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DIRECTIONS: Substitute different digits (0, 1, 2, .....9) for different letters in the problem below, so that the corresponding addition is correct and it results in the maximum possible value of MONEY.
Q. The letter ‘Y’ should be
- a)0
- b)2
- c)3
- d)7
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
DIRECTIONS: Substitute different digits (0, 1, 2, .....9) for differen...
From the pattern it is clear that M = 1, R = 9 and O = 0 as R (single digit no.) becomes a double digit no. (MO) with the addition of 1, carried over from P + E.
R + 1 = MO or 9 + 1 = 10
Further Y + E + L = 10 + Y
or E + L = 10 .......(1)
So 1 is carried over to the second column.
Thus A + M + A + 1 = 10 + E
Using M = 1,
2A + 2 = 10 + E
or 2A = E + 8 ........(2)
⇒ A > 4 and E is even
E ≠ 8 as if E = 8 then A = 8 not possible so E can be 2, 4 or 6
Again, 1 + P + E = 10 + N
or P + E = 9 + N .....(3)
If E = 2, ⇒ P = 7 + N which is not satisfied by any of the remaining number.
So E = 4 or 6
⇒ L = 10 – E ⇒ L = 6 or 4
Again Putting E = 4 in (2)
⇒ A = 6 not possible
So E = 6 ⇒ A = (8+6)/2 = 7
Also, L = 4
In (3), P + 6 = 9 + N ⇒ P – N = 9 – 6 = 3
As MONEY has to be maximum so N should be maximum.
⇒ P = 8 and N = 5
[Not P = 5, N = 2]
The remaining digits are 2 and 3. For MONEY to be maximum, Y = 3.
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DIRECTIONS: Substitute different digits (0, 1, 2, .....9) for different letters in the problem below, so that the corresponding addition is correct and it results in the maximum possible value of MONEY.Q.The letter ‘Y’ should bea)0b)2c)3d)7Correct answer is option 'C'. Can you explain this answer?
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