A prism with a right triangular base is 25 cm high. If the shorter sides of the triangle are in the ratio of 1 : 2 and the volume of the prism is 100 cm³ , what is the length of the longest side of the triangle?

Directions: Read the pie chart carefully and answer the following questions.

Note: No new employees joined the given banks of left the given banks from January 2015 to December 2015.

What is the average number of scales I officers in Banks D, E and F?

What should come in place of the question mark '?' in the following number series?

9, 19, 40, 83, ?, 345, 696

If a + b – c = 0 then the value of 2b²c² + 2c²a² + 2a²b² –a⁴ – b⁴ – c⁴

The average of twenty-five numbers is 54. The average of the first 13 numbers and that of the last 13 numbers is 52.8 and 62.2, respectively. If the 13th number is excluded, then what is the average of the remaining numbers (correct to one decimal place)?

Direction: In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. 9x² – 3x – 2 = 0
II. y² – 8y + 16 = 0

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² - 25x + 156 = 0

II. y²- 20y + 96 = 0

If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?