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In a code, 246 means 'painting is great', 257 means 'art is excellent', and 234 means 'painting is excellent'. What is the code for 'art'?

A2
B5
C7
D4
Answer & Solution
Correct answer: C. 7
1. 246 ∩ 257 = {2}; 246 ∩ 234 = {2, 4}; 257 ∩ 234 = {2}. 2. 'painting is great' and 'painting is excellent' share 'painting is' = {2, 4}. So 'painting'/'is' map to {2,4}. 3. 'art is excellent' and 'painting is excellent' share 'is excellent' = {2,5} ∩ {2,3,4} = {2}. So 'is' = 2 and 'excellent' = 5 or 3. In 257 the remaining for 'art' is 7. _Source: KMAT Karnataka 2022 PYQ Q.108_
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