Question
A series is 11, 20, 42, 82, 166, 330 If another
series 4, a, b, c, d, 106 follows the same pattern as the given number series, then find the approximate value of (c + d) x (c – a)%.Solution
11, 20, 42, 82, 166, 330 11 x 2 – 2 = 20 20 x 2 + 2 = 42 42 x 2 – 2 = 82 82 x 2 + 2 = 166 166 x 2 – 2 = 330 So, we will follow same pattern in series 4, a, b, c, d, 106. 4 x 2 – 2 = 6 (a) 6 x 2 + 2 = 14 (b) 14 x 2 – 2 = 26 (c) 26 x 2 + 2 = 54 (d) 54 x 2 – 2 = 106 Now, (c + d) x (c – a)% => (26 + 54) x (26 – 6)% => 80 x 20/100 = 16
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