Q.1
The value of $$\frac{{{2^{n - 1}} - {2^n}}}{{{2^{n + 4}} + {2^{n + 1}}}}{\text{is = ?}}$$
Q.2
If $$x = 5 + 2\sqrt 6 {\text{,}}$$    then $$\sqrt x - \frac{1}{{\sqrt x }}$$   = is?
Q.3
(0.04)2 ÷ (0.008) × (0.2)6 = (0.2)?
Q.4
The value of $$\frac{{{{\left( {243} \right)}^{0.13}} \times {{\left( {243} \right)}^{0.07}}}}{{{{\left( 7 \right)}^{0.25}} \times {{\left( {49} \right)}^{0.075}} \times {{\left( {343} \right)}^{0.2}}}}$$      is = ?
Q.5
If 3(x-y) = 27 and 3(x+y) = 243, then x is equal to = ?
Q.6
If ax = b, by = c and cz = a, then the value of xyz is = ?
Q.7
The simplification value of $$\left( {\sqrt 3 + 1} \right)$$  $$\left( {10 + \sqrt {12} } \right)$$  $$\left( {\sqrt {12} - 2} \right)$$  $$\left( {5 - \sqrt 3 } \right)$$  is = ?
Q.8
$$\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$
Q.9
If $$\frac{{4 + 3\sqrt 3 }}{{\sqrt {7 + 4\sqrt 3 } }} = A + \sqrt B {\text{,}}$$      then B - A is = ?
Q.10
Given that 100.48 = x, 100.70 = y and xz = y2 then the value of z is close to = ?
Q.11
$$\sqrt {6 - 4\sqrt 3 + \sqrt {16 - 8\sqrt 3 } } $$       is equal to = ?
Q.12
If N = $$\frac{{\sqrt {\sqrt 5 + 2} + \sqrt {\sqrt 5 - 2} }}{{\sqrt {\sqrt 5 + 1} }} - $$     $$\sqrt {3 - 2\sqrt 2 } {\text{,}}$$   then the value of N is = ?
Q.13
$$\left( {4 + \sqrt 7 } \right),$$   expressed as a perfect square, is equal to = ?
Q.14
If 3x+y = 81 and 81x-y = 3, then the value of $$\frac{x}{y}$$ is = ?
Q.15
$$\frac{{{2^{n + 4}} - 2 \times {2^n}}}{{2 \times {2^{\left( {n + 3} \right)}}}} + {2^{ - 3}}$$     is equal to = ?
Q.16
$$\frac{{256 \times 256 - 144 \times 144}}{{112}}$$     is equal to = ?
Q.17
$$\frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}} \,+ $$    $$\frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}} \,+ $$    $$\frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ?$$
Q.18
If m and n are whole numbers such that mn = 121, then the value of (m - 1)n+1 is = ?
Q.19
1 + (3 + 1)(32 + 1)(34 + 1)(38 + 1)(316 + 1)(332 + 1) is equal to =?
Q.20
If $$\frac{{\left( {x - \sqrt {24} } \right)\left( {\sqrt {75} + \sqrt {50} } \right)}}{{\sqrt {75} - \sqrt {50} }}$$      = 1 then the value of x is = ?
Q.21
$$\left( {\frac{{1 + \sqrt 2 }}{{\sqrt 5 + \sqrt 3 }} + \frac{{1 - \sqrt 2 }}{{\sqrt 5 - \sqrt 3 }}} \right)$$     simplifies to = ?
Q.22
$$\sqrt {3\sqrt {3\sqrt {3........} } } $$    is equal to = ?
Q.23
$${25^{2.7}} \times {5^{4.2}} \div {5^{5.4}} = {25^?}$$
Q.24
$${6^{1.2}} \times {36^?} \times {30^{2.4}} \times {25^{1.3}} = {30^5}$$
Q.25
The value of $${\left( {\sqrt 8 } \right)^{\frac{1}{3}}}$$  is = ?
Q.26
$$\left[ {\frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }} - \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}} \right]$$     simplifies to = ?
Q.27
if $${{\text{2}}^x} = \root 3 \of {32} $$   then x is equal to = ?
Q.28
$$\sqrt {12 + \sqrt {12 + \sqrt {12 + .....} } } $$      is equal to = ?
Q.29
$${\text{If 1}}{{\text{0}}^x}{\text{ = }}\frac{1}{2}{\text{ then 1}}{{\text{0}}^{ - 8x}} = ?$$
Q.30
$$\left( {\frac{1}{{1.4}} + \frac{1}{{4.7}} + \frac{1}{{7.10}} + \frac{1}{{10.13}} + \frac{1}{{13.16}}} \right)$$        is equal to = ?
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