Aptitude and Reasoning Questions

Q:

Find the volume (in cm3) of a right circular cylinder of diameter 21 cm and height 10 cm.

A) 3118 B) 3275
C) 3621 D) 3465
 
Answer & Explanation Answer: D) 3465

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Area
Exam Prep: Bank Exams

1 1293
Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1 B) 7 : 2
C) 3√3:1   D) 5√3:1
 
Answer & Explanation Answer: A) 6√3:1

Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
Volume of sphere/volume of cone = 43πr1313πr22h = 6√3:1
Report Error

View Answer Report Error Discuss

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

0 1293
Q:

A certain principal is invested in a scheme of compound interest. The amount obtained after 1 year is Rs 2400 and the amount obtained after 2 years is Rs 2880. What is the rate of interest (in percentage)?

A) 20 B) 15
C) 25 D) 10
 
Answer & Explanation Answer: A) 20

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: Bank Exams

1 1293
Q:

Find  two  natural  numbers  whose  sum  is  85 andtheleast common multiple is 102.

A) 30 & 55 B) 17 & 68
C) 35& 55 D) 51 & 34
 
Answer & Explanation Answer: D) 51 & 34

Explanation:

Let a + b = 85→b = 85 –a

LCM(a,b) =102→ab = 102

k→a(85 –a) = 102k, where k is a natural number.

Report Error

View Answer Report Error Discuss

Filed Under: Numbers
Exam Prep: Bank Exams

0 1293
Q:

Rakhi got engaged 10 years ago. Rakhi's present age is 5/3 of her age at the time of engagement. If the present age of Rakhi's mother is twice that ofpresent age of Rakhi, then what was her mother's age (in years) at the time of her engagement?

A) 50 B) 40
C) 30 D) 60
 
Answer & Explanation Answer: B) 40

Explanation:
Report Error

View Answer Report Error Discuss

2 1293
Q:

Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

A) 98 B) 89
C) 78 D) 87
 
Answer & Explanation Answer: B) 89

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT

0 1293
Q:

Raghu's tanker can fill a cistern in 4 hours. After half the cistern is filled, three more similar tankers are opened. What is the total time taken to fillthe cistern completely?

A) 2h 30 min B) 2h
C) 3h D) 2h 40 min
 
Answer & Explanation Answer: A) 2h 30 min

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

3 1292
Q:

Rs. x invested at 9% simple interest per annum for 5 years yields the same interest as that on Rs. y invested at 6.25% simple interest per annum for 8 years. Find x:y.

 

 

A) 16:15   B) 10:9  
C) 45:50   D) 5:8
 
Answer & Explanation Answer: B) 10:9  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: Bank Exams

4 1292