Q.1
If $$\frac{{3a + 5b}}{{3a - 5b}} = 5,$$   then a : b is equal to?
Q.2
If $$x = p + \frac{1}{p}$$   and $$y = p - \frac{1}{p}$$   then the value of x4 - 2x2y2 + y4 = ?
Q.3
If a + b + c = 0, then the value of (a + b - c)2 + (b + c - a)2 + (c + a - b)2 is?
Q.4
If $$\sqrt {0.03 \times 0.3a} $$   = $${\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times \sqrt b {\text{,}}$$    value of $$\frac{a}{b}\,{\text{is?}}$$
Q.5
If x * y = (x + 3)2 (y - 1), then the value of 5 * 4 is?
Q.6
If x = 2015, y = 2014, z = 2013, then the value of x2 + y2 + z2 - xy - yz - zx is?
Q.7
If $$3{a^2} = {b^2} \ne 0{\text{,}}$$   then the value of $$\frac{{{{\left( {a + b} \right)}^3} - {{\left( {a - b} \right)}^3}}}{{{{\left( {a + b} \right)}^2} + {{\left( {a - b} \right)}^2}}}$$    is?
Q.8
The factors of (a2 + 4b2 + 4b - 4ab - 2a - 8) are?
Q.9
The value of $$\frac{1}{{{a^2} + ax + {x^2}}}$$   $$ - $$ $$\frac{1}{{{a^2} - ax + {x^2}}}$$   $$ + $$ $$\frac{1}{{{a^4} + {a^2}{x^2} + {x^4}}}$$    is?
Q.10
$${\text{If }}\sqrt {1 + \frac{x}{{961}}} = \frac{{32}}{{31}}{\text{,}}$$     then the value of x is?
Q.11
If $$\sqrt {0.04 \times 0.4 \times a} $$    = 0.004 × 0.4 × $$\sqrt b ,$$  then the value of $$\frac{a}{b}\,{\text{is?}}$$
Q.12
If x : y = 7 : 3 then the value of $$\frac{{xy + {y^2}}}{{{x^2} - {y^2}}}{\text{ is?}}$$
Q.13
If [p] means the greatest positive integer less than or equal to p, then $$\left[ { - \frac{1}{4}} \right] + \left[ {4 - \frac{1}{4}} \right] + \left[ 3 \right]$$     is equal to?
Q.14
The value of $$\frac{{4{x^3} - x}}{{\left( {2x + 1} \right)\left( {6x - 3} \right)}}$$    when x = 9999 is?
Q.15
If x = 11, then the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is?
Q.16
If x = 997, y = 998 and z = 999 then the value of x2 + y2 + z2 - xy - yz - zx is?
Q.17
If $$\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = 3,$$    then $$\frac{{2{a^2} + 3{c^2} + 4{e^2}}}{{2{b^2} + 3{d^2} + 4{f^2}}}$$    = ?
Q.18
The value of $$\frac{{{{\left( {243} \right)}^{\frac{n}{5}}}{{.3}^{2n + 1}}}}{{{9^n}{{.3}^{n - 1}}}}{\text{ is?}}$$
Q.19
If x = 0.5 and y = 0.2, then the value of $$\sqrt {0.6} \times {\left( {3y} \right)^x}$$   is equal to?
Q.20
If $$x + \frac{1}{x} = 3{\text{,}}$$   then the value of $$\frac{{3{x^2} - 4x + 3}}{{{x^2} - x + 1}}$$   is?
Q.21
If $$\frac{{2x - y}}{{x + 2y}} = \frac{1}{2}{\text{,}}$$   then value of $$\frac{{3x - y}}{{3x + y}}\,{\text{is?}}$$
Q.22
If $$x + \frac{1}{x} = 5{\text{,}}$$   then $$\frac{{2x}}{{3{x^2} - 5x + 3}}$$   is equal to?
Q.23
If $$x = a + \frac{1}{a}$$   and $$y = a - \frac{1}{a},$$ &nbsp then the value of x4 + y4 - 2x2y2 is?
Q.24
If p = 101, then the value of $$\root 3 \of {p\left( {{p^2} - 3p + 3} \right) - 1} $$     is?
Q.25
If $${x^{x\sqrt x }} = {\left( {x\sqrt x } \right)^x}{\text{,}}$$    then x equals to?
Q.26
$${\text{If }}\sqrt {1 - \frac{{{x^3}}}{{100}}} = \frac{3}{5}{\text{,}}$$     then x equals to?
Q.27
$${\text{If }}\,\sqrt {1 + \frac{x}{9}} = \frac{{13}}{3}{\text{,}}$$    then the value of x is?
Q.28
If 50% of (p - q) = 30% of (p + q), then p : q is equal to?
Q.29
If x : y = 2 : 1, then (5x2 - 13xy + 6y2) is equal to ?
Q.30
$${\text{If }}\frac{{4\sqrt 3 + 5\sqrt 2 }}{{\sqrt {48} + \sqrt {18} }} = a + b\sqrt 6 {\text{,}}$$       then the value of a and b are respectively?
0 h : 0 m : 1 s