Algebra

If log(base a) 2 = x and log(base a) 8 = y, what is the value of log(base a) 16? 

If pqr ≠ 0 and p^(-x) = 1/q, q^(-y) = 1/r, r^(-z) = 1/p, find the value of the product xyz ?

If values of P=3, R=27, T=243, then find the value of Q+S = ________ .

The value of x+1/2x is given as 2, then find the value of 8x³+1/x³

The sum of two numbers is 24 and their product is 128. Find the absolute difference of numbers.

The cubic polynomial y(x) which takes the following values: y(0) = 1, y(1) = 0, y(2) = 1 y(3) = 10 is

choose the correct answer:

Following instructions are to be used throughout the quiz:

Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question.
Read both the statements and Give answer
(a) if the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.
(b) if the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.
(c) if the data in each Statement I and Statement II alone is 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.

If x,y are integers, then (x² + y²)^1/2 is an integer?
I) x² + y² is an integer
II) x² - 3y² = 0

If a total of 324 coins of 20 paise and 25 paise make a sum of Rs 71. Then find the number of 25-paise coins.

A zoo has some peacocks and some horses. If the number of heads be 48 and the number of feet be 140, then the number of peacocks will be: