SBI Associate Clerk 2008

The given series is based on the following sequence,

(12+1)*0.5 = 6.5

(6.5+1)*1 = 7.5

(7.5+1)*1.5=12.75

(12.75+1)*2 = 27.5

(27.5+1)*2.5 = 71.25

(71.25+1)*3 = 216.75

Each number in the series is 1.5 times the preceding number.

Hence, 16*1.5 = 24

24*1.5 = 36

36*1.5 = 54

54*1.5=81

81*1.5 = 121.5

So, the next number is 121.5*1.5 = 182.25

The ratio between preceding terms of the sequence are in a fibonacci sequence.

For example, 12/12 = 1

18/12 = 1.5

45/18 = 2.5 (which is 1+1.5)

180/45 = 4 (which is 1.5+2.5)

1170/180 = 6.5 (which is 2.5+4)

Hence, the next ratio would be 4+6.5=10.5

And the required number is 1170*10.5 = 12285

The difference between consecutive terms of the series is a perfect square.

For example,

23-22 = 1

27-23 = 4

36-27 = 9

52-36 = 16

77-52 = 25

Hence, the next difference between the numbers will be 36 and the required number is 77+36 = 113

The given terms are in the following series,

14 = 16*1 - 2*1

24 = 14*2 - 2*2

66 = 24*3 - 2*3

256 = 66*4 - 2*4

1270 = 66*5 - 2*5

Hence, the next term equals 1270*6 - 2*6 = 7608

The total number of boys in the year 2004 is 672+540+859+778+781 = 3630

The number of boys in the Arts stream in 2004 is 672

The total number of boys in the Arts stream in all the years equals 556+763+672+809+745+698 = 4243

Hence, the required percentage is 672/4243*100 = 15.84% ~ 16%

The total number of boys in 2007 equals 698 + 765 + 571 + 1288 + 1151 = 4473

The total number of girls in 2007 equals 413 + 616 + 515 + 1016 + 1010 = 3570

Hence the ratio equals 4473:3570 = 213*21 : 170*21 = 213:170

The total number of boys in the Management stream in all the years equals 770+667+778+849+562+1288 = 4914

The total number of girls in the Management stream in all the years equals 633+439+727+729+938+1016 = 4482

Hence the required ratio is 4914:4482 = 91*54 : 83*54 = 91:84

The total number of girls in the commerce stream in the years given are 612+616+713+811+819+515 = 4086

The number of years is equal to 6.

Hence, the required average is 4086/6 = 681