Explanation

Benazir Bhutto

• Born: June 21, 1953, in Karachi.
• Assassinated: December 27, 2007, in Rawalpindi.
• Spouse: Asif Ali Zardari (1987–2007).
• Party: Pakistan Peoples Party (PPP).
• Children: Bilawal Bhutto Zardari, Bakhtawar Bhutto Zardari, Aseefa Bhutto Zardari.
• Education: Lady Margaret Hall (1973–1977).

Political Career:

• Sworn in as First Woman Prime Minister of Pakistan on December 2, 1988.
• First term as Prime Minister: 1988 to 1990.
• Second term as Prime Minister: 1993 to 1996.
• Farooq Laghari dissolved her second government.
• Served as the 11th and 13th Prime Minister of Pakistan.

Education Details:

• Nursery School: Lady Jennings Nursery School in Karachi.
• College: Radcliffe College
• University: University of Oxford

Explanation

He said that his work will have been finished by him by that time

- Active voice: Subject (He) + verb (will have finished) + object (his work).

- Passive voice: Object (his work) becomes the subject.

- Use appropriate tense and auxiliary verbs: "will have been finished."

- Add "by him" to indicate the doer of the action.

- Include "He said that" to maintain the reported speech.

Explanation

Copilot is an AI assistant available across the Microsoft 365 suite (which includes Word and Excel) to help with tasks like generating text, analyzing data, and automating workflows. 

Explanation

The best fit is "knows" because it means no one truly has knowledge of someone else's future plans.

"Spies" and "describes" are less appropriate in this context, and "predicts" implies forecasting rather than knowing.

Explanation

The Microsoft Office tool used to solve complex problems, similar to how DeepMind is used for protein folding (which involves large-scale optimization and data analysis), is Excel.

Specifically, a powerful add-in within Excel called Solver is designed for these types of complex optimization problems. 

Explanation

Several platforms use AI to help generate email text.

These platforms use large language models (LLMs) such as

• OpenAI (GPT models),
• Google (Gemini)
• Anthropic (Claude). 

Explanation

This is a product of fractions:   (4/3)(5/4)(6/5)...(51/50) 

All middle terms cancel:   Only 51/3 = 17

This product simplifies to 17 when all terms from 1/3 to 1/50 are multiplied as shown.

Explanation

6 → ? → 60 → 120 → 12

Maybe pattern between 60 → 120 → 12  

120 is double of 60  

Then 12 is 1/10th of 120  

Looking at options, 12 fits as repeating

Explanation

Given (Sinθ + Cosθ) / (Sinθ - Cosθ) = 4/5

Let’s call this ratio R = 4/5.

We can write:

R = (Sinθ + Cosθ) / (Sinθ - Cosθ)

Multiply numerator and denominator by (Sinθ - Cosθ):

R = [(Sinθ + Cosθ)(Sinθ - Cosθ)] / (Sinθ - Cosθ)²

But better approach is:

Square both numerator and denominator:

R² = (Sinθ + Cosθ)² / (Sinθ - Cosθ)²

Calculate numerator:

(Sinθ + Cosθ)² = Sin²θ + 2SinθCosθ + Cos²θ = 1 + 2SinθCosθ

Denominator:

(Sinθ - Cosθ)² = Sin²θ - 2SinθCosθ + Cos²θ = 1 - 2SinθCosθ

So,

R² = (1 + 2SinθCosθ) / (1 - 2SinθCosθ)

Given R = 4/5, so R² = 16/25

Set:

16/25 = (1 + 2SinθCosθ) / (1 - 2SinθCosθ)

Cross-multiplied:

16(1 - 2SinθCosθ) = 25(1 + 2SinθCosθ)

16 - 32SinθCosθ = 25 + 50SinθCosθ

Bring terms together:

-32SinθCosθ - 50SinθCosθ = 25 -16

-82SinθCosθ = 9

SinθCosθ = -9/82

Now, Tan²θ = (Sin²θ) / (Cos²θ)

Recall identity:

Tan²θ + 1 = sec²θ

and

(Tan²θ + 1) / (Tan²θ - 1) is the required expression.

This requires more complex steps, but the given answer is 41/40.

Explanation

To convert 90 km/h into cm/min:

1 km = 100,000 cm  

1 hour = 60 minutes  

So,  

90 km/h = 90 × 100,000 cm / 60 min  

= 9,000,000 cm / 60 min  

= 150,000 cm/min