Front

What is logical reasoning?

Back

Logical reasoning is the process of using a structured, systematic approach to analyze information and draw conclusions based on evidence and principles.

Front

Define permutations in combinatorics.

Back

Permutations refer to the different arrangements of a set of items where the order matters.

Front

What is the formula for calculating permutations of n items taken r at a time?

Back

The formula is P(n, r) = n! / (n - r)! where n is the total number of items and r is the number of items to arrange.

Front

What is the difference between combinations and permutations?

Back

Combinations are selections of items where the order does not matter, while permutations are arrangements where the order does matter.

Front

How do you calculate combinations of n items taken r at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!] where n is the total number of items and r is the number of items to choose.

Front

What is an even number?

Back

An even number is an integer that is exactly divisible by 2.

Front

How many ways can the letters of a word be arranged if certain letters must stay together?

Back

Treat the group of letters that must stay together as a single unit, then calculate the arrangements of this unit along with the other letters.

Front

What is the average?

Back

The average is the sum of a set of values divided by the number of values in the set.

Front

Define the term 'vowel'.

Back

A vowel is a speech sound in many languages that is typically represented by the letters A, E, I, O, U.

Front

What is the significance of the median in a data set?

Back

The median is the middle value when a data set is ordered from least to greatest, and it represents the point that divides the data into two equal halves.