infosys
Exam
Numerical Ability
Number System
If abcde is a five digit number and abcde*4=edcba, then what is the value of b+c+d?
Read Solution (Total 7)
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- hy .. can you tell me that these questions are of infosys recently ?
- 9 years agoHelpfull: Yes(15) No(5)
- how can we find that number 21978???
- 9 years agoHelpfull: Yes(9) No(2)
- A must be 1 or 2 since any other number would means that the answer would have 6 digit. A also have to be even since 4 time any number is even. thus A is 2. E would have to be 3 or 8. but E cannot be 3 since the last digit have to be 8 or 9. thus E is 8. now 4xB must be less than 10 thus B is one or 2. but A is already 2 thus B is one. 4 x D +3 must end with 1 two possible digit 2 and 7 but 2 already used thus D is 7. 4xC+2 must end with C. two possible numbers 0 and 9. now verify the options
- 8 years agoHelpfull: Yes(9) No(1)
- 21978*4=87912 then b+c+d=1+9+7=17
- 9 years agoHelpfull: Yes(6) No(3)
- Since EDCBA is a 5-digit number, we know ABCDE is < 1/4 × 100000.
ABCDE < 25000, so A is 1 or 2.
But EBCDA is a multiple of 4, so it is even, so A = 2.
4 * ....E = ....2, so E is either 3 or 8.
But, 4 × 2nnnn cannot be 3nnnn so E is 8.
We have 2BCD8 * 4 = 8DCB2.
and therefore 4 × BCD + 3 = DCB.
Let's look at it case by case, for values of D:
D = 1, B = 7
D = 2, B = 1
D = 3, B = 5
D = 4, B = 9
D = 5, B = 3
D = 6, B = 7
D = 7, B = 1
D = 8, B = 5
D = 9, B = 9
D = 0, B = 3
But B cannot be greater than 2, or there would be a carry, and B cannot
be equal to 2, since A = 2 (and we assume each letter represents a
different number).
So, B = 1 and D = 2 or 7.
But again, A is already 2, so D = 7.
So we have 21C78 * 4 = 87C12
We now have 4 * C + 3 = C (mod 10)
3*C = 7 mod 10
and therefore C = 9
So the answer is 21978 * 4 = 87912 - 7 years agoHelpfull: Yes(2) No(0)
- A-2,B -1,C-9,D-7,E-8
Therefore B+C+D= 17 - 9 years agoHelpfull: Yes(1) No(2)
- 21978
*4
________
87912
so b+c+d=17 - 9 years agoHelpfull: Yes(1) No(4)
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