In each of the following questions a number series is given. After the series a number is given followed by (A), (B), (C), (D) and (E). Complete the series starting with the number given following the sequence of the given series. Then, answer the question given below each:
1 9 65 393
2 (A) (B) (C) (D) (E)
Which of the following numbers will come in place of (C)?

490

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729

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854

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734

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None of these

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Solution

The correct option is B 729
The pattern followed by the numbers of the given series is:
9 = 8 $\times$ 1 + 1; 65 = 7 $\times$ 9 + 2
393 = 6 $\times$ 65 + 3
(A) = 8 $\times$ 2 + 1 = 17
(B) = 7 $\times$ 17 + 2 = 121
(C) = 6 $\times$ 121 + 3 = 729
(D) = 5 $\times$ 729 + 4 = 3649
(E) = 4 $\times$ 3649 + 5 = 14601.

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The correct option is B 729The pattern followed by the numbers of the given series is: 9 = 8 × 1 + 1; 65 = 7 × 9 + 2 393 = 6 × 65 + 3 (A) = 8 × 2 + 1 = 17 (B) = 7 × 17 + 2 = 121 (C) = 6 × 121 + 3 = 729 (D) = 5 × 729 + 4 = 3649 (E) = 4 × 3649 + 5 = 14601.