Q. In triangle JKL, if JK = 15 cm, KL = 20 cm, and JL = 25 cm, what is the semi-perimeter of the triangle? (2022)
A.
30 cm
B.
25 cm
C.
20 cm
D.
35 cm
Show solution
Solution
Semi-perimeter = (JK + KL + JL) / 2 = (15 + 20 + 25) / 2 = 30 cm.
Correct Answer:
A
— 30 cm
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Q. In triangle JKL, if JK = 15 cm, KL = 20 cm, and JL = 25 cm, what is the type of triangle? (2023)
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right-angled
Show solution
Solution
Since 15² + 20² = 25² (225 + 400 = 625), triangle JKL is a right-angled triangle.
Correct Answer:
D
— Right-angled
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Q. In triangle JKL, if JK = 5 cm, KL = 12 cm, and JL = 13 cm, what is the type of triangle? (2023)
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right-angled
Show solution
Solution
Since 5² + 12² = 13² (25 + 144 = 169), triangle JKL is a right-angled triangle.
Correct Answer:
D
— Right-angled
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Q. In triangle MNO, if angle M = 45 degrees and angle N = 45 degrees, what is angle O?
A.
90 degrees
B.
45 degrees
C.
60 degrees
D.
30 degrees
Show solution
Solution
Angle O = 180 - (angle M + angle N) = 180 - (45 + 45) = 90 degrees.
Correct Answer:
A
— 90 degrees
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Q. In triangle MNO, if MN = 8 cm, NO = 15 cm, and MO = 17 cm, what is the type of triangle? (2023)
A.
Equilateral
B.
Isosceles
C.
Scalene
D.
Right-angled
Show solution
Solution
Using the Pythagorean theorem, 8² + 15² = 64 + 225 = 289 = 17². Hence, it is a right-angled triangle.
Correct Answer:
D
— Right-angled
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Q. In triangle PQR, if PQ = 10 cm, PR = 24 cm, and QR = 26 cm, what is the area of the triangle? (2019)
A.
120 cm²
B.
240 cm²
C.
60 cm²
D.
80 cm²
Show solution
Solution
Using Heron's formula, s = (10 + 24 + 26) / 2 = 30. Area = √(30(30-10)(30-24)(30-26)) = √(30*20*6*4) = √(4800) = 120 cm².
Correct Answer:
A
— 120 cm²
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Q. In triangle PQR, if PQ = 10 cm, QR = 24 cm, and PR = 26 cm, what is the area of the triangle?
A.
120 cm²
B.
120√3 cm²
C.
240 cm²
D.
48 cm²
Show solution
Solution
Using Heron's formula, s = (10 + 24 + 26)/2 = 30. Area = √(30(30-10)(30-24)(30-26)) = √(30*20*6*4) = 120 cm².
Correct Answer:
A
— 120 cm²
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Q. In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the perimeter of the triangle? (2022)
A.
24 cm
B.
26 cm
C.
22 cm
D.
20 cm
Show solution
Solution
Perimeter = PQ + QR + PR = 8 + 6 + 10 = 24 cm.
Correct Answer:
A
— 24 cm
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Q. In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perimeter? (2022)
A.
12 cm
B.
14 cm
C.
16 cm
D.
18 cm
Show solution
Solution
Semi-perimeter = (PQ + QR + PR) / 2 = (8 + 6 + 10) / 2 = 12 cm.
Correct Answer:
B
— 14 cm
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Q. In triangle PQR, if PQ = 8 cm, QR = 6 cm, and PR = 10 cm, what is the semi-perimeter of the triangle? (2022)
A.
12 cm
B.
14 cm
C.
16 cm
D.
18 cm
Show solution
Solution
Semi-perimeter = (PQ + QR + PR) / 2 = (8 + 6 + 10) / 2 = 12 cm.
Correct Answer:
B
— 14 cm
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Q. In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the length of side XY if side XZ = 10 cm? (2020)
A.
5√2 cm
B.
10 cm
C.
10√2 cm
D.
20 cm
Show solution
Solution
In an isosceles right triangle, the sides opposite the 45-degree angles are equal. Therefore, XY = XZ / √2 = 10 / √2 = 5√2 cm.
Correct Answer:
A
— 5√2 cm
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Q. In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the ratio of the lengths of sides opposite to these angles? (2021)
A.
1:1
B.
1:√2
C.
√2:1
D.
2:1
Show solution
Solution
In an isosceles triangle with angles 45 degrees, the sides opposite these angles are equal, hence the ratio is 1:1.
Correct Answer:
A
— 1:1
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Q. In triangle XYZ, if angle X = 45 degrees and angle Y = 45 degrees, what is the ratio of the sides opposite to these angles? (2021)
A.
1:1
B.
1:√2
C.
√2:1
D.
2:1
Show solution
Solution
In an isosceles triangle with angles 45-45-90, the sides opposite the equal angles are equal, hence the ratio is 1:1.
Correct Answer:
A
— 1:1
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Q. In triangle XYZ, if side XY = 8 cm, side YZ = 6 cm, and side XZ = 10 cm, which of the following is true?
A.
It is a right triangle.
B.
It is an obtuse triangle.
C.
It is an acute triangle.
D.
It cannot be classified.
Show solution
Solution
Using the Pythagorean theorem, since 10^2 = 8^2 + 6^2 (100 = 64 + 36), triangle XYZ is a right triangle.
