Question 3 :
Match the following.<br>If a, b, c, are whole numbers, then<table class="wysiwyg-table"><tbody><tr><td></td><td>Column-I</td><td></td><td>Column-II</td></tr><tr><td>(i)</td><td>a + b = b + a</td><td>(a)</td><td>Distributivity of multiplication</td></tr><tr><td>(ii)</td><td>(a + b) + c = a + (b + c)</td><td>(b)</td><td>Commutativity under addition</td></tr><tr><td>(iii)</td><td>a x (b + c) = a x b + a x c</td><td>(c)</td><td>Associativity of addition</td></tr><tr><td></td><td></td><td>(d)</td><td>Commutativity under multiplication</td></tr></tbody></table>

Question 4 :
If x and y are two co-primes, then their LCM is?

Question 5 :
The L.C.M. of $54, 90$ and a third number is $1890$ and their H.C.F. is $18.$ What is the third number?

Question 6 :
If H.C.F of two numbers is $ 15 $ and their product is $ 1575 $ , then L.C.M is

Question 8 :
Which of the following can be drawn on a piece of paper?

Question 9 :
Prove that the equation $\displaystyle x^{2}+\left ( x+1 \right )^{2}=y^{2}$ has infinitely many solutions in positive integers.

Question 10 :
Sum of two integers is $+62$. If one of the integer is $-48$, then the other is

Question 11 :
In triangle $ABC,$ if $\dfrac { 1 }{ a+c } +\dfrac { 1 }{ b+c } =\dfrac { 3 }{ a+b+c } ,$ then $\angle c$&#160; is equal to:

Question 12 :
What is the angle subtended by an edge of a regular tetrahedron at its centre?<br>

Question 13 :
In an isosceles triangle $A B C , A B = A C = 25 \mathrm { cm }$ and $B C = 14$ cm The measure of an altitude from $A$ on BC in $cm$ is

Question 14 :
Numerator in the fraction$\displaystyle \frac { 2 }{ 8 }$ is

Question 15 :
$\displaystyle \left ( \frac{1}{1\times 4}+\frac{1}{4\times 7}+\frac{1}{7\times 10}+\frac{1}{10\times 13}+\frac{1}{13\times 16} \right )$ is equal to

Question 16 :
If $1.8 - 6.3x = -0.3x$, then find the value of $x$ is<br/>

Question 18 :
How many less letters were collected on Wednesday than on Tuesday?<br>

Question 19 :
A symbol &#34;$&#34;is used to represent 10 flowers. Number of symbols &#34;$&#34;to be drawn to show $60$ flowers is<br/>

Question 20 :
In $\triangle ABC$ points $P$ and $Q$ trisect side $AB$ points $T$ and $U$ trisect side $AC$ and points $R$ and $S$ trisect side $BC$. Then perimeter of hexagon $PQRSTU$ is how many times of the perimeter of $\triangle ABC$?

Question 21 :
The length and breadth of a rectangular plot are 900 m and 700 m respectively If three rands of fence is fixed around the field at the cost of Rs.8 per meter the total amount spend is<br>

Question 22 :
If the diagonal of a square is $12\sqrt{2}$ cm, then the perimeter of square is ____

Question 23 :
Find perimeter of a square if its diagonal is $16\sqrt {2}\ cm$.

Question 25 :
Some situations are given below. State true or false:<br/>The temperature of a day is variable.

Question 26 :
If ${x}^{3}+m{x}^{2}+nx+6$ has $(x-2)$ as factor and leaves a remainder $3$ when divided by $(x-3)$ find the values of $m,\,n$

Question 27 :
Ratio of two numbers is 2 : 3 and their LCM is 36. Find the two numbers.

Question 29 :
If three numbers in the ratio $3:2:5$ be such that the sum of their squares is $1862$, the middle number will be

Question 30 :
Rs. $3200$ is divided among $A, B$ and $C$ in the ratio of $3:5:8$ respectively. What is the difference (in Rs.) between the share of $B$ and $C$?