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If x~y is defined as the sum of all of the prime integers between x an

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Math Expert
Joined: 02 Sep 2009
Posts: 58323
If x~y is defined as the sum of all of the prime integers between x an  [#permalink]

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03 Mar 2019, 23:51
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Difficulty:

15% (low)

Question Stats:

83% (01:03) correct 17% (01:15) wrong based on 34 sessions

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If x~y is defined as the sum of all of the prime integers between x and y, which of the following is equal to 17 ?

I. 1~10
II. 6~12
III. 14~18

(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III

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Joined: 04 Jan 2015
Posts: 3074
Re: If x~y is defined as the sum of all of the prime integers between x an  [#permalink]

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04 Mar 2019, 00:08

Solution

Given:
• The expression x ~ y is defined as the sum of all the prime integers between x and y

To find:
• Among the given options, which ones are equal to 17

Approach and Working:
We know that x ~ y = sum of all prime integers between x and y

• 1 ~ 10 = 2 + 3 + 5 + 7 = 17
• 6 ~ 12 = 7 + 11 = 18
• 14 ~ 18 = 17

Hence, the correct answer is option D.

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Location: India
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Re: If x~y is defined as the sum of all of the prime integers between x an  [#permalink]

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04 Mar 2019, 00:51
Bunuel wrote:
If x~y is defined as the sum of all of the prime integers between x and y, which of the following is equal to 17 ?

I. 1~10
II. 6~12
III. 14~18

(A) I only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III

1~10 = 2+3+5+7 = 17 ; sufficinet
3. 14~18 = 17 ; suficeint
IMO D
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Re: If x~y is defined as the sum of all of the prime integers between x an   [#permalink] 04 Mar 2019, 00:51
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