Average Speed = Total Distance / Total Time = 120 km / 2 h = 60 km/h.

Profit = Selling Price - Cost Price = 600 - 500 = 100. Percentage Profit = (Profit / Cost Price) * 100 = (100 / 500) * 100 = 20%.

Discount = 10% of 500 = 50. Selling Price = Marked Price - Discount = 500 - 50 = 450.

Let the number be x. Then, 0.25x = 50. Solving gives x = 50 / 0.25 = 200.

Adding 3 to both sides gives 2x = 8, so x = 4.

Add 3 to both sides to get 5x = 15, then divide by 5 to find x = 3.

Rearranging gives 5x - 2x = 12 + 3, so 3x = 15, thus x = 5.

Dividing both sides by 5 gives x = 4.

A number divisible by both 2 and 3 is also divisible by their least common multiple, which is 6.

The least common multiple of 2 and 3 is 6.

The least common multiple of 2 and 3 is 6.

The least common multiple of 4 and 6 is 12.

a_4 = 2(4) + 1 = 8 + 1 = 9.

Total work = 10 men * 15 days = 150 man-days. For 5 men, days required = 150 / 5 = 30 days.

Using the formula for compound interest, A = P(1 + r/n)^(nt). Here, A = P + 121, r = 0.1, n = 1, t = 2. Solving gives P = 1000.

Simple Interest = Principal * Rate * Time / 100. Let Principal = P. Then, 150 = P * 5 * 3 / 100. Solving gives P = 150 * 100 / 15 = 1000.

Subtracting 5 from both sides gives x = 7.

Substituting x = 3 gives 2(3^2) - 5 = 18 - 5 = 13.

12 divided by 7 is 1 with a remainder of 5, so 12 mod 7 = 5.

15 divided by 4 equals 3.75.

The sequence doubles each time, so the next number is 32.

The sequence doubles each time, so the next term is 32.

57 divided by 5 is 11 with a remainder of 2.

15 divided by 4 gives a remainder of 3, so 15 mod 4 = 3.

Calculating gives 10 - 3(3) = 10 - 9 = 1.

5^2 = 25 and 3^2 = 9, so 25 + 9 = 34.

7 divided by 3 gives a remainder of 1.

Calculating gives 9 - 3*3 = 9 - 9 = 0.

9 divided by 5 gives a remainder of 4.

9 squared is 81.