Engineering Entrance Exam Preparation Resources

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Engineering Entrance MCQ & Objective Questions

Preparing for Engineering Entrance exams is crucial for aspiring engineers in India. Mastering MCQs and objective questions not only enhances your understanding of key concepts but also boosts your confidence during exams. Regular practice with these questions helps identify important topics and improves your overall exam preparation.

What You Will Practise Here

Fundamental concepts of Physics and Mathematics
Key formulas and their applications in problem-solving
Important definitions and theorems relevant to engineering
Diagrams and graphical representations for better understanding
Conceptual questions that challenge your critical thinking
Previous years' question papers and their analysis
Time management strategies while solving MCQs

Exam Relevance

The Engineering Entrance syllabus is integral to various examinations like CBSE, State Boards, NEET, and JEE. Questions often focus on core subjects such as Physics, Chemistry, and Mathematics, with formats varying from direct MCQs to application-based problems. Understanding the common question patterns can significantly enhance your performance and help you tackle the exams with ease.

Common Mistakes Students Make

Overlooking the importance of units and dimensions in calculations
Misinterpreting questions due to lack of careful reading
Neglecting to review basic concepts before attempting advanced problems
Rushing through practice questions without thorough understanding

FAQs

Question: What are the best ways to prepare for Engineering Entrance MCQs?
Answer: Focus on understanding concepts, practice regularly with objective questions, and review previous years' papers.

Question: How can I improve my speed in solving MCQs?
Answer: Regular practice, time-bound mock tests, and familiarizing yourself with common question types can help improve your speed.

Start your journey towards success by solving Engineering Entrance MCQ questions today! Test your understanding and build a strong foundation for your exams.

MHT-CET

Q. What is the Nernst equation for a cell at 298 K with E° = 0.77 V and [Zn²⁺] = 0.01 M?

A. E = 0.77 - 0.0591 log(0.01)
B. E = 0.77 + 0.0591 log(0.01)
C. E = 0.77 - 0.0591 log(100)
D. E = 0.77 + 0.0591 log(100)

Solution

Using the Nernst equation: E = E° - (0.0591/n) log([Zn²⁺]), where n=2.

Correct Answer: A — E = 0.77 - 0.0591 log(0.01)

Q. What is the Nernst equation used for calculating the cell potential at non-standard conditions? (2023)

A. E = E° - (RT/nF)lnQ
B. E = E° + (RT/nF)lnQ
C. E = E° - (nF/RT)lnQ
D. E = E° + (nF/RT)lnQ

Solution

The Nernst equation is E = E° - (RT/nF)lnQ, where E is the cell potential, E° is the standard potential, R is the gas constant, T is the temperature, n is the number of moles of electrons, and F is Faraday's constant.

Correct Answer: A — E = E° - (RT/nF)lnQ

Q. What is the Nernst equation used for? (2023) 2023

A. Calculating pH
B. Determining cell potential
C. Measuring current
D. Finding resistance

Solution

The Nernst equation is used to determine the cell potential under non-standard conditions.

Correct Answer: B — Determining cell potential

Q. What is the net force acting on a 12 kg object moving with a constant velocity? (2023)

A. 0 N
B. 12 N
C. 24 N
D. 36 N

Solution

According to Newton's first law, if the object is moving with constant velocity, the net force is 0 N.

Correct Answer: A — 0 N

Q. What is the net force acting on a 15 kg object moving with a constant velocity? (2021)

A. 0 N
B. 15 N
C. 30 N
D. 45 N

Solution

If the object is moving with constant velocity, net force is 0 N (Newton's first law).

Correct Answer: A — 0 N

Q. What is the net force acting on a 15 kg object that is accelerating at 4 m/s²? (2020)

A. 60 N
B. 30 N
C. 45 N
D. 75 N

Solution

Net force F = m × a = 15 kg × 4 m/s² = 60 N.

Correct Answer: A — 60 N

Q. What is the normality of a solution containing 3 moles of H2SO4 in 1 liter of solution? (2022) 2022

A. 3 N
B. 6 N
C. 1.5 N
D. 0.5 N

Solution

Normality (N) = n * molarity, where n = number of equivalents. For H2SO4, n = 2. Thus, N = 2 * 3 M = 6 N.

Correct Answer: B — 6 N

Q. What is the number of moles in 10 grams of H2? (2020)

A. 0.5
B. 1
C. 2
D. 0.25

Solution

Molar mass of H2 = 2 g/mol. Number of moles = mass/molar mass = 10 g / 2 g/mol = 5 moles.

Correct Answer: A — 0.5

Q. What is the number of moles in 10 grams of hydrogen gas (H2)? (2019)

A. 5
B. 0.5
C. 1
D. 2

Solution

Molar mass of H2 = 2 g/mol. Number of moles = 10g/2g/mol = 5 moles.

Correct Answer: B — 0.5

Q. What is the number of moles in 250 mL of a 2 M NaCl solution? (2021)

A. 0.5
B. 1
C. 2
D. 0.25

Solution

Moles = Molarity x Volume (L) = 2 M x 0.250 L = 0.5 moles.

Correct Answer: A — 0.5

Q. What is the number of moles in 44 grams of carbon dioxide (CO2)? (2023)

A. 1 mole
B. 2 moles
C. 0.5 moles
D. 0.25 moles

Solution

The molar mass of CO2 is 44 g/mol. Therefore, 44 g of CO2 corresponds to 1 mole.

