Q.1
If $$p \times q = p + q + \frac{p}{q}{\text{,}}$$    then the value of 8 × 2 is?
Q.2
If t2 - 4t + 1 = 0, then the value of $${t^3} + \frac{1}{{{t^3}}}$$  is?
Q.3
If $$\root 3 \of a + \root 3 \of b + \root 3 \of c {\text{,}}$$    then the simplest value of $${\left( {a + b - c} \right)^3}$$   + $$27abc$$   is?
Q.4
If a2 - 4a - 1 = 0 then value of $${a^2} + \frac{1}{{{a^2}}} + 3a - \frac{3}{a}$$    is?
Q.5
If $$\frac{a}{b} = \frac{7}{9},{\text{ }}\frac{b}{c} = \frac{3}{5}{\text{,}}$$    then the value of a : b : c is?
Q.6
If a ⊕ b = (a × b) + b, then 5 ⊕ 7 equals to?
Q.7
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to?
Q.8
If $${\text{A}}:{\text{B}} = \frac{1}{2}:\frac{3}{8}{\text{,}}$$    $${\text{B}}:{\text{C}} = \frac{1}{3}:\frac{5}{9}$$   and $${\text{C}}:{\text{D}} = \frac{5}{6}:\frac{3}{4}{\text{,}}$$     then find the ratio of A : B : C : D = ?
Q.9
If A : B : C = 2 : 3 : 4, then $$\frac{{\text{A}}}{{\text{B}}}{\text{:}}\frac{{\text{B}}}{{\text{C}}}{\text{:}}\frac{{\text{C}}}{{\text{A}}}$$   is equal to?
Q.10
The value of $$\left( {{\text{1 + }}\frac{1}{x}} \right)$$ $$\left( {{\text{1 + }}\frac{1}{{x + 1}}} \right)$$  $$\left( {{\text{1 + }}\frac{1}{{x + 2}}} \right)$$  $$\left( {{\text{1 + }}\frac{1}{{x + 3}}} \right)$$   is?
Q.11
If $$\frac{a}{b}{\text{ = }}\frac{2}{3}$$   and $$\frac{b}{c}{\text{ = }}\frac{4}{5}{\text{,}}$$   then the ration $$\frac{{a + b}}{{b + c}}$$   equal to?
Q.12
If $$\frac{{2a + b}}{{a + 4b}} = 3{\text{,}}$$   then find the value of $$\frac{{a + b}}{{a + 2b}} = ?$$
Q.13
If x : y = 4 : 15 then the value of $$\left( {\frac{{x - y}}{{x + y}}} \right)$$   is?
Q.14
If (x - 3)2 + (y - 5)2 + (z - 4)2 = 0, then the value of $$\frac{{{x^2}}}{9}{\text{ + }}\frac{{{y^2}}}{{25}}{\text{ + }}\frac{{{z^2}}}{{16}}$$    is?
Q.15
If $$x = \root 3 \of {a + \sqrt {{a^2} + {b^3}} } $$     + $$\root 3 \of {a - \sqrt {{a^2} + {b^3}} } $$     then $${x^3} + 3bx$$   is equal to?
Q.16
If $$\frac{{{x^{24}} + 1}}{{{x^{12}}}} = 7,$$    then the value of $$\frac{{{x^{72}} + 1}}{{{x^{36}}}} = \,?$$
Q.17
If 47.2506 = 4A + 7B + 2C + $$\frac{5}{{\text{D}}}$$ + 6E, then the value of 5A + 3B + 6C + D + 3E is?
Q.18
If x * y = x2 + y2 - xy, then the value of 9 * 11 is?
Q.19
If $$x + \frac{1}{x} = 3{\text{,}}$$   then the value of $$\left( {{x^5} + \frac{1}{{{x^5}}}} \right)\,{\text{is?}}$$
Q.20
If $$x + \frac{1}{x} = 2,$$   x ≠ 0, then the value of $${x^2}{\text{ + }}\frac{1}{{{x^3}}}$$   is equal to?
Q.21
If $$x = \sqrt 3 + \sqrt 2 {\text{,}}$$    then the value of $$\left( {x + \frac{1}{x}} \right)\,{\text{is?}}$$
Q.22
If p + q = 10 and pq = 5, then the numerical value of $$\frac{p}{q}{\text{ + }}\frac{q}{p}$$   will be?
Q.23
x varies inversely as square of y. Given that y = 2 for x = 1, the value of x for y = 6 will equal to?
Q.24
If a2 + b2 + c2 + 3 = 2(a - b - c), then the value of 2a - b + c is?
Q.25
If x = 2 then the value of x3 + 27x2 + 243x + 631 = ?
Q.26
If $$x - \frac{1}{x} = 3{\text{,}}$$   then the value of $${x^3} - \frac{1}{{{x^3}}}\,{\text{is?}}$$
Q.27
If x + y + z = 6, then the value of (x - 1)3 + (y - 2)3 + (z - 3)3 is?
Q.28
If $${\left( {x + \frac{1}{x}} \right)^2} = 3{\text{,}}$$    then the value of (x72 + x66 + x54 + x24 + x6 + 1) is?
Q.29
$${\text{The value of }}\frac{{4 + 3\sqrt 3 }}{{7 + 4\sqrt 3 }}{\text{ is?}}$$
Q.30
If a3 - b3 = 56 and a - b = 2, then the value of a2 + b2 will be?
0 h : 0 m : 1 s