Direction: In each of the following questions a number series is given. A number is given after the series and then (a), (b), (c), (d) and (e) are given. According to the given series, you have to form a new series which begins with the given number, and then answer the question asked.
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5 6 16 57 244 1245 2 (a) (b) (c) (d) (e) Which of the following numbers will come in place of (d) ?
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- 46
- 39
- 156
- 173
- None of these
Correct Option: E
As per the details in the question the series is in the form of
First series :-
First term = 5
Second term = First term × 1 + 12
⇒ Second term = 5 × 1 + 1 = 6
Third term = Second term × 2 + 22
⇒ Third term = 6 × 2 + 4 = 16
similarly , we can find the all others terms .
Second series :-
First term = 2
Second term = First term × 1 + 12
⇒ Second term = 2 × 1 + 1 = 3
Third term = Second term × 2 + 22
⇒ Third term = 3 × 2 + 4 = 10
Fourth term = Third term × 3 + 32
⇒ Fourth term = 10 × 3 + 9 = 39
Fifth term = Fourth term × 4 + 42
⇒ Fifth term = 39 × 4 + 16 = 172
Hence , the place value of ( d ) is 172 .