Progression

Are you preparing for campus placements,Banking,SSC, IAS, Insurance,Defence and other competitive exams? Then, make sure to take some time in practicing the Progression questions and answer in Quantitative Aptitude. Moreover, only those questions are included that are relevant and likely to be asked in any competitive exam. So, take these questions and answer, brush up your skills and practice to stay fully prepared for any your exam.

• Q1. If p, (2p + 2), (3p + 3), … are in GP, then the next term of this sequence is:

  A) 27
  B) -27
  C) 13.5
  D) -13.5
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• Q2.If $$a\in (0,p/2),$$ then $$\sqrt{\left({\text{p}}^2+\text{p}\right)}+\frac{{\tan }^2}{\sqrt{\left({\text{p}}^2+\text{p}\right)}}$$

  A) $$2tana$$
  B) 1
  C) 2
  D) $$se{c}^{2}a$$
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• Q3.If An infinite GP has first term y and sum 50, then y belongs to:

  A) y< –10
  B) –10 < y< 0
  C) 0 < y< 100
  D) y> 10
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• Q4.If p, q, r are in H.P. then ${\log }_e\left(p+r\right)+{\log }_e\left(p-2q+r\right)$ is equal to …………

  A) ${\log }_e\left(p-r\right)$
  B) $2{\log }_e\left|p-r\right|$
  C) $3{\log }_e\left|p-r\right|$
  D) None
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• Q5.If p, q, r, s are in G.P. then the value of ${\left(\text{p}-\text{r}\right)}^2+{\left(\text{q}-\text{r}\right)}^2+{\left(\text{q}-\text{s}\right)}^2-{\left(\text{p}-\text{s}\right)}^2$ is

  A) 2pq
  B) 2
  C) 1
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• Q6.For the given series $\frac{3}{1.2}·\frac{1}{2}+\frac{4}{2.3}{\left(\frac{1}{2}\right)}^2+\frac{5}{3.4}{\left(\frac{1}{2}\right)}^3+\dots$ find the sum to n terms .

  A) $1-\frac{1}{\left(\text{n}+1\right)2^{\text{n}}}$
  B) $1-\frac{1}{\left(\text{n}+1\right)2^{\text{n}-1}}$
  C) $1-\frac{1}{\left(\text{n}-1\right)2^{\text{n}-1}}$
  D) None of these
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• Q7. Find the value of m (m is positive integer), given that the sum of first m positive integers is 1/25 times the sum of their squares.

  A) 35
  B) 36
  C) 37
  D) 38
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