Competitive Exams : Quantitative Aptitude - Alligation (Set 2) | Concept of Maths

Question 1

A merchant mixes two varieties of sugar costing $$Rs. 42/kg$$ and $$Rs. 52/kg$$. By selling the mixture at $$Rs. 55.20/kg$$, he gains $$15\%$$. In what ratio did he mix the two varieties?

Accepted Answer

B) $$2 : 3$$

Answer

A) $$3 : 2$$

Answer

C) $$4 : 5$$

Answer

D) $$5 : 4$$

Question 2

A man travels a total distance of $$240 ext{ km}$$ in $$5 ext{ hours}$$. Part of the journey was covered by car at $$60 ext{ km/h}$$ and the rest by bike at $$40 ext{ km/h}$$. What is the ratio of the distance traveled by car to the distance traveled by bike?

Accepted Answer

C) $$3 : 2$$

Answer

A) $$2 : 3$$

Answer

B) $$1 : 1$$

Answer

D) $$4 : 1$$

Question 3

Alloy A contains copper and zinc in the ratio $$5 : 2$$ and Alloy B contains them in the ratio $$3 : 4$$. In what ratio should these alloys be mixed to get a new alloy containing copper and zinc in the ratio $$1 : 1$$?

Accepted Answer

A) $$7 : 14$$

Answer

B) $$3 : 5$$

Answer

C) $$5 : 2$$

Answer

D) $$1 : 1$$

Question 4

A container contains $$40 ext{ litres}$$ of milk. From this container, $$4 ext{ litres}$$ 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

C) $$29.16	ext{ L}$$

Answer

A) $$26.34	ext{ L}$$

Answer

B) $$27.36	ext{ L}$$

Answer

D) $$32.40	ext{ L}$$

Question 5

A sum of $$Rs. 10,000$$ is lent out in two parts, one at $$10\%$$ p.a. simple interest and another at $$12\%$$ p.a. If the average annual interest is $$10.8\%$$, find the sum lent at $$12\%$$?

Accepted Answer

D) $$Rs. 4,000$$

Answer

A) $$Rs. 6,000$$

Answer

B) $$Rs. 5,000$$

Answer

C) $$Rs. 4,500$$

Question 6

In what ratio must water be mixed with milk to gain $$20\%$$ by selling the mixture at the cost price of pure milk?

Accepted Answer

B) $$1 : 5$$

Answer

A) $$1 : 4$$

Answer

C) $$5 : 1$$

Answer

D) $$1 : 6$$

Question 7

The average weight of a class of $$40$$ students is $$52 ext{ kg}$$. If the average weight of the boys is $$54 ext{ kg}$$ and that of the girls is $$48 ext{ kg}$$, find the number of boys in the class.

Accepted Answer

A) $$26, 14$$ (Boys: 26)

Answer

B) $$20, 20$$ (Boys: 20)

Answer

C) $$24, 16$$ (Boys: 24)

Answer

D) $$30, 10$$ (Boys: 30)

Question 8

A shopkeeper has $$100 ext{ kg}$$ of rice. He sells a part at $$8\%$$ profit and the rest at $$18\%$$ profit. His total profit is $$14\%$$. How much rice did he sell at $$18\%$$ profit?

Accepted Answer

B) $$60	ext{ kg}$$

Answer

A) $$40	ext{ kg}$$

Answer

C) $$50	ext{ kg}$$

Answer

D) $$70	ext{ kg}$$

Question 9

Liquid A and B are mixed in the ratio $$4 : 3$$ in Vessel 1 and in ratio $$2 : 3$$ in Vessel 2. In what ratio should the mixtures from both vessels be mixed to get a new mixture containing half A and half B?

Accepted Answer

C) $$7 : 5$$

Answer

A) $$5 : 7$$

Answer

B) $$3 : 2$$

Answer

D) $$1 : 1$$

Question 10

In a laboratory, two bottles of spirit contain $$18\%$$ and $$24\%$$ spirit respectively. A glass is filled by taking $$2 ext{ parts}$$ from the first bottle and $$1 ext{ part}$$ from the second. What is the percentage of spirit in the glass?

Accepted Answer

D) $$20\%$$

Answer

A) $$19\%$$

Answer

B) $$21\%$$

Answer

C) $$22\%$$