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Answer should be E, since as per the given information, any multiple of 17 could be the total number of gems.
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Hi,

Why the value of X=5 ? it can be any multiple of 17 i guess

So the answer should be option E
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There are only 4 distinct single digit primes viz 2,3,5,7.
Hence the ratio might be 2x:3x:5x:7x.

total is 17x.
Answer can be any multiple of 17.
Of the available choices only option C is a multiple of 17. Hence answer is C
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pushpitkc
The four distinct single digit prime possible are 2,3,5,7
Hence, the scepter is mounted with diamonds, rubies, emeralds, and sapphires in the ratio 2:3:5:7
So we could have 2x+3x+5x+7x or 17x gems.

If x=5, Option C(17*5 = 85) is the number of gems on the imperial scepter.


Hi pushpitkc
How did you determine that the value of x= 5 ? It could be any value.
I think the ans must be (E). However, the OA is "C", so i think i am missing something.
Can you please guide..?
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Hi @Kevinjoshi,

Option E reads it cannot be determined from the information given but 85 is a possibility for the total number of gems on the scepter and therefore, it can be determined!

Hence, the answer has to be Option C

Hope that helps you.
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The single digit prime numbers are 2 , 3 , 5 , 7
Therefore the ration is w : x : y : z
The number of gems will be multiple of 2a+3a+5a+7a=17a
only 85 is divisible by 17 therefore it is our answer
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