Explanation

Let's find the third number:

Average = (Sum of numbers) / 3

65 = (60 + 75 + x) / 3

65 × 3 = 60 + 75 + x

195 = 135 + x

x = 195 - 135

x = 60

Explanation

- 3 pointers point 3 walls in 3 minutes.

- So, 1 pointer points 1 wall in 3 minutes.

Now, we want to know how many pointers are needed to point 27 walls in 9 minutes.

Since 1 pointer points 1 wall in 3 minutes, in 9 minutes (which is 3 times longer), 1 pointer can point:

1 wall × 3 = 3 walls.

To point 27 walls in 9 minutes:

Number of pointers needed = Total walls / Walls per pointer = 27 / 3 = 9 pointers.

Explanation

We need to divide Rs. 712,000 between two towns with populations 1,800 and 1,500, in proportion to their population.

Step 1: Total Population  

1800 + 1500 = 3300

Step 2: Share per person  

712,000 ÷ 3300 = Rs. 215.76 approx.

Step 3: Each town’s share  

- Town A (1800 people):  

  1800 × 215.76 = Rs. 388,363 approx.  

- Town B (1500 people):  

  1500 × 215.76 = Rs. 323,636 approx.

Explanation

In a knockout tournament, each match eliminates one team. To decide a single winner from n teams, we must eliminate (n − 1) teams.

Here, n = 23  

So, number of matches needed = 23 − 1 = 22

Explanation

If Bastion is 16th from the front and 16th from the back, it means there are 15 people ahead of him and 15 people behind him.

So, total people in line =  

15 (in front) + 1 (Bastion) + 15 (behind) = 31

Explanation

Let the third number be x.

Average = (65 + 45 + x)/3 = 50

(110 + x)/3 = 50

110 + x = 150

x = 40

Explanation

"Two-fifths" of a number = 60  

That means:

(2/5) × number = 60

To find the number, multiply both sides by 5/2:

number = (60 × 5) / 2 = 300 / 2 = 150

Explanation

Explanation

Total marks of 10 students = 10 × 80 = 800

Total marks of 15 students = 15 × 85 = 1275

Total marks of 5 new students = 1275 - 800 = 475

Explanation

Let the original number of boys be n.

Original average = 30 kg  

New average after adding boy = 31 kg  

Weight of new boy = 35 kg

Total weight originally = 30n  

Total weight after adding = 30n + 35

New average = (30n + 35) / (n + 1) = 31

So,  

(30n + 35) = 31(n + 1)  

30n + 35 = 31n + 31  

35 - 31 = 31n - 30n  

4 = n