NDST Question Paper ( Mock Test ) With Answers for All Subjects

The NDST (National Defense Science and Technology) exam is designed to assess students’ knowledge in various subjects. This guide offers a comprehensive collection of questions and answers across all subjects covered in the NDST exam, helping students prepare effectively by understanding the type of questions that appear in the exam.

NDST Question Paper and Answers

Physics

Question
What is the acceleration due to gravity on Earth?

Answer
The acceleration is 9.8 m/s29.8 \, m/s^29.8m/s2.

Question
State Newton’s third law of motion.

Answer
For every action, there is an equal and opposite reaction.

Question
What is the formula for calculating force?

Answer
Force is calculated as $F=ma$, where $m$ is mass and $a$ is acceleration.

Question
What is the unit of electrical resistance?

Answer
The unit is Ohm (Ω).

Question
Define kinetic energy.

Answer
Kinetic energy is the energy of an object due to its motion.

Question
What is the speed of light in a vacuum?

Answer
The speed of light is 3×108 m/s3 \times 10^8 \, m/s3×108m/s.

Question
How does the pressure of a gas change with temperature?

Answer
The pressure increases as the temperature increases, provided the volume is constant.

Question
State the law of conservation of energy.

Answer
Energy cannot be created or destroyed; it can only be transformed from one form to another.

Question
What is the relationship between wavelength and frequency?

Answer
Wavelength and frequency are inversely proportional to each other.

Question
Define momentum.

Answer
Momentum is the product of an object’s mass and its velocity.

Question
What is the formula for potential energy?

Answer
Potential energy is $PE=mgh$, where $m$ is mass, $g$ is gravitational acceleration, and $h$ is height.

Question
What is Ohm’s law?

Answer
Ohm’s law states that $V=IR$, where $V$ is voltage, $I$ is current, and $R$ is resistance.

Question
What happens when light passes through a prism?

Answer
The light is dispersed into its constituent colors, forming a spectrum.

Question
What is the first law of thermodynamics?

Answer
The first law states that the total energy in a system is conserved.

Question
How is pressure related to force and area?

Answer
Pressure is force divided by area: P=FAP = \frac{F}{A}P=AF​.

Question
What is the unit of power?

Answer
The unit of power is Watt (W).

Question
What is the Doppler effect?

Answer
The Doppler effect is the change in frequency of a wave in relation to an observer moving relative to the source of the wave.

Question
What is refraction?

Answer
Refraction is the bending of light as it passes from one medium to another with a different density.

Question
What is the SI unit of energy?

Answer
The SI unit of energy is the joule (J).

Question
What is a black hole?

Answer
A black hole is a region of space where the gravitational pull is so strong that nothing, not even light, can escape from it.

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Chemistry

Question
What is the atomic number of carbon?

Answer
The atomic number of carbon is 6.

Question
Define a covalent bond.

Answer
A covalent bond is a chemical bond that involves the sharing of electron pairs between atoms.

Question
What is the chemical formula for water?

Answer
The chemical formula for water is H2OH_2OH2​O.

Question
What is the pH of a neutral solution?

Answer
The pH of a neutral solution is 7.

Question
What is the periodic table?

Answer
The periodic table is a tabular arrangement of the chemical elements, ordered by their atomic number, electron configuration, and recurring chemical properties.

Question
Define an acid.

Answer
An acid is a substance that donates protons (H+ ions) and has a pH of less than 7.

Question
What is the molecular weight of sulfuric acid?

Answer
The molecular weight of sulfuric acid (H2SO4) is 98 g/mol.

Question
What is a catalyst?

Answer
A catalyst is a substance that speeds up a chemical reaction without being consumed.

Question
State the law of conservation of mass.

Answer
The law of conservation of mass states that mass cannot be created or destroyed in a chemical reaction.

Question
What is the valency of oxygen?

Answer
The valency of oxygen is 2.

Question
What are noble gases?

Answer
Noble gases are inert elements in group 18 of the periodic table, such as helium, neon, and argon.

Question
What is an isotope?

