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You are here: Home / Question and Answers

20, 4, 24, 64, 30, 196, 38, ?

A. 

361

B. 

441

C. 

400

D. 

420

Answer
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Answer with explanation

Answer: Option C

Explanation

Here we see ups and downs in the series so there is a chance of 2 separate series
We can have 20 24 30 38 as one series
And 4 64 196 as other series.
Both series occur alternately so next term has to be of the second series.
In first series difference is
24 – 20 = 4
30 – 24 = 6
38 – 30 = 8
So, difference increases by 2
In second series, We see they are squares i.e. 22, 82, 142
8-2 = 6
14-8 = 6
So next number, ? – 14 has to be = 6
So, ? = 14+6 = 20
So next term is 202 = 400

Workspace

Comments

  1. Rahul says

    January 28, 2020 at 3:49 pm

    20,4,24,64,30,196,38,__

    Reply
    • Saran Harika says

      January 28, 2020 at 4:54 pm

      Here we see ups and downs in the series so there is a chance of 2 separate series
      We can have 20 24 30 38 as one series
      And 4 64 196 as other series.
      Both series occur alternately so next term has to be of the second series.
      In first series difference is
      24 – 20 = 4
      30 – 24 = 6
      38 – 30 = 8
      So, difference increases by 2
      In second series, We see they are squares i.e. 2^2, 8^2, 14^2
      8-2 = 6
      14-8 = 6
      So next number, ? – 14 has to be = 6
      So, ? = 14+6 = 20
      So next term is 20^2 = 400

      Reply

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