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Previous Year Questions

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Question :

Directions :A person purchased different types of gems viz., Diamond, Emerald, Ruby, Sapphire, Opal, Pearl, Topaz and Garnet on either the first or the last day of January, March, April and May of the same year, but not necessarily in the same order.

Garnet was purchased on date 30th of the month. Pearl was purchased after Garnet. Four gems were purchased between Diamond and Pearl. Topaz was purchased before Diamond. Only Opal was purchased between Topaz and Diamond. Emerald was purchased on date 1st of the month. Neither Emerald nor Ruby was purchased after Garnet.

Which of the following gems were purchased after Ruby?

I. Emerald and Pearl

II. Garnet and Sapphire

III. Topaz and Diamond

1. Both I and II

2. Only II

3. Only III

4. Only I

5. Both II and III

Correct Answer : 1
Solution :

A person purchased different types of gems viz., Diamond, Emerald, Ruby, Sapphire, Opal, Pearl, Topaz and Garnet on either the first or the last day of January, March, April and May of the same year, but not necessarily in the same order.

So, we get:

Dates Months Gems
1stJanuary
31st
1stMarch
31st
1stApril
30th
1stMay
31st

Garnet was purchased on date 30th of the month.

Pearl was purchased after Garnet.

Case 1Case 2
Dates Months Gems Gems
1stJanuary
31st
1stMarch
31st
1stApril
30thGarnetGarnet
1stMayPearl
31stPearl

Four gems were purchased between Diamond and Pearl.

Case 1Case 2
Dates Months Gems Gems
1stJanuary
31stDiamond
1stMarchDiamond
31st
1stApril
30thGarnetGarnet
1stMayPearl
31stPearl

Topaz was purchased before Diamond.

Case 1Case 2Case 2a
Dates Months Gems Gems Gems
1stJanuaryTopazTopaz
31stDiamondTopaz
1stMarchDiamondDiamond
31st
1stApril
30thGarnetGarnetGarnet
1stMayPearl
31stPearlPearl

Only Opal was purchased between Topaz and Diamond. Thus, case 1 and case 2a are invalid.

Emerald was purchased on date 1st of the month.

Neither Emerald nor Ruby was purchased after Garnet.

Therefore, the final arrangement is:

Dates Months Gems
1stJanuaryTopaz
31stOpal
1stMarchDiamond
31stRuby
1stAprilEmerald
30thGarnet
1stMaySapphire
31stPearl

Emerald, Garnet, Sapphire and Pearl were purchased after Ruby.

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