Consider each alphabet takes only one
number from 0 to 9 uniquely.
OLD + OLD + OLD = GOOD, then what
is the value of G+O+O+D?
7
12
9
O
6
Answers
Given :- Consider each alphabet takes only one number from 0 to 9 uniquely. OLD + OLD + OLD = GOOD, then what is the value of G+O+O+D ?
A) 7
B) 12
C) 9
D) 6
Solution :-
O L D
O L D
O L D
+ GOOD
we can see that,
- 3 same three digits number = four digit number .
- Then G = 1 (Carry .)
now, checking unit digit ,D + D + D = D . Possible values,
- 0 + 0 + 0 = 0 = Same
- 1 + 1 + 1 = 3
- 2 + 2 + 2 = 6
- 3 + 3 + 3 = 9
- 4 + 4 + 4 = 12
- 5 + 5 + 5 = 15 = Same
- 6 + 6 + 6 = 18
- 7 + 7 + 7 = 21
- 8 + 8 + 8 = 24
- 9 + 9 + 9 = 27
taking D = 0,
O L 0
O L 0
O L 0
+ GOO0
now, since O and L both gives a carry number ,
- O possible values = 4, 5 and 6 { since rest give carry 2. }
- L possible values = 4,5,6,7,8 or 9 .
- But we can take same value .
then, if O = 4 , => L = 7, 8 or 9
- if L = 7 => 7 * 3 = 21 ≠ O
- if L = 8 => 8 * 3 = 24 = unit digit = O
- if L = 9 => 9 * 3 = 27 ≠ O
checking , if L = 8
- 8 * 3 = 24 => Carry 2 .
- then, 3 * 4 = 12 + 2 = 14 = unit digit also O .
therefore, we can conclude that,
- L = 8
- O = 4
- D = 0
- G = 1
putting values we get,,
4 8 0
4 8 0
4 8 0
+ 1440
hence,
→ G+O+O+D = 1 + 4 + 4 + 0 = 9 (C) (Ans.)
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OLD + OLD + OLD = GOOD, then the value of G+O+O+D = 9
Given:
Consider each alphabet takes only one number from 0 to 9 uniquely.
OLD + OLD + OLD = GOOD, then what is the value of G+O+O+D?
1) 7
2) 12
3) 9
4) 6
Solution:
OLD + OLD + OLD = GOOD
We can say OLD^3 = GOOD(Four digit number)
Hence, G = 1
Taking D=0 as it gives the same unit digit when we add 0 thrice.
Now, finding the values of O and L:
Since Alphabet O gives the carry over 1.
O possible ways are :
4 + 4 + 4 = 12
5 + 5 + 5 = 15
6 + 6 + 6 = 18
So, we can take O = 4, 5, or 6
By taking O value 4, checking L possible ways are :
4 x 3 = 12
5 x 3 = 15
6 x 3 = 18
7 x 3 = 21
8 x 3 = 24 (Unit digit of 24 is equals to the value of O)
Taking O = 4, L = 8, D = 0 and G = 1
Substitute the values and add:
OLD + OLD + OLD = GOOD
480 + 480 + 480 = 1440