Exams


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 1546
Q:

In November 2017, an Indian short film, The School Bag won the Best Short Film Award at the South Asian Film Festival held at Montresd. Who among the following is the Director of the film?

A) Anurag Kashyap B) Dheeraj Jindal
C) Sujoy Ghosh D) Samvida Nanda
 
Answer & Explanation Answer: B) Dheeraj Jindal

Explanation:

Indian short film ‘The School Bag’, which tells a story based in Pakistan, has won the Best Short Film Award at the South Asian Film Festival of Montreal (SAFFM).It is directed by Dheeraj Jindal.

Report Error

View Answer Report Error Discuss

Filed Under: Famous Personalities
Exam Prep: Bank Exams

1 1546
Q:

Under the Indus water Treaty, India has not been given the exclusive right over which of the following rivers?

A) Ravi B) Satluj
C) Jhelum D) Beas
 
Answer & Explanation Answer: C) Jhelum

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Indian Geography
Exam Prep: Bank Exams

0 1546
Q:

ΔPQR is right angled at Q. If m∠R = 45°, then find the value of (tanP - 1/2).

A) (2-√3)/√3 B) (2√3-√6)/2√2
C) 1/2 D) (√6-6)/3√3
 
Answer & Explanation Answer: C) 1/2

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1546
Q:

What is the capital of Norway?

A) Buenos Aires B) Rome
C) Ottawa D) Oslo
 
Answer & Explanation Answer: D) Oslo

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Country Capitals
Exam Prep: Bank Exams

2 1546
Q:

What is the equation of the line passing through the point (1,3) and making an angle of -45° with the positive x-axis?

A) x + y = 4 B) x + y = 2
C) x - y = 4 D) x - y = 2
 
Answer & Explanation Answer: A) x + y = 4

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: Bank Exams

0 1546
Q:

Who invented the contact lens?

A) Enrico Fermi B) Adolf Gaston Eugen Fick
C) Sandford Fleming D) Benoit Fourneyron
 
Answer & Explanation Answer: B) Adolf Gaston Eugen Fick

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Inventions
Exam Prep: Bank Exams

0 1546
Q:

In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.


In Greek mythology, it is said that Lycurgus, the ruler of Sparta, ___________ a promise from his ____________, assuring him of the immutability of his laws till he returned from an _______________ journey. To make his laws immutable, Lycurgus _____________. Seven justices of the Indian Supreme Court on a historic day in 1973 christened themselves as modern­day Lycurguses, seeking to create, in India's constitutional context, an island of immutability, ___________ titled the "basic structure".

a promise from his ____________

A) nation B) society
C) subjects D) community
 
Answer & Explanation Answer: C) subjects

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: English
Exam Prep: Bank Exams

0 1546