Competitive Exams : Quantitative Aptitude - Alligation (Set 3) | Concept of Maths

Question 1

A merchant has 100 kg of sugar, part of which he sells at 7% profit and the rest at 17% profit. He gains 10% on the whole. How much is sold at 7% profit?

Accepted Answer

B) 70 kg

Answer

A) 30 kg

Answer

C) 60 kg

Answer

D) 40 kg

Question 2

In what ratio must water be mixed with milk costing ₹12 per litre to obtain a mixture worth ₹8 per litre? (Assume water is free)

Accepted Answer

C) $1 : 2$

Answer

A) $2 : 1$

Answer

B) $1 : 3$

Answer

D) $2 : 3$

Question 3

A sum of ₹4000 is lent out in two parts, one at 8% Simple Interest and another at 10% Simple Interest. If the total annual interest is ₹352, find the sum lent at 8%.

Accepted Answer

A) ₹2400

Answer

B) ₹1600

Answer

C) ₹2000

Answer

D) ₹2200

Question 4

A container contains 40 litres of milk. From this container, 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

Accepted Answer

D) 29.16 litres

Answer

A) 26.34 litres

Answer

B) 27.36 litres

Answer

C) 28 litres

Question 5

In an alloy, zinc and copper are in the ratio $1:2$. In another alloy, the same elements are in the ratio $2:3$. In what ratio should these two alloys be mixed to form a new alloy in which the two elements are in the ratio $5:8$?

Accepted Answer

C) $3 : 10$

Answer

A) $2 : 3$

Answer

B) $4 : 10$

Answer

D) $5 : 11$

Question 6

A person traveled a distance of 80 km in 7 hours partly on foot at the rate of 8 km/h and partly on bicycle at 16 km/h. The distance traveled on foot is:

Accepted Answer

B) 32 km

Answer

A) 48 km

Answer

C) 40 km

Answer

D) 36 km

Question 7

In what ratio must a grocer mix two varieties of tea costing ₹60 per kg and ₹65 per kg so that by selling the mixture at ₹68.20 per kg he may gain 10%?

Accepted Answer

A) $3 : 2$

Answer

B) $3 : 4$

Answer

C) $2 : 3$

Answer

D) $4 : 5$

Question 8

A milkman has two types of milk. In the first container, the percentage of milk is 80% and in the second container, the percentage of milk is 60%. If he mixes 28 litres from the first with 32 litres from the second, find the percentage of milk in the new mixture.

Accepted Answer

D) 69.33%

Answer

A) 65.5%

Answer

B) 72.4%

Answer

C) 70%

Question 9

The average weight of a class of 30 students is 45 kg. If the average weight of the boys is 48 kg and that of the girls is 42 kg, find the number of boys in the class.

Accepted Answer

B) 15

Answer

A) 12

Answer

C) 18

Answer

D) 20

Question 10

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is $16 : 65$. How much wine did the cask hold originally?

Accepted Answer

A) 24 litres

Answer

B) 32 litres

Answer

C) 40 litres

Answer

D) 42 litres