Answer
An isotope is an atom of the same element with the same number of protons but a different number of neutrons.

Question
What is the chemical formula for sodium chloride?

Answer
The chemical formula for sodium chloride is $NaCl$.

Question
What is an electrolyte?

Answer
An electrolyte is a substance that produces ions when dissolved in water, allowing the solution to conduct electricity.

Question
What is a base?

Answer
A base is a substance that accepts protons (H+ ions) and has a pH greater than 7.

Question
What is the empirical formula?

Answer
The empirical formula is the simplest whole-number ratio of atoms in a compound.

Question
What is Avogadro’s number?

Answer
Avogadro’s number is 6.022×10236.022 \times 10^{23}6.022×1023, the number of atoms or molecules in one mole of a substance.

Question
What is the molar mass of carbon dioxide?

Answer
The molar mass of carbon dioxide (CO2) is 44 g/mol.

Question
What is the common name for CH4CH_4CH4​?

Answer
The common name for CH4CH_4CH4​ is methane.

Question
What is the process of electrolysis?

Answer
Electrolysis is the process of using an electric current to drive a non-spontaneous chemical reaction.

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Mathematics

Question
What is the value of $x$ if $2x+3=11$?

Answer
The value of $x$ is $4$.

Question
If the area of a circle is 154 square units, what is the radius?

Answer
The radius is 7 units.

Question
Simplify (x2+2x−3)÷(x−1)(x^2 + 2x – 3) \div (x – 1)(x2+2x−3)÷(x−1).

Answer
The simplified form is $x+3$.

Question
Find the derivative of f(x)=3×2+5xf(x) = 3x^2 + 5xf(x)=3x2+5x.

Answer
The derivative is f′(x)=6x+5f'(x) = 6x + 5f′(x)=6x+5.

Question
If the sum of three consecutive numbers is 72, what are the numbers?

Answer
The numbers are 23, 24, and 25.

Question
Solve 3×2−12x+9=03x^2 – 12x + 9 = 03x2−12x+9=0.

Answer
The solutions are $x=1$.

Question
What is the volume of a cube with side length 4 units?

Answer
The volume is 64 cubic units.

Question
Find the integral of ∫5x3dx\int 5x^3 dx∫5x3dx.

Answer
The integral is 5×44+C\frac{5x^4}{4} + C45x4​+C.

Question
Solve for $y$ in $2y+5=17$.

Answer
$y=6$.

Question
What is the slope of a line passing through the points (2, 3) and (4, 7)?

Answer
The slope is $2$.

Question
Find the area of a triangle with base 10 units and height 8 units.

Answer
The area is 40 square units.

Question
If $a=5$ and $b=12$, what is the hypotenuse of the triangle?

Answer
The hypotenuse is 13 units.

Question
Simplify (x2−1)(x+1)\frac{(x^2 – 1)}{(x + 1)}(x+1)(x2−1)​.

Answer
The simplified form is $x-1$.

Question
What is the solution to $5x+3=2x+15$?

Answer
$x=4$.

Question
Find the probability of rolling a 4 on a standard die.

Answer
The probability is 16\frac{1}{6}61​.

Question
Solve $2x+3y=6$ for $y$.

Answer
y=6−2x3y = \frac{6 – 2x}{3}y=36−2x​.

Question
What is the midpoint of the line segment connecting (3, 7) and (9, 11)?

Answer
The midpoint is $(6,9)$.

Question
Evaluate the determinant of the matrix [1234]\begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix}[13​24​].

Answer
The determinant is $-2$.

Question
What is the sum of the first 20 terms of the arithmetic sequence 2, 4, 6, 8…?

Answer
The sum is 420.

Question
If f(x)=2×2+3xf(x) = 2x^2 + 3xf(x)=2x2+3x, find $f(2)$.

Answer
$f(2)=14$.

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Studying the NDST question papers can help students develop a better understanding of the subjects and improve their exam performance. The comprehensive questions and answers provided here cover all key areas that are essential for success in the NDST exam, making it easier to prepare effectively