# If 532=1561028, 641=244630, 785=564035123 then 821=?

+1 vote
1,386 views
posted Apr 1, 2014

## 1 Solution

+1 vote

Ans is 162824.
Here the logic is..
532=(5*3)(3*2)(2*5)(5*3+3*2+2*5-middle digit of 532 i.e., 3)
So 532=1561028

Same logic is applicable for all
So 821=1628(16+2+8-2(middle digit of 821))
Now the ans is 162824

solution May 27, 2015

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+1 vote

3 rational numbers form a geometric progression in its current order.

1. If 8 is added to the middle number, then this new sequence forms an arithmetic progression.
2. If 64 is later added to the last number, then this yet another sequence forms a geometric progression again.
3. First number of these sequences is an integer.

Find the numbers?