NEET / AIIMS · Practice Sheet 7

1. 1.

   Quantitative Aptitude

   Two fair dice are rolled. What is the probability that the sum of the numbers is 10?

   Formula:Probability (two dice)

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

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2. 2.

   Chemistry

   How many moles are present in 90 g of glucose (C₆H₁₂O₆) (molar mass = 180 g/mol)?

   Formula:Number of Moles

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

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3. 3.

   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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4. 4.

   Chemistry

   Find the molarity of a solution containing 2 mol of solute in 0.5 L of solution.

   Formula:Molarity

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

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5. 5.

   Physics

   If 3,181 J of work is done in 36 s, find the power.

   Formula:Power

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

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6. 6.

   Physics

   Find the force required to accelerate a 21 kg mass at 14 m/s².

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

   $F = ma$

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7. 7.

   Physics

   A body moving at 13 m/s accelerates at 3 m/s² for 4 s. Find the distance travelled.

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

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

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8. 8.

   Chemistry

   A solution is made by dissolving 22 g of solute in 104 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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9. 9.

   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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10. 10.

    Biology

    In a monohybrid cross (Aa × Aa) producing 196 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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11. 11.

    Physics

    An object starts at 5 m/s and accelerates at 7 m/s² for 4 s. Find its final velocity.

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

    $v = u + at$

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12. 12.

    Physics

    Find the density of an object with mass 230 g and volume 29 cm³.

    Formula:Density

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

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13. 13.

    Biology

    Calculate the BMI of a person weighing 58 kg with height 1.75 m.

    Formula:Body Mass Index

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

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14. 14.

    Chemistry

    Find the pH of a solution with [H⁺] = 1×10⁻4 mol/L.

    Formula:pH of a Solution

    $pH = -\log_{10}[H^{+}]$

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15. 15.

    Physics

    Find the electrical power when 189 V drives a current of 16 A.

    Formula:Electrical Power

    $P = VI$

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16. 16.

    Physics

    An object starts at 1 m/s and accelerates at 3 m/s² for 6 s. Find its final velocity.

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

    $v = u + at$

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17. 17.

    Physics

    Find the electrical power when 37 V drives a current of 4 A.

    Formula:Electrical Power

    $P = VI$

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18. 18.

    Quantitative Aptitude

    Two fair dice are rolled. What is the probability that the sum of the numbers is 8?

    Formula:Probability (two dice)

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

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19. 19.

    Biology

    Under a microscope, an object of actual size 4.2 mm appears 357 mm. Find the magnification.

    Formula:Microscope Magnification

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

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20. 20.

    Chemistry

    Find the molarity of a solution containing 1.5 mol of solute in 2 L of solution.

    Formula:Molarity

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

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