In the following questions 3 series are given. You have to find the value of a, b and c by identifying the pattern of the series and then you have to establish the relation among a, b and c?
I. 102, 107, 117, 134, a
II. 130, 115, 135, 110, b
III. c, 80, 120, 300, 1050

Options

A. `b lt a = c`
B. ` b gt a = c`
C. ` b = a gt c `
D. ` b = a lt c `

Answer

A

Explanation

Pattern of the series I (double difference) :
`{:(107 – 5 = 102 ),(117 – (5 + 5) = 107 ),(134 – (5 + 5 + 7) = 117 ),(134 – (5 + 5 + 7 + 9) = 160 ):}`
So, a = 160
Patter of the series II :
`{:(130 – 15 = 115 ),(115 + 20 = 135 ),(135 – 25 = 110 ),(110 + 30 = 140 ):}`
So, b = 140
Pattern of the series II :
`{:(160 xx 0.5 = 80 ),(80 xx 1.5 = 120 ),(120 xx 2.5 = 300 ),(300 xx 3.5 = 1050 ):}`
So, c = 160
Hence, `b lt a = c `