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JEE (Main) Mathematics - Insertion of Arithmetic and Geometric Means MCQs

JEE (Main) Mathematics - Insertion of Arithmetic and Geometric Means MCQs

  1. 16. If the arithmetic mean of 5 and 9 is inserted between 3 and 7, what is the new arithmetic progression formed?

    • a) 3, 5, 7, 9
    • b) 3, 5, 7
    • c) 3, 6, 9
    • d) 3, 7, 9

    Answer: a) 3, 5, 7, 9

  2. 17. If two arithmetic means are inserted between 3 and 11, what is the common difference of the arithmetic progression?

    • a) 2
    • b) 3
    • c) 4
    • d) 5

    Answer: a) 2

  3. 18. The arithmetic mean of 6 and 12 is inserted between 2 and 10. What is the new progression?

    • a) 2, 6, 10, 12
    • b) 2, 4, 6, 10
    • c) 2, 6, 8, 12
    • d) 2, 5, 10, 12

    Answer: a) 2, 6, 10, 12

  4. 19. How many arithmetic means are required to be inserted between 7 and 21 so that the first term is 7 and the last term is 21?

    • a) 1
    • b) 2
    • c) 3
    • d) 4

    Answer: b) 2

  5. 20. If two arithmetic means are inserted between 10 and 30, what is the 4th term of the resulting arithmetic progression?

    • a) 16
    • b) 18
    • c) 20
    • d) 24

    Answer: b) 18

  6. 21. If two geometric means are inserted between 3 and 27, what is the geometric progression formed?

    • a) 3, 9, 27
    • b) 3, 6, 12, 27
    • c) 3, 6, 18, 27
    • d) 3, 8, 16, 27

    Answer: a) 3, 9, 27

  7. 22. The geometric mean inserted between 4 and 64 is:

    • a) 8
    • b) 16
    • c) 12
    • d) 10

    Answer: a) 8

  8. 23. If 4 geometric means are inserted between 1 and 64, what is the common ratio of the resulting geometric progression?

    • a) 2
    • b) 3
    • c) 4
    • d) 5

    Answer: a) 2

  9. 24. What is the geometric mean inserted between 2 and 18?

    • a) 4
    • b) 6
    • c) 9
    • d) 12

    Answer: b) 6

  10. 25. If 3 geometric means are inserted between 5 and 125, what is the 4th term of the resulting geometric progression?

    • a) 15
    • b) 25
    • c) 35
    • d) 45

    Answer: b) 25

  11. 26. If three arithmetic means are inserted between 4 and 16, what is the 5th term of the resulting arithmetic progression?

    • a) 10
    • b) 12
    • c) 14
    • d) 15

    Answer: b) 12

  12. 27. If three geometric means are inserted between 2 and 32, what is the common ratio of the resulting geometric progression?

    • a) 2
    • b) 3
    • c) 4
    • d) 5

    Answer: a) 2

  13. 28. If two arithmetic means are inserted between 5 and 20, what is the 3rd term of the resulting progression?

    • a) 10
    • b) 12
    • c) 15
    • d) 18

    Answer: b) 12

  14. 29. If three geometric means are inserted between 1 and 81, what is the first term of the geometric progression?

    • a) 3
    • b) 9
    • c) 6
    • d) 4

    Answer: b) 9

  15. 30. If two geometric means are inserted between 3 and 24, what is the 3rd term of the resulting geometric progression?

    • a) 6
    • b) 9
    • c) 12
    • d) 15

    Answer: b) 9



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