Question : Directions: If the sum of three consecutive numbers is 15, what is the square of the middle number?

Option 1: 16

Option 2: 25

Option 3: 36

Option 4: 9

Question : If the three numbers in the ratio 3 : 2 : 5 such that the sum of the squares is equal to 1862, then which number is the middle one?

Option 1: 16

Option 2: 14

Option 3: 13

Option 4: 15

Question : The sum of three consecutive even numbers is 28 more than the average of these three numbers. Then the smallest of these three numbers is:

Option 1: 6

Option 2: 12

Option 3: 14

Option 4: 16

Question : The average of 5 consecutive integers starting with 'm' is n. What is the average of 6 consecutive integers starting with (m + 2)?

Option 1: $\frac{2n+5}{2}$

Option 2: $(n+2)$

Option 3: $(n+3)$

Option 4: $\frac{2n+9}{2}$

Question : If the square of the sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, what is the largest of the three numbers?

Option 1: 5

Option 2: 6

Option 3: 3

Option 4: 8