Explanation

Since B is not the son of A, and A is the father of B, it means B must be the daughter of A.

This is because A is the father, and B is not a son, so B must be a daughter.

In short, the relationship is:

A (father) → B (daughter)

Explanation

1.272747 is an irrational number.

It is a non-repeating, non-terminating decimal.

It cannot be expressed as a simple fraction of two integers.

Explanation

The pattern appears to be a repeating sequence of:

-2, -2, +3, +3, -4, -4

15 (-2) = 13

13 (-2) = 11

11 (+3) = 14

14 (+3) = 17

17 (-4) = 13

Explanation

We know that the difference of their squares is 84, so we can write the equation:

(x+2)^2 - x^2 = 84

Expanding the equation, we get:

x^2 + 4x + 4 - x^2 = 84

Simplifying the equation, we get:

4x + 4 = 84

Subtracting 4 from both sides, we get:

4x = 80

Dividing both sides by 4, we get:

x = 20

So, the two consecutive even numbers are 20 and 22.

The sum of these numbers is:

20 + 22 = 42

Explanation

Convert the speed of the train from km/hr to m/s:

45 km/hr = 45 × 1000 m / 3600 s = 12.5 m/s

The train crosses the bridge in 30 seconds, so the total distance covered is the length of the train plus the length of the bridge. Let's call the length of the bridge "x". Then, the total distance = 130 m (train length) + x.

Since the train crosses the bridge in 30 seconds, we can use the formula:

Distance = Speed × Time

Substitute the values:

130 m + x = 12.5 m/s × 30 s

Simplify the equation:

130 m + x = 375 m

Subtract 130 m from both sides:

x = 245 m

So, the length of the bridge is 245 m.

Explanation

Since the square has four equal sides, the distance covered in one side can be found by dividing the total distance covered (8 km) by 4 (the number of sides):

8 km ÷ 4 = 1 km

So, the length of one side of the square ground is 1 km.

Explanation

Goats have 4 legs each.

The total number of legs is 3004008.

To find the total number of goats, divide the total number of legs by 4:

3004008 ÷ 4 = 751002

So, the total number of goats is 751002.

Explanation

Profit = Selling Price - Cost Price

= 60,000 - 57,000

= 3,000

To find the profit percentage, divide the profit by the cost price and multiply by 100:

Profit Percentage = (Profit ÷ Cost Price) × 100

= (3,000 ÷ 57,000) × 100

= 5.26%

Explanation

Profit = 25 rupees

Selling Price = 250 rupees

To find the percentage of profit, divide the profit by the selling price (not the cost price):

Percentage of Profit = (Profit ÷ Selling Price) × 100

= (25 ÷ 250) × 100

= 10%

So, Ahmed got a 10% profit on each article.

Explanation

Since Ali gets a 25% profit by selling the article for 250 rupees, we can set up the equation:

Selling Price = Original Price + Profit

where Profit = 25% of Original Price

Substitute the values:

250 = Original Price + (25% of Original Price)

To find the original price, let's convert the percentage to a decimal:

25% = 0.25

Now, rewrite the equation:

250 = Original Price + (0.25 × Original Price)

Combine like terms:

250 = Original Price × (1 + 0.25)

Simplify:

250 = Original Price × 1.25

Now, divide both sides by 1.25:

Original Price = 250 ÷ 1.25

Original Price = 200

So, the original price of the article is 200 rupees.