Q.1
If $$\frac{a}{{q - r}}$$  = $$\frac{b}{{r - p}}$$  = $$\frac{c}{{p - q}}{\text{,}}$$   find the value of pa + qb + rc is?
Q.2
If $${\left( {a + \frac{1}{a}} \right)^2} = 3{\text{,}}$$    the value of $${a^3} + \frac{1}{{{a^3}}}$$   = ?
Q.3
If $$x = {3^{\frac{1}{3}}} - {3^{ - \frac{1}{3}}}$$   value of $$3{x^3} + 9x$$   is?
Q.4
If xy(x + y) = m, then the value of x3 + y3 + 3m is?
Q.5
If (x - 4)(x2 + 4x + 16) = x3 - p, then p is equal to?
Q.6
If $$4x + \frac{1}{x} = 5,$$   $$x \ne 0{\text{,}}$$   then the value of $$\frac{{5x}}{{4{x^2} + 10x + 1}}$$    is?
Q.7
The third proportional of the following numbers (x - y)2, (x2 - y2) = ?
Q.8
If $$x + \sqrt 5 = 5 + \sqrt y $$     and x, y are positive integers, then the value of $$\frac{{\sqrt x + y}}{{x + \sqrt y }}$$   is?
Q.9
If pq(p + q) = 1, then the value of $$\frac{1}{{{p^3}{q^3}}}$$  - $${p^3}$$ - $${q^3}{\text{,}}$$  is equal to?
Q.10
If p3 - q3 = (p - q){(p + q)2 - xpq}, then the value of x is?
Q.11
If p3 - q3 = (p - q){(p -q)2 + xpq}, then the value of x is?
Q.12
If the sum of square of two real numbers is 41, and their sum is 9. Then the sum of cubes of these two numbers is ?
Q.13
A complete factorisation of x4 + 64 is?
Q.14
Given a - b = 2, a3 - b3 = 26, then (a + b)2 is?
Q.15
If x + y + z = 9, then the value of (x - 4)3 + (y - 2)3 + (z - 3)3 - 3(x - 4)(y - 2)(z - 3) is?
Q.16
If $$x + \frac{1}{{9x}} = 4{\text{,}}$$   then $${\text{9}}{x^2} + \frac{1}{{9{x^2}}}$$   is?
Q.17
If $$\frac{{{a^2} + {b^2}}}{{{c^2}}}$$  = $$\frac{{{b^2} + {c^2}}}{{{a^2}}}$$  = $$\frac{{{c^2} + {a^2}}}{{{b^2}}}$$  = $$\frac{1}{k}{\text{,}}$$ $$\left( {k \ne 0} \right)$$   then k = ?
Q.18
$$p + \frac{1}{{p + 2}} = 1{\text{,}}$$   Find the value of $${\left( {p + 2} \right)^3}$$  $$+$$ $$\frac{1}{{{{\left( {p + 2} \right)}^3}}}$$  $$-$$ 3 = ?
Q.19
If $$c + \frac{1}{c} = \sqrt 3 {\text{,}}$$   then the value of $${c^3} + \frac{1}{{{c^3}}}$$   is equal to?
Q.20
If x = 222, y = 223, z = 225, then the value of x3 + y3 + z3 - 3xyz is?
Q.21
If x, y and z are real numbers such that (x - 3)2 + (y - 4)2 + (z - 5)2 = 0, then (x + y + z) is equal to?
Q.22
If $$2x + \frac{1}{{3x}} = 5{\text{,}}$$   then the value of $$\frac{{5x}}{{6{x^2} + 20x + 1}}$$   is?
Q.23
If $$x = {\left( {0.25} \right)^{\frac{1}{2}}},$$   $$y = {\left( {0.4} \right)^2},$$   $$z = {\left( {0.216} \right)^{\frac{1}{2}}}$$   then-
Q.24
If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2) is?
Q.25
Ratio of three numbers x, y, z are in 2, 3, 5 respectively and the sum of x, y, z is 80. If the number z is given by the equation z = ax - 8, then a is ?
Q.26
If (x - 2)(x - p) = x2 - ax + 6, then the value of (a - p) is?
Q.27
If $$x = a + \frac{1}{a}$$   and $$y = a - \frac{1}{a},$$   then the value of x4 + y4 - 2x2y2 is?
Q.28
If $$x + \frac{1}{x} = \sqrt 3 {\text{,}}$$   then find the value of $${x^3} + \frac{1}{{{x^3}}}$$   = ?
Q.29
If $$x + \frac{1}{x} = 5{\text{,}}$$   then the value of $$\frac{{5x}}{{{x^2} + 5x + 1}}$$   is?
Q.30
If $$\frac{1}{a}\left( {{a^2} + 1} \right) = 3{\text{,}}$$    then the value of $$\frac{{{a^6} + 1}}{{{a^3}}}$$   = ?
0 h : 0 m : 1 s