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Question :

Directions : Eight persons - A, B, C, D, E, F, G and H visit the garden on either the 8th or 27th of June, July, August and September in the same year, but not necessarily in the same order. No two persons visit on the same day.

One person visits between H and C, who visits in August. Three persons visit between D and H. Neither E nor H visits on an odd-numbered date. E visits immediately before B. G visits before D. A visits in July.

Person F visits on ______.

1. 27th August

2. 27th September

3. 8th July

4. 8th August

5. None of these

Correct Answer : 2
Solution :

Eight persons - A, B, C, D, E, F, G and H visit the garden on either the 8th or 27th of June, July, August and September in the same year, but not necessarily in the same order. No two persons visit on the same day.

One person visits between H and C, who visits in August.

Neither E nor H visits on an odd-numbered date.

Case 1Case 2
Months Dates Persons Persons
June8th
27th
July8thH
27th
August8thCC
27th
September8thH
27th

Three persons visit between D and H.

Case 1Case 2
Months Dates Persons Persons
June8th
27th
July8thHD
27th
August8thCC
27th
September8thDH
27th

E visits immediately before B.

A visits in July.

Case 1Case 2
Months Dates Persons Persons
June8thEE
27thBB
July8thHD
27thAA
August8thCC
27th
September8thDH
27th

G visits before D. Thus, case 2 is invalid.

Therefore, the final arrangement is:

Months Dates Persons
June8thE
27thB
July8thH
27thA
August8thC
27thG
September8thD
27thF

Person F visits on the 27th September.

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