Major Competitive Exams

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Major Competitive Exams

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Major Competitive Exams MCQ & Objective Questions

Major Competitive Exams play a crucial role in shaping the academic and professional futures of students in India. These exams not only assess knowledge but also test problem-solving skills and time management. Practicing MCQs and objective questions is essential for scoring better, as they help in familiarizing students with the exam format and identifying important questions that frequently appear in tests.

What You Will Practise Here

Key concepts and theories related to major subjects
Important formulas and their applications
Definitions of critical terms and terminologies
Diagrams and illustrations to enhance understanding
Practice questions that mirror actual exam patterns
Strategies for solving objective questions efficiently
Time management techniques for competitive exams

Exam Relevance

The topics covered under Major Competitive Exams are integral to various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect to encounter a mix of conceptual and application-based questions that require a solid understanding of the subjects. Common question patterns include multiple-choice questions that test both knowledge and analytical skills, making it essential to be well-prepared with practice MCQs.

Common Mistakes Students Make

Rushing through questions without reading them carefully
Overlooking the negative marking scheme in MCQs
Confusing similar concepts or terms
Neglecting to review previous years’ question papers
Failing to manage time effectively during the exam

FAQs

Question: How can I improve my performance in Major Competitive Exams?
Answer: Regular practice of MCQs and understanding key concepts will significantly enhance your performance.

Question: What types of questions should I focus on for these exams?
Answer: Concentrate on important Major Competitive Exams questions that frequently appear in past papers and mock tests.

Question: Are there specific strategies for tackling objective questions?
Answer: Yes, practicing under timed conditions and reviewing mistakes can help develop effective strategies.

Start your journey towards success by solving practice MCQs today! Test your understanding and build confidence for your upcoming exams. Remember, consistent practice is the key to mastering Major Competitive Exams!

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Q. What is the trace of a 2x2 matrix [[a, b], [c, d]]? (2019)

A. a + b
B. b + c
C. a + d
D. c + d

Solution

The trace of a matrix is the sum of its diagonal elements. For the matrix [[a, b], [c, d]], the trace is a + d.

Correct Answer: C — a + d

Q. What is the trace of a matrix?

A. Sum of all elements
B. Sum of diagonal elements
C. Product of diagonal elements
D. None of the above

Solution

The trace of a matrix is defined as the sum of the elements on the main diagonal.

Correct Answer: B — Sum of diagonal elements

Q. What is the trace of a square matrix? (2022)

A. Sum of all elements
B. Product of diagonal elements
C. Sum of diagonal elements
D. Difference of diagonal elements

Solution

The trace of a square matrix is defined as the sum of the elements on its main diagonal.

Correct Answer: C — Sum of diagonal elements

Q. What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?

A. 15
B. 18
C. 12
D. 9

Solution

The trace of A is the sum of the diagonal elements: 1 + 5 + 9 = 15.

Correct Answer: A — 15

Q. What is the trace of the matrix H = [[2, 0, 1], [0, 3, 0], [1, 0, 4]]? (2019)

A. 5
B. 6
C. 7
D. 8

Solution

The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 + 4 = 9.

Correct Answer: C — 7

Q. What is the trace of the matrix H = [[2, 1], [1, 3]]?

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

Solution

The trace of a matrix is the sum of its diagonal elements. Here, trace(H) = 2 + 3 = 5.

Correct Answer: B — 4

Q. What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)

A. 5
B. 6
C. 7
D. 8

Solution

The trace of a matrix is the sum of its diagonal elements. Here, trace(I) = 3 + 4 = 7.

Correct Answer: B — 6

Q. What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)

A. 5
B. 7
C. 9
D. 11

Solution

The trace of a matrix is the sum of its diagonal elements. Thus, trace(I) = 5 + 4 = 9.

Correct Answer: C — 9

Q. What is the trend in atomic radius as you move down a group in the periodic table?

A. Increases
B. Decreases
C. Remains constant
D. Increases then decreases

Solution

Atomic radius increases down a group due to the addition of electron shells.

Correct Answer: A — Increases

Q. What is the trend in atomic radius as you move down the alkali metal group? (2022)

A. Increases
B. Decreases
C. Remains constant
D. Increases then decreases

Solution

The atomic radius increases as you move down the alkali metal group due to the addition of electron shells.

Correct Answer: A — Increases

Q. What is the trend in atomic radius as you move down the group of alkali metals?

A. Increases
B. Decreases
C. Remains constant
D. Varies irregularly

Solution

The atomic radius increases as you move down the group of alkali metals.

Correct Answer: A — Increases

Q. What is the trend in electronegativity as you move from left to right across a period?

A. Increases
B. Decreases
C. Remains constant
D. Varies irregularly

Solution

Electronegativity increases from left to right across a period.

Correct Answer: A — Increases

Q. What is the trend in ionization energy as you move down the group in s-block elements?

A. Increases
B. Decreases
C. Remains constant
D. Varies irregularly

Solution

Ionization energy decreases as you move down the group in s-block elements due to increased atomic size.

