mocktest.msctutor.in — free tests, lessons and AI help for every student.
mocktest.msctutor.inSign In
FREELevel-wiseHardEnglish

Mixtures and Alligation — Hard Level Test

Hard level · 20 questions

20
Questions
20 min
Duration
20
Max marks
None
Negative marking
Ready to begin?

🔒 75% in Medium needed to unlock Hard. Your best score in the previous level is 0%.

Level unlock progress

Login to save progress

Mixed and Easy are open to everyone. Score at least 75% in Easy to unlock Medium, then 75% in Medium to unlock Hard.

Mixture Basics
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Alligation Rule
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Ratio of Mixing
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Cost Price of Mixture
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Selling Price of Mixture
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Replacing Mixtures
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Milk and Water
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Three-Component Mixtures
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Alligation Word Problems
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Concentration and Percentage
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium

Test Overview & Exam Pattern

A quick look at the paper structure, marking scheme and mode before you start.

Test nameMixtures and Alligation — Hard Level Test
Class / examMental Math
Subject / paperMental Math
Test seriesLevel-wise
DifficultyHard
Total questions20 MCQs
Time duration20 min
Positive marking+1 per correct answer
Negative markingNone
LanguageEnglish
ModeFree online test with instant result

Topic & Syllabus Coverage

540+ words · 10 topics covered

The Mixtures and Alligation — Hard Level Test mock test is a focused practice paper for Mental Math students who are preparing for Mental Math. It follows the Level-wise format and uses a hard difficulty mix, so a student can practise the same style of questions that appears in school tests, scholarship exams and competitive entrance papers. The paper contains 20 questions and runs for 20 min. Each correct answer adds 1 mark and there is no negative marking.

The syllabus coverage is built around 10 main topics: Mixture Basics, Alligation Rule, Ratio of Mixing, Cost Price of Mixture, Selling Price of Mixture, Replacing Mixtures, Milk and Water, Three-Component Mixtures, Alligation Word Problems, Concentration and Percentage. Every question is written to test understanding rather than simple recall. Definitions, formulae, units, diagrams, examples and common exceptions are combined so that the student has to read the question carefully, choose the correct concept and apply it in a slightly new situation. This is the same skill that a real exam expects, where two options may look similar and only one satisfies every condition in the question.

A good way to use this paper is to revise the chapter first, then attempt the test in one sitting without notes. The 20 min limit is deliberately short enough to build speed but long enough to reward careful reading. Students should keep a rough sheet for calculations, mark doubtful questions for review and avoid spending too long on a single item. After submission, the detailed solutions should be read even for correct answers, because the explanation often shows a faster method or points out a trap that can appear in another form later.

The topic list is also a revision checklist. If a topic feels unfamiliar, go back to the textbook, revise the formula or definition, and then attempt the same test again after a day or two. Repeated practice on Mental Math helps students recognise the wording used by examiners, improves calculation speed and reduces careless mistakes. For formula-based questions, write the formula before substituting values; for concept-based questions, underline the limiting words such as "not", "always", "only" and "except"; for data or diagram questions, read the labels and units before choosing an option.

This page is public and does not require a login. Five sample questions with the correct answer and a detailed explanation are shown below so that students, parents and teachers can judge the quality of the paper before starting. A guest can also attempt the full timed test without creating an account. Guest attempts are intentionally kept only in the browser and are not added to a database scoreboard. Students who sign in get a saved scoreboard, topic-wise analysis, attempt history and recommendations for the next test.

The final revision plan is simple: complete the chapter, read the formulae and key definitions, attempt this Mixtures and Alligation — Hard Level Test paper, review every explanation, note the weak topics and repeat a mixed or level-wise test after revision. Use the score, accuracy and time report to decide whether the next step should be more concept revision, more speed practice or a full-length paper. This cycle turns a single mock test into a complete learning session instead of a one-time score.

Mixture BasicsAlligation RuleRatio of MixingCost Price of MixtureSelling Price of MixtureReplacing MixturesMilk and WaterThree-Component MixturesAlligation Word ProblemsConcentration and Percentage

5 Free Sample Questions with Step-by-Step Solutions

These are real questions from this paper. The correct answer and detailed explanation are shown openly so you can check the quality before starting the full test.

Free · no login
1Mixture BasicsHARD

A mixture contains 7 litres of milk and 5 litres of water. What fraction of the mixture is water?

A7/12
B7/5
C5/7
D5/12Correct
Correct answer

5/12

Step-by-step explanation

Total = 7 + 5 = 12 litres. Water fraction = 5/12.

