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. 1, 601, 721, 751, a, 766
II. 753, 769, b, 765, 763, 764
III. 23, 24, 50, 153, c, 3085

Options

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

Answer

B

Explanation

Pattern of the series I :
`{:(1 + 600 = 601 ),(600 + 600//5 = 721" "(600//5=120)),(721 + 120//4=751" "(120//4=30)),(751 + 30//3 = 761" "(30//3 = 10)),(761 + 10//5 = 766" "(10//2-5)):}`
So, a = 761
Pattern of the series II :
`{:(753 + 16 = 769),(769 – 8 = 761 ),(761 + 4 = 765 ),(765 – 2 = 763 ),(763 + 1 = 764 ):}`
So, b = 761
Pattern of the series III .
`{:(23 xx 1 + 1 = 24 ),(24 xx 2 + 2 = 50 ),(50 xx 3 + 3 = 153 ),(153 xx 4 + 4 = 616 ),(616 xx 5 + 5 = 3085 ):}`
So, C = 616
Hence, ` a = b gt c `