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!
Q. If the sales of Product B in Q3 are projected to increase by 20% from Q2, what will be the new sales figure?
A.
600 units
B.
720 units
C.
800 units
D.
900 units
Show solution
Solution
If Product B sold 600 units in Q2, a 20% increase would result in 720 units in Q3.
Correct Answer:
B
— 720 units
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Q. If the sales of Product B in Q3 were to decrease by 20%, what would be the new sales figure?
A.
400
B.
450
C.
480
D.
500
Show solution
Solution
If Product B sold 600 units in Q3, a 20% decrease would result in 480 units.
Correct Answer:
C
— 480
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Q. If the sales of Product B in Q4 are projected to be 600 units, what will be the total sales for Product B over the four quarters?
A.
1800
B.
1600
C.
1400
D.
1200
Show solution
Solution
The total sales for Product B over the four quarters would be 1600 units (400 + 500 + 400 + 600).
Correct Answer:
B
— 1600
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Q. If the sales of Product B in Q4 are projected to be 600 units, what would be the total sales for the year? (2000)
A.
2000
B.
2200
C.
2400
D.
2600
Show solution
Solution
Adding the projected Q4 sales of 600 to the previous quarters gives a total of 2200 units for the year.
Correct Answer:
B
— 2200
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Q. If the sales of Product B in Q4 were 600 units, what was the percentage increase from Q3 if Q3 sales were 500 units?
A.
20%
B.
25%
C.
30%
D.
15%
Show solution
Solution
The percentage increase from Q3 to Q4 is ((600 - 500) / 500) * 100 = 20%.
Correct Answer:
B
— 25%
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Q. If the sales of Product C in Q3 were to increase by 20%, what would be the new sales figure?
A.
240 units
B.
300 units
C.
360 units
D.
420 units
Show solution
Solution
The original sales figure for Product C in Q3 was 300 units; a 20% increase would result in 360 units.
Correct Answer:
C
— 360 units
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Q. If the sales of Product C in Q4 are projected to be 200 units, what is the expected total sales for the year?
A.
1200
B.
1300
C.
1400
D.
1500
Show solution
Solution
If Product C sells 200 units in Q4, the expected total sales for the year would be 1300 units.
Correct Answer:
B
— 1300
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Q. If the sales of Product C in Q4 are projected to be 200 units, what would be the total sales for the year?
A.
1200
B.
1300
C.
1400
D.
1500
Show solution
Solution
If Product C sells 200 units in Q4, the total sales for the year would be 1300 units.
Correct Answer:
B
— 1300
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Q. If the sales of Product C increased by 50 units, what would be the new total sales?
A.
2050
B.
2100
C.
2150
D.
2200
Show solution
Solution
The new total sales would be 2000 + 50 = 2050.
Correct Answer:
B
— 2100
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Q. If the sales of Product D in Q1 were 200 units, what was the percentage increase in sales by Q3?
A.
50%
B.
100%
C.
150%
D.
200%
Show solution
Solution
The sales increased to 400 units in Q3, which is a 100% increase from Q1.
Correct Answer:
B
— 100%
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Q. If the sales of Product D in Q1 were 200 units, what was the percentage increase in sales by Q2?
A.
50%
B.
100%
C.
25%
D.
75%
Show solution
Solution
The sales increased to 400 units in Q2, which is a 100% increase from Q1.
Correct Answer:
B
— 100%
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Q. If the sales of Product D in Q1 were 300 units, what was the percentage increase in Q2?
A.
20%
B.
30%
C.
40%
D.
50%
Show solution
Solution
The sales in Q2 were 420 units, which is a 40% increase from Q1.
Correct Answer:
C
— 40%
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Q. If the sales of Product D in Q3 were to double in Q4, what would be the new sales figure?
A.
200
B.
300
C.
400
D.
500
Show solution
Solution
If Product D sold 200 units in Q3, doubling that would result in 400 units in Q4.
Correct Answer:
C
— 400
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Q. If the sales of Product D in Q3 were to double, what would be the new total for that quarter?
A.
200 units
B.
300 units
C.
400 units
D.
500 units
Show solution
Solution
If Product D's sales in Q3 were 200 units, doubling it would result in 400 units.
Correct Answer:
C
— 400 units
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Q. If the sales of Product D in Q3 were to increase by 20%, what would be the new sales figure?
A.
240 units
B.
300 units
C.
360 units
D.
420 units
Show solution
Solution
The original sales figure for Product D in Q3 was 300 units; a 20% increase results in 360 units.
