Q.1
(0.04)2 ÷ (0.008) × (0.2)6 = (0.2)?
Q.2
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.3
If 3(x-y) = 27 and 3(x+y) = 243, then x is equal to = ?
Q.4
If ax = b, by = c and cz = a, then the value of xyz is = ?
Q.5
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.6
$$\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$
Q.7
If $$\frac{{4 + 3\sqrt 3 }}{{\sqrt {7 + 4\sqrt 3 } }} = A + \sqrt B {\text{,}}$$      then B - A is = ?
Q.8
Given that 100.48 = x, 100.70 = y and xz = y2 then the value of z is close to = ?
Q.9
$$\sqrt {6 - 4\sqrt 3 + \sqrt {16 - 8\sqrt 3 } } $$       is equal to = ?
Q.10
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.11
$$\left( {4 + \sqrt 7 } \right),$$   expressed as a perfect square, is equal to = ?
Q.12
If 3x+y = 81 and 81x-y = 3, then the value of $$\frac{x}{y}$$ is = ?
Q.13
$$\frac{{{2^{n + 4}} - 2 \times {2^n}}}{{2 \times {2^{\left( {n + 3} \right)}}}} + {2^{ - 3}}$$     is equal to = ?
Q.14
$$\frac{{256 \times 256 - 144 \times 144}}{{112}}$$     is equal to = ?
Q.15
$$\frac{1}{{1 + {x^{\left( {b - a} \right)}} + {x^{\left( {c - a} \right)}}}} \,+ $$    $$\frac{1}{{1 + {x^{\left( {a - b} \right)}} + {x^{\left( {c - b} \right)}}}} \,+ $$    $$\frac{1}{{1 + {x^{\left( {b - c} \right)}} + {x^{\left( {a - c} \right)}}}} = ?$$
Q.16
If m and n are whole numbers such that mn = 121, then the value of (m - 1)n+1 is = ?
Q.17
1 + (3 + 1)(32 + 1)(34 + 1)(38 + 1)(316 + 1)(332 + 1) is equal to =?
Q.18
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.19
$$\left( {\frac{{1 + \sqrt 2 }}{{\sqrt 5 + \sqrt 3 }} + \frac{{1 - \sqrt 2 }}{{\sqrt 5 - \sqrt 3 }}} \right)$$     simplifies to = ?
Q.20
$$\sqrt {3\sqrt {3\sqrt {3........} } } $$    is equal to = ?
Q.21
$${25^{2.7}} \times {5^{4.2}} \div {5^{5.4}} = {25^?}$$
Q.22
$${6^{1.2}} \times {36^?} \times {30^{2.4}} \times {25^{1.3}} = {30^5}$$
Q.23
The value of $${\left( {\sqrt 8 } \right)^{\frac{1}{3}}}$$  is = ?
Q.24
$$\left[ {\frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }} - \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}} \right]$$     simplifies to = ?
Q.25
if $${{\text{2}}^x} = \root 3 \of {32} $$   then x is equal to = ?
Q.26
$$\sqrt {12 + \sqrt {12 + \sqrt {12 + .....} } } $$      is equal to = ?
Q.27
$${\text{If 1}}{{\text{0}}^x}{\text{ = }}\frac{1}{2}{\text{ then 1}}{{\text{0}}^{ - 8x}} = ?$$
Q.28
$$\left( {\frac{1}{{1.4}} + \frac{1}{{4.7}} + \frac{1}{{7.10}} + \frac{1}{{10.13}} + \frac{1}{{13.16}}} \right)$$        is equal to = ?
Q.29
$$\left[ {\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - \left( {0.73} \right) \times \left( {0.27} \right)}}} \right]$$       simplifies to ?
Q.30
If $$x = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$   and $$y = \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 + \sqrt 3 }}$$   then $$\left( {x + y} \right)$$  equals ?
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