NEET / AIIMS · Practice Sheet 21

1. 1.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 9?

   Formula:Probability (two dice)

   $P = \dfrac{\text{favourable}}{\text{total}}$

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2. 2.

   Physics

   Find the density of an object with mass 88 g and volume 36 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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3. 3.

   Physics

   A body moving at 4 m/s accelerates at 8 m/s² for 8 s. Find the distance travelled.

   Formula:Equation of Motion (s = ut + ½at²)

   $s = ut + \tfrac{1}{2}at^{2}$

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4. 4.

   Biology

   Under a microscope, an object of actual size 3.6 mm appears 183.6 mm. Find the magnification.

   Formula:Microscope Magnification

   $M = \dfrac{\text{image size}}{\text{actual size}}$

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5. 5.

   Physics

   Calculate the potential energy of a 33 kg object at a height of 21 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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6. 6.

   Physics

   A body moving at 3 m/s accelerates at 8 m/s² for 3 s. Find the distance travelled.

   Formula:Equation of Motion (s = ut + ½at²)

   $s = ut + \tfrac{1}{2}at^{2}$

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7. 7.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 4?

   Formula:Probability (two dice)

   $P = \dfrac{\text{favourable}}{\text{total}}$

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8. 8.

   Chemistry

   Find the molarity of a solution containing 3 mol of solute in 2 L of solution.

   Formula:Molarity

   $M = \dfrac{n}{V}$

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9. 9.

   Physics

   Find the voltage across a 6 Ω resistor carrying a current of 12 A.

   Formula:Ohm's Law

   $V = IR$

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10. 10.

    Physics

    An object starts at 9 m/s and accelerates at 5 m/s² for 9 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

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11. 11.

    Biology

    In a monohybrid cross (Aa × Aa) producing 180 F₂ offspring, how many are expected to show the dominant and the recessive phenotype (3:1 ratio)?

    Formula:Monohybrid Cross (3:1)

    $\text{Dominant}:\text{Recessive} = 3:1$

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12. 12.

    Physics

    A constant force of 95 N moves an object 45 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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13. 13.

    Biology

    Under a microscope, an object of actual size 1.8 mm appears 115.2 mm. Find the magnification.

    Formula:Microscope Magnification

    $M = \dfrac{\text{image size}}{\text{actual size}}$

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14. 14.

    Physics

    Find the density of an object with mass 257 g and volume 20 cm³.

    Formula:Density

    $\rho = \dfrac{m}{V}$

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15. 15.

    Physics

    Find the voltage across a 19 Ω resistor carrying a current of 5 A.

    Formula:Ohm's Law

    $V = IR$

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16. 16.

    Chemistry

    Find the pressure of 1 mol of an ideal gas at 391 K in a 20 L container (R = 0.0821 L·atm·mol⁻¹·K⁻¹).

    Formula:Ideal Gas Law

    $PV = nRT$

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17. 17.

    Physics

    If 4,017 J of work is done in 18 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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18. 18.

    Chemistry

    How many moles are present in 146.25 g of sodium chloride (NaCl) (molar mass = 58.5 g/mol)?

    Formula:Number of Moles

    $n = \dfrac{m}{M}$

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19. 19.

    Physics

    Find the voltage across a 33 Ω resistor carrying a current of 8 A.

    Formula:Ohm's Law

    $V = IR$

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20. 20.

    Chemistry

    A solution is made by dissolving 25 g of solute in 126 g of solvent. Find the mass percentage of the solute.

    Formula:Mass Percentage

    $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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