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Question

In the following addition each of the letters denote a different integer. Each letter stands for the same integer throughout where 'P' stands for 4.
M N O P
+A Q R P
---------------
Z Z Z Z
What is the remainder when P is divided by Q ?

A
3
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B
0
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C
1
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D
2
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Solution

The correct option is B 0
For simplicity, let us replace all the Ps with 4 as P=4 (given).
M N O 4
+A Q R 4
Z Z Z Z
As 4+4=Z that means Z=4+4=8
Now, replacing all Zs by 8.
M N O 4
+ A Q R 4
8 8 8 8
P = 4 and Q =2
So, when P mod Q = 4 mod 2 = 0.
Thus option B is the answer.

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