Mixture And Alligation Numerical Ability Questions for SBI Clerk Exam: 14th May 2018

Dear students,
Quantitative Aptitude for SBI Clerk Exam: 14th May 2018
Numerical Ability for SBI Clerk Prelims 2018

Today is the Day 23 of the SBI Clerk 60 Days Study PlanNumerical Ability Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Numerical Ability quiz to help you practice with the best of latest pattern questions.

Q1. An alloy of iron and nickil weight 50g. It contains 80% iron. How much iron should be added to the alloy so that percentage of iron is increased to 90?
(a) 50 g
(b) 60 g
(c) 30 g
(d) 40 g
(e) 60 g

Q2. Three vessels contain equal mixtures of acid and water in the ratio 6 : 1, 5 : 2 and 3 : 1 respectively. If all the solutions are mixed together, the ratio of acid to water in the final mixture will be 
(a) 64 : 65
(b) 65 : 19
(c) 19 : 65
(d) 64 : 19
(e) 39 : 17

Q3.  How many kg of sugar worth Rs. 25 per kg must be blended with 30 kg of sugar worth Rs. 30 per kg so that by selling the blended variety at Rs. 30 per kg there should be gain of 10%?  
(a) 30 kg
(b) 32 kg
(c) 36 kg
(d) 42 kg
(e) 34 kg

Q4. A mixture contains milk and water in the ratio 5 : 1. On adding 5 liters of water, the ratio of milk and water becomes 5 : 2. The quantity of milk in the original mixture is? 
(a) 16 litres
(b) 25 litres
(c) 22.75 liters
(d) 32.5 liters
(e) 28 litres

Q5. A vessel contains 1 litre mixture of kerosine and disel and the other vessel contains 2 litre mixture of the same. The ratio of kerosine and disel in first and second vessels is 5 : 4 and 7 : 2 respectively. The mixture of second vessel is poured back to first vessel. Find the ratio of kerosine and disel in the first vessel. 
(a) 8 : 11
(b) 9 : 8
(c) 19 : 8
(d) 11 : 19
(e) 11 : 8

Solutions (1-5):

Q6. A chemist has 10 litre of a solution that is 10% sulphuric acid by volume. He wants to dilute the solution to 4% strength by adding water how many litre of water must be added?  
(a) 15
(b) 20
(c) 18
(d) 25
(e) 17

Q7. An alloy contains alluminium and zinc in the ratio 5 : 3 and another alloy contains alluminium and copper in the ratio 8 : 5. If equal weights of both the alloys are mixed together, then the weight of copper in the resulting alloy per kg will be 
(a) 26/5
(b) 5/26
(c) 7/31
(d) 31/7
(e) None of these

Q8.  Rishabh bought 25 kg of wheat at the rate of Rs. 6 per kg and 35 kg of wheat at the rate of Rs. 7 per kg. He mixed both type of wheat and sold the mixture at the rate of Rs. 6.75 per kg. What was his gain or loss in the transaction? 
(a) Rs. 16, gain
(b) Rs. 16, Loss
(c) Rs. 20, gain
(d) Rs. 10, gain
(e) Rs. 10, loss

Q9.  An alloy contains silver and lead in the ratio 5 : 8 and another alloy contains silver and lead in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of silver and lead in the resulting alloy is  
(a) 25 : 24
(b) 3 : 8
(c) 103 : 105
(d) 105 : 103
(e) 8 : 3

Q10. A manufacturer has 200 litres of Acid solution which has 15% acid content. How many litres of solution with 30% Acid content may be added so that Acid content in the resulting mixture will be more than 20% but less than 25%  
(a) More than 100 litres but less than 300 litres
(b) More than 120 litres but less than 400 litres
(c) More than 100 litres but less than 400 litres
(d) More than 120 litres but less than 300 litres
(e) None of these

Solutions (6-10):

Q11.  Some amount out of Rs. 6000 was lent out at 10% per annum and the rest amount @ at 20% per annum and thus in 4 years the total interest from both the amounts collected was Rs. 3400. What is the amount which was lent out at 10% per annum?  
(a) Rs. 2500
(b) Rs. 2800
(c) Rs. 3200
(d) Rs. 3500
(e) Rs. 3000

Q12. A jar was full of milk. A person used to draw out 20% of the milk from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of milk left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of the milk in the jar was: 
(a) 1.25 kg
(b) 1 kg
(c) 1.5 kg
(d) Cannot be determined
(e) None of these

Q13.  Rs. 69 were divided among 115 students so that each girl gets 50 paise less than each boy, and each boy received twice the paise as each girl received. The no. of girls in the class is: 
(a) 92
(b) 42
(c) 33
(d) 23
(e) 102

Q14. The average age of girls in a class is 16.66 years, while the average age of boys is 18.75 years. Thus, the average age of all the 40 students of the class is 17.5 years. If the difference between the no. of boys and girls is 8, then the no. of boys in the class is: 
(a) 12
(b) 16
(c) 18
(d) Data inadequate
(e) None of these

Q15. The ratio of expenditure and saving is 3 : 2. If the income increases by 15% and the savings increases by 6%, then by how much per cent should be expenditure increases ? 
(a) 25
(b) 21
(c) 12
(d) 24
(e) 27

Solutions (11-15):

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