Engineering & Architecture Admissions
Q. What is the sum of the coefficients in the expansion of (x + 1)^7?
Solution
The sum of the coefficients is found by substituting x = 1, giving (1 + 1)^7 = 2^7 = 128.
Correct Answer: A — 128
Q. What is the sum of the first 5 natural numbers?
Solution
Sum = 1 + 2 + 3 + 4 + 5 = 15.
Correct Answer: B — 15
Q. What is the sum of the roots of the equation 2x^2 - 3x + 1 = 0?
Solution
The sum of the roots is given by -b/a = 3/2.
Correct Answer: B — 3/2
Q. What is the sum of the roots of the equation 2x^2 - 4x + 1 = 0?
Solution
The sum of the roots is given by -b/a = 4/2 = 2.
Correct Answer: B — 1
Q. What is the sum of the roots of the equation x^2 - 4x + 3 = 0?
Solution
The sum of the roots is given by -b/a = 4/1 = 4.
Correct Answer: D — 4
Q. What is the sum of the roots of the quadratic equation f(x) = x^2 - 5x + 6?
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer: A — 5
Q. What is the sum of the roots of the quadratic equation x^2 - 4x + 3 = 0?
Solution
The sum of the roots is given by -b/a = 4/1 = 4.
Correct Answer: D — 4
Q. What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?
Solution
The sum of the roots is given by -b/a = 5/1 = 5.
Correct Answer: A — 5
Q. What is the term for the accumulation of harmful substances in the food chain?
-
A.
Biomagnification
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B.
Bioaccumulation
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C.
Eutrophication
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D.
Sustainability
Solution
Biomagnification refers to the increasing concentration of harmful substances in organisms at each trophic level of the food chain.
Correct Answer: A — Biomagnification
Q. What is the term for the amount of heat required to raise the temperature of 1 kg of a substance by 1 degree Celsius?
-
A.
Heat capacity
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B.
Specific heat capacity
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C.
Latent heat
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D.
Thermal conductivity
Solution
Specific heat capacity is defined as the amount of heat required to raise the temperature of 1 kg of a substance by 1 degree Celsius.
Correct Answer: B — Specific heat capacity
Q. What is the term for the change of state from gas to liquid?
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A.
Sublimation
-
B.
Condensation
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C.
Evaporation
-
D.
Freezing
Solution
Condensation is the process where gas turns into liquid as it loses energy.
Correct Answer: B — Condensation
Q. What is the term for the change of state from solid to gas?
-
A.
Sublimation
-
B.
Deposition
-
C.
Evaporation
-
D.
Condensation
Solution
Sublimation is the process where a solid changes directly into a gas.
Correct Answer: A — Sublimation
Q. What is the term for the measure of a fluid's resistance to flow?
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A.
Density
-
B.
Viscosity
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C.
Pressure
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D.
Temperature
Solution
Viscosity is the measure of a fluid's resistance to flow, indicating how thick or thin the fluid is.
Correct Answer: B — Viscosity
Q. What is the term for the pressure exerted by a vapor in equilibrium with its liquid?
-
A.
Saturation pressure
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B.
Vapor pressure
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C.
Boiling point
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D.
Critical pressure
Solution
Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid.
Correct Answer: B — Vapor pressure
Q. What is the term for the process by which a liquid changes into a gas?
-
A.
Condensation
-
B.
Evaporation
-
C.
Sublimation
-
D.
Deposition
Solution
Evaporation is the process by which a liquid changes into a gas.
Correct Answer: B — Evaporation
Q. What is the term for the process by which plants absorb carbon dioxide from the atmosphere?
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A.
Respiration
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B.
Photosynthesis
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C.
Transpiration
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D.
Evaporation
Solution
Photosynthesis is the process by which plants absorb carbon dioxide (CO2) from the atmosphere and convert it into glucose.
Correct Answer: B — Photosynthesis
Q. What is the term for the process of a liquid turning into vapor?
-
A.
Condensation
-
B.
