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# If x * y represents the number of integers between x and y, then (–2 *

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Manager
Joined: 26 Dec 2018
Posts: 144
Location: India
If x * y represents the number of integers between x and y, then (–2 *  [#permalink]

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03 Jan 2019, 07:24
1
00:00

Difficulty:

25% (medium)

Question Stats:

70% (00:58) correct 30% (01:06) wrong based on 30 sessions

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If x * y represents the number of integers between x and y, then (–2 * 8) + (2 * –8) =

(A) 0
(B) 9
(C) 10
(D) 18
(E) 20

Source: Nova GMAT
Difficulty Level: 600

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Director
Joined: 09 Mar 2018
Posts: 995
Location: India
Re: If x * y represents the number of integers between x and y, then (–2 *  [#permalink]

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03 Jan 2019, 07:45
2
UB001 wrote:
If x * y represents the number of integers between x and y, then (–2 * 8) + (2 * –8) =

(A) 0
(B) 9
(C) 10
(D) 18
(E) 20

To calculate the number of integers, Subtract the highest integer(HI) from the lowest integers(LI) and then subtract 1.
HI - LI - 1

(–2 * 8) = 8 - (-2) - 1 = 9

(2 * –8) = 2 + 8 - 1 = 9

Option D.
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General GMAT Forum Moderator
Joined: 15 Jan 2018
Posts: 603
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
Re: If x * y represents the number of integers between x and y, then (–2 *  [#permalink]

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03 Jan 2019, 07:49
1
Number of integers between -2 & 8 = 9
Exclude -2 & 8, and include 0. Hence, the actual integers are -1, 0, 1, 2, 3, 4, 5, 6, 7 = 9 integer values

Number of integers between 2 & -8 = 9
Exclude 2 & -8, and include 0. Hence, the actual integers are -7, -6, -5, -4, -3, -2, -1, 0, 1 = 9 integer values

hence, (–2 * 8) + (2 * –8), where x * y represents the number of integers between x and y = 9 + 9 = 18

Hence, the correct answer is Option D. 18

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Manager
Joined: 26 Dec 2018
Posts: 144
Location: India
Re: If x * y represents the number of integers between x and y, then (–2 *  [#permalink]

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03 Jan 2019, 11:49
DisciplinedPrep wrote:
Number of integers between -2 & 8 = 9
Exclude -2 & 8, and include 0. Hence, the actual integers are -1, 0, 1, 2, 3, 4, 5, 6, 7 = 9 integer values

Number of integers between 2 & -8 = 9
Exclude 2 & -8, and include 0. Hence, the actual integers are -7, -6, -5, -4, -3, -2, -1, 0, 1 = 9 integer values

hence, (–2 * 8) + (2 * –8), where x * y represents the number of integers between x and y = 9 + 9 = 18

Hence, the correct answer is Option D. 18

Nice Explanation..!!!
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Re: If x * y represents the number of integers between x and y, then (–2 *   [#permalink] 03 Jan 2019, 11:49
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