Reasoning : Logical Reasoning & Analytical Ability

Q 184 / 325

UPSC CSE Prelims 2017

In a certain code, ‘256’ means ‘red colour chalk’, ‘589’ means ‘green colour flower’ and ‘254’ means ‘white colour chalk’. The digit in the code that indicates white’ is

EXPLANATION

Correct Option (B)

To determine the digit representing 'white', we analyze the given codes:

  • '256' means 'red colour chalk' (Equation 1)
  • '589' means 'green colour flower' (Equation 2)
  • '254' means 'white colour chalk' (Equation 3)

Comparing Equation 1 and Equation 2:

  • The common digit is '5'.
  • The common word is 'colour'.
  • Thus, '5' represents 'colour'.

Comparing Equation 1 and Equation 3:

  • The common digits are '2' and '5'.
  • The common words are 'colour' and 'chalk'.
  • Since '5' represents 'colour', it follows that '2' represents 'chalk'.

Now, considering Equation 3: '254' means 'white colour chalk'.

  • We have established that '2' represents 'chalk' and '5' represents 'colour'.
  • The remaining digit in '254' is '4'.
  • The remaining word in 'white colour chalk' is 'white'.
  • Therefore, '4' represents 'white'.

Incorrect Options:

  • Option 1 (2): The digit '2' represents 'chalk', as derived from comparing Equation 1 and Equation 3.
  • Option 3 (5): The digit '5' represents 'colour', as derived from comparing Equation 1 and Equation 2.
  • Option 4 (8): The digit '8' is part of the code '589' which means 'green colour flower'. After identifying '5' as 'colour', '8' or '9' would represent either 'green' or 'flower', but not 'white'.