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:
8, 49, 288, 1435, 5736,
5 (A), (B), (C), (D), (E)
Which of the following numbers will come in place of (E)?

162

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805

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9645

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3216

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Solution

The correct option is C 9645
The pattern is
5736 = 4 $\times$ 1435 - 4
1435 = 5 $\times$ 288 - 5
288 = 6 $\times$ 49 - 6
49 = 7 $\times$ 8 - 7
$∴$ (A) = 7 $\times$ 5 - 7 = 28
(B) = 6 $\times$ 28 - 6 = 162
(C) = 5 $\times$ 162 - 5 = 805
(D) = 4 $\times$ 805 - 4 = 3216
(E) = 3 $\times$ 3216 - 3 = 9645.

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The correct option is C 9645The pattern is 5736 = 4 × 1435 - 4 1435 = 5 × 288 - 5 288 = 6 × 49 - 6 49 = 7 × 8 - 7 ∴ (A) = 7 × 5 - 7 = 28 (B) = 6 × 28 - 6 = 162 (C) = 5 × 162 - 5 = 805 (D) = 4 × 805 - 4 = 3216 (E) = 3 × 3216 - 3 = 9645.