Explanation

If a, b, c ∈ R (real numbers), then:

a < b ⟹ a + c < b + c

This is a fundamental property of inequalities, which states that adding the same value to both sides of an inequality preserves the inequality.

Explanation

Terminating Decimal Definition:

A decimal that ends after a finite number of digits (e.g., 0.5, 0.75).

0.125: Terminates after 3 digits.

Explanation

Passage for Reading Comprehension: The Constitution of the Islamic Republic of Pakistan (1973) has several key features. It is a written and detailed document comprising 280 articles, 12 parts, and six schedules. It declares Islam as the state religion, Urdu as the national language, and English as the official language. Additionally, it ensures an independent judiciary to protect citizens' rights and safeguards the rights of minorities. The 1973 Constitution provides the separation of powers among the Executive, Legislature, and Judiciary. Pakistan is a sovereign state governed by elected representatives.

1. The similar meaning of the word 'sovereign' is?

Autonomous means خود مختار

Sovereign means خودمختار

2. The similar meaning of the word 'several' is?

Diverse means متنوع

Several means کئی

3. The similar meaning of the word 'official' is?

Formal means مجاز ، تسلیم شدہ

Official means مجاز ، تسلیم شدہ

4. The opposite meaning of the word 'ensure' is?

Prevent means روک تھام

Ensure means یقینی بنائیں

5. The opposite meaning of the word 'elected' is?

Unelected means غیر منتخب

Elected means منتخب

6. The Constitution of the Islamic Republic of Pakistan consists of ______?

280 articles

7. The Constitution of the Islamic Republic of Pakistan declares Urdu as ______?

National language

8. The Constitution of the Islamic Republic of Pakistan declares English as _______?

Official language

9. The 1973 Constitution provides the separation of powers among the Executive, Legislature, and ______?

Judiciary

10. Pakistan is a sovereign state governed by _____?

Elected representatives

Explanation

Rounding Rule for Two Decimal Places:

Look at the third decimal digit (6 in 3.8461).

If it is 5 or greater, round the second decimal digit up (4 → 5).

If it is less than 5, keep the second decimal digit unchanged.

Step-by-Step Rounding:

Original: 3.8461

Third decimal digit = 6 (≥5), so round the second decimal (4) up to 5.

Result: 3.85

Explanation

Explanation

Explanation

Stomata are tiny pores (usually on leaves) that allow gas exchange (CO₂ in for photosynthesis, O₂ out).

They also regulate water vapor release (transpiration).

Explanation

The expression {x|x ∈ A ∨ x ∈ B} represents the set of elements that are in A or in B or in both.

This is the definition of the union of two sets, denoted as A ∪ B.

Explanation

Significance of Congregational Prayer (Jama'at):

Unity (Ittihad): Praying together fosters brotherhood, equality (shoulder-to-shoulder rows), and collective discipline among Muslims.

Quranic Emphasis: "Hold firmly to the rope of Allah and do not be divided" (Quran 3:103).

Explanation

The intersection of two sets X and Y (X ∩ Y) is the set of elements that are common to both X and Y.

Given:

X = {2, 4, 6, 8}

Y = {1, 2, 3, 6}

The common elements are 2 and 6.

So, X ∩ Y = {2, 6}.