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Difficulty:
35%
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Question Stats:
67% (01:36) correct
33%
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based on 436
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An imperial scepter is mounted with diamonds, rubies, emeralds, and sapphires in the ratio of w : x : y : z. If w, x, y, and z are distinct single digit primes, then how many gems could be on the imperial scepter if it only contains the gems listed above?
(A) 19
(B) 58
(C) 85
(D) 97
(E) Cannot be determined from the information provided above.
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(A) 19
(B) 58
(C) 85
(D) 97
(E) Cannot be determined from the information provided above.
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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.
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.
Bunuel
There are only 4 single digit-prime numbers. The ratio must be 2x : 3x : 5x: 7x.
Total = 17x
The answer must be a multiple of 17.
Answer C, 85 = 17 * 5
Answer C
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nitesh181989
Joined: 06 Sep 2013
Last visit: 26 May 2025
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Concentration: Leadership, Strategy
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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.
Posts: 101
Hi,
Why the value of X=5 ? it can be any multiple of 17 i guess
So the answer should be option E
Why the value of X=5 ? it can be any multiple of 17 i guess
So the answer should be option E
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
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
Krystallized
Joined: 05 Nov 2016
Last visit: 12 Jul 2018
Posts: 26
Location: India
Concentration: Operations
Schools: Ivey '19 Schulich Sept 18 Intake (A)
GMAT 1: 610 Q48 V26
GMAT 2: 660 Q49 V31
GPA: 3.9
WE:Engineering (Consulting)
pushpitkc
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..?
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.
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.
arvind910619
Joined: 20 Dec 2015
Last visit: 18 Oct 2024
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Status:Learning
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Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
GPA: 3.4
WE:Engineering (Manufacturing)
Products:
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
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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