Latest Elitmus Aptitude Question SOLUTION: why * nut -------- oonp oypy ouha ------- onepop ------- each letters have digits from 0-9 find the nos?

breaking the above question
first multiplication part..

why*t=oonp
why*u=oypy
why*n=ouha
now since we are getting 'o' in the above three multiplication on the xtreme left side it must be one only..
so taking 'o'=1
we get..
why why why
* t * u * n
---- ---- ----
11np 1ypy 1uha
---- ---- ----
(1) (2) (3)
now carefully xamining the above multiplications..in (2)multiplication when y is multipliedby u it is giving y only...dat means y can be 0 or u must be 6, but in the (1),(3) part when y is multiplied by t and n resp it doesnt gives y so dat means y could not be zero hence u must be 6 because as we know..
6*2=12..at once place 2.. i.e the same nos by which 6 is multiplied..
also 6*4=24..once place 4..
6*6=36...once place 6..
so 6*y=y...once place y...
hence u =6 and y must be some even nos...bcz the above logic of 6 is only applicable for even nos multiplied by u 6 and not for odd nos multiplied by 6..
now again placing value of u in part (1),(2),(3)..
now moving to addition part..dat is...
oonp p=p
+ oypy placing o=1 n+y=o
+ouha u=6 and splitiing addition 1+p+a=p
-------- 1+y+h=e
onepop 1+6=7 which is n ,so n is 7
-------- 1=1
17ep1p

now again by putting values of o,u and n in 1,2,3 multiplication part and by using addition equations side by side we will get the answer as
o=1 ,u=6 ,n=7,y=4,a=8,p=0,h=3,w=2,t=5,e=9
the above answers ,we will get dese solutions in the same order as written above...kk
i thnk dis is enough for xplanation part..by hit and trial...only we can easily get the desired result...hope it is helfull...

234x765 = 179010

234
x765
-----
--1170
-1404
1638
--------
179010

In prerna singh solution:
--------------------------------------------------------------------------------
now carefully xamining the above multiplications..in (2)multiplication when y is multipliedby u it is giving y only...dat means y can be 0 or u must be 6, but in the (1),(3) part when y is multiplied by t and n resp it doesnt gives y so dat means y could not be zero hence u must be 6 because as we know..
-------------------------------------------------------------------------------
if in(2)multiplication when y is multiplied by u it gives y only so why can't we
use y=5 and u=3,or y=5 and u= 7 etc in all these if we multiply y with u it will give y . So how can we go directly for y=6 ?? or is there any other clue so that we should stick to y=6 ??can anyone explain plz..

in the result i.e,
oonp
oypy
ouha
all the letters are 'o'
hence it is '1'
u*y gives y
it means y should be 5 or 6
if y=5 u=3,7,9
if u=6 y=2,4,8
substitute u=6 and y=4
u will get all the remaining numbers very easily.

234
765
--------
1170
1404
1638
--------
179010
--------

please .......................................

can anyone describe briefly how to solve this type of question ...............