NSMQ2025 Trier Contests Past Questions and Answers (fundamental, True/False, and Speed Race): SET 01.

FUNDAMENTA CONCEPTS.

Preamble: Name the type of cell junction the given description refers

1. Attach cells to their neighbours or the extracellular matrix, providing mechanical strength to tissues that experience mechanical stress.

Ans: Anchoring junction

2. Forms a barrier function in tissues by preventing molecules from leaking between cells.

Ans: Tight junction

3. Creates channels that allow small molecules, ions, and electrical signals to pass directly from one cell to another.

Ans: Gap Junction

Classify the given tissue as semipermeable membrane (S.P) or selectively permeable (S.L)

4. Phospholipid bilayer

Ans: Semipermeable

5. Egg membrane

Ans: selectively permeable

6. Plasma membrane

Ans: semipermeable

Preamble: Find p + q given that

7. 2 + √3 is a root of the equation ² + + = 0, where p and q.

Ans: -3

8. 3 + √2 is a root of the equation ² + + = 0, where p and q.

Ans: 1

9. 4 −  √5 is a root of the equation ²  + + = 0, where p and q.

Ans: 3

Preamble: Express y in terms of x, assuming θ is acute, given

10. x = sin θ, and y = cos 2θ

Ans: y = 1 – 2x²

11. x = tan θ, and y = sin 2θ

Ans: 2x / 1 + x²

12. x = cos θ, and y = cos 2θ

Ans: = –

13. Give the nuclide formed when phosphorus-32 undergoes a beta decay.

Ans: Sulphur – 32

14. Give the nuclide formed when nitrogen-12 undergoes a positron decay.

Ans: Carbon–12

15. Give the nuclide formed when Boron–6 undergoes a neutron capture.

Ans: Boron–7

16. The solubility of compound A is 18.0 gdm^-3 at 25 ⁰C. How much of compound A will be deposited if 600.0 cm³ solution containing 20.0 g at 60 ⁰C is allowed to cool to 25.0 ⁰C?

Ans: 10.2 g

17. The solubility of a compound B is 45 gdm^-3 at 25 ⁰C. How much of the compound will be deposited if 400 cm³ of a saturated solution of B at 90 ⁰C is cooled from 90 ⁰C to 30 ⁰C?

Ans: 18 g

18. The solubility of compound C at 30.0 ⁰C is 30.0 gdm^-3. If a 600.0 cm³ solution containing 24.4 g of 70 ⁰C is allowed to cool to 30.0 ⁰C, how much of compound C will crystallise out?

Ans: 6.40 g

Preamble: For the given application, state the type of electromagnetic wave used

19. Detection of fractures in bones

Ans: X-rays

20. For broadcasting purposes

Ans: Radio waves

21. Treatment of muscular strain

Ans: Infrared

22. Find the reactance of a 3.0 μF capacitor at a frequency of 5.0 kHz.

Ans: .

23. What is the reactance of a 4.0 μF capacitor at a frequency of 6.0 kHz?

Ans: .

24. Determine the reactance of a 5.0 μF capacitor at a frequency of 9.0 kHz.

Ans: .

TRUE / FALSE

Preamble: The given bone forms part of the pectoral girdle

1. Glenoid cavity

Ans: True

2. Sternum

Ans: False

3. Ilium

Ans: False

When the stomata of a leaf are open, the leaf is

4. absorbing oxygen

Ans: False

5. giving off water vapour

Ans: True

6. absorbing carbon dioxide

Ans: True

7. Enthalpy change is the heat change that takes place at constant pressure

Ans: True

8. Enthalpy changes with increasing pressure

Ans: False

9. Enthalpy changes for reactions that do not occur can be calculated.

Ans: False

10. Difluorine does not react with water.

Ans: False

11. Beryllium has a large atomic radius.

Ans: False

12. Sodium is the alkali element that reacts most violently with water.

Ans: False

13. The dimensional formula for angular momentum is ML²T^-2

Ans: True

14. The dimensional formula for torque is ML²T^-2

Ans: True

15. The dimensional formula for latent heat is L²T^-2

Ans: True

16. (x + 3) is a factor of (x² – 9)

Ans: True

17. (x² + 4) is a factor of (x⁴ – 16)

Ans: True

18. (x – 5) is a factor of (x³ + 125)

Ans: False

SPEED RACE

1. What is the name given to gold found around river beds and banks?

Ans: Alluvial Gold

2. Determine the mass of hydrogen present in 3.4 g of dodecane.

Ans: 2.4 g

3. Name the product(s) formed when aluminium reacts with water

Ans: No product (No reaction)

4. A wire has dimensions, length, l = 6±0.06 cm, radius, r = 0.5±0.005 cm and mass, m = ±0.003 cm. What is the maximum percentage error in the density of the wire?

Ans: 4%

5. A body of mass, m = 3.513 kg, is moving along the x-axis with a speed of 5.00 m/s. what is the magnitude of its momentum recorded?

Ans: 17.6 kg m/s

6. What is the temperature of 35.00 ⁰C on the Kelvin scale?

Ans: 308.1 K

7. Determine the number of ways of distributing 8 identical balls in 3 distinct boxes, so that none of the boxes is empty.

Ans: 21

8. If a parallelogram has vertices A (1,2), B (2,6), C (5,7) and D (a, b). Find a and b

Ans: a = 2, b = 3            [do not accept (2,3)]

9. If a quadrilateral, PQRS, has its diagonals along the lines x + 3y =4 and 6x – 2y = 7. What type of quadrilateral is PQRS?

Ans: Rhombus or kite, since the diagonals are perpendicular, it’s a kite or rhombus

10. In mammals, which blood vessel would normally carry the largest amount of urea?

Ans: Hepatic vein

11. What is the name given to the event whereby the dominant and recessive alleles express themselves together?

Ans: Codominance

12. Why do plants die when water is excessively?

Ans: Over-watering drowns the plant and blocks the air pockets. Thus, the roots do not get enough air to breathe.

Source: Galmeek.com

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