Q.1
$${\text{If}}\,{\kern 1pt} {\left( {\frac{a}{b}} \right)^{x - 1}} = {\left( {\frac{b}{a}} \right)^{x - 3}},$$     then the value of x is
Q.2
If 310 × 272 = 92 × 3n then the value of n is = ?
Q.3
$$\left[ {{4^3} \times {5^4}} \right] \div {4^5} = ?$$
Q.4
(0.04)-1.5 = ?
Q.5
$$\frac{1}{{1 + {a^{\left( {n - m} \right)}}}} + \frac{1}{{1 + {a^{\left( {m - n} \right)}}}} = ?$$
Q.6
If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
Q.7
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
Q.8
If 5a = 3125, then the value of 5(a - 3) is:
Q.9
If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
Q.10
$${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.$$   $${\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.$$   $${\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}}$$   = ?
Q.11
If $$x = 3 + 2\sqrt 2 ,$$    then the value of $$\left( {\sqrt x - \frac{1}{{\sqrt x }}} \right)$$   is:
0 h : 0 m : 1 s