UGC NET CSE | September 2013 | Part 3 | Question: 3

Question

Assume that each alphabet can have a value between 0 to 9 in a cryptoarithmetic problem

Which of the following statements is true?

1. No two alphabets can have the same numeric value
2. Any two alphabets can have the same numeric value
3. D=0
4. D=1
   • A. I and III
   • B. I and IV
   • C. II and III
   • D. II and IV

Answer 1

this is example of crypto arithmetic problem there are few rules of it which are as below

1. No two alphabets can have the same numeric value
2. Every alphabet will have same value at all its occurrences
3. Max possible Carry is 1     as max values are upto 9 only so 9+9+1=19                                                                                                                                                                                              here D=1 and rule 1 are given in option B  hence B is the answer

Answer 2

In given problem only 9 letters (c r o s a d n g e )are used.

• So it is possible for assigning unique values between 0 to 9  for  each letter is possible. I is true.
• CROSS and ROADS have 5 letters each and their sum DANGER has 6 letters.
• So definitely first letter D must be carry 1.
• Hence D =1. IV is true

Answer B

(There are ways to find value of each letter separately. But to answer this question that steps are not needed I think.)