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

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

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

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%

Explanation

Current total marks = Average * Number of tests

= 60 * 4

= 240

New average = 65

New total tests = 5

New total marks = New average * New total tests

= 65 * 5

= 325

Marks needed in the fifth test = New total marks - Current total marks

= 325 - 240

= 85

Explanation

Now, let's examine the differences between consecutive terms:

17 − 6 = 11

39 − 17 = 22

72 − 39 = 33

The pattern of differences: +11, +22, +33 → increasing by 11 each time.

Next difference should be: +44

So,

72 + 44 = 116

Explanation: Differences follow a pattern: +11, +22, +33, +44.

Explanation

We use "a little" with uncountable nouns like "French" (as a language).

It means "some" or "a small amount."

Explanation

We are given:

$$$$h3=64

To find the value of h, take the cube root of both sides:

$$$$h=3^√64 =4

So the value of h is 4.

But the question asks for the value of n, not h.

Since n is never defined, we cannot determine n from the given equation.

Answer: (D) None of these (assuming it's not a typo and the question asked for "n").

If the question meant "the value of h", then the answer would be (B) 4.