Correct Answer:
C
— 360 units
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Q. If the sales of Product D in Q4 were 300 units, what was the average sales per quarter for Product D?
A.
250 units
B.
200 units
C.
300 units
D.
350 units
Show solution
Solution
The average sales per quarter for Product D is 250 units, calculated from the total sales.
Correct Answer:
A
— 250 units
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Q. If the scalar product of two vectors A and B is 0, what can be inferred about the vectors?
A.
They are equal
B.
They are parallel
C.
They are orthogonal
D.
They are collinear
Show solution
Solution
If A · B = 0, then A and B are orthogonal (perpendicular) to each other.
Correct Answer:
C
— They are orthogonal
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Q. If the scalar product of two vectors A and B is 0, what can be said about the vectors?
A.
They are parallel
B.
They are orthogonal
C.
They are equal
D.
They are collinear
Show solution
Solution
If A · B = 0, then the vectors are orthogonal.
Correct Answer:
B
— They are orthogonal
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Q. If the scalar product of two vectors A and B is 15 and the magnitudes are |A| = 5 and |B| = 3, find the angle between them.
A.
60°
B.
45°
C.
30°
D.
90°
Show solution
Solution
A · B = |A||B|cos(θ) => 15 = 5*3*cos(θ) => cos(θ) = 1, θ = 0°.
Correct Answer:
B
— 45°
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Q. If the scalar product of two vectors A and B is equal to the product of their magnitudes, what can be inferred?
A.
They are perpendicular
B.
They are parallel
C.
They are equal
D.
They are opposite
Show solution
Solution
If A · B = |A||B|, then the angle between them is 0°, meaning they are parallel.
Correct Answer:
B
— They are parallel
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Q. If the scalar product of vectors A = (x, y, z) and B = (2, -1, 3) is 10, what is the equation?
A.
2x - y + 3z = 10
B.
2x + y + 3z = 10
C.
2x - y - 3z = 10
D.
2x + y - 3z = 10
Show solution
Solution
A · B = 2x - y + 3z = 10.
Correct Answer:
A
— 2x - y + 3z = 10
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Q. If the scalar product of vectors A and B is equal to the product of their magnitudes, what can be said about the angle between them?
A.
0°
B.
90°
C.
180°
D.
45°
Show solution
Solution
If A · B = |A||B|, then cos(θ) = 1, which means θ = 0°.
Correct Answer:
A
— 0°
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Q. If the scores of 10 students are: 50, 60, 70, 80, 90, 100, 50, 60, 70, 80, what is the mode?
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Solution
Mode is the value that appears most frequently. Here, 50, 60, 70, and 80 all appear twice, but 50 is the smallest.
Correct Answer:
A
— 50
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Q. If the scores of 5 students are 10, 20, 30, 40, and x, and the mean is 30, what is the value of x?
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Solution
Mean = (10 + 20 + 30 + 40 + x) / 5 = 30. Solving gives x = 50.
Correct Answer:
C
— 50
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Q. If the scores of 7 students are 50, 60, 70, 80, 90, 100, and 110, what is the median score?
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Solution
Arranging the scores: 50, 60, 70, 80, 90, 100, 110. Median = 80 (4th value).
Correct Answer:
B
— 80
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Q. If the scores of a student are 50, 60, 70, 80, and 90, what is the mode?
A.
50
B.
60
C.
70
D.
No mode
Show solution
Solution
All scores occur only once, so there is no mode.
Correct Answer:
D
— No mode
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Q. If the scores of a student in five subjects are 60, 70, 80, 90, and 100, what is the median score?
Show solution
Solution
Arranging the scores: 60, 70, 80, 90, 100. Median = 80 (middle value).
Correct Answer:
B
— 80
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Q. If the scores of a student in five subjects are 70, 80, 90, 100, and 60, what is the median score?
Show solution
Solution
Median = 80 (middle value when arranged: 60, 70, 80, 90, 100).
Correct Answer:
B
— 80
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Q. If the sea level rises by 3 mm per year, how much will it rise in 10 years?
A.
30 mm
B.
25 mm
C.
35 mm
D.
40 mm
Show solution
Solution
3 mm/year * 10 years = 30 mm
Correct Answer:
A
— 30 mm
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Q. If the second term of a geometric progression is 12 and the common ratio is 3, what is the first term?
Show solution
Solution
Let the first term be a. The second term is a * r = a * 3 = 12, thus a = 12/3 = 4.
Correct Answer:
A
— 4
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