Zoho Simplification Quiz 1

Using BODMAS rule : 3 + 2\times \left (1 + \frac{1}{2}  \right ) = 3 + 2\times \left ( \frac{3}{2}  \right )= 6

Sol: (\frac{6}{7} + \frac{7}{8}) - ( \frac{6}{7} - \frac{7}{8})

= \frac{6}{7} + \frac{7}{8} - \frac{6}{7}  + \frac{7}{8}

= 2*\frac{7}{8}

= \frac{7}{4}

2(\frac{7}{2}) + 3( \frac{8}{6} ) - 5( \frac{2}{4} )

= 2(\frac{7}{2}) + 3( \frac{4}{3} ) - 5( \frac{1}{2} )

= 7+ 3( \frac{4}{3} ) - 5( \frac{1}{2} )

= 7+ 4 - 5( \frac{1}{2} )

= 11 - 5( \frac{1}{2} )

= \frac{22 - 5}{2} 

= \frac{17}{2} 

 

72.55% of 1200 – 2.63% of 5200 + y + 2\times \left (1 + \frac{9}{2}  \right ) - y

= \frac{72.55}{100}*1200 - \frac{2.63}{100}*5200 + 2\times \left (1 + \frac{9}{2}  \right ) + y - y

= \frac{4353}{5} - \frac{3419}{25} + 2\times \left ( \frac{11}{2}  \right )

= \frac{21765}{25} - \frac{3419}{25} + 11

= -\frac{18346}{25} + 11

= 11 - \frac{18346}{25}

= \frac{275 - 18346}{25}

= - \frac{18071}{25}

= - 722.84

 

Sol: \frac{3*9 + 5 - 1}{6*9 + 7 - 39} + 2\times \left (1 + \frac{1}{2}  \right ) + 2P - 2P

= \frac{27 + 5 - 1}{54 + 7 - 39} + 2\times \left (1 + \frac{1}{2}  \right )

= \frac{31}{31} + 2\times \left ( \frac{3}{2}  \right )

= \frac{1}{1} + 3

= 4

 

Sol: (87)5 – 2(y) = 3873 – 3123

435 - 2y = 750

-315 = 2y

Y = -\frac{315}{2}

Sol: 25% of x + x% of 10 = 15% of 20+ x% of 100

\frac{25}{100} x +   \frac{x}{100} \times 10 =  \frac{15}{100} \times 20 +  \frac{x}{100} \times 100

\frac{x}{4}+ \frac{x}{10} = 3 + x

\frac{7x}{20} = 3 + x 

7x = 20( 3 + x )

7x = 60 + 20x

-13x = 60

X = -\frac{60}{13}

\sqrt{627}+\sqrt{527}*\sqrt{627}-\sqrt{527}

= (\sqrt{627})^{2}- (\sqrt{527})^{2}

= 627 - 527

= 100

27% of one-fith of 2,25,000 = 0.27 x 0.2 x 500000

 

= 27000

 

We need to find what percentage of 2700 is 27000

= 27000*100/2700

= 1000

 637* 20/ \sqrt{400} - 437 - 3\times \left (1+ \frac{8}{3}  \right )+ y - y

= 637*20/20 - 437 - 3\times \left ( \frac{8+3}{3}  \right )

= 637 - 437 - 3\times \left ( \frac{11}{3}  \right )

= 200 - 11

= 189