Question 1 :
If $2^{m} + 2^{1 + m} = 24$, then what is value of $m$?
Question 2 :
If the equation $(a^{2} + b^{2})x^{2} - 2(ac + bd)x + (c^{2} + d^{2}) = 0$ has equal roots, then which one of the following is correct?<br>
Question 3 :
What is the area of the rectangle , whose length is $5\sqrt 3\ cm$ and breadth is $5\ cm$.
Question 4 :
Arrange the following in an ascending order.$\displaystyle 5.33..., 8.010010001..., 7.3175, 2+\sqrt{3}, \frac{9}{2}$.
Question 8 :
Number of integers lying between 1 to 102 which are divisible by all$\displaystyle \sqrt{2},\sqrt{3},\sqrt{6}$ is
Question 11 :
Given that $\sqrt{3}=1.732$, then the value of $\sqrt{75}+\frac{1}{2}\sqrt{48}-\sqrt{192}$ <br> $ \ = \ -1.732$.
Question 14 :
If one root of the equation $ax^{2} + x - 3 = 0$ is $-1$, then what is the other root?
Question 18 :
Express the following as a rational number i.e. in the form $\displaystyle \frac{a}{b};$ where a, $\displaystyle b\in I$ and $\displaystyle b\neq 0.$ <br> $\displaystyle0.03\overline{84}$.<br/><br/>
Question 19 :
State whether the following statements are true or false. Justify your answers.<br>Every real number need not be a rational number
Question 20 :
If one root of the equation $2x^{2} + 3x + c = 0$ is $0.5$, then what is the value of $c$?
Question 25 :
While converting a fraction with denominator as a power of $10$, we shift the decimal point to the left by number of times equal to the _______ in the denominator.
Question 29 :
If $\displaystyle d=\frac { 1 }{ { 2 }^{ 3 }\times { 5 }^{ 7 } } $ is expressed as a terminating decimal, how many non zero digits will d have?<br/>
Question 31 :
If $t = \dfrac{1}{1 - \sqrt[4]{2}}$, then $t$ is equal to ________.
Question 33 :
The product of $\sqrt [ 3 ]{ 2 } $ and $\sqrt { 2 } $ is:
Question 34 :
State whether the following statement is true (T) or false (F):<br>$2^3 \times 3^2 = 6^5$.<br><br>
Question 38 :
A computer is programmed to add $3$ to the number $N$, multiply the result by $3$, subtract $3$, and divide this result by $3$. The computer answer will be
Question 39 :
The conjugate of the binomial surd $\dfrac {1}{2}x + \dfrac {1}{2}\sqrt {y}$ is?
Question 40 :
If $\cfrac { \sqrt { 7 } -1 }{ \sqrt { 7 } +1 } -\cfrac { \sqrt { 7 } +1 }{ \sqrt { 7 } -1 } =a+b\sqrt { 7 } $, then find the values of $a$ and $b$
