Latest TCS Aptitude Question SOLUTION: . 8 6 17 14 35 31 75 _ 143? 3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63? a)202 b)31 c)76 d)49

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. 8 6 17 14 35 31 75 _ 143? 3. Inspired by Fibonacci series Sangeet decided to create his own series which is 1, 2, 3, 7, 7, 22, 15, 67, 31, _, 63?
a)202
b)31
c)76
d)49

Asked In TCS ANUP KUMAR GUPTA (9 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

asmi  (9 years ago)

1st series:
8-6=2 , 17-14=3, 35-31=4 ... so this way 75-5=70 tobe placed in the blank space.
2nd series:
1*2+1=3
3*2+1=7
7*2+1=15 & so on.. for 1,3,,7,15,31,63.... i.e the odd placed numbers in the series 1 2 3 7 7 22 15 67 31__63
now the odd placed numbers in the series are 2,7,,22,67,__, which follows the pattern :
2*3+1=7
7*3+1=22
22*3+1=67
so, the required value is 67*3+1=202

Is this solution Helpfull? Yes (10) | No (1)  

Aastha  (9 years ago)

ans a)202
divide the series in two parts
1,3,7,15,31,63
next 2,7,22,67,__
in next series diff b/w no. is 5,15,45
ie. next no is sum of prev. no+3*diff. of no.

Is this solution Helpfull? Yes (5) | No (1)  

umadevi  (9 years ago)

will u plz explain the solution clearly

Is this solution Helpfull? Yes (2) | No (1)  

Tapas   (9 years ago)

in First series 8 6 17 14 35 31 75 __ 143 will be 70


and the next one 1 2 3 7 7 22 15 67 31 __ 63 will be 202

Is this solution Helpfull? Yes (1) | No (4)  

Yarra Aparna  (9 years ago)

explain clearly.

Is this solution Helpfull? Yes (1) | No (1)  

karuna sri  (9 years ago)

1,2,3,7,7,22,15,67,31,_,63
alternate nos 1,3,7,15 ... (1+2,3+4,7+8)
another series 2,7,22,67,_(7-2=5,22-7=15(5*3),67-22=45(15*3),_-67=45*3)
ans=202

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