NSMQ2025 Preliminary Stage Sample Past Questions and Answers: SET 08.

Preamble: Displacement A given as 2i minus 3j, all in centimeters. Displacement B given as negative 2i plus j, all in centimeters. Find the net displacement given by;

1. A – 3B

Ans: (8i -3j) cm

2. 2B – A

Ans: (6i + 5j) cm

3. 2A + B

Ans: (2i – 5j) cm

Preamble: Find the equivalent capacitance of a pair of series capacitors with the given capacitance.

4. 00 nF and 15.0 nF.

Ans: 3.75 nF

5. 12 microfarad and 18 microfarads.

Ans: 7.2 microfarad.

6. 8 millifarad and 24 millifarad.

Ans: 6 millifarad.

Preamble: Classify the following hormones under protein hormone, steroid hormone, or amino acid derivative hormones.

7. Glucagon

Ans: Protein

8. Glucocorticoids

Ans: Steroid hormone

9. Insulin

Ans: protein

Preamble: Express the given vector in a bearing form

10. A = √3i + j

Ans: 2,060 degrees.

11. B = -√3i + j

Ans: 2,300 degrees.

12. C = √3i – j

Ans: 2,120 degrees.

13. A 25.4-gram alloy contains copper containing copper is heated to form 15.9 grams of copper (II) oxide. What percentage of copper is in the alloy? The molar mass of copper is 63.5 grams.

Ans: 50.0 percent

14. A 68.5-gram ore sample containing barium is treated and produces 23.3 grams of barium sulfate. What percentage of barium is present in the ore? Barium molecular weight is given as 137.

Ans: 20.0 percent.

15. A 12.5-gram sample containing chloride is dissolved and treated with silver nitrate solution, producing 28.7 grams of silver chloride. What percentage of chloride is in the sample?

Ans: 56.8 percent.

16. What name is given to the lower, narrow end of the female uterus?

Ans: The cervix

17. What is the term for species that are native to a particular area and not found elsewhere?

Ans: Endemic species

18. A sample contains 1.71 grams of aluminium sulfate. How many sulphur atoms are present?

Ans: 9.03 x 10²¹ atom.

19. Calculate the mass of 0.25 moles of butanone.

Ans: 18g

20. Identify the nuclear particle released when beryllium-9 reacts with an alpha particle to produce carbon-12.

Ans: Neutron. 

21. Find the greatest height attained by a projectile launched at 20 m/s in a direction that makes 30 degrees with the vertical.

Ans: 15m

22. A side of a square plate measures 5 cm. Find the pressure exerted on the plate by a 50 Newton force.

Ans: 2 x 10⁴Pa

23. Find the mass of an alloy whose specific latent heat of fusion is 400 kilojoules per kilogram, that is just melted by 160 kilojoules of heat.

Ans: 0.4kg

24. Find the equation of the normal to the curve y = 3x² – 7x + 5 at the point on the curve at which x = 1.

Ans: y = x

25. A and B are mutually exclusive events in a sample space S. Find the value of x given that the probability of A = x, the probability of B = 2x, probability of A union B = 3.

Ans: 1/4

26. Find the coordinates of the point P given as x, y, whose image is 5, 4 under the linear transformation T given as x, y, mapping onto 2x plus y, x minus y.

Ans: 3, -1

TRUE/FALSE.

Preamble: A, B, X, Y are real numbers.

1. If A^X = B^Y, then A = B and X = Y.

Ans: False

2. If A^B = A^C, then AB = AC.

Ans: True

3. If X^A = Y^A, then AX = AY.

Ans: True

Preamble: A rigid body undergoes translational motion.

4. The distance between two points in the body does not change as the body moves.

Ans: True

5. The position of the center of mass of the body does not change as the body moves.

Ans: False

6. The angle between two lines connecting a point in the body and two other points in the body does not change as the body moves.

Ans: True

7. When the upper side, that is the adaxial side of the petiole of a leaf, grows faster than the lower side, which is the abaxial side, the leaf curves upwards.

Ans: False

8. In etiolated dicot seedlings, the shoot apex is usually bent like a hook.

Ans: True

9. Ethylene enhances the senescence of leaves and flowers in plants.

Ans: True

10. The central atom in carbon dioxide is sp²

Ans: False

11. In propene, each carbon is sp²

Ans: False 

Preamble: If the sum of the interior angles of a polygon is;

12. Equal to the sum of its exterior angles, then it is a quadrilateral.

Ans: True

13. Seven straight angles, then it is an octagon.

Ans: False

14. Eight straight angles, then it is a decagon.

Ans: True

Source: Galmeek.com

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