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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 value of POAR ?
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
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Solution
The correct option is C 4513
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 ZAs 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 8Given that M > N, M=7 (M cannot be 8 or greater), So A=8−(M)7=1.Also, O+R=8So, from among the given options, second and fourth number corresponding to O and R should add upto 8.So, POAR should be a combination of the numbers 4,5,1 & 3.
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
Given that M > N, M=7 (M cannot be 8 or greater), So A=8−(M)7=1.
Also, O+R=8
So, from among the given options, second and fourth number corresponding to O and R should add upto 8.
So, POAR should be a combination of the numbers 4,5,1 & 3.
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