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

If M > N and the value of $N=6$, then what is the value of R?

• A. 2
• B. 1
• C. 7
• D. Cannot be determined

Answer 1

The correct option is D Cannot be determined

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 and N by 6.
M 6 O 4
+A Q R 4
8 8 8 8
When N = 6 and M > N, then M can be 7. Correspondingly A will be 1. But since the value of R has no relation with the values of either M or N, and R can be any number among {3,5} therefore, the value of R cannot be exactly determined with the given information. Thus option 4 is the answer.