1 Marks Question

Question 11 Mark

What is the HCF of the smallest prime number and the smallest composite number?

Answer

The smallest prime number is 2 .
And the smallest composite number is 4 .
Factors of $2=1 \times 2$\
(4=1 \times 2 \times 2 \text {. }
$
So the HCF of the smallest prime number and the smallest composite number is 2 .

View full question & answer→

Question 21 Mark

The $\text{HCF}$ of two numbers is $27$ and their $\text{LCM}$ is $162$ , if one of the number is $54$ , find the other number.

Answer

$\operatorname{HCF}(54, b)=27$ and $\operatorname{LCM}(54, b)=162$
According to the formula,$\operatorname{LCM}(a, b) \times \operatorname{HCF}(a, b)=a \times b$
$\Rightarrow 27 \times 162=54 \times b$
$\Rightarrow b=\frac{27 \times 162}{54}$
$\Rightarrow b=\frac{162}{2}$
$\Rightarrow b=81$
So, the other number is $81 .$

View full question & answer→

Question 31 Mark

Write the number of zeroes in the end of a number whose prime factorization is $2^2 \times 5^3 \times 3^2 \times 17$.

Answer

$\begin{aligned} \Rightarrow & 2^2 \times 5^3 \times 3^2 \times 17 \\ & =2 \times 2 \times 5 \times 5 \times 5 \times 3 \times 3 \times 17 \\ & =10 \times 10 \times 15 \times 51=76500\end{aligned}$

View full question & answer→

Question 41 Mark

Find a rational number between $\sqrt{2}$ and $\sqrt{7}$

Answer

$\because \sqrt{2}=1.414$ and $\sqrt{7}=2.645$
$\therefore$ Rational number between $\sqrt{2}$ and $\sqrt{7}=2$

View full question & answer→

Maths 1 Marks Question

Test yourself on this topic