Aptitude

1

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 ?

a

3:4

b

2:1

c

2:3

d

1:3

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

2

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.

a

10

b

12

c

15

d

18

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

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

20x = 4(3x+5)

8x = 20

x = 2.5

Quantity of alcohol = (4 x 2.5) litres = 10 litres.