Q. If the ratio of the lengths of two sides of a triangle is 3:4 and the length of the shorter side is 9 cm, what is the length of the longer side? (2022)
A.
12 cm
B.
15 cm
C.
18 cm
D.
21 cm
Solution
If the shorter side is 9 cm and the ratio is 3:4, then the longer side is (4/3) × 9 cm = 12 cm.
Q. If the sum of the angles in a triangle is 180 degrees, what is the measure of the third angle if the other two angles are 50 degrees and 70 degrees?
A.
60
B.
70
C.
80
D.
90
Solution
The third angle can be found by subtracting the sum of the other two angles from 180 degrees: 180 - (50 + 70) = 60 degrees.
Q. In a triangle, if one angle is 90 degrees and the other two angles are equal, what is the measure of each of the equal angles?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
Solution
In a triangle, the sum of angles is 180 degrees. If one angle is 90 degrees, the other two angles must sum to 90 degrees. Therefore, each of the equal angles is 45 degrees.
Q. In the expression 3.4567 + 2.1, how many significant figures does the result have?
A.
4
B.
3
C.
5
D.
2
Solution
The result of 3.4567 + 2.1 is 5.5567. However, since 2.1 has only 2 significant figures after the decimal, the result should be rounded to 5.6, which has 3 significant figures.
Q. In the expression 5x + 3y = 20, if x = 2, what is the value of y? (2021)
A.
2
B.
4
C.
6
D.
8
Solution
Substituting x = 2 into the equation gives 5(2) + 3y = 20. This simplifies to 10 + 3y = 20, leading to 3y = 10, thus y = 10/3, which is approximately 3.33. The closest integer option is 4.
Grammar is a fundamental aspect of language that plays a crucial role in your exam success. Mastering grammar not only enhances your writing skills but also boosts your confidence in answering objective questions. Practicing MCQs and important questions in grammar helps you identify your strengths and weaknesses, making your exam preparation more effective.
What You Will Practise Here
Parts of Speech: Nouns, Pronouns, Verbs, Adjectives, Adverbs
Sentence Structure: Simple, Compound, and Complex Sentences
Tenses: Understanding Past, Present, and Future Tenses
Subject-Verb Agreement: Rules and Exceptions
Punctuation: Commas, Full Stops, Colons, and Semicolons
Active and Passive Voice: Converting Sentences
Direct and Indirect Speech: Rules and Conversions
Exam Relevance
Grammar is a significant component in various examinations, including CBSE, State Boards, NEET, and JEE. In these exams, you can expect questions that assess your understanding of grammar rules and their application in context. Common question patterns include fill-in-the-blanks, sentence correction, and identifying errors in sentences. Familiarity with these patterns will enhance your ability to tackle grammar-related questions effectively.
Common Mistakes Students Make
Confusing similar-sounding words, such as "their," "there," and "they're."
Neglecting subject-verb agreement, especially with collective nouns.
Misplacing punctuation marks, leading to unclear sentence meanings.
Struggling with tense consistency within a paragraph.
Failing to recognize the difference between direct and indirect speech.
FAQs
Question: What are some effective ways to prepare for grammar MCQs? Answer: Regular practice with objective questions, reviewing grammar rules, and taking mock tests can significantly improve your performance.
Question: How can I identify my weak areas in grammar? Answer: By solving practice questions and analyzing your mistakes, you can pinpoint the specific grammar topics that need more attention.
Don't wait any longer! Start solving practice MCQs on grammar today to solidify your understanding and excel in your exams. Remember, consistent practice is the key to mastering grammar and achieving your academic goals.
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