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.