Aptitude Questions and Answers

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The number of oranges in three basket are in the ratio 3 : 4 : 5. In which ratio the no. of oranges in first two basket must be increased so that the new ratio becomes 5 : 4 : 3 ?

3:4

2:1

2:3

1:3

correct answer b

Let,
B₁ : B₂ : B₃ = 3x : 4x : 5x
Again,
B₁ : B₂ : B₃ = 5y : 4y : 3y
Number of oranges remain constant in third basket as increase in oranges takes place only in first two baskets.
Hence, 5x = 3y
`x=(3y)/5`
and,
3x : 4x : 5x
→ `(9y) /5 : (12y) /5 : (15y) /5 = 9y : 12y : 15y`
And,
5y : 4y : 3y → 25y : 20y : 15y

Therefore, Increment in first basket = 16.
Increment in second basket = 8.
Thus, Required ratio = 16 /8 = 2 : 1

A mixture contains alcohol and water in the ratio 4 : 3. If 5 liters of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

correct answer a

Let the quantity of alcohol and water be 4x litres and 3x litres respectively

$\frac{4x}{(3x+5)}=\frac{4}{5}$