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# Is x > y ?

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 5052
GPA: 3.39
Is x > y ?  [#permalink]

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24 Jan 2020, 09:13
00:00

Difficulty:

35% (medium)

Question Stats:

94% (01:19) correct 6% (03:00) wrong based on 17 sessions

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Is x > y ?

(1) x is the arithmetic mean of all two-digit prime numbers less than 23.

(2) y is the sum of all factors of 60 that are greater than 21 but less than 6.

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Re: Is x > y ?  [#permalink]

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24 Jan 2020, 12:23
1
Question:
Is x > y?
(1) x is the arithmetic mean of all two-digit prime numbers less than 23.
(2) y is the sum of all factors of 60 that are greater than 21 but less than 6
(I think statement 2 is worded wrongly - it cannot be 21; it could be 1 or maybe 2 instead, OR, it maybe 'less than 21 but greater than 6')

Solution:
Obviously we need to combine both statements since statement 1 talks only about x and statement 2 talks only about y.

St 1: x is the arithmetic mean of all two-digit prime numbers less than 23
We can determine the 2-digit prime numbers less than 23 without any ambiguity. Thus, x is clearly defined and we can determine its numerical value

St 2: y is the sum of all factors of 60 that lie within a particular range
We can determine the factors without any ambiguity. Thus, x is clearly defined and we can determine its numerical value

Thus, the values of both x and y can be determined, and hence, they can be compared to check whether x > y or not. We would, thus, get a definite (unique) answer.
[Note: Calculating the actual values of x and y is simply of academic interest]

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Re: Is x > y ?   [#permalink] 24 Jan 2020, 12:23
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