model 10 percentage with allegations & mixture Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 11 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on percentage topic of quantitative aptitude

Questions : A vessel has 60 litres of solution of acid and water having 80% acid. How much water be added to make it a solution in which acid forms 60% ?

(a) None of these

(b) 48 litres

(c) 20 litres

(d) 36 litres

The correct answers to the above question in:

Answer: (c)

In 60 litres of solution,

Water = ${60×20}/100$ = 12 litres

On adding x litres of water,

${12 + x}/{60 + x}$× 100 = 40

60 + 5x = 120 + 2x

3x = 60 ⇒ x = 20 litres

Practice percentage (model 10 percentage with allegations & mixture) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more allegations mixture based Based Quantitative Aptitude Questions and Answers

Question : 1

1 litre of water is added to 5 litres of alcohol-water solution containing 40% alcohol strength. The strength of alcohol in the new solution will be

a) 33$1/3$%

b) 30%

c) 33%

d) 33$2/3$%

Answer: (a)

Alcohol in original solution = $40/100 × 5$ = 2 litres

Water in original solution = 3 litres

On adding 1 litre water, water becomes 4 litres.

Now, 6 litres of solution contains 2 litres of alcohol.

100 litres of solution contains = $2/6 × 100$

= $100/3 = 33{1}/3%$ alcohol.

Question : 2

In what ratio must a mixture of 30% alcohol strength be mixed with that of 50% alcohol strength so as to get a mixture of 45% alcohol strength ?

a) 3 : 1

b) 1 : 2

c) 1 : 3

d) 2 : 1

Answer: (c)

Let x litres of first mixture is mixed with y litres of the second mixture.

According to the question,

${x × 30 /100 + y × 50/100}/{x × 70/100 + y × 50/100} = 45/55$

${0.3x + 0.5y}/{0.7x + 0.5y} = 9/11$

6.3x + 4.5y = 3.3x + 5.5y

6.3x – 3.3x = 5.5y – 4.5y

3x = y ⇒ $x/y = 1 : 3$

Question : 3

An ore contains 25% of an alloy that has 90% iron. Other than this, in the remaining 75% of the ore, there is no iron. To obtain 60 kg of pure iron, the quantity of the ore needed (in kgs) is approximately :

a) 300

b) 250.57

c) 266.67

d) 275.23

Answer: (c)

In 4 kg of ore, iron = 0.9 kg.

Quantity of ore for 60 kg of iron

= ${60 × 4}/0.9$ = 266.67 kg

Question : 4

8 litres of water is added to 32 litres of a solution containing 20% of alcohol in water. What is the approximate concentration of alcohol in the solution now ?

a) 24%

b) 16%

c) 8%

d) 12%

Answer: (c)

In 32 litres of solution,

Alcohol = ${32 × 20}/100$ = 6.4 litres

Water = 32 – 6.4 = 25.6 litres

On adding 8 litres of water,

Required percent = $6.4/40 × 100$ = 16%

Question : 5

If 4 litres of water is evaporated on boiling from 12 litres of salt solution containing 7 percentage salt, the percentage of salt in the remaining solution is

a) 13%

b) 10.5%

c) 11.5%

d) 12%

Answer: (b)

In 12 litres salt solution,

Salt = ${7 × 12}/100 = 0.84$ units

Water = ${93 × 12}/100 = 11.16$ units

After evaporation,

Percentage of salt = $0.84/8 × 100 = 10.5$%

Question : 6

How much pure alcohol has to be added to 400 ml of a solution containing 15% of alcohol to change the concentration of alcohol in the mixture to 32% ?

a) 68 ml

b) 60 ml

c) 100 ml

d) 128 ml

Answer: (c)

Alcohol = $(15/100 × 400)$ml = 60 ml.

Water = 340 ml.

Let x ml of alcohol be added.

Then, ${60 + x}/{400 + x} × 100 = 32$

or ${60 + x}/{400 + x} = 32/100 = 8/25$

or 1500 + 25x = 3200 + 8x

or 17x = 1700

or x = 100 ml

Recently Added Subject & Categories For All Competitive Exams

Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024

Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam

17-May-2024 by Careericons

Continue Reading »

Syllogism Practice Questions Answers PDF - IBPS Clerk 2024

Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam

16-May-2024 by Careericons

Continue Reading »

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »