Accenture
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Logical Reasoning
Cryptography
HOW+MUCH=POWER.Find the value of P+O+W+E+R.
a. 12 b.14
c. 16 d. 10
Read Solution (Total 14)
-
- a.12
7 0 5
9 8 3 7
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1 0 5 4 2 - 10 years agoHelpfull: Yes(9) No(1)
- p+o+w+e+r = 77 =7+7=14 ans = 14
- 10 years agoHelpfull: Yes(7) No(7)
- How is a 3 digit number and Much is a 4 digit number and we got a 5 digit number. So left most digit is 1. (999 + 9999 = 19998).
If you add two single digit numbers we get a maximum sum of 18. i.e., maximum carry over is 1. 1 + M = 10. So M = 9. and O = 0.
Now the remaining digits available are 2, 3, 4, 5, 6, 7, 8.
As O = 0, C + 1 = E, i.e., C and E are consecutive intezers. and E - C = 1
Also, W + H = 10 + R ------(1), and H + U = 10 + W or H - W = 10 - U ------(2)
Solving 1 and 2, we get 2H = 20 - (U - R)
Now maximum value of U - R is 9. So 2H minimum value is 12, 14 etc as 2H is even.
Say U - R = 8. only possible pairs are (9, 1), (8,0). Both are not possible as As M = 9 and O = 0.
Say U - R = 6. Possible pairs are (9, 3), (8, 2), (7, 1), (6, 0). Only (8,2) possible.
6 0 W
9 8 C 7
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105 E 2
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As C and E are consequtive intezers, possible values for them are 3, 4. and W should take 5.
7 0 5
9 8 3 7
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10 5 4 2 - 10 years agoHelpfull: Yes(6) No(1)
- cryptarithmetic logic------ P(1)+O(0)+W(5)+E(3)+R(1)
total=1+0+5+3+1= 10 - 10 years agoHelpfull: Yes(2) No(3)
- How =705 and Much=9837 ...
can any one explain it ? - 10 years agoHelpfull: Yes(1) No(0)
- plzzzz.. someone expain the solution clearly i didn't understand..
- 10 years agoHelpfull: Yes(1) No(0)
- By trial and error MUCH=9837
and HOW=705
so POWER=10542
1+0+5+4+2=12... - 10 years agoHelpfull: Yes(1) No(2)
- power=77 and 7+7=14
- 10 years agoHelpfull: Yes(0) No(0)
- answer is 10 .
- 10 years agoHelpfull: Yes(0) No(1)
- @arun 4m wer did u get the values for p,o,w,e,r??
- 10 years agoHelpfull: Yes(0) No(0)
- please explain this cyrptography problemz..amo not understnading anything from dis..............i want the clear explanation.......please..........
- 10 years agoHelpfull: Yes(0) No(0)
- 12
705+9837= 10542 - 10 years agoHelpfull: Yes(0) No(0)
- this is a cryptarithmetic problem. it can be solved using artificial intelligence method.
by hit trial method, we will solve the equations
first let assume P=1
now, we see that if M assumed to be 9 and adding previous carry to it we get, we get 10 in which 1= P and 0=O.
so three letters are solved i.e. P=1, M=9 and O=0.
using these three we can solve other equations and find easily values of other remaining letters. - 7 years agoHelpfull: Yes(0) No(1)
- P(1)+O(0)+W(5)+E(3)+R(1)
total=1+0+5+3+1= 10 - 3 Months agoHelpfull: Yes(0) No(0)
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