Choose the Correct Alternative Number and Complete the Series

A.  4, 8, 28, 80, 244, ?

  1. 252
  2. 428
  3. 628
  4. 728

B. 165, 195, 255, 285, 345, ?

  1. 375
  2. 390
  3. 420
  4. 405

C. 4, 10, ?, 82, 244, 730

  1. 24
  2. 28
  3. 77
  4. 56

D. 10000, 11000, 9900, 10890, 9801, ?

  1. 10261
  2. 10425
  3. 10781
  4. 10771
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1 Answer(s)

(A) Answer: (4) 728.
Explanation:-
31 = 3+ 1 = 4
32 = 9 – 1 = 8
33 = 27 + 1 = 28
34 = 81 – 1 = 80
35 = 243 + 1 = 244
36 = 729 – 1 = 728

Hence, the answer is 728.

(B) Answer: (1) 375.
Explanation:-

165 + 30 = 195
195 + 60 = 255
255 + 30 = 285
285 + 60 = 345
345 + 30 = 375
Hence, the answer is (1) 375.

(C) Answer: (2) 28
Explanation:-
31 + 1 = 4
32 +1 = 10
33 + 1 = 28
34 + 1 = 82
35 + 1 = 244
36 + 1 = 730
Hence, the answer is (2) 28.

(D) Answer: (3) 10781
Explanation:-
We add and subtract 10% in the term
Thus, 10000+ (10% of 10000)
= 10000 + 1000 = 11000;

= 11000-(10% of 11000)
=  11000 – 1100 = 9900:

9900+ (10% of 9900)
= 9900 + 990 = 10890;
10890 – (10% of 10890)
= 10890 – 1089 = 9801;
So, missing term=9801+ (10% of 9801) = 9801+980=10781.

Hence, the answer is (3) 10781.

Anurag Mishra Professor Answered on 9th June 2015.
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