Explanation

Number of students who like football or hockey = Number of students who like football + Number of students who like hockey - Number of students who like both

We know that the total number of students is 49, and the number of students who like football or hockey is the sum of the students who like football and the students who like hockey, minus the students who like both (to avoid double-counting).

Let's denote the number of students who like both football and hockey as x.

Then, we can set up the equation:

49 = 35 + 29 - x

Combine like terms:

49 = 64 - x

Subtract 64 from both sides:

-15 = -x

Divide by -1:

x = 15

So, the number of students who like both football and hockey is 15.

Explanation

Let's break down Zara's journey step by step:

1. She walks 4 km northwards, which means she is now 4 km away from her starting point in the northern direction.

2. Then, she turns left and goes 3 km, which means she is now moving in the western direction (since she turned left from north). So, she is now 3 km west and 4 km north of her starting point.

3. Next, she turns left again and goes 1 km, which means she is now moving in the southern direction (since she turned left from west). So, she is now 3 km west and 3 km north (since she covered 1 km of the 4 km she was north) of her starting point.

4. Finally, she turns right and walks straight, which means she is now moving in the western direction again (since she turned right from south).

Therefore, Zara is walking in the western direction.

Explanation

Let's say Asad gives x sweets to Ahsan.

Then, Asad will have 20 - x sweets left.

And Ahsan will have 55 + x sweets.

We want Ahsan to have four times as many sweets as Asad, so we set up the equation:

55 + x = 4(20 - x)

Simplifying the equation, we get:

55 + x = 80 - 4x

Add 4x to both sides:

55 + 5x = 80

Subtract 55 from both sides:

5x = 25

Divide by 5:

x = 5

So Asad should give 5 sweets to Ahsan.

Then, Asad will have 20 - 5 = 15 sweets.

And Ahsan will have 55 + 5 = 60 sweets.

Indeed, Ahsan will have four times as many sweets as Asad: 60 = 4 × 15.

The correct answer is: 5

Explanation

Let's calculate the total cost of placing an advertisement containing 22 words:

Fixed cost = $3.50

Variable cost = 22 words x $0.25 per word = $5.50

Total cost = Fixed cost + Variable cost = $3.50 + $5.50 = $9.00

So, the total cost of placing an advertisement containing 22 words is $9.00.

Explanation

1.  The last place team (8th position) gets Rs. 4000.

2. The prize money increases by the same amount for each higher position.

3. There are 8 teams, so we need to find the increase in prize money per position.

4. Let's assume the increase per position is x.

5. The 7th position team gets Rs. 4000 + x = ?

6. The 6th position team gets Rs. 4000 + 2x = ?

7. ...

8. The 1st position team gets Rs. 4000 + 7x = ?

We know the total prize money is Rs. 60,000. Let's add up the prize money for each position:
Rs. 4000 + (Rs. 4000 + x) + (Rs. 4000 + 2x) + ... + (Rs. 4000 + 7x) = Rs. 60,000
Combine like terms:
8(Rs. 4000) + 28x = Rs. 60,000
Simplify:
Rs. 32,000 + 28x = Rs. 60,000
Subtract Rs. 32,000 from both sides:
28x = Rs. 28,000
Divide by 28:
x = Rs. 1000
Now we know the increase per position is Rs. 1000.
The 1st position team gets:
Rs. 4000 + 7x = Rs. 4000 + 7(Rs. 1000) = Rs. 4000 + Rs. 7000 = Rs. 11,000