Maths

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup

Option:

A 1/3 B 1/4 C 1/5 D 1/7

Solution:

Suppose the vessel initially contains 8 litres of liquid.

Let x litres of this liquid be replaced with water.

Quantity of water in new mixture =3 -3xxlitres
8

Quantity of syrup in new mixture =5 -5xlitres
8

3 -3xx=5 -5x
88

 5x + 24 = 40 - 5x

 10x = 16

 x =8.
5

So, part of the mixture replaced =8x1=1.
585


11th April 2019

vitorr maths

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Find the minimum integral value of n such that the division 55n/124 leaves no remainder

Find the minimum integral value of n such that the division 55n/124 leaves no remainder

  1. 124
  2. 123
  3. 31
  4. 62

Answer

As 55 does not have factor common to 124, so for 55n to be exactly divisible by 124, n should be a multiple of 124.

Hence the minimum value that n can have is 124 it self

The correct option is A.

 

29th March 2019

vitorr maths

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