Explanation

The six-party talks aimed to find a peaceful resolution as a result of the North Korean nuclear weapons program.

There was a series of meetings with six participating states in Beijing:

•  China
•  Japan
•  North Korea
•  South Korea
• Russia
• United States

Explanation

 The 2nd RCEP Summit was held in Singapore on November 14, 2018. 

Additional information 

The Regional Comprehensive Economic Partnership is a free trade agreement among the 15 Members 

All ten members of ASEAN (excludes candidate member  East Timor):

1 Brunei

 2 Cambodia

3 Indonesia

4 Laos

5 Malaysia

6 Myanmar

 7 Philippines

 8 Singapore

9 Thailand

10 Vietnam

The three East Asian members of ASEAN Plus Three:

11 China

12 Japan

13 South Korea

The two Oceanian members of ASEAN Plus Six:

14 Australia

15 New Zealand

The 15 member countries account for about 30% of the world's population (2.2 billion people) and 30% of global GDP ($29.7 trillion)

The RCEP was signed virtually on November 15, 2020, on the sidelines of the annual summit of the 10-nation Association of Southeast Asian Nations.

RCEP) was signed virtually, and organized by Vietnam

Effective: 1 January 2022

Language: English 

Explanation

1. Divide 3239 by 2923:

$$3239÷2923=1\text{(remainder = 3239 - 2923 = 316)}$$

2. Now, divide 2923 by 316:

$$2923÷316=9\text{(remainder = 2923 - 9 × 316 = 2923 - 2844 = 79)}$$

3. Now, divide 316 by 79:

$$316÷79=4\text{(remainder = 316 - 4 × 79 = 316 - 316 = 0)}$$

Since the remainder is 0, the H.C.F is 79.

Explanation

Simplify the square root:

√1.96/100

√1.96/ √100

√1.96 = 1.4

√100 =10

14/10 = 0.14

Explanation

We are given:

• H.C.F (Highest Common Factor) = 12

• Difference between the two numbers = 12

  Step-by-step method:

Let the two numbers be:
x and x + 12

Since H.C.F = 12, both numbers must be divisible by 12.

Let’s assume:

$$x=12a\text{and}x+12=12b$$

So,

$$x+12-x=12b-12a=12(b-a)=12\Rightarrow b-a=1$$

So:

$$a=k,b=k+1\Rightarrow \text{The numbers are }12k\text{ and }12(k+1)$$

Try k = 7:

$$12 × 7 = 84,quad 12 × 8 = 96 Rightarrow text{Numbers are } 84 text{ and } 96$$

• Difference: $96-84=12$ 

• H.C.F of 84 and 96 is 12 

Explanation

Given numbers:
0.1, 0.21, 0.31, 0.41, 0.51

Step 1: Add all the numbers

$$0.1 + 0.21 + 0.31 + 0.41 + 0.51 = 1.54$$

Step 2: Divide by the number of values

$$frac{1.54}{5} = 0.308$$

Explanation

Given:

• 16 machines finish the work in 4 days

• Now we want to know how many days will take 8 machines for the same work

Concept:

More machines → Less time
Fewer machines → More time
This is an inverse proportion relationship.

So,

$$text{Days} propto frac{1}{text{Machines}}$$ $$text{New Days} = 4 times frac{16}{8} = 4 times 2 = 8 text{ days}$$

Explanation

• Price of 2½ dozens eggs = Rs. 75

• 1 dozen = 12 eggs

So:

2x1​/2 dozens=2.5×12=30 eggs

Now find the price of one egg:

$$text{Price of 1 egg} = frac{75}{30} = text{Rs. 2.50}$$

Explanation

Convert the decimal to a fraction: The decimal 1.269 equals 1 + 0.269.

Express the decimal part as a fraction: 0.269 can be written as 269/1000.

Combine the whole number and fractional part: Therefore, 1.269 is equal to 1 + 269/1000.

Express as a mixed number: This equals 1 269/1000. 

Explanation

Convex lenses converge light rays and are used in reading glasses to magnify close-up text.

A short focal length provides greater magnification, making it ideal for reading.