The order of ages is Y < V < W < X < Z. Therefore, Z is the oldest sibling.

C is D's cousin as they are children of siblings.

C is the child of B, and D is the sibling of B, making C and D siblings.

C is the grandchild of A, making C the grandnephew of D.

D is the sister of C, who is married to B's father, making D the daughter-in-law of A.

D is the sister of A, making her the sister-in-law of C.

C is the niece of D as D is the sister of A, the grandmother.

The grandfather has 2 sons, so he has 2 children.

The other son must also be a lawyer, as he is the brother of the father who is a doctor.

The eldest child is studying engineering, so he is an engineer.

The youngest child is likely unemployed as they are not mentioned to have a profession.

The profession of the youngest child is not specified.

The third child must be a student, as stated in the question.

The children are siblings to each other and children of the parents.

Total goals = average goals per match * number of matches = 2 * 12 = 24 goals.

The ratio of apples to oranges is 2:3. If there are 30 oranges, we can set up the proportion: 2/3 = x/30. Solving for x gives us x = 20. Therefore, there are 20 apples.

The ratio of apples to oranges is 7:5. If there are 35 apples, the number of oranges can be calculated as (35 apples * 5 oranges) / 7 apples = 25 oranges.

When a > 0 in a quadratic function, the graph opens upwards, indicating that the vertex is the minimum point.

If a > 0 in a quadratic function, the graph opens upwards, indicating that it has a minimum point.

'a' determines the direction of the parabola's opening; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

The coefficient 'a' in a quadratic function determines whether the parabola opens upwards (a > 0) or downwards (a < 0).

'a' determines the direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

'a' determines the direction of the parabola; if 'a' is positive, it opens upwards, and if negative, it opens downwards.

The function has critical points where the first derivative is zero, which can be analyzed to find both local maxima and minima.

If f(a) = f(b) for a ≠ b, it indicates that the function is not one-to-one, which means it does not pass the horizontal line test.

The probability of losing all 4 games is (0.75)^4 = 0.3164. Therefore, the probability of winning at least once is 1 - 0.3164 = 0.6836, approximately 0.84.

Let the common ratio be r. The 5th term is given by ar^4 = 64. Thus, 4r^4 = 64 => r^4 = 16 => r = 2.

Let the first term be a. The 3rd term is a * r^2 = a * 3^2 = 9a. Setting 9a = 27 gives a = 3.

The nth term of a GP is given by a * r^(n-1). Here, a = 3, r = 2, and n = 5. Thus, the 5th term = 3 * 2^(5-1) = 3 * 16 = 48.

The 6th term is given by a * r^(n-1) = 4 * (1/2)^(6-1) = 4 * (1/32) = 4/32 = 0.125.