Explanation

 "آپ کاج مہا کاج" کا مطلب ہے کہ جو کام خود کیا جائے وہی بہتر ہوتا ہے

Explanation

محاورہ اس بات کو ظاہر کرتا ہے کہ جو شخص کام کرتا ہے یا محنت کرتا ہے، وہی اس کا حق دار ہوتا ہے۔

ملکہ یہاں علامتی طور پر اختیار یا مالکیت کے لیے استعمال ہوا ہے۔

Explanation

For collinear points, slope between any two pairs is equal:

Slope(1,2) & (4,m) = Slope(4,m) & (5,6)

(m-2)/(4-1) = (6-m)/(5-4)

(m-2)/3 = 6-m

m-2 = 18-3m

4m = 20

m = 5

Explanation

Let's assume the interest rate is 12% p.a. (common in Pakistan):

Interest = Principal × Rate × Time

54,000 = P × 0.12 × 3

P = 54,000 / (0.12 × 3)

= 54,000 / 0.36

= 150,000

Explanation

Work done by 40 men in 40 days = 1/3 of total work

Total work = 3 × (40 × 40) = 4800 man-days

Remaining work = 2/3 of total work = 3200 man-days

Time left = 50 days

Men required = 3200 ÷ 50 = 64 men

Additional men needed = 64 − 40 = 24 men

Therefore, 24 more men are required.

Explanation

Let's solve the equation:

4^(2n+3) = 8^(n+5)

Expressing both sides with base 2:

(2^2)^(2n+3) = (2^3)^(n+5)

2^(4n+6) = 2^(3n+15)

Equating exponents:

4n + 6 = 3n + 15

4n - 3n = 15 - 6

n = 9

Explanation

Passive voice focuses on the object receiving the action.

An interrogative sentence like “Did he read the book?” is active voice because the subject performs the action.

Explanation

“Take off” refers to an airplane leaving the ground and starting its flight.

It is the initial phase of a flight before cruising at altitude.

Explanation

Abrasion occurs when wind carries sand and dust, wearing down rock surfaces.

It is a common feature in desert and arid regions shaped by air action.

Explanation

“Run out” means to use up completely.

The sentence implies there is no milk left, so a stop at the store is needed.