Average speed = Total distance / Total time = 150 km / 3 h = 50 km/h.

Students who play only cricket = Total cricket - Both = 25 - 5 = 20.

The equation of the line is y = mx + b, where m = 1 and b = 0, thus y = x.

People who like only tea = Total tea - Both = (30% of 200) - (10% of 200) = 60 - 20 = 40.

The coefficient is C(6,2) * (5)^2 = 15 * 25 = 375.

The slopes are 2 and -1/2. The angle θ = tan^(-1) |(m1 - m2) / (1 + m1*m2)| = tan^(-1)(|2 + 1/2| / |1 - 1|) = 90 degrees.

Using the limit property, lim (x -> 0) (sin(kx)/x) = k, thus lim (x -> 0) (sin(5x)/x) = 5.

Factoring gives (x - 3)(x + 3)/(x - 3), canceling gives x + 3, substituting x = 3 gives 6.

The common difference is 5. The nth term of an arithmetic sequence is given by a_n = a + (n-1)d. Here, a = 5, d = 5, n = 10. So, a_10 = 5 + (10-1) * 5 = 5 + 45 = 50.

The coefficient is C(8,5) * (2)^5 * (-3)^3 = 56 * 32 * -27 = -48384.

Using the power rule, f'(x) = 12x^2 - 6x + 2.

Using L'Hôpital's rule, the limit evaluates to 1/2.

Factoring gives (x - 1)(x^2 + x + 1)/(x - 1), canceling gives x^2 + x + 1, substituting x = 1 gives 3.

Using the binomial theorem, (2 + 3)^4 = 5^4 = 625.

Expanding gives x^2 + 4 = 5, so x^2 = 1, thus x = ±1.

Setting x = 0 in the equation gives y = 8. Thus, the y-intercept is 8.

The number of ways to form a committee of 4 from 8 is C(8, 4) = 70.

The number of 3-digit numbers is P(5, 3) = 5! / (5-3)! = 60.

The word 'BANANA' has 6 letters with 'A' appearing 3 times and 'N' appearing 2 times. The arrangements are 6! / (3! * 2!) = 60.

The word 'LEVEL' has 5 letters with 'L' appearing 2 times and 'E' appearing 2 times. The arrangements are 5! / (2! * 2!) = 30.

The number of ways is C(6, 2) * C(5, 3) = 15 * 10 = 150.

The number of arrangements of 5 books is 5! = 120.

-2x > -4 => x < 2. The range is x < 2.

3x < 15 => x < 5. The maximum integer value is 5.

7x ≤ 7 => x ≤ 1. The maximum integer value is 1.

-3x ≥ -6 => x ≤ 2. The minimum integer value is 2.

A one-to-one function cannot exist from a larger set A to a smaller set B.

Each element in A can map to any of the 2 elements in B. Therefore, the total number of functions is 2^3 = 8.

Since A is a subset of B and B is a subset of C, it follows that A is also a subset of C.

Slope (m) = (y2 - y1) / (x2 - x1) = (6 - 2) / (3 - 1) = 4/2 = 2.