Explore topic-wise MCQs in Vlsi.

This section includes 191 Mcqs, each offering curated multiple-choice questions to sharpen your Vlsi knowledge and support exam preparation. Choose a topic below to get started.

1.

A milkman uses three containers for selling milk, their capacities being 40 L, 30 L and 20 L respectively. He fills respectively 87.5%, 80% and 90% of the containers with a mix of milk and water in the ratios, 3 : 2, 5 : 1 and 7 : 2 respectively. What is the ratio of the total quantity of milk to that of water carried by him?

A. 35 : 9
B. 3 : 12
C. 5 : 2
D. 7 : 2
Answer» D. 7 : 2
Discussion
2.

One quality of wheat at Rs. 9.30 per kg is mixed with another quality of a certain rate in the ratio 8 : 7 respectively. If the mixture so formed be worth Rs.10 per kg, then what is the rate per kg of the second quality of wheat?

A. Rs. 7.80
B. Rs. 10.80
C. Rs. 8.80
D. Rs. 9.80
Answer» C. Rs. 8.80
Discussion
3.

If a dairy mixes cow’s milk which contains 10% fat with buffalo’s milk which contains20% fat, then the resulting mixture has fat (120/7) % of fat. In what ratio was thecow’s milk mixed with buffalo’s milk?

A. 2 : 5
B. 1 : 5
C. 2 : 3
D. 2 : 1
Answer» B. 1 : 5
Discussion
4.

A grain trader has 100 bags of rice. He sold some bags at 10% profit and rest at 20% profit. His overall profit on selling these 100 bags was 14%. How many bags did he sell at 20% profit?

A. 40
B. 50
C. 60
D. 70
Answer» B. 50
Discussion
5.

P and Q are two alloys which are prepared by mixing tin and lead in the ratio of 12 : 5 and 4 : 3 respectively. If equal quantities of alloys are melted to form a third alloy R, then what is the ratio of tin and lead in alloy R?

A. 84 : 65
B. 57 : 35
C. 76 : 43
D. 78 : 47
Answer» D. 78 : 47
Discussion
6.

500 litres of milk solution has 40% milk in it. How much more milk should be added to make it 60% in the solution?

A. 250
B. 100
C. 150
D. 200
Answer» B. 100
Discussion
7.

From a jar of wine containing 32 litres, 4 litres is drawn out, and the jar is filled up with water. If the same proportion of wine is further drawn out two more times, what proportion of wine to water will be there in the resulting mixture?

A. 245 : 166
B. 343 : 169
C. 363 : 173
D. 323 : 189
Answer» C. 363 : 173
Discussion
8.

In a 64 liter of mixture of milk and water, the quantity of water is 20 liter and the rest is milk. 1/4th of the mixture is taken out. How much milk should be added in the mixture so that the quantity of milk would be 3 times the quantity of water?

A. 15 liter
B. 18 liter
C. 21 liter
D. 16 liter
E. 12 liter
Answer» F.
Discussion
9.

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much (In fraction of vessel size) of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A. 1/3
B. 1/4
C. 1/5
D. 1/7
Answer» B. 1/4
Discussion
10.

A bowl contains 5 litres of milk. Rajesh removes 20% of the milk and adds 2 litres of water. Mahesh removes 40% of this solution and adds 4 litres of soya sauce. Finally, Ramesh removes 30% of this solution. Find the ratio of milk, water and soya sauce in the bucket now.

A. 6 ∶ 3 ∶ 7
B. 6 ∶ 3 ∶ 8
C. 6 ∶ 3 ∶ 9
D. 6 ∶ 3 ∶ 10
E. None of these
Answer» E. None of these
Discussion
11.

In a mixture of 35 litres, the ratio of water and acid is 6 : 1. If 5 litres of acid is added to the mixture, then what will be the ratio of water and acid in the new mixture?

A. 5 : 2
B. 4 : 1
C. 3 : 1
D. 6 : 5
Answer» D. 6 : 5
Discussion
12.

A container is full of water, 36 litres of water is drawn from it and it is then filled with milk, 36 litres of the mixture is again drawn and the container is again filled with milk. If the ratio of water and mil is 36 ∶ 13, then how much liquid does the container hold?

