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

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

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

 "Though I am afraid of dogs, my sister, however lets her dog without a leash." 

Explanation:

"Though"

is used to introduce a clause that is in contrast to the main clause. 

"However"

is used to introduce an adverbial that contrasts the previous statement.

Explanation

"Did not stop" is the correct past tense form of the verb "stop".

"Covered" is the simple past form that matches the sequence of past events.

This sentence follows the structure of two completed actions in the past.

Correct sentence:

"Ali did not stop studying until he covered all the exam topics."

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

The sentence needs a past participle form of the verb "repair" after the preposition "have,"

This indicates that the electrician should have the switch repaired.

The structure "have someone past participle something" means that someone else should get something done by someone else.