Bank Clerk Questions


Q:

Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 

A) 14.69 cm B) 15.69 cm
C) 18.65 cm D) 16.42 cm
 
Answer & Explanation Answer: B) 15.69 cm

Explanation:

circle11487663359.jpg image

Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC
perpendicular to both chords. That divides the two chords in half.
So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.
We are given that BC = 5, the distance between the two chords. Let
OB = x.

We use the Pythagorean theorem on right triangle ABO

AO² = AB² + OB²
r² = 14² + x²

We use the Pythagorean theorem on right triangle DCO

DO² = CD² + OC²

We see that OC = OB+BC = x+5, so

r² = 10² + (x+5)²

So we have a system of two equations:

r² = 14² + x²
r² = 10² + (x+5)²

Since both left sides equal r², set the right sides
equal to each other.

14² + x² = 10² + (x+5)²
196 + x² = 100 + x² + 10x + 25
196 = 125 + 10x
71 = 10x
7.1 = x

r² = 14² + x²
r² = 196 + (7.1)²
r² = 196 + 50.41
r² = 246.41
r = √246.41
r = 15.69745202 cm

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Filed Under: Simplification
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Q:

How many words can be formed with or without meaning by using three letters out of k, l, m, n, o without repetition of alphabets.

A) 60 B) 120
C) 240 D) 30
 
Answer & Explanation Answer: A) 60

Explanation:

Given letters are k, l, m, n, o = 5

number of letters to be in the words = 3

Total number of words that can be formed from these 5 letters taken 3 at a time without repetation of letters = 5P3 ways.

 5P3 = 5 x 4 x 3 = 60 words.

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Filed Under: Permutations and Combinations
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9 4262
Q:

The Jigme Dorji National Park is located in which country  ?

A) Myanmar B) Bhutan
C) India D) Nepal
 
Answer & Explanation Answer: B) Bhutan

Explanation:

The Jigme Dorji National Park is the second-largest National Park of Bhutan. The park provides sanctuary for 37 known species of mammals including several endangered, threatened or vulnerable species, such as the takin, snow leopard, clouded leopard, Bengal tiger, bharal or Himalayan blue sheep, etc. It is also home to the Indian leopard, serow, sambar, barking deer, goral, marmot, pika and more than 300 species of birds. It is also the only park in Bhutan where the national animal (takin), flower (blue poppy), bird (raven) and tree (cypress) exist together.

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Filed Under: World Geography
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5 4262
Q:

Solve the given math puzzle?

math_puzzle21543466621.jpg image

A) 11 B) 3
C) 10 D) 1
 
Answer & Explanation Answer: C) 10

Explanation:

From the given data,

1 + 9 + 8 = 1

ONE + NINE + EIGHT

Consider the first letters and join them viz O N E = 1

So, now consider 2 + 8 + 9 in similar way

TWO+EIGHT+NINE

First letters are T E N = 10

2 + 8 + 9 = 1⃣0⃣ 

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Filed Under: Math Puzzles
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11 4259
Q:

What is the feminine of bull  ?

A) Mule B) Ostrich
C) Tigress D) Heifer
 
Answer & Explanation Answer: D) Heifer

Explanation:
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Filed Under: Analogy
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5 4259
Q:

Which of the following is a nucleotide found in DNA?

A) Deoxyribose + Phosphate Group + Polymerase B) Adenine + Phosphate Group + Thymine
C) Deoxyribose + Phosphate Group + Thymine D) Cytosine + Phosphate Group + Uracil
 
Answer & Explanation Answer: C) Deoxyribose + Phosphate Group + Thymine

Explanation:

We know that, the nucleotide in DNA is of the form deoxyribose + phosphate group + polymerase.

 

Which_of_the_following_is_a_nucleotide_found_in_DNA1553496102.jpg image

 

Hence, Deoxyribose + Phosphate Group + Thymine is the only option in that form of nucleotide in DNA.

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Filed Under: Biology
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3 4255
Q:

Break the logic behind the given mathematical puzzle?

Maths_logic_puzzle1557901040.png image

A) 7 B) 8
C) 11 D) 13
 
Answer & Explanation Answer: B) 8

Explanation:

In the given puzzle,

The logic is in the format of lets say, a/b


In that case b doesn't matter, because

2/2 = 1,

6/5 = 6/2 = 3,

10/11 = 10/2 = 5

 

This means that equation is a/2

So 16/19 is equal 16/2 = 8.

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Filed Under: Math Puzzles
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19 4251
Q:

What does PMKSY stands for ?

A) Pradhan Mantri Kaushal Sampada Yojana B) Pradhan Mantri Kalyan Sampada Yojana
C) Pradhan Mantri Kisan Sampada Yojana D) Pradhan Mantri Kisan Seva Yojana
 
Answer & Explanation Answer: C) Pradhan Mantri Kisan Sampada Yojana

Explanation:
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Filed Under: General Awareness
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