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Question :

Directions :Twelve boxes are kept in two stacks one above the other such that six boxes are in each stack. The bottommost position is 1 above that 2 and so on. Two stacks are stack A and stack B. Stack A is immediately west of stack B. Each box contains different fruits viz., Grapes, Banana, Papaya, Apple, Guava, Kiwi, Mango, Fig, Pear, Litchi, Peach and Orange but not necessarily in the same order. Each box contains only one fruit.

Box J is kept at an even number position but not in stack A. Two boxes are between Guava box and box K, which contains Pear. Guava is kept in an uppermost position in stack A. Three boxes are kept between the Orange box and box M and both of them are kept in same stack. Box J, which contains Kiwi, is kept immediately below box M in the same stack. Box L does not contain Peach. Box H, which contains Fig, is kept immediately west of box of Orange. Only one box is kept between box H and box N and both are kept in the same stack. Box P is kept immediately above box N, which contains Apple. Two boxes are kept between box P and box I, which is kept immediately below box L in the same stack. Box O is kept immediately below box Q, which contains Litchi. Three boxes are kept between box R and box S, which contains Mango. Box of Papaya is kept immediately above box of Grapes in the same stack.

Note: Box A is kept immediately west of box B means Box A and box B is kept at same position but in different stacks.

Which of the following combination is true?

i) L - Banana

ii) M - Grapes

iii) R - Guava

1. Only i and ii

2. Only ii and iii

3. Only i and iii

4. All are true

5. None is true

Correct Answer : 3
Solution :

Guava is kept in an uppermost position in stack A.

Two boxes are between Guava box and box K, which contains Pear.

Case 1 Case 2
STACK ASTACK BSTACK ASTACK B
PositionBoxFruitBoxFruitBoxFruitBoxFruit
6GuavaGuava
5
4
3KPearKPear
2
1

Three boxes are kept between the Orange box and box M and both of them are kept in same stack.

Box J, which contains Kiwi, is kept immediately below box M in the same stack.

Box J is kept at an even number position but not in stack A.

Case 1Case 2
STACK ASTACK BSTACK ASTACK B
PositionBoxFruitBoxFruitBoxFruitBoxFruit
6GuavaGuava
5MM
4JKiwiJKiwi
3KPearKPear
2
1OrangeOrange

Box H, which contains Fig, is kept immediately west of box of Orange.

Case 1Case 2
STACK ASTACK BSTACK ASTACK B
PositionBoxFruitBoxFruitBoxFruitBoxFruit
6GuavaGuava
5MM
4JKiwiJKiwi
3KPearKPear
2
1HFigOrangeHFigOrange

Only one box is kept between box H and box N and both are kept in the same stack.

Box P is kept immediately above box N, which contains Apple.

Thus, Case 1 gets cancelled.

Case 2
STACK ASTACK B
PositionBoxFruitBoxFruit
6Guava
5M
4PJKiwi
3NAppleKPear
2
1HFigOrange

Two boxes are kept between box P and box I, which is kept immediately below box L in the same stack.

STACK ASTACK B
PositionBoxFruitBoxFruit
6Guava
5M
4PJKiwi
3NAppleKPear
2L
1HFigIOrange

Box O is kept immediately below box Q, which contains Litchi.

STACK ASTACK B
PositionBoxFruitBoxFruit
6GuavaQLitchi
5OM
4PJKiwi
3NAppleKPear
2L
1HFigIOrange

Box of Papaya is kept immediately above box of Grapes in the same stack.

STACK ASTACK B
PositionBoxFruitBoxFruit
6GuavaQLitchi
5OPapayaM
4PGrapesJKiwi
3NAppleKPear
2L
1HFigIOrange

Three boxes are kept between box R and box S, which contains Mango.

STACK ASTACK B
PositionBoxFruitBoxFruit
6RGuavaQLitchi
5OPapayaM
4PGrapesJKiwi
3NAppleKPear
2SMangoL
1HFigIOrange

Box L does not contain Peach.

STACK ASTACK B
PositionBoxFruitBoxFruit
6RGuavaQLitchi
5OPapayaMPeach
4PGrapesJKiwi
3NAppleKPear
2SMangoLBanana
1HFigIOrange

This is the final arrangement.

L - Banana

R - Guava

These combinations are true.

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