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Mathematics

Progressions MCQs

Practice Progressions MCQs for competitive exams.

Progressions MCQs

Practice questions from this topic.

The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

  1. A. 44
  2. B. 22
  3. C. 19
  4. D. 46
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If a rubber ball consistently bounces back $$frac{{2}}{{3}}$$ of the height from which it is dropped, what fraction of its original height will the ball bounce after being dropped and bounced four times without being stopped?

  1. A. $$frac{{16}}{{81}}$$
  2. B. $$frac{{16}}{{27}}$$
  3. C. $$frac{{4}}{{9}}$$
  4. D. $$frac{{37}}{{81}}$$
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The sum of the three numbers in A.P is 21 and the product of the first and third number of the sequence is 45. What are the three numbers?

  1. A. 5, 7 and 9
  2. B. 9, 7 and 5
  3. C. 3, 7 and 11
  4. D. Both (A) and (B)
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Given A = 2 65 and B = (2 64 + 2 63 + 2 62 + ..... +2 0 ), which of the following is true?

  1. A. B is 2 64 larger than A
  2. B. A and B are equal
  3. C. B is larger than A by 1
  4. D. A is larger than B by 1
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What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?

  1. A. 897
  2. B. 1,64,850
  3. C. 1,64,749
  4. D. 1,49,700
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How many 2-digit positive integers are divisible by 4 or 9?

  1. A. 32
  2. B. 22
  3. C. 30
  4. D. 34
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The next term of the A.P., $$sqrt 7 ,$$ $$sqrt {28} ,$$ $$sqrt {63} ,$$ . . . . . .

  1. A. $$sqrt {70} ,$$
  2. B. $$sqrt {84} ,$$
  3. C. $$sqrt {97} ,$$
  4. D. $$sqrt {112} ,$$
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The sum of first 20 odd natural numbers is

  1. A. 100
  2. B. 210
  3. C. 400
  4. D. 420
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The sum of n terms of two A.P.’s are in the ratio 5n + 4 : 9n + 6. Then, the ratio of their 18 th term is

  1. A. $$frac{{179}}{{321}}$$
  2. B. $$frac{{178}}{{321}}$$
  3. C. $$frac{{175}}{{321}}$$
  4. D. $$frac{{176}}{{321}}$$
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If S n denote the sum of n terms of an A.P. with first term a and common difference d such that $$frac{{{S_x}}}{{{S_{kx}}}}$$ is independent of x, then

  1. A. d = a
  2. B. d = 2a
  3. C. a = 2d
  4. D. d = -a
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The 9 th term of an A.P. is 449 and 449 th term is 9. The term which is equal to zero is

  1. A. 50 th
  2. B. 502 th
  3. C. 508 th
  4. D. None of these
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In an AP, S p = q, S q = p and S denotes the sum of first r terms. Then, S p+q is equal to

  1. A. 0
  2. B. – (p + q)
  3. C. p + q
  4. D. pq
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