A. 250 litres
B. 253 litres
C. 252 litres
D. 352 litres
Answer» D. 352 litres
Discussion
13.

A solution contains vinegar and water in the ratio 5 ∶ 3. What part of the solution should be replaced with water so that the new solution contains vinegar and water in equal quantities?

A. 1/5
B. 1/2
C. 1/3
D. 1/4
Answer» B. 1/2
Discussion
14.

In a 90 litre solution, acid and water are in the ratio 2 ∶ 1, To make the ratio of acid and water as 1 ∶ 2, how many litre of water should be added to the solution?

A. 80
B. 75
C. 90
D. 120
Answer» D. 120
Discussion
15.

In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 millilitres, then what is the total quantity (in millilitres) of the mixture?

A. 2300
B. 2200
C. 2350
D. 2400
Answer» B. 2200
Discussion
16.

A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?

A. 110
B. 55
C. 220
D. 70
Answer» B. 55
Discussion
17.

6% of a sugar solution is sugar. If the volume of the solution is 350 ml, how much water is there in it?

A. 332.5 ml
B. 325.5 ml
C. 322 ml
D. 329 ml
Answer» E.
Discussion
18.

In a 50-liter solution of alcohol and water, which contains 40% alcohol, 10 liters of alcohol is added. Find the percentage of water in the final mixture.

A. 60%
B. 40%
C. 55%
D. 50%
Answer» E.
Discussion
19.

Rahul adds 2 litres of alcohol in 6 litres of water and Dinesh adds 1 litre of alcohol in 9 litres of water. What is the ratio of the percentage of alcohol in the two mixtures?

A. 7 ∶ 4
B. 2 ∶ 1
C. 5 ∶ 2
D. 8 ∶ 3
Answer» D. 8 ∶ 3
Discussion
20.

Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity I: In a mixture of 80 litre, Milk and water are in the ratio of 7 : 1. If 30% of the mixture is taken out, Find the quantity of the water left in the mixture.Quantity II: 7 litre

A. Quantity I > Quantity II
B. Quantity I < Quantity II
C. Quantity I ≥ Quantity II
D. Quantity I ≤ Quantity II
E. Quantity I = Quantity II or No relation
Answer» F.
Discussion
21.

A king ordered to make a crown from 8 kg of gold and 2 kg of silver. The goldsmith took away some amount of gold and replaced it by an equal amount of silver and the crown when made, weighted 10 kg. The king knows that under water gold loses \(\frac{1}{20}th\) of its weight, while silver loses \(\frac{1}{10}th\). When the crown was weighted under water, it was 9.25 kg. How much gold was stolen by the goldsmith?

A. 1 kg
B. 2 kg
C. 3 kg
D. 4 kg
Answer» D. 4 kg
Discussion
22.

A person has a chemical of Rs.25 per litre. In what ratio should water be mixed with chemical so that after selling the mixture at Rs.20 per litres he may get a profit of 25%.

A. 9 : 16
B. 9 : 14
C. 14 : 11
D. 16 : 7
Answer» B. 9 : 14
Discussion
23.

A milk seller has three kinds of milk of the quantities of 276, 322 and 414 litres. The seller wants to pour them into minimum number of containers of equal capacity without mixing. Find the capacity of each container and the number of required containers.

A. 46 litres and 22 containers
B. 276 litres and 22 containers
C. 46 litres and 23 containers
D. 322 litres and 46 containers
Answer» B. 276 litres and 22 containers
Discussion
24.

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer.Quantity A: In a 40 L mixture of milk and water, the water is only 10% then find amount of water to be added to make water concentration 50%.Quantity B: In a 100 L mixture of petrol and spirit, the spirit is only 2% then find amount of spirit to be added to make spirit concentration 30%.

A. Quantity A > Quantity B
B. Quantity A < Quantity B
C. Quantity A ≥ Quantity B
D. Quantity A ≤ Quantity B
E. Quantity A = Quantity B
Answer» C. Quantity A ≥ Quantity B
Discussion
25.

