NSMQ2024 1/8th Stage: Sample Past Questions and Answers: SET 01.

Preamble: Factorize completely the cubic expression.

1. X³ + 2x² – x -2

Ans: (x + 1)(x – 1)(x + 2)

2. X³ – 3x² – 4x + 12

Ans: (x + 2)(x – 2)(x – 3)

3. X³ + 3x² – 9x – 27

Ans: (x + 3)²(x – 3)

Preamble: Give the chemical formula of the product formed in the given metathesis reaction, assuming all reactions are okay.

4. The reaction of strontium chloride with zinc carbonate.

Ans: SrCO₃ and ZnCl₂

5. The reaction of copper 1 sulphide with barium sulfate.

Ans: Cu₂SO₄ and BaS

6. The reaction of potassium phosphate with magnesium nitrate.

Ans: KNO₃ and Mg₃(PO₄)₂.

Preamble: Two inductors of inductance L1 and L2 are connected in parallel. Find the equivalent inductance of the parallel inductor for the given values of L1 and L2.

7. L1 = 27 mH and L2 = 23 mH

Ans: 12 mH

8. L1 = 28 mH and L2 = 32 mH

Ans: 15 mH

9. L1 = 60 mH and L2 = 72 mH.

Ans: 13 mH

Preamble: Give the systematic or IUPAC name of the product formed when…

10. Butanoic acid reacts with methanol or methanol.

Ans: Methyl butanoate

11. Propanoic acid reacts with ethanol or ethanol.

Ans: Ethyl propanoate

12. Pentanoic acid reacts with 1-propanol

Ans: Propyl pentanoate.

Preamble: Give the name of the blood vessel in humans that performs the given function.

13. It carries deoxygenated blood away from the heart towards the lungs.

Ans: Pulmonary artery

14. It supplies the kidneys with oxygenated blood.

Ans: Renal artery.

15. It carries oxygenated blood out of the heart and to the rest of the body.

Ans: The aorta.

16. Find the speed of a 16-kilogram object at which its kinetic energy is 18 joules.

Ans: 1.5 ms^-1.

17. Find the speed of an object when its kinetic energy is 96 joules, if its speed is 4.3 meters per second, and when its kinetic energy is 24 joules.

Ans: 8.6 ms^-1.

18. Find the speed of a 3.0-kilogram object at which its kinetic energy is 54 joules.

Ans: 6.0 ms^-1.

19. Calculate the absolute reflective index of a medium of light waves of speed 2.5.

Ans: 1.2

20. If the gravitational potential energy of an object is 16 joules when it is 8.0 meters above ground, what is its gravitational potential energy when it is 16 meters above ground?

Ans: 32 joules

21. Calculate the mass of 15 cm³ of a substance of density 8.0 g/cm³.

Ans: 120 g

22. Upon heating to 350 Kelvin, the temperature of a gas quadruples while its volume increases by a factor of 6. Given that the initial pressure is 120 kPa, determine the final pressure of the gas.

Ans: 80 kPa

23. Calculate the percentage by mass of sulphur in tetraphosphorous decasulfide.

Ans: 72%

24. Determine the sum of the oxidation states of carbon in chloromethane and ethane.

Ans: -3

25. How many molecules of carbon dioxide are produced from one molecule of glucose?

Ans: 6

26. What name is given to the thin skeletal rods that support the extended parts of the fin of most bony fishes?

Ans: fin rays

27. What is the main constituent of the cell membrane bilayer?

Ans: phospholipids.

TRUE/FALSE

1. In the first quadrant, cos theta and sin theta are both positive.

Ans: True

2. In the third quadrant, tan theta and sin theta are negative.

Ans: False

3. In the second quadrant, tan theta and cos theta are both negative.

Ans: True

4. According to Dalton’s atomic theory, compounds are formed when atoms of an element combine in fixed, simple whole-number ratios.

Ans: False

5. According to Dalton’s atomic theory, isotopes are different forms of the same element with different masses.

Ans: False

6. According to Dalton’s atomic theory, neutral atoms of the same element have the same number of electrons as protons.

Ans: False

Preamble: The given plant type has stomata that open at night but close during the day.

Ans: False

Ans: False

Ans: False

10. A particle at rest is in mechanical equilibrium.

Ans: True

11. A moving particle is not in mechanical equilibrium.

Ans: False

12. A particle moving with constant acceleration is in mechanical equilibrium.

Ans: False

Preamble: A and B are vectors. If they are scalar products, A multiplying B equals 0, then A and B are vectors.

13. A equals 0 or B equals 0.

Ans: False

14. The angle between A and B is 0.

Ans: False

15. The angle between A and B is pi over 2 radians.

Ans: True

16. Cyclopropane is the simplest cyclic hydrocarbon.

Ans: True

17. Cyclopropane is a highly stable compound.

Ans: False

18. Cyclopropane exhibits high angular strain.

Ans: True

19. The pulmonary circulatory system circulates deoxygenated blood from the heart to the lungs via the pulmonary artery and returns it to the heart via the pulmonary vein.

Ans: True

20. The arteries divide into thin vessels called arterioles, which in turn divide into small arteries that form a network between the cells of the body.

Ans: True

21. The flow of blood along arteries, arterioles, and capillaries is not constant, but can be controlled depending upon the body’s requirements.

Ans: True

22. The heat capacity of an ideal gas depends on how the gas is heated.

Ans: True

23. If an ideal gas is heated at constant volume, all the heat supplied increases the internal energy of the gas.

Ans: True

24. If an ideal gas is heated at constant pressure, all the heat supplied increases the internal energy of the gas.

Ans: False

Source: Galmeek.com

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