Q.1
The value of [(10)150 ÷ (10)146]
Q.2
Find the simplest value of $${\text{2}}\sqrt {50} $$  + $$\sqrt {18} $$  - $$\sqrt {72} $$ = ?(given $$\sqrt 2 $$ = 1.414)
Q.3
553 + 173 - 723 + 201960 is equal to = ?
Q.4
(3x - 2y) : (2x + 3y) = 5 : 6, then one of the value of $${\left( {\frac{{\root 3 \of x + \root 3 \of y }}{{\root 3 \of x - \root 3 \of y }}} \right)^2}{\text{ is = ?}}$$
Q.5
The exponential form of $$\sqrt {\sqrt 2 \times \sqrt 3 } {\text{ is = ?}}$$
Q.6
The quotient when 10100 is divided by 575 is
Q.7
The greatest of $$\sqrt 2 ,$$  $$\root 6 \of 3 ,$$  $$\root 3 \of 4 ,$$  $$\root 4 \of 5 $$   is = ?
Q.8
If 32x-y = 3x+y = $$\sqrt {27} {\text{,}}$$  the value of y is = ?
Q.9
$$\frac{{\sqrt {10 + \sqrt {25 + \sqrt {108 + \sqrt {154 + \sqrt {225} } } } } }}{{\root 3 \of 8 }} $$       = ?
Q.10
$${\left( {32 \times {{10}^{ - 5}}} \right)^{ 2}} \times $$    $$64\, \div $$ $$\left( {{2^{16}} \times {{10}^{ - 4}}} \right)$$   $$ = $$ $${10^?}$$
Q.11
Suppose 4a = 5, 5b = 6, 6c = 7, 7d = 8, then the value of abcd is = ?
Q.12
$$\frac{{{6^2} + {7^2} + {8^2} + {9^2} + {{10}^2}}}{{\sqrt {7 + 4\sqrt 3 } - \sqrt {4 + 2\sqrt 3 } }}$$     is equal to = ?
Q.13
Given 2x = 8y+1 and 9y = 3x-9 , then value of x + y is = ?
Q.14
$$2\root 3 \of {32} - 3\root 3 \of 4 + \root 3 \of {500} = ?$$
Q.15
The least one among $${\text{2}}\sqrt 3 {\text{,}}$$  $${\text{2}}\root 4 \of 5 {\text{,}}$$  $$\sqrt 8 {\text{,}}$$  $${\text{3}}\sqrt 2 $$  is = ?
Q.16
The greatest one of $$\sqrt 2 ,$$  $$\root 3 \of 3 ,$$  $$\root 6 \of 6 ,$$  $$\root 5 \of 5 $$  is = ?
Q.17
The value of $$\frac{1}{{1 + \sqrt 2 + \sqrt 3 }} + $$   $$\frac{1}{{1 - \sqrt 2 + \sqrt 3 }}$$   is = ?
Q.18
21? × 216.5 = 2112.4
Q.19
What are the values of x and y that satisfy the equation, $${{\text{2}}^{0.7x}}{\text{.}}{{\text{3}}^{ - 1.25y}}{\text{ = }}\frac{{8\sqrt 6 }}{{27}}{\text{ ?}}$$
Q.20
If $${\text{5}}\sqrt 5 \times {{\text{5}}^3} \div {{\text{5}}^{ - \frac{3}{2}}}{\text{ = }}{{\text{5}}^{a + 2}}{\text{,}}$$     then the value of a is = ?
Q.21
$${\left( {\frac{{{x^b}}}{{{x^c}}}} \right)^{\left( {b + c - a} \right)}}.$$   $${\left( {\frac{{{x^c}}}{{{x^a}}}} \right)^{\left( {c + a - b} \right)}}.$$   $${\left( {\frac{{{x^a}}}{{{x^b}}}} \right)^{\left( {a + b - c} \right)}} = ?$$
Q.22
If 2n-1 + 2n+1 = 320, then the value of n is = ?
Q.23
The greatest among the numbers $${\left( {2.89} \right)^{0.5}},$$   $$2 - {\left( {0.5} \right)^2},$$   $$1 + \frac{{0.5}}{{1 - \frac{1}{2}}},$$   $$\sqrt 3 $$  is = ?
Q.24
The value of $$\frac{1}{{\sqrt 7 - \sqrt 6 }} - $$  $$\frac{1}{{\sqrt 6 - \sqrt 5 }} + $$  $$\frac{1}{{\sqrt 5 - 2 }} - $$  $$\frac{1}{{\sqrt 8 - \sqrt 7 }} + $$  $$\frac{1}{{3 - \sqrt 8 }} = ?$$
Q.25
If abc = 1, then $${\frac{1}{{1 + a + {b^{ - 1}}}} + }$$   $${\frac{1}{{1 + b + {c^{ - 1}}}} + }$$   $${\frac{1}{{1 + c + {a^{ - 1}}}}}$$   = ?
Q.26
461 + 462 + 463 + 464 is divided by = ?
Q.27
The value of $${\left( {{x^{\frac{{b + c}}{{c - a}}}}} \right)^{\frac{1}{{a - b}}}}{\text{.}}$$  $${\left( {{x^{\frac{{c + a}}{{a - b}}}}} \right)^{\frac{1}{{b - c}}}}.$$  $${\left( {{x^{\frac{{a + b}}{{b - c}}}}} \right)^{\frac{1}{{c - a}}}}{\text{ is = ?}}$$
Q.28
Evaluate : $$\sqrt {20} + \sqrt {12} + \root 3 \of {729} \,\, - $$     $$\frac{4}{{\sqrt 5 - \sqrt 3 }} \,- $$   $$\sqrt {81} = ?$$
Q.29
The value of $$\sqrt {40 + \sqrt {9\sqrt {81} } }$$    is = ?
Q.30
$$\sqrt {8 - 2\sqrt {15} } $$   is equal to = ?
0 h : 0 m : 1 s