Number, Decimals and Fraction Quiz-1

Weight of 1 apple = 500 g
Weight of 10 apples = 500 x 10 g
= 5 kg

Initial weight = 25 - 5
= 20 kg
Number of apples in his carton initially :
= \frac{20000}{500}
=40 apples

Solution:
here we will use perfect square method,
after performing perfect square method we get 154 as remainder,

Subtracting \frac{154}{10^{6}} from 0.007898 gives perfect square

hence the answer is 0.000154

First Prime Factorize 98800, that Gives;

98800 = 2×2×2x2x5×5×13×19

As factor of 13x19 is not in Pair.

98800 should be divided by 13x19 to get a Perfect Square

i.e.- 98800/(13x19)  = 400

divide numerator & denominator by 5
0.0265

= \frac{265}{10000}
= \frac{53}{2000}

The plumber has to make 25 pieces from 1 meter.
So for 1 piece,  the measurement will be \frac{1}{25} =0.04 m
from 50 m plumber can get \frac{50}{0.04} = 1250 pieces

1) 49863/17 = 2933.1,Dividend contains 2 places of decimal So,498.63 / 17=29.33
2) 16750/32 = 523.43 ,Dividend contains 2 places of decimal So,167.50/32 = 5.23
3) 57565/43 = 1338.72,Dividend contains 2 places of decimal So,575.65/43 = 13.38
Hence,the desired order is 1,3,2.

Given , 0.6667 x 0.225 x 0.899 x 0.125 x 28
it can be written as :

= \frac{6}{10}\times\frac {225}{1000}\times 0.9\times\frac{125}{1000}\times 28

= 0.43 

 

Let x

Then x+ 741 + 7.41= 801.2

Then, x = 801.2 - (741 + 7.41)

= 801.2 - 748.41 =52.79

Missing digit = 52.79

= \frac {1}{30\times 365}

= \frac {1}{10950}

=.00009

0.125 + 0.100 = 0.225 = 225/1000 = \frac{9}{40}.
Sum of the numerator and denominator is 9 + 40 = 49