A milkman adds 10 litres of water to 90 litres of milk. After selling \(\frac{1}{5}th\) of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be:

A. 72 : 28
B. 28 : 72
C. 20 : 80
D. 30 : 70
Answer» C. 20 : 80
Discussion
26.

How many litres of acid are there in 12 litres of a 20% solution?

A. 1.2 litres
B. 3.6 litre
C. 4.8 litres
D. 2.4 litres
Answer» E.
Discussion
27.

From a container of 50 liters pure milk, 10 liters is taken out and replaced by 10 liters of water. If this process is repeated thrice, what is the ratio of water and milk finally?

A. 7 : 16
B. 61 : 64
C. 9 : 16
D. 1 : 4
Answer» C. 9 : 16
Discussion
28.

In what ratio should 20% ethanol solution be mixed with 40% ethanol solution to obtain a 28% ethanol solution?

A. 2 ∶ 3
B. 8 ∶ 5
C. 3 ∶ 2
D. 5 ∶ 8
Answer» D. 5 ∶ 8
Discussion
29.

A 400 gram mixture contains 30% zinc, 45% iron and the remaining copper, so how many grams of copper will be in a 400 gram mixture?

A. 200 gram
B. 100 gram
C. 150 gram
D. 160 gram
Answer» C. 150 gram
Discussion
30.

A vendor bought two varieties of tea, brand A and brand B, costing Rs. 15 per 100 g and Rs. 18 per 100 g, respectively, and mixed them in a certain ratio. Then, he sold the mixture at Rs. 20 per 100 g, making a profit of 20%. What was the ratio of brand A to brand B tea in the mixture?

A. 4 : 5
B. 1 : 2
C. 3 : 4
D. 2 : 3
Answer» B. 1 : 2
Discussion
31.

In what ratio should sugar costing Rs. 40 per kg be mixed with sugar costing Rs. 48 per kg , so as to earn a profit of 20% by selling the mixture at Rs. 54 per kg?

A. 2 ∶ 3
B. 4 ∶ 7
C. 3 ∶ 5
D. 5 ∶ 8
Answer» D. 5 ∶ 8
Discussion
32.

A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?

A. 32
B. 35
C. 40
D. 42
Answer» C. 40
Discussion
33.

In what ratio should tea costing Rs. 300/kg to be mixed with tea costing Rs. 200/kg so that the cost of the mixture is Rs. 225/kg?

A. 3 : 1
B. 1 : 3
C. 1 : 4
D. 4 : 1
Answer» C. 1 : 4
Discussion
34.

In an alloy, lead and tin are in the ratio of 2 : 3. In the second alloy, the ratio of same elements is 3 : 4. If equal quantities of these two alloy are mixed to form a new alloy, then what will be the ratio of these two elements in the new alloy?

A. 1 : 3
B. 29 : 41
C. 25 : 37
D. 31 : 43
Answer» C. 25 : 37
Discussion
35.

In a mixture of 45 litres, the ratio of milk and water is 3 : 2. How much water must be added to make the ratio 9 : 10?

A. 10 lt.
B. 17 lt.
C. 15 lt.
D. 12 lt.
Answer» E.
Discussion
36.

In a 15 liter solution containing 40% acid and 60% water, 25 liter solution containing 60% acid and 40% water is added. Find the percentage of water in the resulting mixture.

A. 50%
B. 38%
C. 60%
D. 47.50%
Answer» E.
Discussion
37.

From a container of milk, 10 % of the milk is replaced by water. This is repeated thrice. At the end of the third replacement, what percentage of pure milk is present in the mixture?

A. 73%
B. 70%
C. 80%
D. 30%
Answer» B. 70%
Discussion
38.

In a mixture the ratio of liquid A and liquid B is 3 ∶ 2. If 5 litre mixture is drown out and in final mixture the quantity of liquid A is 12 litre more than liquid B, then find the initial quantity of liquid A in the mixture.

