Mathematics Past Questions and Answers

How many different 8 letter words are possible using the letters of the word SYLLABUS?

Evaluate: 16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)

Let '*' and '^' be two binary operations such that a * b = a\(^2\)b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).

Evaluate \(\int_0^1 4x - 6\sqrt[3] {x^2}dx\)

The population of a village decreased from 1,230 to 1,040 due to breakout of an epidemic. What is the percentage decrease in the population?