Quantitative Aptitude - Arithmetic Ability Questions

Amount of pure milk= a(1 –b/a)n(n = 3, a = pure milk and b = amount replaced)= 960 (1 –48/960)^3= 960(1-1/20)^3= 960 * 19/20 * 19/20*19/20= 823.08 lt.

Expressing 3/8 as a decimal fraction:

We can convert 3/8 into a decimal fraction by just dividing 3 by 8 or making 3 into 8 parts.

Then, it is 3/8 = 0.375 as a decimal fraction.

Other Method::

3/8 as a Decimal :

In this we should convert the denominator into 10, 100, 1000, 10000, 100000,... to make it simple.

Now to make 8 into 1000, we multiply numerator and denominator with 125

=> (3 x 125)/(8 x 125) = 375/1000 = 0.375.

To find the largest 4 digit number exactly divisible by 88,

We should divide the largest possible 4 digit number by 88, and if we get any remainder than subtract it from that largest number.

The largest possible 4 digit number is 9999

Now,

88) 9999 (113
      88
  _______
      119
        88
  _______
        319
        264
  _______
          55
  _______

Therefore, the largest 4 digit number exactly divisible by 88 is given by

9999 - 55 = 9944.

We know that,

P.W = 100×T.D/R×T

= 100×168/14×2

P.W = 600.

Now, required Sum = (P.W. + T.D.)

= Rs. (600 + 168)

= Rs. 768.