Find the cube root of $$ ^{3}\sqrt{-13824}$$.

Direction: Each of the questions consists of a question and two statements numbered I and II given below it. You have to decide whether the data provide in the statements are sufficient to answer the question. Read both the statements and Give answer.
(A) If the data in statement I alone are sufficient to answer the question, while the data in statement II alone not sufficient to answer the question;
(B) If the data in statement II alone are sufficient to answer the question, while the data in statement I all are not sufficient to answer the question;
(C) If the data either in statement I alone or in statement II alone are sufficient to answer the question;
(D) If the data even in both statements I and II together are not sufficient to answer the question;
(E) If the data in both statements I and II together are necessary to answer the question.

What is the two-digit number?
I. Sum of two digits of number is 12 and ratio between them is 2: 1.
II. Product of two digits of number is 32 and quotient of the two digits is 2. 

The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its diameter to its height.

The graphs of the equations 3x + y-5=0 and 2x- y -5=0 intersect at the point P(α,β).  What is the value of (3α + β)?

A vendor sells potatoes at a cost price, but he mixes some rotten potatoes and thereby gains 25%. The percentage of rotten potatoes in the mixture is? 

Direction : The table given below represents number of bikes of five different brands sold from 2001- 2005, with the help of data given in the table, answer the following questions.

The sales of Yamaha increased from 2001 to 2005 by what percentage?

If the difference between the compound and simple interest on a certain sum of money for 3 years at 5 % per annum is Rs. 15.25, then the sum is 

The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.