The mean of five consecutive odd numbers A, B, C, D and E in ascending order is 37. What is the product of B and D?

1. 1365

2. 1585

3. 1935

4. 2035

The mean of 5 consecutive odd numbers of set A is 37. What will be the average of set B containing four consecutive even numbers if the smallest number of set B is 13 more than the greatest number of set A?

1. 53

2. 55

3. 57

4. 59

If the mean of the observations x₁, x₂, x₃, ……, x_n is x̄, then the mean of x₁ − a, x₂ − a, x₃ − a, ……, x_n − a is :

1. $\bar x$

2. $\bar x$ + a

3. $\bar x$ − a

4. $\Big(\dfrac{n \bar x - a}{n}\Big)$

The mean of a certain number of observations is x̄. If each observation is multiplied by m (m ≠ 0) and then increased by n, then the mean of new observations is :

1. $\Big(\dfrac{\bar x}{m} + n\Big)$

2. m $\bar x$ + n

3. m $\bar x$ − n

4. $\Big(\dfrac{\bar x}{m} - n\Big)$