a^n - b^n is divisible by a - b, and a^n + b^n by a + b when n is odd
This type of question, asked 7 times: CDS 2 2016, CDS 2 2019, CDS 1 2021, CDS 1 2022, CDS 1 2023, CDS 2 2024, CDS 2 2025. All 10 questions below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
97What is the remainder when is divided by 29 ?Tap an option to check your answer.
Question 2
CDS 2 2019
50The expression has a factorTap an option to check your answer.
Question 3
CDS 2 2019
1What is the remainder when is divided by 18 ?Tap an option to check your answer.
Question 4
CDS 1 2021
44If is any natural number, then is always divisible by how many natural numbers?Tap an option to check your answer.
Question 5
CDS 1 2021
6What is the remainder when is divided by 6?Tap an option to check your answer.
Question 6
CDS 1 2022
2is divisible byTap an option to check your answer.
Question 7
CDS 1 2023
32The number is divisible by :Tap an option to check your answer.
Question 8
CDS 2 2024
64A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : Is divisible by 500 ? Statement-I : is odd natural number Statement-II : is a positive integer Which one of the following is correct in respect of the above Question and the Statements ?Tap an option to check your answer.
Question 9
CDS 2 2024
76Consider the following statements : I. 61 divides II. 100 divides Which of the statements given above is/are correct ?Tap an option to check your answer.
Question 10
CDS 2 2025
11What is the remainder when is divided by 18?Tap an option to check your answer.