Explanation

The profit-sharing ratio between Hyder and Ahsan is 3:5.

The total parts are 3 + 5 = 8.

Ahsan's share is 5/8 of the total profit.

Given the total profit is 32,000:

Ahsan's share = (5/8) × 32,000

= 5 × 4000

= 20,000

Explanation

To find the intersection (C ∩ D) of sets C and D, we need to find the elements that are common to both sets.

C = {a, b, e, f}

D = {2, 4, 8, 10}

Since there are no common elements between C and D, the intersection is an empty set.

Explanation

ٹکٹ ایک غیر ذی روح مذکر اسم ہے، اس لیے فعل بھی مذکر ہونا چاہیے۔

لہٰذا "خریدے" کا استعمال درست ہے۔

میں نے ٹکٹ خریدے — یہ صحیح اور نحوی اعتبار سے درست جملہ ہے۔

Explanation

Let's break it down step by step:

1. (√9²+12²) = √(81+144) = √225 = 15

2. (-3)² = 9

3. 15 + 9 = 24

4. (-1 + 2 + 3) = 4, and 4³ = 64

5. 24 - 64 = -40

6. ³√-125 = -5 (since (-5)³ = -125)

7. -40 - (-5) = -40 + 5 = -35

Explanation

جانب کا تثنیہ عربی قواعد کے مطابق "جوانب" ہے، جو دو یا زیادہ اطراف کے لیے استعمال ہوتا ہے۔

یہ لفظ عام طور پر ادبی اور رسمی انداز میں استعمال ہوتا ہے، جیسے: چاروں جوانب سے آوازیں آ رہی تھیں۔

Explanation

"Through" is used when something passes in one side and out the other of an opening, like a window.

So, "through the window" correctly describes how the fumes were entering the van.

Explanation

The phrase "can go a long way" is an idiom meaning something has a strong positive impact over time.

Can go a long way means وقت کے ساتھ ساتھ کسی چیز کا مضبوط مثبت اثر پڑتا ہے

Explanation

The primary focus of a school is to ensure the learning and development of all — students, teachers, and staff.

All school activities, including teaching and management, should support and enhance learning outcomes.

Explanation

The empirical formula shows the simplest whole-number ratio of atoms in a compound (e.g., CH₂O for glucose).

It does not reflect the actual number of atoms like the molecular formula does, just their simplest ratio.

Explanation

A magnetic field exerts a force perpendicular to the motion of the charged particle, changing its direction but not its speed.

Since no work is done by the magnetic field, the kinetic energy stays constant.