Explanation

The shortcut key to insert a new slide in a PowerPoint presentation is Ctrl + M,

Ctrl + N shortcut key used to Create a new presentation document

Ctrl + S shortcut key used to save a presentation

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Last updated 15-feb-2026

Explanation

Finland is famously called the "Land of a Thousand Lakes."

Because it boasts over 188,000 lakes, covering about 10% of its total surface area

Capital: Helsinki

Official languages: Finnish, Swedish

It is a Nordic country in Northern Europe

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.