

Explanation:
Report Error

View Answer Report Error Discuss

0 1632
Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

Report Error

View Answer Report Error Discuss

0 1632
Q:

The total surface area of a hemisphere is 4158 cm2. Find its diameter (in cm).

A) 21 B) 84
C) 42 D) 63
 
Answer & Explanation Answer: B) 84

Explanation:
Report Error

View Answer Report Error Discuss

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

2 1631
Q:

What is the value of (1 + cotA)2 + (1 -­ cotA)2?

A) 2cosec2A B) 2sec2A
C) 1 -­ 2cosec2A D) 1 -­ 2sec2A
 
Answer & Explanation Answer: A) 2cosec2A

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1631
Q:

An octahedron has 6 vertices. How many edges does it have?

A) 8 B) 12
C) 6 D) 10
 
Answer & Explanation Answer: B) 12

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

0 1631
Q:

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in sq.cm) of the shaded region?

 

A) 414.46 B) 382.82
C) 406.48 D) 394.24
 
Answer & Explanation Answer: D) 394.24

Explanation:
Report Error

View Answer Report Error Discuss

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

0 1631
Q:

If x = 313- 3-13, then 3x2 + 9x is equal to

A) 5 B) 6
C) 7 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1631