Explanation

"With keen interest" is the correct phrase to express the manner or attitude of studying.

"In Japan" correctly refers to the location where the studying took place.

Explanation

Conclude means کسی چیز کو ختم کرنے یا ختم کرنے کے لئے

Begin means اسے شروع کرنے کے لئے

Explanation

a² - b² = (a - b)(a + b)

a⁴ - b⁴ = (a² - b²)(a² + b²)

= (a - b)(a + b)(a² + b²)

The LCM is (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²)

= a⁴ - b⁴

Explanation

To find the loss percentage:

Cost Price (CP) = Rs. 120,000

Selling Price (SP) = Rs. 96,000

Loss = CP - SP = 120,000 - 96,000 = Rs. 24,000

Loss percentage = (Loss / CP) × 100

= (24,000 / 120,000) × 100

= 0.2 × 100

= 20%

Explanation

Given:

x̄ (mean) = 12

∑x (sum) = 132

The formula for mean is:

x̄ = ∑x / n

Rearrange to find n:

n = ∑x / x̄

= 132 / 12

= 11

Explanation

Stealing a book is a physical theft, not done through digital means — so it’s not a cybercrime.

Cybercrimes include actions like stealing passwords, hacking, and online fraud, all involving computers or the internet.

Explanation

Sodium carbonate (Na₂CO₃) is commonly known as soda ash.

It is used in glass making, detergents, and water softening.

Explanation

On the number line, Point X is clearly positioned at -4, which is four units left of 0.

Explanation

Excited means جوش و خروش یا بے تابی سے بھرا ہوا

Uninterested means جوش و خروش یا دلچسپی کا فقدان

Explanation

Contemporary means جدید یا نیا

Modern means جدید یا نیا