Q.1
The value of $$\frac{{{{\left( {a + b} \right)}^2}}}{{\left( {{a^2} - {b^2}} \right)}}{\text{is}}\, = {\text{?}}$$
Q.2
Given that $$\sqrt {574.6} $$  = 23.97, $$\sqrt {5746} $$  = 75.8 then $$\sqrt {0.00005746} $$   = ?
Q.3
If $$a = \frac{x}{{x + y}}$$   and $$b = \frac{y}{{x - y}}{\text{,}}$$   then $$\frac{{ab}}{{a + b}}$$ &nbsp is equal to = ?
Q.4
$$\sqrt {\frac{{0.25}}{{0.0009}}} \times \sqrt {\frac{{0.09}}{{0.36}}} $$     is equal to ?
Q.5
The value of $$\sqrt {32} $$  - $$\sqrt {128} $$  + $$\sqrt {50} $$ correct to 3 places of decimal is $$\sqrt {32} $$  - $$\sqrt {128} $$  + $$\sqrt {50} $$  = ?
Q.6
Simplify : $$\frac{{1 + \frac{1}{2}}}{{1 - \frac{1}{2}}} \div \frac{4}{7}\left( {\frac{2}{5} + \frac{3}{{10}}} \right)$$     $${\text{of}}$$ $$\frac{{\frac{1}{2} + \frac{1}{3}}}{{\frac{1}{2} - \frac{1}{3}}}$$
Q.7
The value of $$2{a^3} - \left[ {3{a^3} + 4{b^3} - \left\{ {2{a^3} + \left( { - 7{a^3}} \right)} \right\}{\text{ + 5}}{a^3} - {\text{7}}{{\text{b}}^3}{\text{ }}} \right]{\text{ is - }}$$
Q.8
If $$\frac{a}{{b + c}}{\text{ = }}\frac{b}{{c + a}}$$   = $$\frac{c}{{a + b}}{\text{ = k,}}$$    then find the value of k is
Q.9
32 shirt pieces of 120cm each can be cut from a reel of cloth. After cutting these pieces 80 cm of cloth remains. What is the length of reel of cloth in meters?
Q.10
If $$\frac{a}{b} = \frac{1}{3}\,,$$ $$\,\,\frac{b}{c} = 2\,,$$ $$\,\,\frac{c}{d} = \frac{1}{2}\,,$$ $$\,\,\frac{d}{e} = 3$$   and $$\,\frac{e}{f} = \frac{1}{4}\,,$$   then what is the value of $$\frac{{abc}}{{def}} = ?$$
Q.11
If $$\frac{m}{n}{\text{ = }}\frac{4}{3}$$   and $$\frac{r}{t}{\text{ = }}\frac{9}{{14}}{\text{,}}$$ &nbsp then the value of $$\frac{{3mr - nt}}{{4nt - 7mr}}{\text{ is}} = {\text{?}}$$
Q.12
If a + b + c = 0, find the value of $$\frac{{{a^2}}}{{\left( {{a^2} - bc} \right)}} + $$  $$\frac{{{b^2}}}{{\left( {{b^2} - ca} \right)}} + $$  $$\frac{{{c^2}}}{{\left( {{c^2} - ab} \right)}} = ?$$
Q.13
$$\frac{{{a^2} - {b^2} - 2bc - {c^2}}}{{{a^2} + {b^2} + 2ab - {c^2}}}$$     is equivalent to = ?
Q.14
If a + b + c = 2s, then the value of (s - a)2 + (s - b)2 + (s - c)2 + s2 will be-
Q.15
The value of $$\left[ {1 + \frac{1}{{x + 1}}} \right]$$ $$\left[ {1 + \frac{1}{{x + 2}}} \right]$$ $$\left[ {1 + \frac{1}{{x + 3}}} \right]$$ $$\left[ {1 + \frac{1}{{x + 4}}} \right]$$   $${\text{is}} = ?$$
Q.16
Simplify if $$\frac{a}{b} = \frac{4}{5}$$   and $$\frac{b}{c} = \frac{{15}}{{16}},$$   then $$\frac{{{c^2} - {a^2}}}{{{c^2} + {a^2}}}$$   is = ?
Q.17
The simplification of $$\frac{1}{8} + $$ $$\frac{1}{{{8^2}}} + $$ $$\frac{1}{{{8^3}}} + $$ $$\frac{1}{{{8^4}}} + $$ $$\frac{1}{{{8^5}}}$$ upto three place of decimals yields = ?
Q.18
$$\sqrt {{{\left( {0.798} \right)}^2} + 0.404 \times 0.798 + {{\left( {0.202} \right)}^2}} $$       $$ + 1$$ $$ = ?$$
Q.19
$$\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - 0.73 \times 0.27}}$$      = ?
Q.20
$$\frac{{{{\left( {a - b} \right)}^2} - {{\left( {a + b} \right)}^2}}}{{ - 4a}}{\text{ = }}\frac{x}{y}$$     On simplifying the given equations, which of the following equations will be obtained ?
Q.21
Solve 4376 + 3209 - 1784 + 97 = 3125 + ?
Q.22
Solve 14 × 627 ÷ $$\sqrt {\left( {1089} \right)} $$   = (?)3 + 141
Q.23
$$\frac{6}{{5 - \frac{5}{3}}} \div \frac{{4 - \frac{2}{{4 - \frac{1}{2}}}}}{{5 - \frac{3}{2}}} - \frac{2}{5}\,$$     $$\text{of}$$ $$\left\{ {\frac{6}{9} + \frac{2}{3}{\text{ of }}\frac{1}{2}} \right\}$$   $$ = ?$$
Q.24
$$\eqalign{ & {\text{Simplify if,}} \cr & {\text{I = }}\frac{3}{5} \div \frac{5}{6}{\text{,}} \cr & {\text{II = 3}} \div \left[ {\left( {4 \div 5} \right) \div 6} \right]{\text{,}} \cr & {\text{III = }}\left[ {3 \div \left( {4 \div 5} \right)} \right] \div 6\,, \cr & {\text{IV = 3}} \div {\text{4}}\left( {5 \div 6} \right) \cr & {\text{then }} \cr} $$
Q.25
If $$\frac{{x + 1}}{{x - 1}}{\text{ = }}\frac{a}{b}$$    and $$\frac{{1 - y}}{{1 + y}}{\text{ = }}\frac{b}{a}{\text{,}}$$    then the value of $$\frac{{x - y}}{{1 + xy}}$$   = ?
Q.26
200 ÷ 25 × 4 + 12 - 3 = ?
Q.27
If $$\left( {x + \frac{1}{x}} \right) = 3,$$    then $$\left( {{x^2} + \frac{1}{{{x^2}}}} \right)$$   is = ?
Q.28
If x + y + z = 0, then x3 + y3 + z3 + 3xyz is equal to = ?
Q.29
Simplify : -7m -[3n -{8m -(4n - 10m)}]
Q.30
If a + 2b = 6 and ab = 4, then what is $$\frac{2}{a} + \frac{1}{b} = ?$$
0 h : 0 m : 1 s