Tag: odd and even numbers

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Questions Related to odd and even numbers

Multiple choice maths negative numbers and integers odd and even numbers operations on integers different types of numbers

If you add two even numbers together, the answer is

  1. 0

  2. Always even

  3. Sometimes even

  4. Sometimes odd
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If we add two even numbers the answer is always even.

Let $2a$ and $2b$ be two even numbers as both are divisible by $2$
Sum $=2a+2b$
Sum $=2(a+b)$
which is also divisible by $2$ . So the sum is even.
So option $B$ is correct.

Multiple choice maths negative numbers and integers odd and even numbers operations on integers different types of numbers

If m, n, o, p and q are integers then $m(n + o) (p - q)$ must be even then which of the following is even?

  1. $m + n$
  2. $n + p$

  3. m

  4. p
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$ Given\quad that\quad m,n,o,p\quad and\quad q\quad are\quad integers.\ \therefore \quad (n+o)\quad is\quad an\quad integer\ \quad \quad (p-q)\quad is\quad an\quad integer\ \therefore \quad m(n+o)(p-q)\quad is\quad a\quad product\quad of\quad 3\quad integers.\ The\quad product\quad to\quad be\quad even\quad one\quad of\quad the\quad factors\quad to\quad be\quad even.\ either\quad m\quad be\quad even\longrightarrow option\quad C\ or\quad (n+o)\quad be\quad even\longrightarrow no\quad option\ or\quad (p-q)\quad be\quad even\longrightarrow no\quad option.\ \therefore \quad option\quad C\quad is\quad the\quad answer. $

Multiple choice maths negative numbers and integers odd and even numbers operations on integers different types of numbers

Pick odd ineger:
$3, -4, -3, 5$

  1. $-4, 5$
  2. $-4,-3$
  3. $3, -3, 5$
  4. $-4$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
An odd number is an integer which is not divisible by two. If it is divided by two, then the result is a fraction. The set of odd integers is $-5,-3,-1,1,3,5,7,.....$

Hence, the odd integers are $3,-3,5$, whereas $-4$ is not an odd integer because it is divisible by $2$.
Multiple choice maths negative numbers and integers odd and even numbers operations on integers different types of numbers

Write two odd integers lesser than $1$.

  1. $1,3$
  2. $-1,-3$
  3. $-3,5$
  4. $0,1$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation
An odd number is an integer which is not divisible by two. If it is divided by two, then the result is a fraction. The set of odd integers is $-5,-3,-1,1,3,5,7,.....$

The following set of integers is lesser than $1$:

$.....-5,-3,-1,1$

Hence, two of the odd integers lesser than $1$ are $-1,-3$.
Multiple choice maths negative numbers and integers odd and even numbers operations on integers different types of numbers

If k is a positive integer, then $k(k+1)(k+3)$ is

  1. even only when k is even

  2. even only when k is odd

  3. Always odd

  4. Always even
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Suppose $k$ is even

Then $k(k+1)(k+3)$ is even as $k$ will be divisible by $2$
Now if $k$ is odd.
Then $(k+1)$ and $(k+3)$ are even
$\Rightarrow k(k+1)(k+3)$ is also even.
So $k(k+1)(k+3)$ is always even.
So option $D$ is correct.

Multiple choice maths negative numbers and integers odd and even numbers operations on integers different types of numbers

Write $2$ even integers greater than  $-4$

  1. $-2,-6$
  2. $-6,-8$
  3. $6,8$
  4. $-3,2$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
An even number is an integer which is "evenly divisible" by two. This means that if the integer is divided by $2$, it yields no remainder. The set of even integers is $-6,-4,-2,2,4,6,8,.....$

The following set of integers is greater than $-4$:

$-2,2,4,6,8,.....$

Hence, two of the even integers greater than $-4$ are $6,8$.