2Mixture BasicsHARD

A mixture contains 15 kg of rice at 40 rupees per kg and 25 kg at 60 rupees per kg. Find the total cost.

A2,000
B2,200
C2,300
D2,100Correct
Correct answer

2,100

Step-by-step explanation

Cost = 15 x 40 + 25 x 60 = 600 + 1,500 = 2,100 rupees.

3Alligation RuleHARD

A cheaper item costs 24 rupees and a dearer item costs 36 rupees. The mean price is 30 rupees. Find the ratio of cheaper to dearer quantity.

A2:3
B1:1Correct
C3:2
D1:2
Correct answer

1:1

Step-by-step explanation

Alligation ratio = (36 - 30) : (30 - 24) = 6 : 6 = 1 : 1.

4Alligation RuleHARD

A cheaper item costs 40 rupees and a dearer item costs 60 rupees. The mean price is 52 rupees. Find the ratio of cheaper to dearer quantity.

A3:2
B2:3Correct
C2:5
D3:5
Correct answer

2:3

Step-by-step explanation

Alligation ratio = (60 - 52) : (52 - 40) = 8 : 12 = 2 : 3.

5Ratio of MixingHARD

In what ratio should rice at 54 rupees per kg be mixed with rice at 90 rupees per kg to get a mixture at 78 rupees per kg?

A2:1
B1:3
C1:2Correct
D3:1
Correct answer

1:2

Step-by-step explanation

Alligation ratio = (90 - 78) : (78 - 54) = 12 : 24 = 1 : 2.

Test-Specific FAQs

Is the Mixtures and Alligation — Hard Level Test mock test free?+

Yes. The Mixtures and Alligation — Hard Level Test mock test is free to attempt. You can start it without paying and read the detailed solutions after submission.

How many questions and how much time does Mixtures and Alligation — Hard Level Test have?+

The timed paper has 20 questions and a 20 min limit. Each correct answer gives 1 mark, and there is no negative marking.

Which topics are covered in the Mixtures and Alligation — Hard Level Test test?+

The paper covers Mixture Basics, Alligation Rule, Ratio of Mixing, Cost Price of Mixture, Selling Price of Mixture. The questions are drawn from the Mental Math chapter bank and include a hard difficulty mix.

Can I attempt the Mixtures and Alligation — Hard Level Test test without login?+

Yes. Guests can start the full timed test without an account. Guest attempts stay only in the browser and are not saved to the scoreboard. Sign in if you want your result, topic analysis and attempt history to be saved.

Are solutions and explanations available for Mixtures and Alligation — Hard Level Test?+

Yes. Five sample questions with correct answers and detailed explanations are shown on this page. After submitting the full test, signed-in students can open the complete solutions page and review every question.

Start Full Timed Mock Test

Attempt the complete 20-question paper with a 20 min timer, instant score and detailed solutions. Sign in to save your scoreboard, or continue as a guest without saving data.

🔒 75% in Medium needed to unlock Hard

📋Instructions

  1. 1This test contains 20 questions and the total duration is 20 min.
  2. 2Each question carries 1 marks. There is no negative marking.
  3. 3The timer is displayed at the top of the screen. It starts as soon as you click Start Test and cannot be paused.
  4. 4Use Save & Next to save your answer and move to the next question. Save & Previous saves your answer and moves back.
  5. 5Use Clear Response to remove your selected answer for the current question.
  6. 6Use Mark for Review if you want to come back to a question later. Marked questions are highlighted in the palette.
  7. 7The question palette on the right shows the status of every question — answered, not answered, not visited and marked for review.
  8. 8You can navigate to any question directly by clicking its number in the palette.
  9. 9When the timer reaches zero, the test is submitted automatically with the answers saved so far.
  10. 10The test will be submitted automatically if you close the browser and the time expires. Do not refresh the page during the test.
  11. 11All the best! Read every question carefully before answering.

⚠️ Once you start the test, the timer cannot be paused. Make sure you have a stable internet connection and enough time to complete the test.

Question palette legend

Answered
You have saved an answer for this question.
Not answered
You visited the question but did not save an answer.
Not visited
You have not opened this question yet.
Marked for review
Flagged to revisit before submitting.

Discussion (0)

Ask a doubt, share a shortcut or help another student. Keep the discussion respectful and on-topic.

0 messages

Sign in with your mobile or Google account to join the discussion.

Sign in to comment

No comments yet. Start the discussion!

This page — Comments & Help

Only comments posted for this page appear here. All pages together live in the Discussion Hub.

0 comments (this page)All Discussions →
Post a comment or question
Rating
Loading comments…