Elitmus
Exam
Category
M A D
B E
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M A D
R A E
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A M I D
Read Solution (Total 8)
-
- For sure E=1 as MAD*E=MAD,
M+A=M carry of 1will be generated so A=9 and hence R=8
And so you can try for value of B and M that will give R as 8,so M=2 and B=3
Then I=0 as A+E=10
Finally trying for D wll get its value as 7.
297
*31
=9207 - 9 years agoHelpfull: Yes(6) No(1)
- 297*31
-----------
297
891
----------
9207 - 9 years agoHelpfull: Yes(3) No(1)
- 297*31
-----------
297
891
----------
9207 - 9 years agoHelpfull: Yes(2) No(0)
- 297
31
---------
297
891
-------
9207 - 9 years agoHelpfull: Yes(1) No(1)
- 297
*31
-----------
297
891
---------
9207
-----------
is the correct answer.... - 9 years agoHelpfull: Yes(1) No(0)
- btw the question is not written in order...
M A D
* B E (Its a multiplication * wont be in question)
---------
M A D
R A E 0
------------
A M I D
E=1*MAD=MAD 1st step
B*D=(sth)1 cuz B*D=(sth) E and E=1 so B/D are 3/7 (dont know which one is which in this step)
now possibilities
if(B==3){
if(A==4){
B*A=3*4=12+2=14 // (+2 cuz carry is 2 since 3*7=21) (B*A must give (sth)A in this case 14=(sth)4)
}
if(A==9){
B*A=3*9=27+2=29
}
}
if(B==7){
B*A=7*8=56+2=58
}
So...A=4||A=9||A=8
3rd step in addition M+A=M
so...we conclude there is a carry in this step...
cuz suppost M=3 and A=4 so... M+A can never give M so the number M+A must be greater than 10 Eg. is M=3 from addition we should get 13
suppose A=9 so B=3 and D=7
we know E=1
carry 1 from previous addition
so possibilities for M are
if M==1
9+1+1=11
if M==2
9+1+2=12
if M==3
9+1+3=13
...
...till M=9
(last digit has to be M)
but 0/1/3/7/9 are already known so possibilities for M are 2/4/5/6/8 (I=0 since A+E=9+1=10)
Now last step in addition R+carry=A
so possibility for carry in this step is just one i.e 1 cuz from last step M+A gives max 9+9=18(just example)
so R+1=9
so R=8
remaining digits 2/4/5/6
Now last Multiplication
B*M=R i.e 8
we know B=3
so
3*2=6+2(carry from previous step)=8 i.e R
so M=2
Now M=2, A=9, D=7, B=3, E=1
2 9 7
* 3 1
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2 9 7
8 9 1 X
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9 2 0 7 - 9 years agoHelpfull: Yes(1) No(0)
- 297*31=9207
- 9 years agoHelpfull: Yes(1) No(0)
- :) seriously this is no where close to the level of elitmus
- 8 years agoHelpfull: Yes(0) No(0)
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