A. 36 litre
B. 39 litre
C. 32 litre
D. 45 litre
E. 42 litre
Answer» C. 32 litre
Discussion
39.

30 g of sugar was mixed in 180 ml water in a vessel A, 40 g of sugar was mixed in 280 ml of water in vessel B and 20 g of sugar was mixed in 100 ml of water in vessel C. The solution in vessel B is:

A. sweeter than that in C
B. Sweeter than that in A
C. as sweet as that in C
D. less sweet than that in C
Answer» E.
Discussion
40.

A tea merchant has 3 varieties of tea to sell. Brand A was sold at Rs. 252 per kg, Brand B was sold at Rs. 280 per kg, and Brand C was sold at Rs. 316 per kg. At the end of the year, he finds that he has left 274 kg of brand A tea, 197 kg of brand B and 54 kg of brand C tea. He mixes the three and sells the mixture at the rate of Rs. 283.50 per kg. What was his profit or loss on the sale?A. Rs.7565.50 profitB. Rs.7565.50 lossC. Rs.8232.40 profitD. Rs.8125.30 loss

A. A
B. B
C. C
D. D
Answer» B. B
Discussion
41.

A mixture contains 18% copper by weight. How much mixture (in kg) is required to obtain 81 kg of copper?

A. 350
B. 300
C. 450
D. 250
Answer» D. 250
Discussion
42.

A man mixes milk and water in the ratio of 5 : 3. What is the percentage of milk in the resulting mixture?

A. 62.5
B. 37.5
C. 67.5
D. 72.5
Answer» B. 37.5
Discussion
43.

In a mixture ratio of the first and second liquid is 2 : 3 and in another mixture ratio of those two liquids is 5 : 4. The ratio in which two mixtures be mixed so that quantity of two liquids in the new mixture be equal is

A. 2 : 5
B. 3 : 7
C. 5 : 9
D. 9 : 11
Answer» D. 9 : 11
Discussion
44.

A vessel has 500 litres of milk, 50 litres of milk is replaced with 50 litres of water in this vessel. If this operation is repeated another 2 more times, what is the percentage of milk in the vessel at the end?

A. 70
B. 72.9
C. 80
D. 81
Answer» C. 80
Discussion
45.

30 litres of salt solution contains 5% salt. How many litres of water must be added so as to get a resulted solution containing 3% salt?A. 20 litresB. 25 litresC. 30 litresD. 35 litres

A. B
B. C
C. D
D. A
Answer» E.
Discussion
46.

In what ratio must a mixture of 15% spirit strength be mixed with that of 25% spirit strength to get a mixture of 21% spirit strength?

A. 1 : 3
B. 2 : 3
C. 3 : 4
D. 4 : 5
Answer» C. 3 : 4
Discussion
47.

One man adds 3 liters of water to 12 litres of milk and another 4 litres of water to 10 litres of milk. What is the ratio of the strengths of the milk in the two mixtures?

A. 15 : 25
B. 25 : 28
C. 28 : 25
D. None of these
Answer» D. None of these
Discussion
48.

Given below are two quantities named A & B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.Quantity A: A mixture contains milk and water in the ratio 3 ∶ 2. If 10 litres of the mixture is taken out and replaced with 10 litres water, the amount of water and milk becomes equal in the mixture.The initial quantity of milk in the mixture.Quantity B: 35

A. Quantity A > Quantity B
B. Quantity A < Quantity B
C. Quantity A ≥ Quantity B
D. Quantity A ≤ Quantity B
E. Quantity A = Quantity B or No relation.
Answer» B. Quantity A < Quantity B
Discussion
49.

200 litres of alcohol solution has 30% alcohol in it. How much alcohol should be added to make it 50% in the solution?

A. 60
B. 40
C. 80
D. 50
Answer» D. 50
Discussion
50.

In what ratio a man must mix sugar at Rs. 13.40 per kg with Rs. 17.70 per kg sugar so as to make a mixture worth Rs. 15.20 per kg?

A. 5 : 3
B. 5 : 2
C. 25 : 18
D. 19 : 12
Answer» D. 19 : 12
Discussion