Arithmetic Questions Answers

$=1div Biggl{ frac{1}{2} + frac{1}{3} + frac{1}{6} div bigg(frac{3}{4}-frac{1}{3}bigg) Biggr}$

$=1div Biggl{ frac{1}{2} + frac{1}{3} + frac{1}{6} div frac{5}{12} Biggr}$

$=1div Bigg{ frac{1}{2} + frac{1}{3} + frac{1}{6} times frac{12}{5} Bigg}$

$=1div Bigg{ frac{1}{2} + frac{1}{3} + frac{2}{5} Bigg} = frac{30}{37}$

= 4.57*4.57
= 20.8849
 

$=sqrt{frac{36.1}{102.4}} = sqrt{frac{361}{1024}} = frac{19}{32}$

After 28 days, food for $31-28=3$ days

No. of persons left $= 400 - 280 = 120$

400 persons can have food for 3 days

$therefore 120$ persons can have food for $frac{400 times 3}{120} = 10$ days

After 4 days, food is left for $1200-300 = 900 text{ men}$

900 men can have food for

$=frac{1200 times 24} {900} = 32$ days
 

Part of cistern filled in an hour

$= Big(frac{1}{8} - frac{1}{12}Big) = frac{3 - 2 }{24} = frac{1}{24}$

$therefore$ In 24 hours the cistern is full. Now in 24 hours, the filling pipe can throw water in the cistern at the rate of 6 litres per minute.

Capacity $= 24 times 60 times 6 = 8640 text { litres}$
 

In 16 minutes, the second pipe will fill half the cistern. So the first pipe shall fill the remaining half in 12 minutes.

95% of capacity = 38 litres

$therefore text { Capacity }= 38 times frac{100}{95} = 40 text{ litres}$

$therefore$ 2  litres more should be poured