Correct Answer:
A
— It is a right triangle.
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Q. In triangle XYZ, if side XY is 8 cm, side YZ is 6 cm, and angle X is 45 degrees, which method can be used to find the length of side XZ?
A.
Pythagorean theorem
B.
Sine rule
C.
Cosine rule
D.
Area formula
Show solution
Solution
To find the length of side XZ when two sides and the included angle are known, the Cosine rule is applicable.
Correct Answer:
C
— Cosine rule
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Q. In triangle XYZ, if side XY is 8 cm, side YZ is 6 cm, and side XZ is 10 cm, which of the following is true?
A.
It is a right triangle.
B.
It is an isosceles triangle.
C.
It is an equilateral triangle.
D.
It is a scalene triangle.
Show solution
Solution
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Correct Answer:
D
— It is a scalene triangle.
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Q. In triangle XYZ, if XY = 12 cm, YZ = 16 cm, and XZ = 20 cm, what is the semi-perimeter? (2020)
A.
24 cm
B.
28 cm
C.
30 cm
D.
32 cm
Show solution
Solution
Semi-perimeter s = (XY + YZ + XZ)/2 = (12 + 16 + 20)/2 = 24 cm.
Correct Answer:
A
— 24 cm
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Q. In triangle XYZ, if XY = 5 cm, YZ = 12 cm, and XZ = 13 cm, what type of triangle is it?
A.
Acute
B.
Obtuse
C.
Right
D.
Equilateral
Show solution
Solution
Using the Pythagorean theorem, since 5^2 + 12^2 = 25 + 144 = 169 = 13^2, triangle XYZ is a right triangle.
Correct Answer:
C
— Right
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Q. In triangle XYZ, if XY = 8 cm, YZ = 15 cm, and XZ = 17 cm, is it a right triangle?
A.
Yes
B.
No
C.
Cannot be determined
D.
Only if XY is the hypotenuse
Show solution
Solution
Since 8^2 + 15^2 = 17^2, triangle XYZ is a right triangle.
Correct Answer:
A
— Yes
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Q. In triangle XYZ, if XY = 8 cm, YZ = 15 cm, and XZ = 17 cm, what is the length of the longest side? (2020)
A.
8 cm
B.
15 cm
C.
17 cm
D.
Not determinable
Show solution
Solution
The longest side in triangle XYZ is XZ, which measures 17 cm.
Correct Answer:
C
— 17 cm
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Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which of the following is true?
A.
It is an equilateral triangle.
B.
It is an isosceles triangle.
C.
It is a scalene triangle.
D.
It is a right triangle.
Show solution
Solution
Since all sides are of different lengths, triangle XYZ is a scalene triangle.
Correct Answer:
C
— It is a scalene triangle.
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Q. In triangle XYZ, if XY = 8 cm, YZ = 6 cm, and XZ = 10 cm, which side is the longest?
A.
XY
B.
YZ
C.
XZ
D.
All sides are equal
Show solution
Solution
The longest side in triangle XYZ is XZ, which measures 10 cm.
Correct Answer:
C
— XZ
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Q. In uniform circular motion, which of the following quantities remains constant?
A.
Speed
B.
Velocity
C.
Acceleration
D.
Centripetal force
Show solution
Solution
In uniform circular motion, the speed remains constant, but velocity and acceleration change direction.
Correct Answer:
A
— Speed
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Q. In uniform circular motion, which of the following statements is true?
A.
Velocity is constant
B.
Acceleration is zero
C.
Speed is constant
D.
Net force is zero
Show solution
Solution
In uniform circular motion, speed is constant but velocity changes due to direction change.
Correct Answer:
C
— Speed is constant
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Q. In what year did India gain independence and subsequently join the United Nations? (1947)
A.
1947
B.
1948
C.
1950
D.
1952
Show solution
Solution
India gained independence in 1947 and joined the United Nations on October 30, 1948.
Correct Answer:
B
— 1948
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Q. In what year did India gain independence from British rule? (1947)
A.
1942
B.
1945
C.
1947
D.
1950
Show solution
Solution
India gained independence from British rule on August 15, 1947.
Correct Answer:
C
— 1947
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Q. In what year did Nelson Mandela become the President of South Africa? (1994)
A.
1990
B.
1994
C.
1996
D.
1998
Show solution
Solution
Nelson Mandela was inaugurated as President of South Africa on May 10, 1994.
Correct Answer:
B
— 1994
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Q. In what year did the European Union officially come into existence? (1992)
A.
1992
B.
1995
C.
2000
D.
2004
Show solution
Solution
The European Union was officially established by the Maastricht Treaty in 1992.
Correct Answer:
A
— 1992
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Q. In what year did the Rwandan Genocide occur? (1994)
A.
1992
B.
1994
C.
1996
D.
1998
Show solution
Solution
The Rwandan Genocide occurred in 1994, resulting in the deaths of an estimated 800,000 people.
Correct Answer:
B
— 1994
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Q. In what year did the United Kingdom vote to leave the European Union? (2016)
A.
2014
B.
2015
C.
2016
D.
2017
Show solution
Solution
The United Kingdom voted to leave the European Union in a referendum held on June 23, 2016.
Correct Answer:
C
— 2016
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Showing 16111 to 16140 of 31669 (1056 Pages)
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!
