Latest elitmus Aptitude Question SOLUTION: a multiplication is given below where each letter represents a single digit and no two no.s are represented by the same letter: W H Y N U T -------------------

logical simple solution:-
after analyzing the multiplication the basic logical deductions are:-
1. O + A = 9. (AS O+P+A=P which is only possible if O+A=9)
2. U=6. as U * Y= Y. SO EITHER U=1 OR U=6(U=1 not possible as U*(W H Y)=O Y P Y)
SINCE U=6, THEN Y MUST BE AN EVEN INTEGER.(6 * 2 =10 + 2, 6 * 4= 20 +4 ...)
3. Also from column 2, N + Y = 10 + O.
4. Also A and P must be even as Y is even.
ALGORITHM:-
# if there is a carry from column 4 to column 5 then:-
1 + O + U = N. implies O + 7 = N (AS U=6)...equation...4.
since there is no carry from column 5 to column 6 last column.
implies... O can be 0, 1 or 2 only.
IF O=0, THEN N=7, THEN Y=3 (NOT POSSIBLE AS Y IS EVEN).
IF O=1, THEN N=8, THEN Y=3(NOT POSSIBLE AGAIN)
IF O=2, THEN N=9, THEN Y=3(NOT POSSIBLE AGAIN)
since equation 4 does not satisfies the basic deductions(1,2,3) so it must be wrong.

# so there is no carry from column 4 to column 5...which implies:-
O + U = N.. which means O + 6 = N. ....equation...5.
IF O =0, THEN N=6 (NOT POSSIBLE AS U=6)
IF O =1, THEN N=7, THEN Y=4, A= 8 (even) ... (POSSIBLE AS Y and A IS EVEN).
IF O=2, THEN N=8, THEN Y=4, BUT A=7 SO NOT POSSIBLE.
IF O=3, THEN N=9, THEN Y=4, A=6(even) but since U=6 already(NOT POSSIBLE)

# SO O=1, U=6, N=7, A=8...
NOW H must be a number less than 5..(0,1,2,3,4)
H=1 OR H=4 (NOT POSSIBLE...AS O=1 AND Y=4 )
IF H=0, then E=6 as U= 6, (NOT POSSIBLE)
IF H=2, then E=8 as A=8, (NOT POSSIBLE)
so H=3.
now 7 * (W 3 4)= 1638...implies 7 *w + 2 = 16....implies w=2.
T can be 0 or 5 only...but T cannot be zero so T=5...implies p=0.
so the final multiplication is...
2 3 4
* 7 6 5...

234
*765
------
1170
1404
1638
-----
179010
i)->d
ii)->c
iii)->...?

W=2 H=3 Y=4 N=7 U=6 T=5 P=0 O=1 A=8

how to assign a value 234 to WHY ?
any 1 explain me please......

arjun plz tell me ,how to get in 2nd queation=6 plz elaborate 2nd answer

723
*432
_____
1446
2169
2892
_________
312336

w=2, h=3, y=4,n=7, u=6, t=5

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

NYT is the side of a triangle because 4+5>7. therefore (7,4,5) is the side of triangle.

(why*nut)=234*765
anser(1) - option-(d)so N=7 not divisible by 2
anser(2)- option- (d)8 is appear ones
answer(3)- option - (a)-nyt(7,4,5)

It is cleat that (D+1)=A.
So there are 8 possible values of (D,A)
(1,2)(2,3)(3,4)(4,5)(5,6)(6,7)(7,8)(8,9).

(1,2) is not possible..
So when u substitute D=2 and A=3... u will get the answer in 2 minutes :)

How NYT is the side of a triangle. Can anybody explain.

1) d
2) c
3) a

234
765
..............
1170
1404
1638
............
179010

NYT will be the side of triangle from the properties of the triangle.. ie, sum of any two sides will be always greater then its third side.. so here N=7, Y=4, T=5... 7+4>5, 4+5>7, 7+5>4