Question :
Directions : Read the data carefully and answer the following questions.
Below given are two series. Series 1 and series 2 contain one missing term in each. Both series have different pattern.
Series 1: 15, 17, 11, 23, P, 33
Series 2: 48, 98, Q, 398, 798, 1598
If (P + Q) is one of the roots of equation x2 - (5K + 13)x - 45K + 12 = 0, then find the value of K.
Solution :
Series 1:
15, 17, 11, 23, P, 33
P = 3
Series 2:
48, 98, Q, 398, 798, 1598
(48 + 1) * 2 = 98
(98 + 1) * 2 = 198
(198 + 1) * 2 = 398
(398 + 1) * 2 = 798
(798 + 1) * 2 = 1598
Q = 198
P + Q = 3 + 198 = 201
x2 - (5K + 13)x - 45K + 12 = 0
2012 - (5K + 13)*201 - 45K + 12 = 0
40401 - 1005K - 2613 - 45K + 12 = 0
1050K = 37800
K = 36
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