Explanation

Explanation

The correct phrase is "mistaken in doing something," meaning to be wrong about an action or decision.

"In" is used to indicate the context of the mistake, making it grammatically correct.

Explanation

The correct phrase is "give assent to", meaning to approve or agree to something formally.

"Assent" refers to official approval, often used in legal or governmental contexts.

Explanation

The first modern Olympic Games were held in Athens, Greece from April 6 to 15, 1896.

43 events in nine sports.

241 athletes from 14 nations. 

The United States won the most gold medals (11).

Greece won the most medals overall (47).

Explanation

Balanced forces are equal in magnitude but act in opposite directions, resulting in no net force (Newton's First Law).

The individual forces have opposite directions, even though their effects cancel out.

Explanation

"Often" is an adverb of frequency, meaning "frequently" or "many times".

The correct sentence is: "My uncle often goes to the market."

Explanation

Explanation

Using the identity:

(1 - ω + ω²)ⁿ = (-1)ⁿ ω²ⁿ

Substituting n = 7:

(1 - ω + ω²)⁷ = (-1)⁷ ω²⁷

= -1 × ω²⁷ (since (-1)⁷ = -1)

= -128ω² (since ω²⁷ = (ω²)⁷ × ω⁰ = (ω²)⁷ = 2⁷ω² = 128ω², and multiplying by -1)

The correct answer is:

-128ω²

Explanation

حضرت شاہ ولی اللہ 1762 میں شاہ عالم ثانی کے دورِ حکومت میں وفات پا گئے۔

ان کا اصل نام قطب الدین احمد تھا، اور وہ مجدد الف ثانی کے انتقال کے تقریباً 80 سال بعد پیدا ہوئے۔

Explanation

The speed of sound in blood at body temperature (37°C) is approximately 1570 m/s, as measured in medical studies.

This is due to blood's density and compressibility, which differ from air (343 m/s) or water (1482 m/s).