Evaporation
-
C.
Sublimation
-
D.
Deposition
Solution
Evaporation is the process by which a liquid turns into vapor.
Correct Answer: B — Evaporation
Q. What is the term for the process of removing adsorbed molecules from a surface?
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A.
Absorption
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B.
Desorption
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C.
Sorption
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D.
Adsorption
Solution
Desorption is the process of removing adsorbed molecules from a surface.
Correct Answer: B — Desorption
Q. What is the term for the process where a gas or liquid forms a thin layer on a solid surface?
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A.
Absorption
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B.
Desorption
-
C.
Adsorption
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D.
Sorption
Solution
Adsorption is the process where a gas or liquid forms a thin layer on a solid surface.
Correct Answer: C — Adsorption
Q. What is the term for the transition from a gas to a liquid?
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A.
Sublimation
-
B.
Condensation
-
C.
Evaporation
-
D.
Freezing
Solution
The transition from a gas to a liquid is called condensation.
Correct Answer: B — Condensation
Q. What is the term for the transition from liquid to gas at temperatures below the boiling point?
-
A.
Evaporation
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B.
Condensation
-
C.
Sublimation
-
D.
Freezing
Solution
Evaporation is the process of a liquid turning into gas below its boiling point.
Correct Answer: A — Evaporation
Q. What is the term for the transition from liquid to gas?
-
A.
Condensation
-
B.
Evaporation
-
C.
Sublimation
-
D.
Freezing
Solution
Evaporation is the process where liquid turns into gas.
Correct Answer: B — Evaporation
Q. What is the term for the transition from solid to gas without passing through the liquid state?
-
A.
Sublimation
-
B.
Deposition
-
C.
Evaporation
-
D.
Condensation
Solution
Sublimation is the process where a solid turns directly into a gas.
Correct Answer: A — Sublimation
Q. What is the term used for the amount of solute that can be adsorbed per unit mass of adsorbent?
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A.
Adsorption isotherm
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B.
Adsorption capacity
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C.
Adsorption efficiency
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D.
Adsorption rate
Solution
The term 'adsorption capacity' refers to the amount of solute that can be adsorbed per unit mass of adsorbent.
Correct Answer: B — Adsorption capacity
Q. What is the time period of a simple pendulum of length L?
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A.
2π√(L/g)
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B.
2π√(g/L)
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C.
g/2π√L
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D.
L/2π√g
Solution
The time period T of a simple pendulum is given by T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity.
Correct Answer: A — 2π√(L/g)
Q. What is the torque produced by a force of 10 N applied at a distance of 2 m from the pivot point, perpendicular to the lever arm?
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A.
5 Nm
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B.
10 Nm
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C.
20 Nm
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D.
15 Nm
Solution
Torque (τ) = Force (F) × Distance (r) = 10 N × 2 m = 20 Nm.
Correct Answer: C — 20 Nm
Q. What is the total current flowing through a circuit if the total voltage is 12 V and the total resistance is 4 ohms?
-
A.
3 A
-
B.
4 A
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C.
12 A
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D.
48 A
Solution
Using Ohm's Law, I = V / R. Here, I = 12 V / 4 ohms = 3 A.
Correct Answer: A — 3 A
Q. What is the total current flowing through a circuit if the total voltage is 12V and the total resistance is 4Ω?
Solution
Using Ohm's Law (I = V/R), the current is I = 12V / 4Ω = 3A.
Correct Answer: B — 3A
Q. What is the total current flowing through a circuit if the total voltage is 24V and the total resistance is 6Ω?
Solution
Using Ohm's Law, I = V/R = 24V / 6Ω = 4A.
Correct Answer: B — 4A
Q. What is the total current flowing through a circuit with a 10V battery and two 5Ω resistors in parallel?
Solution
Equivalent resistance R_eq = 1/(1/5 + 1/5) = 2.5Ω. Total current I = V/R_eq = 10V/2.5Ω = 4A.
Correct Answer: B — 2A
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