Q.1
If $$\frac{a}{3} = \frac{b}{2}{\text{,}}$$   then the value of $$\frac{{2a + 3b}}{{3a - 2b}}\,{\text{is?}}$$
Q.2
If $$x = \frac{{\sqrt 3 }}{2}{\text{,}}$$   then the value of $$\left( {\frac{{\sqrt {1 + x} + \sqrt {1 - x} }}{{\sqrt {1 + x} - \sqrt {1 - x} }}} \right)\,{\text{is}} = ?$$
Q.3
If $${4^{4x + 1}} = \frac{1}{{64}}{\text{,}}$$   then the value of x is?
Q.4
If $${\left( {\sqrt 5 } \right)^7} \div {\left( {\sqrt 5 } \right)^5} = {{\text{5}}^{\text{P}}}{\text{,}}$$     then the value of P is?
Q.5
If $$n + \frac{2}{3}n + \frac{1}{2}n + \frac{1}{7}n = 97{\text{,}}$$      then the value of n is?
Q.6
If $$x = 3 + \sqrt 8 {\text{,}}$$   then $${x^2} + \frac{1}{{{x^2}}}$$   is equal to?
Q.7
If $$x = 5 + 2\sqrt 6 {\text{,}}$$    then the value of $$\left( {\sqrt x + \frac{1}{{\sqrt x }}} \right)\,{\text{is?}}$$
Q.8
If 1.5a = 0.04b then $$\frac{{b - a}}{{b + a}}$$   is equal to?
Q.9
If $$\frac{{{x^2} - x + 1}}{{{x^2} + x + 1}} = \frac{3}{2}{\text{,}}$$    then the value of $$\left( {x + \frac{1}{x}} \right){\text{is?}}$$
Q.10
If $$\frac{{\sqrt 7 - 2}}{{\sqrt 7 + 2}} = a\sqrt 7 + b{\text{,}}$$     then the value of a is?
Q.11
If $$a + \frac{1}{b} = 1$$   and $$b + \frac{1}{c} = 1$$   then $$c + \frac{1}{a}$$  is equal to?
Q.12
If $$x - \frac{1}{x} = 4{\text{,}}$$   then $$\left( {x + \frac{1}{x}} \right)$$   is equal to?
Q.13
If $$4{b^2} + \frac{1}{{{b^2}}} = 2,$$    then the value of $$8{b^3} + \frac{1}{{{b^3}}}{\text{ is?}}$$
Q.14
If x, y are two positive real number and $${x^{\frac{1}{3}}} = {y^{\frac{1}{4}}},$$   then which of the following relations is true?
Q.15
If $$x = \frac{{\sqrt 3 }}{2}{\text{,}}$$   then $$\frac{{\sqrt {1 + x} }}{{1 + \sqrt {1 + x} }}{\text{ + }}$$   $$\frac{{\sqrt {1 - x} }}{{1 - \sqrt {1 - x} }}$$   is equal to?
Q.16
If $$x + \frac{9}{x} = 6{\text{,}}$$   then $$\left( {{x^2} + \frac{9}{{{x^2}}}} \right)$$   is equal to?
Q.17
If x = y = z, then $$\frac{{{{\left( {x + y + z} \right)}^2}}}{{{x^2} + {y^2} + {z^2}}}$$ &nbsp is?
Q.18
If $$x + \frac{1}{x} = 3{\text{,}}$$   then the value of $$\frac{{{x^3} + \frac{1}{x}}}{{{x^2} - x + 1}}\,{\text{is?}}$$
Q.19
If a = 7, b = 5 and c = 3, then the value of a2 + b2 + c2 - ab - bc - ca is?
Q.20
If $${{\text{7}}^x}{\text{ = }}\frac{1}{{343}}{\text{,}}$$   then the value of x is?
Q.21
If x + y = 7, then the value of x3 + y3 + 21xy is?
Q.22
If ⊗ is an operation such that a ⊗ b = 2a when a > b, a + b when a < b, a2 when a = b, then $$\left[ {\frac{{\left( {5 \otimes 7} \right) + \left( {4 \otimes 4} \right)}}{{3\left( {5 \otimes 5} \right) - \left( {15 \otimes 11} \right) - 3}}} \right]$$     is equal to?
Q.23
$${\text{If }}{\left( {\frac{3}{5}} \right)^3} \times {\left( {\frac{3}{5}} \right)^{ - 6}} = $$    $${\left( {\frac{3}{5}} \right)^{2x - 1}}{\text{,}}$$   then x is equal to?
Q.24
$$\frac{{\sqrt {3 + x} + \sqrt {3 - x} }}{{\sqrt {3 + x} - \sqrt {3 - x} }} = 2{\text{,}}$$     then x is equal to?
Q.25
If for non-zero, x, x2 - 4x - 1 = 0, the value of $${x^2} + \frac{1}{{{x^2}}}$$   is?
Q.26
$$\left( {x + \frac{1}{x}} \right)$$ $$\left( {x - \frac{1}{x}} \right)$$ $$\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)$$  $$\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)$$   is equal to?
Q.27
If a = 4.36, b = 2.39 and c = 1.97, then the value of a3 - b3 - c3 - 3abc is?
Q.28
If $$a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$   & $$b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}{\text{,}}$$    then the value of $$\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}{\text{ is?}}$$
Q.29
a + b + c = 0, then the value of $$\frac{{{a^2} + {b^2} + {c^2}}}{{ab + bc + ca}}$$   is?
Q.30
If a + b + c = m and $$\frac{1}{a}$$ + $$\frac{1}{b}$$ + $$\frac{1}{c}{\text{,}}$$ then average of a2, b2, c2 is?
0 h : 0 m : 1 s