Latest Infosys Aptitude Question SOLUTION: USA+USSR=PEACE;P+E+A+C+E=?

USA => 932
USSR=> 9338
PEACE=> 10270

P+E+A+C+E = 1+0+2+7+0 = 10

can u xplain in detail how u got 932 for usa

gaurav how u got 932 for usa can u explain deeply.

manjula
bangalore

WHEN ADDING A 3 DIGIT NUM AND 4 DIGIT NUM TO GET 5 DIGIT NUM THEN DEFINITELY U SHOULD BE 9.MAXIMUM CARRYOVER WHILE ADDING TWO DIGITS IS 1.HENCE P IS 1.TO GET A 0 IN ONE'S PLACE BY ADDING TWO NON ZERO DIGITS THE ONLY POSSIBILTY THAT ,THE DIGITS YOU ADD WHEN ADDED SHOULD GIVE YOU 10 HENCE THERE IS A CARRY OVER FOR S+S HENCE THE C SHOULD BE A ODD DIGIT(3,5,7)

USA -932
USSR-9338
PEACE-10270
P+E+A+C+E=10 Ans

USSR=> 9 7 7 4
USA=> 9 7 6
PEACE=>10 6 5 0

P+E+A+C+E= 12 this is also the correct ans i think..

U S A
+ U S S R
------------
P E A C E

summing up a four digit number with a 3 digit no can result into a 5 digit number only when the 4 digit number is at least 9001 because the 3 digit number can be at max 999(though in actual case its not possible because no three letters in USA are equal).so U has to be 9.now in hundredth place when two numbers are added it can result up to a max of carry 1.now when that carry is added to 1000th place U,and when U is already 9,so E becomes 0 and P becomes 1.so E in units place result is also 0.so A+R=10.that offers carry 1 in tens place with one S in each number in the same adding place.sum of two S is even,and adding 1 gives an odd number.so C in result can be one in 3,5,7 and not 1 or 9 because 1 and 9 are already placed in solution having a different character.now (S+S+1) should be such that it should not generate any carry because an at max carry 1 is added to 9 and S which results to be an S(9+1=10...so 10+S=S).but result is A,a different number.if S=1 in tens place in both numbers then having 1 in hundredth will result to 1 which is not possible .applying a bit of trial we see that S=3 fits.so A becomes 2.so 932+9338=10270 implies P+E+A+C+E= 2+7+1=10..i hope this works..:)

932 + 9338 = 10270

@manjula R i write a program which gives me all possible set which satisfy the eqation. my program give me 5 result

0483
4882
05365

0865
8664
09529

0876
8773
09649

932
9338
10270

only 10270 have 5 latter so the ans is this.

@ Gaurav
Can you share that program
As my approach is generate cycle and test

USA=654
USSR=6553
PEACE=17207
P+E+A+C+E=17

How 932 and 9338 coded for USA and USSR????

The ANS
P+E+A+C+E===1+0+2+7+0==10