Q.1
If $$a + \frac{1}{b}$$  = $$b + \frac{1}{c}$$  = $$c + \frac{1}{a}$$  (where a ≠ b ≠ c), then abc is equal to?
Q.2
If x, y, z are the three factors of a3 - 7a - 6, then value of x + y + z will be?
Q.3
If a + b + c = 0, then the value of a3 + b3 + c3 is?
Q.4
If a + b = 10 and ab = 21, then the value of (a - b)2 is?
Q.5
If $$2x + \frac{1}{{4x}} = 1{\text{,}}$$   then the value of $${x^2} + \frac{1}{{64{x^2}}}$$   is?
Q.6
If $$\sqrt x $$  - $$\sqrt y $$  = 1, $$\sqrt x $$  + $$\sqrt y $$  = 17, then $$\sqrt {xy} $$  = ?
Q.7
If $$x = \sqrt a + \frac{1}{{\sqrt a }}{\text{,}}$$    $$y = \sqrt a - \frac{1}{{\sqrt a }}{\text{,}}$$   $$\left( {a > 0} \right)$$   then the value of x4 + y4 - 2x2y2 is?
Q.8
If $$x = \root 3 \of {{x^2} + 11} - 2{\text{,}}$$    then the value of x3 + 5x2 + 12x is?
Q.9
If $${\text{2}}x - \frac{1}{{2x}} = 5{\text{,}}$$    $${\text{x}} \ne {\text{0,}}$$   then find the value of $${x^2} + \frac{1}{{16{x^2}}} - 2$$    = ?
Q.10
If $$x = \frac{1}{{\left( {\sqrt 2 + 1} \right)}}{\text{,}}$$    the value of x2 + 2x - 1 is?
Q.11
If $$\frac{a}{b} + \frac{b}{a} = 1{\text{,}}$$   then the value of a3 + b3 will be?
Q.12
If (x - 5)2 + (y - 2)2 + (z - 9)2 = 0, then the value of (x + y - z) is?
Q.13
If x = 999, y = 1000, z = 1001 then the value of $$\frac{{{x^3} + {y^3} + {z^3} - 3xyz}}{{x - y + z}}$$     is?
Q.14
If $$\sqrt 3 + \frac{1}{{\sqrt 3 }}{\text{,}}$$   then the value of $$\left( {x - \frac{{\sqrt {126} }}{{\sqrt {42} }}} \right)$$ $$\left( {x - \frac{1}{{x - \frac{{2\sqrt 3 }}{3}}}} \right)$$   is?
Q.15
If $$\frac{{2 + a}}{a}$$  + $$\frac{{2 + b}}{b}$$  + $$\frac{{2 + c}}{c}$$  = 4, then the value of $$\frac{{ab + bc + ca}}{{abc}}$$   is?
Q.16
If a3 = 117 + b3 and a = 3 + b, then the value of a + b is?
Q.17
If $${x^2} + \frac{1}{{{x^2}}} = 98{\text{,}}$$   $$\left( {x > 0} \right){\text{,}}$$   then the value of $$x^3 + \frac{1}{{{x^3}}}$$  is?
Q.18
If $${p^2} + \frac{1}{{{p^2}}} = 47{\text{,}}$$    then the value of $$p + \frac{1}{p}$$  is?
Q.19
If $$x + \frac{1}{x} = \sqrt {13} {\text{,}}$$    then $$\frac{{3x}}{{\left( {{x^2} - 1} \right)}}$$   equal to?
Q.20
If p = 99, then the value of p(p2 + 3p + 3) will be?
Q.21
If a - b = 1 and a3 - b3 = 61, then the value of ab will be?
Q.22
If $${x^2} + 5x + 6 = 0{\text{,}}$$    then the value of $$\frac{{2x}}{{{x^2} - 7x + 6}}$$   is?
Q.23
If $$\frac{a}{{1 - 2a}}$$  $$+$$ $$\frac{b}{{1 - 2b}}$$  $$+$$ $$\frac{c}{{1 - 2c}}$$  = $$\frac{1}{2}{\text{,}}$$  then the value of $$\frac{1}{{1 - 2a}}$$  $$+$$ $$\frac{1}{{1 - 2b}}$$  $$+$$ $$\frac{1}{{1 - 2c}}$$  is?
Q.24
If x = y + z then x3 - y3 - z3 is?
Q.25
If a + b + c + d = 4, then the value of $$\frac{1}{{\left( {1 - a} \right)\left( {1 - b} \right)\left( {1 - c} \right)}}$$     + $$\frac{1}{{\left( {1 - b} \right)\left( {1 - c} \right)\left( {1 - d} \right)}}$$     + $$\frac{1}{{\left( {1 - c} \right)\left( {1 - d} \right)\left( {1 - a} \right)}}$$     + $$\frac{1}{{\left( {1 - d} \right)\left( {1 - a} \right)\left( {1 - b} \right)}}$$     is?
Q.26
If x - 11, then the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is?
Q.27
If a + b = 5 and a - b = 3, then the value of (a2 + b2) is?
0 h : 0 m : 1 s