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AP EAMCET · Previous year papers · 2021

AP EAMCET 2021 previous year paper practice · PYQ-pattern set

15 PYQ-pattern questions modelled on the 2021 paper (which had 160) · 180 min

Every question here is freshly worded in the pattern of the 2021 paper — same topics, style and difficulty — not the original questions, which Shishya does not reproduce.

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15 PYQ-pattern questions modelled on the 2021 paper (which had 160) · instant scoring · topic-wise analysis. Sign up with Google, free, to attempt and track your progress.

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AP EAMCET 2021 PYQ-pattern questions

Showing 10 of the 15 PYQ-pattern questions in this set — freshly worded in that year's pattern, not the original questions. Answers and solutions open under each question.

  1. Q1 · Binomial Theorem

    The middle term in the expansion of (x - 2y)⁶ is

    • A. -160x³y³
    • B. -320x³y³
    • C. 160x³y³
    • D. 320x³y³
    Answer and solution

    Answer: A

    For (x-2y)^6, n=6, middle term is 4th term (r=3): C(6,3) x^3 (-2y)^3 = 20 · x^3 · (-8y^3) = -160 x^3 y^3.

  2. Q2 · Probability

    Two dice are thrown simultaneously. The probability that the sum of the numbers on the two dice is at least 10 is

    • A. 1/6
    • B. 1/9
    • C. 5/36
    • D. 1/12
    Answer and solution

    Answer: A

    Total outcomes = 36. Favorable outcomes (sum ≥ 10): (4,6), (5,5), (5,6), (6,4), (6,5), (6,6) = 6. Probability = 6/36 = 1/6.

  3. Q3 · Direction Cosines and Direction Ratios

    If a line makes angles π/4, π/3 and θ (where 0 < θ < π/2) with the positive directions of X, Y and Z axes respectively, then the value of θ is

    • A. π/6
    • B. π/4
    • C. π/3
    • D. 5π/12
    Answer and solution

    Answer: C

    Direction cosines satisfy cos²α+cos²β+cos²γ=1. With α=π/4, cos²=1/2; β=π/3, cos²=1/4. So cos²θ=1-3/4=1/4, cosθ=1/2, giving θ=π/3.

  4. Q4 · Ellipse

    The equation of the ellipse with foci on the x-axis, centre at origin, major axis of length 10 and minor axis of length 8 is

    • A. x²/25 + y²/16 = 1
    • B. x²/16 + y²/25 = 1
    • C. x²/100 + y²/64 = 1
    • D. x²/50 + y²/32 = 1
    Answer and solution

    Answer: A

    Major axis length 2a = 10 gives a = 5, and minor axis length 2b = 8 gives b = 4. Since foci are on x-axis, the equation is x²/a² + y²/b² = 1, which is x²/25 + y²/16 = 1.

  5. Q5 · Definite Integration

    The value of ∫₀^(π/4) sec²(x) dx is:

    • A. 0
    • B. 1
    • C. π/4
    • D. √2
    Answer and solution

    Answer: B

    ∫ sec²(x) dx = tan(x). Evaluating from 0 to π/4: tan(π/4) - tan(0) = 1 - 0 = 1.

  6. Q6 · Units and Measurements

    In a system where unit of length is 5 m and unit of time is 4 s, the unit of force will be equivalent to:

    • A. 0.3125 N
    • B. 1.25 N
    • C. 3.2 N
    • D. 80 N
    Answer and solution

    Answer: A

    Force has dimension [MLT⁻²]. If L' = 5L and T' = 4T, then F' = M'L'T'⁻² = M(5L)(4T)⁻² = (5/16)MLT⁻² = (5/16)F. Thus 1 new unit = 5/16 N = 0.3125 N.

  7. Q7 · System of Particles and Rotational Motion

    A uniform disc of radius 0.5 m and mass 10 kg is rotating about an axis passing through its center and perpendicular to its plane with an angular velocity of 6 rad/s. What is its rotational kinetic energy?

    • A. 22.5 J
    • B. 30 J
    • C. 45 J
    • D. 60 J
    Answer and solution

    Answer: A

    Moment of inertia I = ½MR² = ½(10)(0.5)² = 1.25 kg·m². Rotational KE = ½Iω² = ½(1.25)(6)² = 22.5 J.

  8. Q8 · Work, Energy and Power

    A machine lifts a load of 500 kg to a height of 20 m in 25 seconds. What is the power developed by the machine? (Take g = 10 m/s²)

    • A. 2 kW
    • B. 4 kW
    • C. 5 kW
    • D. 10 kW
    Answer and solution

    Answer: B

    Work done W = mgh = 500×10×20 = 100000 J. Power P = W/t = 100000/25 = 4000 W = 4 kW.

  9. Q9 · Waves

    A tuning fork of frequency 512 Hz is used to produce resonance in a resonance tube experiment. The first resonance is observed at 16.5 cm and the second at 50.5 cm. The velocity of sound in air is

    • A. 330 m/s
    • B. 340 m/s
    • C. 348 m/s
    • D. 356 m/s
    Answer and solution

    Answer: C

    The distance between first and second resonance = λ/2 = (50.5 - 16.5) = 34 cm. So λ = 68 cm = 0.68 m. Velocity v = fλ = 512 × 0.68 = 348.16 m/s ≈ 348 m/s.

  10. Q10 · Thermodynamics

    In a Carnot engine, the temperature of the source is 400 K and efficiency is 40%. To increase the efficiency to 50%, keeping the sink temperature constant, the source temperature should be

    • A. 450 K
    • B. 480 K
    • C. 500 K
    • D. 520 K
    Answer and solution

    Answer: B

    Efficiency η = 1 - T₂/T₁. For η = 0.4, we have 0.4 = 1 - T₂/400, giving T₂ = 240 K. For η = 0.5, we need 0.5 = 1 - 240/T₁', so T₁' = 240/0.5 = 480 K.

Breakdown by subject

  • Mathematics

    5 questions

  • Physics

    8 questions

  • Chemistry

    2 questions

AP EAMCET 2021 previous year paper — frequently asked questions

Where can I solve the AP EAMCET 2021 previous year paper (PYQ) free online?
At https://shishya.in/exams/AP_EAMCET/pyq/2021 you can solve AP EAMCET 15 PYQ-pattern questions modelled on the 2021 paper free. Shishya does not reproduce the original paper: every question is freshly worded in that year's pattern — same topics, style and difficulty, new wording and numbers, and this set holds 15 questions, not the whole paper. They run as a timed mock with instant scoring, step-by-step solutions and topic-wise weak-area analysis. No fee and no coaching enrolment needed.
Are these the actual AP EAMCET 2021 paper questions?
No. They are PYQ-pattern questions modelled on the AP EAMCET 2021 paper — freshly worded practice questions in the same pattern, not the original questions, which Shishya does not reproduce. This set holds 15 questions.
Do these AP EAMCET 2021 pattern questions come with solutions and analysis?
Yes — every question carries a worked solution, and on submitting you get an instant score with a topic-wise breakdown showing exactly which areas to revise. Wrong answers are auto-collected into a free Mistake Notebook for one-tap re-practice until cleared.
Are previous year papers enough to crack AP EAMCET?
Previous-year papers are the best signal of what the exam actually tests, but they work best with targeted practice and a plan. On Shishya (all free): solve PYQ-pattern sets year-wise, drill weak topics via the Mistake Notebook, follow a day-by-day plan from the Personal Coach at https://shishya.in/coach and sit the Sunday All-India Live Test at https://shishya.in/live-test to see where you stand nationally.