NEET / AIIMS · Practice Sheet 29

1. 1.

   Quantitative Aptitude

   A vehicle covers 344 km in 4 hours. Find its average speed.

   Formula:Speed, Distance & Time

   $\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

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2. 2.

   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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3. 3.

   Chemistry

   27 mL of a 2 M solution is diluted to 312 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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4. 4.

   Biology

   Calculate the BMI of a person weighing 46 kg with height 1.79 m.

   Formula:Body Mass Index

   $BMI = \dfrac{m}{h^{2}}$

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5. 5.

   Physics

   A force of 899 N acts on an area of 29 m². Find the pressure.

   Formula:Pressure

   $P = \dfrac{F}{A}$

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6. 6.

   Physics

   Calculate the potential energy of a 29 kg object at a height of 32 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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7. 7.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.3. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

   $p + q = 1,\;\; 2pq = \text{carriers}$

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8. 8.

   Chemistry

   Find the molarity of a solution containing 1 mol of solute in 1 L of solution.

   Formula:Molarity

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

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9. 9.

   Physics

   Calculate the potential energy of a 18 kg object at a height of 31 m (g = 9.8 m/s²).

   Formula:Gravitational Potential Energy

   $PE = mgh$

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10. 10.

    Physics

    A force of 113 N acts on an area of 34 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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11. 11.

    Physics

    A body moving at 15 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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12. 12.

    Physics

    Find the force required to accelerate a 42 kg mass at 16 m/s².

    Formula:Newton's Second Law (F = ma)

    $F = ma$

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13. 13.

    Physics

    Find the momentum of a 19 kg body moving at 32 m/s.

    Formula:Linear Momentum

    $p = mv$

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14. 14.

    Biology

    Under a microscope, an object of actual size 2.3 mm appears 110.4 mm. Find the magnification.

    Formula:Microscope Magnification

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

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15. 15.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 6?

    Formula:Probability (two dice)

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

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16. 16.

    Physics

    Calculate the potential energy of a 10 kg object at a height of 49 m (g = 9.8 m/s²).

    Formula:Gravitational Potential Energy

    $PE = mgh$

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17. 17.

    Physics

    An object starts at 2 m/s and accelerates at 3 m/s² for 9 s. Find its final velocity.

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

    $v = u + at$

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18. 18.

    Physics

    A constant force of 149 N moves an object 15 m in the direction of the force. Calculate the work done.

    Formula:Work Done

    $W = F\,d$

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19. 19.

    Physics

    Find the kinetic energy of a 8 kg object moving at 13 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

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20. 20.

    Physics

    Find the density of an object with mass 153 g and volume 48 cm³.

    Formula:Density

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

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