GK Express of 22/02/2025

 English Coach

1) What is Homonyms and Homophones?

Homonyms are words that have the same spelling or sound but different meanings. 

Homophones are words that sound the same but have different meanings.

2) One Word Substitution 

a) A speech without any preparation - Extempore

b) A Speech that is too long and boring - Verbose

3) Idioms and Phrases

a) What do you mean by "hit the nail on the head" mean

Describe exactly what is causing a situation or problem

b) What do you mean by "once in a blue moon" 

Very rarely

4) Question Tags

a) Let's go to the park, ___________?

shall we?

b) Few people know the truth,________?

do they

5) What is the antonym of "Diligent"

Lazy

Aptitude and Reasoning Coach

6) Averages

The average of five numbers is 42. If the sum of four of these numbers is 168, what is the fifth number?

Average= Sum of numbers/ Total Numbers 

42=168+x/5

42*5=168+x

210=168+x

x=210-168

x=42

7) Reverse Percentage 

After a 15% discount, a mobile phone costs ₹8500. What was the original price before the discount?

Let, 85% of x = 8500

Therefore, x*85/100=8500

x=8500*100/85

x=₹10000

8) Time and Work

If A can complete a work in 10 days, B can complete the same work in 15 days. How many they took to complete that if they work together?

A=10 days, =1/10

B= 15 days, =1/15

Hence, 1/10+1/15 = 1/6

So they need 6 days to complete that work combinlely 

9) A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a red ball?

Total balls=5+3+2

Red balls = 5

Probability= Favourable outcomes/ Total outcomes

Probability= 5/10

Probability = 1/2

10) Find the the 10th term of the Arthimetic Progression : 2,5,8,11,14...........

Tn = a+(n-1).d

T10 = 2+(10-1).3

T10 = 2+9*3

T10 = 29

Basic Mathematics

11) The LCM of two numbers is 60, and their HCF is 5. If one number is 20, find the other number?

Formula: LCM*HCF = Product of numbers

60*5=20*x

300=20*x

x=300/20

x=15

12) Find the sum of first 50 natural numbers?