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NDA Hard Level Test

Challenge yourself with the toughest available 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.

Probability
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Sequences
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Trigonometry
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Logarithms
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Mensuration
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Permutations
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Algebra
Easy 0%
Medium · locked—
Hard · locked—
75% needed in Easy to unlock Medium
Coordinate geometry
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 nameNDA Hard Level Test
Class / examEntrance Exams
Subject / paperNDA
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

513+ words · 8 topics covered

The NDA Hard Level Test mock test is a focused practice paper for Entrance Exams students who are preparing for NDA. 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 8 main topics: Probability, Sequences, Trigonometry, Logarithms, Mensuration, Permutations, Algebra, Coordinate geometry. 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 NDA 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 NDA 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.

ProbabilitySequencesTrigonometryLogarithmsMensurationPermutationsAlgebraCoordinate geometry

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
1ProbabilityEASY

The probability of getting a head when a fair coin is tossed once is:

A0
B1/4
C1/2Correct
D1
Correct answer

1/2

Step-by-step explanation

There are two equally likely outcomes (H, T), so P(H) = 1/2.

2SequencesEASY

The sum of the first 10 natural numbers is:

A45
B50
C55Correct
D100
Correct answer

55

Step-by-step explanation

Sum = n(n + 1)/2 = 10 × 11/2 = 55.

3TrigonometryEASY

sin²θ + cos²θ = ?

A0
B1Correct
C2
Dsin 2θ
Correct answer

1

Step-by-step explanation

This is the fundamental Pythagorean identity for any angle θ.

4LogarithmsEASY

log₁₀ 100 = ?

A1
B2Correct
C10
D100
Correct answer

2

Step-by-step explanation

10² = 100, so log₁₀ 100 = 2.

5MensurationEASY

The area of a circle of radius r is:

A2πr
Bπr²Correct
Cπd
D2πr²
Correct answer

πr²

Step-by-step explanation

Area = πr², while 2πr is the circumference.

Test-Specific FAQs

Is the NDA Hard Level Test mock test free?+

Yes. The NDA 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 NDA 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 NDA Hard Level Test test?+

The paper covers Probability, Sequences, Trigonometry, Logarithms, Mensuration. The questions are drawn from the NDA chapter bank and include a hard difficulty mix.

Can I attempt the NDA 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 NDA 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.

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