Question 2 :
By splitting into prime factors, find the square root of $729$
Question 3 :
Which one of the following perfect square numbers, is the square of an even number ?$121, 625, 169, 1296$
Question 5 :
State whether the statements are true (T) or false (F).<br>For every natural number $m, (2m - 1, 2m^2 - 2m, 2m^2 - 2m^2 + 1)$ is a Pythagorean triplet.
Question 7 :
The condition that $x^4 + ax^3 + bx^2 + cx + d$ is a perfect square, is:
Question 10 :
If $a+b+c=6$ and $ ab+bc+ca = 11 $<br/>Find $\left( { a }^{ 2 }+{ b }^{ 2 }+{ c }^{ 2 } \right)$ ?<br/>
Question 11 :
The number whose cube and cube root both are equal is ..............
Question 13 :
What is the approximate value of the cube root of the number $12?$<br/>
Question 15 :
State whether true or false:<br/>If $x^3 = 11$, then $x=\sqrt[3] {11}$
Question 17 :
What is the approximate value of the cube root of the number $9?$<br/>
Question 18 :
In the five digit number $1b6a3$, a is the greatest single digit perfect cube and twice of it exceeds by $7$. Then the sum of the number and its cube root is __________.
Question 20 :
Find the value of cube root of the number $45$. (Round off your number to the nearest whole number)<br/>
Question 22 :
Solve for $x$:-<br/>$\dfrac{{2x - 1}}{2}\,\,\, - \dfrac{{x + 3}}{3}\,\, = \dfrac{{x - 2}}{5}$
Question 23 :
If $\sqrt { 1+\dfrac { x }{ 289 } } =1\dfrac { 1 }{ 17 }$ then $x=$
Question 27 :
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, $10$ men leave the bus and five women enter. Now, number of men and women is equal. How many passengers entered the bus in the beginning?
Question 28 :
A number when added to its half gives $36$. Find the number.<br/>
Question 29 :
$Rs.\,3900.00$ has been distributed among the students (girls/boys) in a class in such a way that the girl student should get $Rs.\,80.00$ and boy should get $Rs.\,30.00$. The number of girl students in the class will be
Question 33 :
If the exponent of a negative integer is odd, then the result is a .......... integer.
Question 38 :
Compare the size of a pen tip which is $0.000005$ m to that of the width of pen which is $ 0.0000249$ m.
Question 40 :
If $5^{k^2}(25^{2k})(625) = 25\sqrt{5}$ and $k < -1$, find the value of $k$.
