Correct Answer: C. 58°

Explanation

Alternate segments are equal : R° = 64°

An isosceles triangle has two angles ( Q° & N° ) equal as A°

R° + A° + A° = 180°

2A°= 180 - 64

2A° = 116°

A = \(\frac{116}{2}\)

A = 58.

: Q° = 58, N° = 58 and T° = 58°

As Alternate segments are equal: T = Q

Correct Answer: B. terms of trade

Explanation

The rate at which a country's export exchange for its imports is known as the 'terms of trade'. The terms of trade are the ratio of an index of a country's export prices to an index of its import prices. It shows the quantity of import goods an economy can purchase per unit of export goods.

Correct Answer: B. air

Correct Answer: B. no person could interpret Pharaoh's dream

Correct Answer: C. government and private investors

Correct Answer: A. Those were

Explanation

Let's break down the options to find the most appropriate completion for the sentence: .... the main points of the lectures given by the Director of the institute

The key part of the sentence is the main points.

• points is a plural noun.

• Therefore, the verb preceding it must be plural to ensure subject-verb agreement.

Let's analyze each option:

• A. Those were

* Those is a plural demonstrative pronoun.

* were is the past tense plural form of to be.

* Those were the main points... is grammatically correct. This phrase is commonly used to refer to or summarize specific items that have been discussed or are being identified. For example, I've outlined everything, and those were the main points.

• B. That was

* That is a singular demonstrative pronoun.

* was is the past tense singular form of to be.

* That was the main points... is grammatically incorrect because That was (singular) does not agree with the main points (plural).

• C. There were

* There is an expletive pronoun (or dummy subject) used to introduce the existence of something.

* were is the past tense plural form of to be.

* There were the main points... is grammatically correct. This phrase means The main points existed. For example, In the lectures, there were the main points about the new policy.

• D. This was

* This is a singular demonstrative pronoun.

* was is the past tense singular form of to be.

* This was the main points... is grammatically incorrect because This was (singular) does not agree with the main points (plural).

Both A and C are grammatically correct in terms of subject-verb agreement. Now we need to determine which one is *most appropriate* semantically and idiomatically.

• Those were the main points... is typically used to *identify* or *summarize* a specific set of points, especially if they have just been discussed, are implied by the context, or are being presented as a summary. It points directly to the main points. This is a very common and natural way to complete the sentence if one is referring to specific known points.

• There were the main points... emphasizes the *existence* of the main points. While grammatically sound, it can sometimes sound a bit less direct for identification compared to Those were or These were when referring to a definite set. For example, There were many topics discussed, and among them, there were the main points. However, when simply stating the main points as the subject, Those were often fits better for a summary or identification.

Given the common usage, if one is summarizing or referring to specific identified main points, Those were is generally the most appropriate and natural choice. It directly links the demonstrative those to the specific main points.

The final answer is A

Correct Answer: A. Law

Correct Answer: B. microsecond

Correct Answer: C. Epidermis

Correct Answer: C. 5

Explanation

\(5+x\rightarrow 500\\

3 \rightarrow 150\\

∴ 3 \times 500 = 150 \times (5+x)\\

1500 = 750 + 150x\\

x=\frac{750}{150}=5\)