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Question
In the following multiplication, each of the letters denote a different integer. Each letter stands for the same integer throughout where A stands for 2 and E stands for 6. A B A × C A ---------------- D A D E C E X -------------------- E F G DWhat is the final product ?
In the following multiplication, each of the letters denote a different integer. Each letter stands for the same integer throughout where A stands for 2 and E stands for 6.
A B A
× C A
----------------
D A D
E C E X
--------------------
E F G D
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Solution
The correct option is B 6784
2 B 2
x C 2
D 2 D
6 C 6 x
6 F G D
It is given that A=2 so clearly after multiplying 2 with the given no. we get D=4 and B=1. Now we can replace all Ds with 4, B = 1 and E = 6., we get 2 1 2 x C 2
4 2 4
6 C 6 x
6 F G 4
Now, 2+6 = G, so G=8.Hence the correct option is C
2 B 2
x C 2
D 2 D
6 C 6 x
6 F G D
It is given that A=2 so clearly after multiplying 2 with the given no. we get D=4 and B=1. Now we can replace all Ds with 4, B = 1 and E = 6., we get
2 1 2
x C 2
4 2 4
6 C 6 x
6 F G 4
4 2 4
6 C 6 x
6 F G 4
Now, 2+6 = G, so G=8.
Hence the correct option is C
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