Taayari
Learn from the reasoning, not an option letter

Entrance Exam Questions with Worked Solutions

A useful solution shows the concept, the steps, and the reason an answer is correct so you can solve a fresh question without memorizing the old one.

Prepared by the Taayari content team · Last reviewed 5 August 2026

What a good worked solution includes

For a numerical problem, the solution should identify known values, choose the relevant relation, substitute with units, simplify, and check whether the result is reasonable. For a concept question, it should name the principle and connect that principle to the correct option.

The goal is transfer: after reading the explanation, you should be able to solve a different question that uses the same idea. If you can only recognize the original answer, the review is incomplete.

Engineering solution sets

  • IOE Mathematics questions with algebra, calculus, vectors, and probability
  • Physics numerical solutions that retain units and sign conventions
  • Chemistry explanations that connect reactions to underlying principles
  • Shorter methods only after the full method is understood

Medical solution sets

  • CEE Biology answers tied to processes, structures, and inheritance
  • Physics solutions with formula selection and unit checks
  • Chemistry solutions that show equilibrium, trends, and calculation steps
  • Review of uncertain guesses as well as wrong answers

Use solutions actively

Hide the solution and attempt the question first. After reading it, close the page and reproduce the logic in your own words. Then solve a related fresh question. This avoids the false confidence that comes from recognizing an explanation while it is visible.

How to use Taayari for this goal

  1. Attempt first Write enough working to show where your reasoning begins.
  2. Find the first divergence Compare your process with the solution and locate the earliest incorrect step.
  3. Name the concept Attach the error to a chapter and principle, not only a question number.
  4. Explain it aloud State why the correct answer follows and why your old answer does not.
  5. Transfer the method Solve a fresh problem that uses the same concept.

Two representative worked examples

These examples show the answer and the reasoning. Use the same review pattern after every practice set: identify the concept, solve it, then explain why the answer is correct.

  1. A 2 kg object has a net acceleration of 3 m/s². What net force acts on it?

    Answer: 6 N

    Solution: Use Newton's second law, F = ma. Substituting m = 2 kg and a = 3 m/s² gives F = 2 × 3 = 6 kg·m/s², which is 6 N.

  2. A heterozygous tall plant (Tt) is crossed with a recessive plant (tt). What is the probability of an offspring with genotype tt?

    Answer: 1/2, or 50%

    Solution: The Tt parent produces T and t gametes equally, while the tt parent produces only t gametes. The equally likely offspring are Tt and tt, so one of the two outcomes is tt.

Frequently asked questions

Why are answer keys not enough?
They confirm the result but do not show whether the error came from knowledge, method, arithmetic, or interpretation.
Should I read solutions before trying a question?
Usually no. A real attempt gives the solution something useful to correct.
Can I memorize shortcut methods?
Use shortcuts after you understand their assumptions and can still solve the concept with a complete method.