Question
What is the remainder when (q¹⁹ + 1) is divided by (q +
1)?Solution
ATQ;
We know that (aᵐ + bᵐ) is divisible by (a + b) when m is an odd positive number.
Here, m = 19, therefore (q¹⁹ + 1) is divisible by (q + 1).
Therefore, the required remainder will be 0.
More Reasoning Miscellaneous Questions
In the following question select the answer pair that expresses a relationship most similar to that expressed in the capitalised pair.
Loss of appetite
Fill in the blanks with the appropriate antonym of the word in Italic from the options given:
His optimistic outlook was replaced by _______ ...
- Select the most appropriate ANTONYM of the given word.
Eager Internecine
The poor man’s son is working very hardly.
The Girls said, “Hurrah! we have won the battle”.
The original chapel was built in the ________ of Charles
14. Malevolent
...Embittered
