Latest Elitmus Aptitude Question SOLUTION: A B C x D E ---------- F E C D E C ---------- H G B C

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(#M40011018) ELITMUS Logical Reasoning question cryptarithmetic Keep an EYE

A B C
x D E
----------
F E C
D E C
----------
H G B C

Asked In Elitmus yashi (11 years ago)

Unsolved Read Solution (19)

Is this Puzzle helpful?   (84)   (33) Submit Your Solution Cryptography

Read Solution (19) :

MUTHU BHARATHI MASILAMANI  (11 years ago)

A B C
x D E
----------
F E C
D E C
----------
H G B C
In the second partial product we see D x A = D, hence A = 1.

D x C and E x C both end in C, hence C = 5.

D and E must be odd. Since both partial products have only three digits, neither can be 9. This leaves only 3 and 7. In the first partial product E x B is a number of two digits while in the second partial product D x B is a number of only one digit. Thus E is larger than D, so E = 7 and D = 3.

Since D x B has only one digit, B must be 3 or less. The only two possibilities are 0 and 2. B cannot be zero because 7B is a two-digit number. Thus B = 2.

By completing the multiplication, F = 8, E = 7, and G = 6. The answer is 125 x 37 = 4625

Is this solution Helpfull? Yes (32) | No (6)  

Garima  (11 years ago)

125x37 = 4625

125
x37
-----
-875
375-
----
4625

Is this solution Helpfull? Yes (10) | No (3)  

Sanket Kumar  (11 years ago)

please elaborate.I mean how 125 and 37 came.thanks

Is this solution Helpfull? Yes (7) | No (4)  

Garima  (11 years ago)

Here ABCxDE= HGBC

it means BC can be 25 and D and E will be some odd numbers such that D*C and E*C are having C(5) at unit place ). Also B and C are not having value equal to 1. So values of D and E can be 3,7,9 only.
Further A should be such that its product with E or D should not give 2 digit number. So A can be 1 only. ( 2 is already booked for B)
If A is 3, then its product with 7 or 9 will give 2 digit value.

so ABC is 125 only and DE can be 37 or 73 only.

Is this solution Helpfull? Yes (6) | No (8)  

mayank pandey  (11 years ago)

refer to maxey brooke book for mre cryptic multiplication questions

Is this solution Helpfull? Yes (5) | No (2)  

Lovejeet Singh  (11 years ago)

Please Explain Garima !!!

Is this solution Helpfull? Yes (4) | No (6)  

akash kumar sharma  (10 years ago)

http://cryptarithmetic.wordpress.com/2013/01/25/multiplication-problem-1/
refer this.... i probably think it will be helpful....

Is this solution Helpfull? Yes (3) | No (1)  

PANKAJ KUMAR TRIPATHI  (11 years ago)

1 2 5
x 3 7
-----------
8 7 5
3 7 5
----------
4 6 2 5

Is this solution Helpfull? Yes (2) | No   

jayavardhan  (11 years ago)

plz can any one explian the rules for this problem

Is this solution Helpfull? Yes (2) | No (4)  

NUTAN SINGH  (11 years ago)

can ny1 help me to understand cryptarithmetic. Is der ny site wich cn help me 2 understand it in a better way

Is this solution Helpfull? Yes | No (2)  

komal J  (11 years ago)

garima plz tel clearly..

Is this solution Helpfull? Yes | No (1)  

Hariom Singh  (11 years ago)

Anyone can tell me how to solve dis type of ques?

Is this solution Helpfull? Yes | No (4)  

pankaj kumar  (9 years ago)

how we know that here d*a =1

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KUMAR VISHWAJIT DHIRU  (8 years ago)

FIRST CHECK WHICH DIGIT CAN NOT BE 0=H,D,F,E,A
THEN CHECK WHICH DIGIT IS NOT 1=H,D,E,C
STEP 1:
HERE C*E=C
I.E C=5 AND E= ODD DIGIT(3,7,9)
OR
E=6 AND C=EVEN NUMBER(2,4,8,)
LET TAKE C=5,E=3 THEN B=8(E+C)BUT IT NOT SATISFY CONDITION ON MULTIPLYING E=5 WHICH IS NOT POSSIBLE
NOW TAKE C=5,E=7,THAN B=2 SO D IS ODD NUMBER BCZ(D*C=C AND C=5)POSSIBLE VALUE(3,9)
PUT D=3 THAN YOU GET H=4(H=D+1) AND VALUE OF A(A1>9 SO VALUE OF A=1 BCZ A*E!>9 WHERE E=7) THEN F=8 G=6 YOU GET

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shashank kumar  (8 years ago)

A B C
x D E
--------
F E C
D E C
-------
H G B C
===========
1 2 5
x 37
------
8 7 5
3 7 5
-------
4 6 2 5
--------
A =1 B= 2 C =5 D = 3 E = 7
H=4 G=6

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Yash Puri  (8 years ago)

a=1, b=2, c=5, d=3, e=7,h=4

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prashant  (7 years ago)

1 2 5
x3 7
-----------------
8 7 5
3 7 5x
-------------------
4 6 2 5

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Kundan Kumar  (7 years ago)

http://www.elitmuszone.com/elitmus/cryptarithmetic-problem-1/

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Shreya Singh  (1 year ago)

125
x37
--------
875
+375
--------
4625

A=1
B=2
C=5
D=3
E=7
F=8
G=6
H=4

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