Correct Answer: A — 1 mole

Q. What is the number of moles in 44 grams of CO2? (2021) 2021

A. 1
B. 2
C. 0.5
D. 0.25

Solution

Molar mass of CO2 = 12 + 16*2 = 44 g/mol. Number of moles = mass/molar mass = 44g/44g/mol = 1 mole.

Correct Answer: A — 1

Q. What is the number of moles in 500 mL of a 2 M NaCl solution? (2023)

A. 1
B. 0.5
C. 2
D. 0.25

Solution

Moles = Molarity x Volume (L) = 2 moles/L x 0.5 L = 1 mole.

Correct Answer: A — 1

Q. What is the oxidation state of chlorine in NaClO3? (2022) 2022

A. +1
B. +3
C. +5
D. +7

Solution

In NaClO3, the oxidation state of chlorine is +5. Sodium is +1 and each oxygen is -2, leading to the equation: +1 + x + 3(-2) = 0, solving gives x = +5.

Correct Answer: C — +5

Q. What is the oxidation state of chromium in K2Cr2O7? (2021) 2021

A. +3
B. +6
C. +2
D. +5

Solution

In K2Cr2O7, the total charge from potassium (K) is +2, and oxygen (O) contributes -14. Let the oxidation state of Cr be x. The equation is 2x - 14 + 2 = 0, solving gives x = +6.

Correct Answer: B — +6

Q. What is the oxidation state of nitrogen in NH4+? (2020) 2020

A. -3
B. 0
C. +1
D. +3

Solution

In NH4+, nitrogen has an oxidation state of -3. Each hydrogen is +1, leading to the equation: x + 4(+1) = +1, solving gives x = -3.

Correct Answer: A — -3

Q. What is the oxidation state of phosphorus in phosphoric acid (H3PO4)? (2020) 2020

A. +3
B. +5
C. 0
D. -3

Solution

In H3PO4, phosphorus has an oxidation state of +5.

Correct Answer: B — +5

Q. What is the oxidation state of sulfur in H2SO4? (2021) 2021

A. +6
B. +4
C. +2
D. 0

Solution

In H2SO4, the oxidation state of sulfur is +6. Each hydrogen is +1 and each oxygen is -2, leading to the equation: 2(+1) + x + 4(-2) = 0, solving gives x = +6.

Correct Answer: A — +6

Q. What is the oxidation state of sulfur in H2SO4? (2023) 2023

A. +2
B. +4
C. +6
D. 0

Solution

In H2SO4, the oxidation state of sulfur is +6.

Correct Answer: C — +6

Q. What is the particular solution of dy/dx = 4y with the initial condition y(0) = 2?

A. y = 2e^(4x)
B. y = e^(4x)
C. y = 4e^(4x)
D. y = 2e^(x)

Solution

The general solution is y = Ce^(4x). Using the initial condition y(0) = 2, we find C = 2, thus y = 2e^(4x).

Correct Answer: A — y = 2e^(4x)

Q. What is the percentage by mass of a solution containing 15 grams of solute in 85 grams of solvent? (2021)

A. 15%
B. 17.65%
C. 20%
D. 25%

Solution

Percentage by mass = (mass of solute / total mass) × 100 = (15 g / (15 g + 85 g)) × 100 = 17.65%.

Correct Answer: B — 17.65%

Q. What is the percentage concentration of a solution containing 15 g of solute in 150 g of solution? (2023)

A. 10%
B. 15%
C. 20%
D. 25%

Solution

Percentage concentration = (mass of solute / mass of solution) × 100 = (15 g / 150 g) × 100 = 10%

Correct Answer: B — 15%

Q. What is the percentage concentration of a solution containing 20 g of solute in 200 g of solution? (2021)

A. 10%
B. 20%
C. 5%
D. 15%

Solution

Percentage concentration = (mass of solute / mass of solution) × 100 = (20 g / 200 g) × 100 = 10%.

Correct Answer: A — 10%

Q. What is the period number of Argon? (2020)

A. 2
B. 3
C. 4
D. 5

Solution

Argon is located in Period 3 of the periodic table.

Correct Answer: C — 4

Q. What is the period number of Lithium in the periodic table? (2022)

A. 1
B. 2
C. 3
D. 4

Solution

Lithium is located in period 2 of the periodic table.

Correct Answer: B — 2

Q. What is the period number of Lithium? (2016) 2016

A. 1
B. 2
C. 3
D. 4

Solution

Lithium is located in period 2 of the periodic table.

Correct Answer: B — 2

Q. What is the period number of Sodium in the periodic table? (2017)

A. 1
B. 2
C. 3
D. 4

Solution

Sodium is in period 3 of the periodic table.

Correct Answer: C — 3

Q. What is the pH of a 0.001 M acetic acid solution (Ka = 1.8 x 10^-5)?

A. 2.87
B. 3.87
C. 4.87
D. 5.87

Solution

Using the formula for weak acids, pH = 0.5(pKa - logC) = 0.5(4.74 - log(0.001)) = 3.87.

Correct Answer: B — 3.87

Q. What is the pH of a 0.001 M solution of hydrochloric acid?

A. 3
B. 4
C. 5
D. 6

Solution

pH = -log(0.001) = 3.

Correct Answer: A — 3

Q. What is the pH of a 0.01 M HCl solution? (2021) 2021

A. 1
B. 2
C. 3
D. 4

Solution

For a strong acid like HCl, pH = -log[H+] = -log(0.01) = 2.

Correct Answer: A — 1

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