Correct Answer: B — Decreases

Q. What is the trend in ionization energy for alkali metals down the group?

A. Increases
B. Decreases
C. Remains constant
D. Fluctuates

Solution

Ionization energy decreases down the group for alkali metals.

Correct Answer: B — Decreases

Q. What is the trend in metallic character as you move from left to right across a period?

A. Increases
B. Decreases
C. Remains constant
D. Increases then decreases

Solution

Metallic character decreases from left to right across a period.

Correct Answer: B — Decreases

Q. What is the trend in reactivity of alkali metals down the group? (2022)

A. Increases
B. Decreases
C. Remains constant
D. Varies irregularly

Solution

The reactivity of alkali metals increases down the group due to the decrease in ionization energy.

Correct Answer: A — Increases

Q. What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, and C = 1?

A. 0
B. 1
C. 2
D. 3

Solution

First, evaluate B OR C, which is 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.

Correct Answer: B — 1

Q. What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, C = 1?

A. 0
B. 1
C. 2
D. Undefined

Solution

B OR C = 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.

Correct Answer: B — 1

Q. What is the Tyndall effect? (2023)

A. Scattering of light by particles
B. Absorption of light by particles
C. Reflection of light by particles
D. Refraction of light by particles

Solution

The Tyndall effect is the scattering of light by colloidal particles, making the path of the light visible.

Correct Answer: A — Scattering of light by particles

Q. What is the typical band gap of germanium?

A. 0.66 eV
B. 1.1 eV
C. 1.5 eV
D. 2.0 eV

Solution

The typical band gap of germanium is approximately 0.66 eV.

Correct Answer: A — 0.66 eV

Q. What is the typical charge of s-block metal ions?

A. +1
B. +2
C. -1
D. 0

Solution

S-block metals typically form ions with a charge of +2.

Correct Answer: B — +2

Q. What is the typical current-voltage characteristic of a diode in reverse bias? (2019)

A. Linear
B. Exponential
C. Constant
D. Very small reverse saturation current

Solution

In reverse bias, a diode exhibits a very small reverse saturation current until breakdown occurs.

Correct Answer: D — Very small reverse saturation current

Q. What is the typical forward voltage drop across a silicon diode? (2023)

A. 0.2 V
B. 0.7 V
C. 1.5 V
D. 2.0 V

Solution

The typical forward voltage drop across a silicon diode is approximately 0.7 V.

Correct Answer: B — 0.7 V

Q. What is the typical port number for SMTP?

A. 25
B. 80
C. 443
D. 110

Solution

The typical port number for SMTP is 25.

Correct Answer: A — 25

Q. What is the typical range of energy band gaps for semiconductors?

A. 0.1 - 0.5 eV
B. 0.5 - 1.5 eV
C. 1.5 - 3.0 eV
D. 3.0 - 5.0 eV

Solution

The typical range of energy band gaps for semiconductors is between 0.5 eV and 1.5 eV.

Correct Answer: B — 0.5 - 1.5 eV

Q. What is the typical range of the energy band gap for semiconductors?

A. 0.1 - 0.5 eV
B. 0.5 - 2.5 eV
C. 2.5 - 5 eV
D. 5 - 10 eV

Solution

The typical range of the energy band gap for semiconductors is between 0.5 eV and 2.5 eV.

Correct Answer: B — 0.5 - 2.5 eV

Q. What is the uncertainty in a measurement of 50.0 ± 0.5 g when converted to kilograms?

A. 0.0005 kg
B. 0.005 kg
C. 0.05 kg
D. 0.5 kg

Solution

To convert grams to kilograms, divide by 1000. The uncertainty in kilograms is 0.5 g / 1000 = 0.0005 kg.

Correct Answer: B — 0.005 kg

Q. What is the uncertainty in position if the uncertainty in momentum of a particle is 1.0 x 10^-24 kg m/s?

A. 1.0 x 10^-10 m
B. 6.63 x 10^-10 m
C. 1.0 x 10^-34 m
D. 6.63 x 10^-34 m

Solution

Using Heisenberg's uncertainty principle, ΔxΔp ≥ ħ/2, we find Δx ≥ ħ/(2Δp) = (1.055 x 10^-34)/(2 x 1.0 x 10^-24) = 5.27 x 10^-11 m.

Correct Answer: D — 6.63 x 10^-34 m

Q. What is the uncertainty in the measurement of a length of 5.00 cm ± 0.02 cm when calculating the area?

A. 0.04 cm²
B. 0.10 cm²
C. 0.20 cm²
D. 0.50 cm²

Solution

Area = length² = (5.00 cm)² = 25.00 cm². The uncertainty in area is calculated using the formula: ΔA = 2LΔL = 2(5.00 cm)(0.02 cm) = 0.20 cm².

Correct Answer: B — 0.10 cm²

Q. What is the uncertainty in the result of adding 5.0 cm and 3.0 cm, each with an uncertainty of 0.1 cm?

A. 0.1 cm
B. 0.2 cm
C. 0.3 cm
D. 0.4 cm

Solution

When adding, the uncertainties are added: 0.1 cm + 0.1 cm = 0.2 cm.

Correct Answer: B — 0.2 cm

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