GK Express of 01/03/2025

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 English Coach 

1) What is the plural form of Mouse?

Mice


2) What is a word for a person who loves books?

 Bibliophile


3) What do you mean by the idiom "Spill the beans"?

Reveal any information to others


4) What is Correlative Conjunction?

A correlative conjunction is a pair of conjunctions that work together to connect words, phrases, or clauses with equal importance in a sentence. They always appear in pairs and help maintain parallel structure in writing.

Common Correlative Conjunctions:

a) Either … or → You can either stay here or come with us.

b) Neither … nor → She is neither interested nor available.

c) Both … and → Both my brother and I love cricket.

d) Not only … but also → He is not only intelligent but also hardworking.

e) Whether … or → I don’t know whether to call or text him.

f) As … as → She is as tall as her sister.


5) What is Personification?


Giving human qualities to non human things is known as personification.

Example: The trees are whispering at evening


Aptitude and Reasoning 

6) A tap fills a tank in 6 hours, and another tap empties the same tank in 9 hours. How much time will it take to fill the tank if both taps are opened together?

18 hours (Work formula: 1/6 - 1/9 = 1/18).


7) A triangle has angles in the ratio 2:3:4. What are the measures of the angles?

40°, 60°, and 80°. (Sum of angles in a triangle is 180°; solving 2x + 3x + 4x = 180 gives x = 20.)


8) A train 150 meters long crosses a pole in 10 seconds. What is its speed?

15 m/s or 54 km/h 

(Formula: Speed = Distance/Time)


9)  If the ratio of ages of A and B is 4:5 and the sum of their ages is 45, find A’s age.

4x+5x = 45

9x = 45

x = 45/9

x = 5

Therefore, A(x) = 4(5) = 20

A’s age = 20 years


10) 

Basic Mathematics Coach 

11) A rectangle has a length of 15 cm and a diagonal of 17 cm. What is its width?

8 cm. (Using Pythagoras theorem: width² = 17² - 15².)


12)  What is the formula for area and perimeter of rectangle?

Area: length x breadth

Perimeter: 2(lenght+Breadth)


13) What is formula for area of Perimeter?

2(Base+Side)


14) The LCM of two numbers is 48, and their HCF is 4. If one number is 12, find the other number?

LCM x HCF = Product of two numbers

48 x 4 = 12 x ?

Other number = 16


15) What is Srinivas Ramanujan Number and it's significance?

Srinivasa Ramanujan Number (1729) and Its Significance

The Ramanujan Number is 1729, famously known as the Hardy-Ramanujan Number.

Significance: Smallest Taxicab Number: It is the smallest number expressible as the sum of two cubes in two different ways:

1729 = 1^3 + 12^3 = 9^3 + 10^3

Applications in Mathematics: The concept of Taxicab Numbers and Ramanujan Graphs is widely used in number theory and cryptography.

Thus, 1729 is a mathematically special number due to its unique properties in n

umber theory.



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