Question

Select the option which will continue the given Series
A50G,I306O,Q818W,Y650E,?
A. H245J
B. G245M
C. G218M
D. M218G
GIVE THE REASON FOR THE ANSWER.

Answer 1

hey mate
here's the solution

Answer 2

the next term in sequence will be Option C - G218M

Given Series  

A50G , I306O , Q818W , Y650E , ?

Taking the first term ,

A50G

Alphabetical value of A = 1

Alphabetical value of G = 7

Difference between both the values = 7 - 1 = 6

Also,

1² + 7² = 1 + 49 = 50

Now,

After 7 next odd number is 9

And 9 is alphabetical value of I

Also, 9 + 6 = 15 , and

15 is alphabetical value of O

Also,

9² + 15² = 81 + 225 = 306

Hence, the next term in sequence is I 3 0 6 O

Following the similar pattern,

After 15 next odd number is 17

And 17 is alphabetical value of Q

17 + 6 = 23 , and

23 is alphabetical value of W

Also,

17² + 23² = 289 + 529 = 818

Hence, the next term in sequence is Q 8 1 8 W

After 23 next odd number is 25

And 25 is alphabetical value of Y

25 + 6 = 31 ,

But since alphabet has only 26 letters, we will again start from 1

So,

31 - 26 = 5

and

5 is alphabetical value of E

25² + 5² = 625 + 25 = 650

Hence, the next term in sequence is Y 6 5 0 E

Similarly,

After 5 next odd number is 7

And 7 is alphabetical value of G

Also, 7 + 6 = 13 , and

13 is alphabetical value of M

7² + 13² = 49 + 169 = 218

Hence, the next term in sequence will be G218M