- Trending Categories
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
The sum of two prime numbers $(>2)$ is
(A) odd (B) even (C) prime (D) even or odd
Sum of two prime numbers:
All the prime numbers except 2 are odd numbers.
The sum of two odd numbers is an even number.
Therefore, the sum of two prime numbers $(>2)$ is an even number.
So, option (B) is correct.
- Related Articles
- What is the sum of two odd numbers?A) Even B) Odd C) Both A and B D) None of the above
- What is the sum of any two (a) Odd numbers?(b) Even numbers?
- If a and b are two odd positive integers such that a $>$ b, then prove that one of the two numbers $\frac{a\ +\ b}{2}$ and $\frac{a\ -\ b}{2}$ is odd and the other is even.
- What is the HCF of two consecutive(a) numbers? (b) even numbers? (c) odd numbers?
- State whether the following statements are True or False:(a) The sum of three odd numbers is even.(b) The sum of two odd numbers and one even number is even.(c) The product of three odd numbers is odd.(d) If an even number is divided by 2, the quotient is always odd.(e) All prime numbers are odd.(f) Prime numbers do not have any factors.(g) Sum of two prime numbers is always even.(h) 2 is the only even prime number.(i) All even numbers are composite numbers.(j) The product of two even numbers is always even.
- In \( \triangle A B C, \angle A \) is obtuse, \( P B \perp A C, \) and \( Q C \perp A B \). Prove that \( B C^{2}=\left(A C \times C P +A B \times B Q\right) \).
- Solve the following pairs of linear equations: (i) \( p x+q y=p-q \)$q x-p y=p+q$(ii) \( a x+b y=c \)$b x+a y=1+c$,b>(iii) \( \frac{x}{a}-\frac{y}{b}=0 \)$a x+b y=a^{2}+b^{2}$(iv) \( (a-b) x+(a+b) y=a^{2}-2 a b-b^{2} \)$(a+b)(x+y)=a^{2}+b^{2}$(v) \( 152 x-378 y=-74 \)$-378 x+152 y=-604$.
- The area of a triangle with vertices \( (a, b+c),(b, c+a) \) and \( (c, a+b) \) is(A) \( (a+b+c)^{2} \)(B) 0(C) \( a+b+c \)(D) \( a b c \)
- If \( a+b=5 \) and \( a b=2 \), find the value of(a) \( (a+b)^{2} \)(b) \( a^{2}+b^{2} \)(c) \( (a-b)^{2} \)
- Factorize:$(a – b + c)^2 + (b – c + a)^2 + 2(a – b + c) (b – c + a)$
- Given that $sin\ \theta = \frac{a}{b}$, then $cos\ \theta$ is equal to(A) \( \frac{b}{\sqrt{b^{2}-a^{2}}} \)(B) \( \frac{b}{a} \)(C) \( \frac{\sqrt{b^{2}-a^{2}}}{b} \)(D) \( \frac{a}{\sqrt{b^{2}-a^{2}}} \)
- Show that:\( \left[\left\{\frac{x^{a(a-b)}}{x^{a(a+b)}}\right\} \p\left\{\frac{x^{b(b-a)}}{x^{b(b+a)}}\right\}\right]^{a+b}=1 \)
- If the point $P( x,\ y)$ is equidistant from the points $A( a\ +\ b,\ b\ –\ a)$ and $B( a\ –\ b,\ a\ +\ b)$. Prove that $bx=ay$.
- If \( a+b=5 \) and \( a b=2 \), find the value of(a) \( (a+b)^{2} \)(b) \( a^{2}+b^{2} \)
- Simplify:$(a + b + c)^2 + (a - b + c)^2 + (a + b - c)^2$
Advertisements