Q.1
Evaluate : $$\frac{{\left( {923 - 347} \right)}}{?} = 32$$
Q.2
1559.95 - 7.99 × 24.96 - ?2 = 1154
Q.3
Direction: In the question given below the given mathematical symbols are changed from '+' to '÷', '-' to '×', '÷' to '-' and from '×' to '+', then choose your answers from the following options.
67 × 119 + 17 - 27 × 259 = ?
Q.4
$$\left\{ {\left( {64 - 38} \right) \times 4} \right\} \div 13 = ?$$
Q.5
If x + y = 2a, then the value of $$\frac{a}{{x - a}} + \frac{a}{{y - a}}\,{\text{is = ?}}$$
Q.6
If $$\left( {4{b^2} + \frac{1}{{{b^2}}}} \right){\text{ = 2,}}$$     then $$\left( {8{b^3} + \frac{1}{{{b^3}}}} \right)$$   = ?
Q.7
$$\frac{{20 + 8 \times 0.5}}{{20 - ?}}{\text{ = 12}}$$     Find the value in place of (?)
Q.8
Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
Q.9
Solve $${\text{1}}\frac{4}{5} + 20 - 280 \div 25 = ?$$
Q.10
421 ÷ 35 × 299.97 ÷ 25.05 = ?2
Q.11
Simplify : $$\root 3 \of { - 2197} \,\times $$  $$\root 3 \of { - 125} \,\,\div $$   $$\root 3 \of {\frac{{27}}{{512}}} $$  = ?
Q.12
If $$\left( {a + \frac{1}{a}} \right) = 6,$$    then $$\left( {{a^4} + \frac{1}{{{a^4}}}} \right)$$   = ?
Q.13
If $$\left( {x - \frac{1}{x}} \right){\text{ = }}\sqrt {21} {\text{,}}$$     then the value of $$\left( {{x^2} + \frac{1}{{{x^2}}}} \right)$$ $$\left( {x + \frac{1}{x}} \right)$$  is = ?
Q.14
Let 0 < x < 1, then the correct inequality is = ?
Q.15
If $$\frac{a}{b}{\text{ + }}\frac{b}{a}{\text{ = 2,}}$$    then the value of (a - b) is = ?
Q.16
The expression $$\frac{1}{{x - 1}} - $$  $$\frac{1}{{x + 1}} - $$  $$\frac{2}{{{x^2} + 1}} - $$  $$\frac{4}{{{x^4} + 1}}$$  is equal to = ?
Q.17
$$\left( {x + \frac{1}{x}} \right)$$ $$\left( {x - \frac{1}{x}} \right)$$ $$\left( {{x^2} + \frac{1}{{{x^2}}} - 1} \right)$$  $$\left( {{x^2} + \frac{1}{{{x^2}}} + 1} \right)$$   is equal to ?
Q.18
Solve : 128.43 + 30.21 + ? = 173
Q.19
On simplification the value of $${\text{1}} - $$ $$\frac{1}{{1 + \sqrt 2 }}{\text{ + }}$$  $$\frac{1}{{1 - \sqrt 2 }}$$  is = ?
Q.20
If $$\left( {{a^4} + \frac{1}{{{a^4}}}} \right){\text{ = 1154,}}$$     then the value of $$\left( {{a^3} + \frac{1}{{{a^3}}}} \right)$$   is = ?
Q.21
24.962 ÷ (34.11 ÷ 20.05) + 67.96 - 89.11 = ?
Q.22
The value of $$\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{\text{ + }}$$   $$\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} + $$   $$\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}$$   is = ?
Q.23
If $$\left( {x + \frac{1}{x}} \right){\text{ = 2,}}$$    then $$\left( {x - \frac{1}{x}} \right)$$   is equal to = ?
Q.24
If 12 + 22 + 32 + . . . . . + p2 = $$\left[ {\frac{{{\text{p}}\left( {{\text{p}} + 1} \right)\left( {2{\text{p}} + 1} \right)}}{6}} \right]{\text{,}}$$     then 12 + 32 + 52 + . . . . . + 172 is = ?
Q.25
If $$\left( {x + \frac{1}{x}} \right){\text{ = }}\sqrt {13} {\text{,}}$$     then the value of $$\left( {{x^3} - \frac{1}{{{x^3}}}} \right)$$   is = ?
Q.26
If $$\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1$$     and $$\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0$$     where a, b, c, p, q, r are non-zero real numbers, then $$\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}$$    is equal to = ?
Q.27
The simplest value of $$\left( {\frac{1}{{\sqrt 9 - \sqrt 8 }} - \frac{1}{{\sqrt 8 - \sqrt 7 }} + \frac{1}{{\sqrt 7 - \sqrt 6 }} - \frac{1}{{\sqrt 6 - \sqrt 5 }}} \right)$$          is = ?
Q.28
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?
Q.29
The greatest 4 digit number which is a perfect square, is = ?
Q.30
The simplified value of $$\frac{{\sqrt {32} + \sqrt {48} }}{{\sqrt 8 + \sqrt {12} }}{\text{ is = ?}}$$
0 h : 0 m : 1 s