All Categories
Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If n is an odd integer, which of the following is always even?
If n is an odd integer, which of the following is always even?
Expand All
Collapse All
Practice Questions
1 question
Q1
If n is an odd integer, which of the following is always even?
n + 1
n - 1
2n
All of the above
Show Solution
Copy
Both n + 1 and n - 1 are even, and 2n is always even.
Questions & Step-by-step Solutions
1 item
Q
Q: If n is an odd integer, which of the following is always even?
Solution:
Both n + 1 and n - 1 are even, and 2n is always even.
Steps: 5
Show Steps
Step 1: Understand that an odd integer n can be represented as n = 2k + 1, where k is an integer.
Step 2: Calculate n + 1. If n = 2k + 1, then n + 1 = 2k + 1 + 1 = 2k + 2 = 2(k + 1), which is even.
Step 3: Calculate n - 1. If n = 2k + 1, then n - 1 = 2k + 1 - 1 = 2k = 2k, which is also even.
Step 4: Calculate 2n. If n = 2k + 1, then 2n = 2(2k + 1) = 4k + 2 = 2(2k + 1), which is even.
Step 5: Conclude that both n + 1, n - 1, and 2n are always even when n is an odd integer.
Related Questions
W
What is the sum of the first 5 positive integers?
Question: What is the sum of the first 5 positive integers?Options: 10152025Correct Answer: 15Soluti..
I
If 5x - 3 = 2x + 12, what is x?
Question: If 5x - 3 = 2x + 12, what is x?Options: 3456Correct Answer: 4Solution: 5x - 2x = 12 + 3, s..
W
What is the value of 2x if x = 4?
Question: What is the value of 2x if x = 4?Options: 46810Correct Answer: 8Solution: 2x = 2 * 4 = 8...
W
What is the remainder when 47 is divided by 6?
Question: What is the remainder when 47 is divided by 6?Options: 1234Correct Answer: 2Solution: 47 d..
W
Which of the following numbers is divisible by 3?
Question: Which of the following numbers is divisible by 3?Options: 14222731Correct Answer: 27Soluti..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
