4000+ Latest Bank Exams Questions and Answers with Explanation

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 =

\frac{\frac{4}{3} {πr}_{1}^{3}}{\frac{1}{3} {πr}_{2}^{2} h}

= 6√3:1

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

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Q:

Who pioneered diagnostic ultrasound?

A) Alexander Fleming	B) Ian Donald
C) A. Laveran	D) Robert Koch

Answer & Explanation Answer: B) Ian Donald

Explanation:

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Filed Under: Inventions
Exam Prep: Bank Exams

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Q:

When is International Olympic Day observed?

A) 16th August	B) 2nd February
C) 18th December	D) 23rd June

Answer & Explanation Answer: D) 23rd June

Explanation:

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Filed Under: Important Days and Years
Exam Prep: Bank Exams

1 1561

Q:

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A from these matrices can be represented first by its row and next by its column. e.g. N can be represented by 01, 14 etc. and A can be represented by 55, 69, etc. You have to identify the set for the word ‘GOOD’.

A) 02, 58, 68, 04	B) 44, 99, 76, 20
C) 31, 67, 76, 22	D) 33, 76, 86, 41

Answer & Explanation Answer: B) 44, 99, 76, 20

Explanation:

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Filed Under: Arithmetical Reasoning
Exam Prep: Bank Exams

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Q:

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

Technological improvements did not decrease human beings' _____________ to wage war.

A) routine	B) propensity
C) nature	D) pattern

Answer & Explanation Answer: B) propensity

Explanation:

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Filed Under: English
Exam Prep: Bank Exams

0 1560

Q:

What is the capital of Norway?

A) Buenos Aires	B) Rome
C) Ottawa	D) Oslo

Answer & Explanation Answer: D) Oslo

Explanation:

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Filed Under: Country Capitals
Exam Prep: Bank Exams

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Q:

2sin[(C+D)/2].sin[(D-C)/2] is equal to

A) cosC + cosD	B) cosC - cosD
C) sinC - sinD	D) sinC + sinD

Answer & Explanation Answer: B) cosC - cosD

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.

0.05, -0.1, ? , -0.4, 0.8

A) -0.2	B) 0.25
C) -0.25	D) 0.2

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