Question
Which of the following statement(s) is/are
true? Answer the questions based on the information given below. Eight persons β A, B, C, D, E, F, G and H were seated in a linear row facing north. All of them like different colours β Red, Blue, Green, Yellow, White, Black, Pink and Orange. All the above information was not necessarily in the same order. Three persons were seated between H and the one who like Green. H was seated to the left of the one who likes Green. C was seated to the immediate right of the one who likes Green. Two persons were seated between C and the one who likes Pink. F and the one who likes Pink were immediate neighbours. The number of persons seated to the left of the one, who likes Red was the same as between the number of persons seated to the right of the one who likes Blue. B neither like Blue nor Yellow. Two persons were seated between D and the one who likes Orange. The number of persons seated between A and the one who likes Black was the same as between E and the one who likes Orange. The one who likes White seated second to the right of A. Neither C nor F likes Orange. Two persons were seated between F and the one who likes Red. H does not like Red. G and the one who likes Yellow were immediate neighbours.Solution
Three persons were seated between H and the one who like Green. H was seated to the left of the one who likes Green. C was seated to the immediate right of the one who likes Green. Two persons were seated between C and the one who likes Pink. F and the one who likes Pink were immediate neighbours. Two persons were seated between F and the one who likes Red. H does not like Red.
The number of persons seated to the left of the one, who likes Red was the same as between the number of persons seated to the right of the one who likes Blue. Two persons were seated between D and the one who likes Orange. Neither C nor F likes Orange.
The number of persons seated between A and the one who likes Black was the same as between E and the one who likes Orange. The one who likes White seated second to the right of A. G and the one who likes Yellow were immediate neighbours. B neither like Blue nor Yellow.
Case 1 and case 2 are invalid because the number of persons seated between A and the one who likes Black was the same as between E and the one who likes Orange. Case 3a is invalid because G and the one who likes Yellow were immediate neighbours. So, the final arrangement is
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