Explanation

"Occur" is the appropriate verb to describe plots unfolding in episodes.

"Repeatedly" indicates that these plots happen often (e.g., recurring storylines).

Explanation

The sentence contains an independent clause ("he met his friend") and a dependent clause ("On reaching the destination").

It is a complex sentence because it has both independent and dependent clauses connected by a subordinating conjunction.

Explanation

No. of digits in 1-digit page nos. = 1x9 = 9.

No. of digits in 2-digit page nos. = 2 x 90 = 180.

No. of digits in 3-digit page nos. = 3 x 900 = 2700.

No. of digits in 4-digit page nos. = 3189 - (9 + 180 + 2700) = 3189 - 2889 = 300.

Therefore No. of pages with 4-digit page nos. = (300/4) = 75.

Hence, total number of pages = (999 + 75) = 1074.

Explanation

Let's calculate the total pump-hours required to empty the tank:

3 pumps * 8 hours/day * 2 days = 48 pump-hours

If 4 pumps need to empty the tank in 1 day:

Let x be the number of hours they need to work:

4 pumps * x hours/day * 1 day = 48 pump-hours

4x = 48

x = 12

Explanation

Probability = 5C2/7C2 = 10/21

Total number of balls = 2 + 3 + 2 = 7

∴ Number of ways of drawing 2 balls out of 7 = 7C2 = (7 × 6) / (2 × 1) = 42/2 = 21

Number of balls other than blue = 5

∴ Number of ways of drawing 2 balls out of 5 = 5C2 = (5 × 4) / (2 × 1) = 20/2 = 10

∴ Required Probability = 10/21

Explanation

Lord Dalhousie followed the Doctrine of Lapse and direct annexation to expand British rule.

He annexed Punjab (1849), Behar (part of Bengal Presidency), and Oudh (1856) during his tenure.

Explanation

"When they opened the suitcase, many of the items were found missing."

• "Items" is a countable plural noun, so we use "many" with it.

• "Much" is used with uncountable nouns.

• "Most" would change the meaning (implying almost all were missing), while "many" simply means a large number.

Explanation

To find the percentage of profit, use the formula:

$$text{Profit$$Cost PriceSelling )×100

Given:
Cost Price (CP) = Rs. 500
Selling Price (SP) = Rs. 800

$$text{Profit} = 800 - 500 = 300$$ $$text{Profit$$500​)×100=60%

Explanation

Luxembourg has the highest per capita income globally, according to recent IMF and World Bank data.

Among Muslim-majority countries, Qatar has the highest per capita income.

Explanation

Total students = 200

Soccer players = 120

Cricket players = 100

Students playing both games = (Soccer + Cricket) - Total

= (120 + 100) - 200

= 20

Students playing cricket but not soccer = Cricket - Both

= 100 - 20

= 80

Percentage = (80 / 200) * 100

= 40%