Logicxonomy
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Aptitude and logical reasoning for CAT/GMAT/XAT/SNAP etc. by RAJNIKANT MISHRA
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931
Arth, Bala, Charuvi, Divya, Esha, Falguni, Girish and Harsh go to a fruit and vegetable market. They buy one type of fruit/vegetable each. They then return and discuss the prices of these fruits, each of which is different while sitting around a circular table. The following information is known:
1. None of the children buy fruits or vegetables that start with the same letter as their name.
2. The child who buys apples sits opposite the child with the 5th most expensive fruit who sits in between Girish and the one who buys eggplant.
3. Girish does not buy figs while Esha buys dragon fruit.
4. If Harsh buys eggplant Girish buys bananas. However, the one who buys bananas does not sit opposite the one buying figs.
5. The one buying Honeydew sits second to the right of Harsh whereas the one who buys the most expensive fruit sits opposite to the one buying the 4th most expensive fruit.
6. Fig is the cheapest fruit and the person who buys it sits second to the left of Divya. Divya does not sit opposite the child buying the 7th expensive fruit.
7. Only one person sits in between the people who buy banana and dragon fruit.
8. The one buying chikoo (which is the second most expensive fruit) sits second to the left of the one buying grapes and in between the children who buy the cheapest fruits.
9. Arth sits between Bala and Charuvi. Esha sits opposite to Bala.
931
A residential society has 9 houses arranged in 3 rows and 3 columns. The distance between two adjacent houses from east to west (or west to east) is 30 m, and the distance between two adjacent houses from north to south (or south to north) is 40 m.
Nine people, named A to I, each live in a different house, and each buys a different whole number quantity of milk ranging from 1 to 9 litres. Gokul, the milkman, arrives at the society at exactly 6:00 AM, carrying just enough milk for all 9 houses. He walks at a steady speed of 10 metres per minute and spends exactly 2 minutes at each house for delivery. He visits all 9 houses exactly once and never retraces his steps.
The following clues are given:
(i) His first delivery is at a corner house, which belongs to B. His last delivery is at C's house, which is not a corner house. At some point before reaching H's house, he walks in the eastward direction.
(ii) At one stage during his route, he walks to two houses in a straight line heading south, and immediately after that, he walks to two houses in a straight line heading north-west. Apart from these, no two consecutive houses on his route are approached from the same direction.
(iii) At 6:14 AM, he leaves H's house, and by this point he has already delivered a total of 15 litres of milk. At 6:40 AM, he leaves A's house, and at this point he still has 15 litres of milk left to deliver.
(iv) Within their row, A and G are the immediate neighbours of E, who buys the least quantity of milk among all nine people. Similarly, within their column, B and I are the immediate neighbours of G, who buys the largest quantity of milk.
(v) H buys exactly double the quantity that D buys, and I buys exactly double the quantity that B buys. Within his row, C buys one litre less than one of his neighbours.
