CAT Question

In some code, letters a, b, c, d and e represent numbers 2, 4, 5, 6 and 10. We just do not know which letter represents which number. Consider the following relationships:
I. a + c = e,
II. b – d = d and
III. e + a = b
Which of the following options are true?
  • a)
    b = 4, d = 2
  • b)
    a = 4, e = 6
  • c)
    b = 6, e = 2
  • d)
    a = 4, c = 6
Correct answer is option 'B'. Can you explain this answer?

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Answers

We have a + c = e so possible summation 6+4=10 or 4+2 = 6.
Also b = 2d so possible values  4 = 2 * 2 or 10 = 5 * 2.
So considering both we have b = 10 , d = 5, a= 4 ,c = 2, e = 6.
Hence the correct option is B .

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