CSATLogical ReasoningAlphabet and Numerical Coding2017

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

A

2

B

4

C

5

D

8

Correct Answer: Option B

Explanation

To solve this elegantly, I will focus strictly on the target word 'white'. \n\n1. **Locate the target:** 'White' appears **only** in the third statement: '254' means 'white colour chalk'.\n\n2. **Apply Logic of Uniqueness:** Since 'white' is unique to this statement (it doesn't appear in the first two), its code must be a digit that is **unique** to '254'. This aligns with the 'Uniqueness' concept seen in 2016 PYQs [25], [33].\n\n3. **Eliminate Common Elements:** Now I check the digits in '254' against the others:\n * **Digit 5:** It appears in '256' and '589'. Since 'white' isn't in those sentences, '5' cannot be 'white'. (It likely maps to the common word 'colour'). This uses the 'Set Intersection' logic [9].\n * **Digit 2:** It appears in '256'. Since 'white' isn't there, '2' cannot be 'white'.\n * **Digit 4:** It appears **only** in '254'. This matches the behavior of the word 'white'.\n\n4. **Conclusion:** By process of elimination [52], '4' must represent 'white'.

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