11th Math Sequences and Series MCQ Chapter Quiz: Check knowledge with instant result

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Sequences and Series MCQ Test

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Time: 30 Minutes for 20 Question.

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11th Math: Sequences and Series

1 / 10

1. Find the 20^th term of the series 2 × 4 + 4 × 6 + 6 × 8 + ... + n terms.

168

1680

2680

None

2 / 10

2. Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32, 8, 2,1/2.

496

396

584

-496

3 / 10

3. Initially, 150 workers were assigned to complete a job within a specified timeframe. On the second day, 4 workers withdrew, followed by an additional 4 workers on the third day, and so forth. Ultimately, it took an additional 8 days to complete the task. Determine the total number of days it took to finish the work.

23 days

24 days

25 days

26 days

4 / 10

4. Can you find two numbers to insert between 3 and 81 so that the sequence formed by these numbers, 3, __, __, 81, is a geometric progression (G.P.)?

18 and 27

9 and 27

3 and 27

None

5 / 10

5. A farmer purchases a pre-owned tractor for Rs 12,000. Initially, he pays Rs 6,000 in cash and commits to settling the remaining amount through annual installments of Rs 500, along with 12% interest on the outstanding balance. What will be the total cost of the tractor for the farmer?

Rs 16690

Rs 16580

Rs 16681

Rs 16680

6 / 10

6. A G.P. consists of an even number of terms. If the sum of all the terms is 5 times the sum of terms occupying odd places, then find its common ratio.

2

3

4

5

7 / 10

7. The first term and common ratio of a geometric progression (G.P.) are 5 and 2, respectively. The sum of certain terms in this G.P. is 315. Determine the last term and the number of terms in the sequence.

160; 4

160; 5

16; 6

160; 6

8 / 10

8. An individual writes a letter to four friends, instructing each to copy the letter and send it to four different individuals, continuing the chain. Assuming the chain remains unbroken and the cost to mail one letter is 50 paise, calculate the total amount spent on postage when the 8th set of letters is mailed.

Rs 43695

Rs 43690

Rs 43691

Rs 43692

9 / 10

9. The sum of three numbers in a geometric progression (G.P.) is 56. If we subtract 1, 7, and 21 from these numbers in that order, we obtain an arithmetic progression. Determine the values of the numbers in the G.P.

4, 16, 32

8, 16, 32

8, 8, 32

8, 16, 26

10 / 10

10. The 4th term of a G.P. is square of its second term, and the first term is – 3. Determine its 7th term.

2187

– 2187

– 1187

1187

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11th Math Sequences and Series MCQ Quiz – Master the Basics of Sequences!

Boost your knowledge of Sequences and Series in Class 11 Mathematics with our interactive MCQ quiz. Sequences and series are fundamental concepts that form the backbone of many other mathematical topics. Whether you are preparing for your Class 11 exams or brushing up for competitive exams like JEE or NEET, mastering sequences and series will play a critical role in your success.

This 10-question quiz covers key topics such as arithmetic sequences, geometric sequences, the sum of series, and important formulas like the sum of n terms. This quiz will help you solidify your understanding, develop problem-solving skills, and boost your exam confidence.

FAQs

Q1: What topics are covered in the 11th Math Sequences and Series MCQ quiz?
Ans: The quiz covers essential topics such as arithmetic progression (AP), geometric progression (GP), formulas for the sum of n terms, properties of sequences, and methods to solve problems related to sequences and series.

Q2: How many questions are included in the quiz?
Ans: The quiz consists of 10 questions, designed to test your understanding of sequences and series in a variety of contexts.

Q3: Is the quiz designed according to the NCERT syllabus for Class 11?
Ans: Yes, the quiz is based on the NCERT syllabus for Class 11 Mathematics, ensuring that it aligns with the curriculum and prepares you for both board exams and entrance exams.

Q4: How will this quiz help me in my exam preparation?
Ans: This quiz will help you understand the fundamental concepts of sequences and series, allowing you to solve problems faster and more accurately. It is an excellent tool to sharpen your skills before exams.

Q5: Can I attempt the quiz multiple times?
Ans: Yes, you can attempt the quiz multiple times to improve your score, strengthen your understanding, and ensure mastery of the concepts related to sequences and series.

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