Alligation Or Mixture, Quantitative Aptitude Subject

Home » Aptitude » Alligation Or Mixture » Objective Questions

Aptitude Alligation Or MixturePage 3

17.

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

(a)400 kg

(b)560 kg

(d)640 kg

Answer!

Answer is: CBy the rule of alligation, we have:

Ration of 1st and 2nd parts = 4 : 6 = 2 : 3.
Quantity of 2nd kind = (3/5) x 1000 kg = 600 kg.

18.

A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo?

(a)40

(b)30

(d)60

Answer!

Answer is: CLet the number of horses = X.
Then the number of pigeons = 80 â€“ X.
Each pigeon has 2 legs and each horse has 4 legs.
Therefore, total number of legs = 4X + 2(80 - X) = 260.
4X + 160 â€“ 2X = 260
2X = 100
X = 50.

19.

The cost of type I rice is Rs.15 p/kg and type II is Rs. 20 p/kg. Both are mixed in the ratio 2 : 3, price p/kg of the mixed variety is :

(a)Rs. 20

(b)Rs. 30

(c)Rs. 15

(d)Rs. 18

Answer!

Answer is: DStep (i):
Let the price of mixed variety be X.
Mean price = Rs. X.
By alligation method:

Ratio = (20 - X) : (X - 15).
Step(ii):
Mixed variety is in the ratio = 2 : 3.
(20 - X)/(X â€“ 15) = 2/3
60 â€“ 3X = 2X â€“ 30
X = 90/5 = 18
Price of mixture = Rs. 18 per kg.

20.

150 liters of a 20% alcohol solution is mixed with 200 liters of another solution. If the resulting solution is 18% alcohol, what is the percent of alcohol in the 200 liters solution?

(a)21%

(b)16.5%

(d)18%

Answer!

Answer is: BTotal solution is 350 litres.
We have the following equation:
350(0.18) = 200(X) + 150(0.2)
Solving for X,
We get X = 0.165 i.e. 16.5%

Comments

No comment yet.

Aptitude Alligation Or MixturePage 3

Comments

Topics from Aptitude

More subjects

Links

Social links

For Coaching Class/Schools

Subscribe for updates