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A number is randomly chosen from a list of 10 consecutive po

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Manager
Manager
Status: Job holder
Joined: 28 Mar 2019
Posts: 109
Location: Bangladesh
Mohammad Alamin Asif: Mohammad Alamin Asif
Followers: 1

Kudos [?]: 14 [0], given: 19

A number is randomly chosen from a list of 10 consecutive po [#permalink] New post 13 Feb 2020, 19:21
00:00

Question Stats:

69% (00:47) correct 30% (00:54) wrong based on 13 sessions
A number is randomly chosen from a list of 10 consecutive positive integers. What is the probability that the number is greater than the mean?

(A) 3/10
(B) 2/5
(C) 1/2
(D) 7/10
(E) 4/5
[Reveal] Spoiler: OA
Manager
Manager
User avatar
Joined: 02 May 2020
Posts: 55
Followers: 0

Kudos [?]: 42 [0], given: 12

Re: A number is randomly chosen from a list of 10 consecutive po [#permalink] New post 12 May 2020, 10:04
Let the 10 consecutive positive integers be

x, x+1, .... x+10

Mean = {x*10 + (1+2+ .... +10)}/10 = {10x + 55}/10 = x + 5.5

Clearly, 5 integers are greater than mean and are less.

So, the answer is C
Manager
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Joined: 10 Feb 2020
Posts: 186
Followers: 1

Kudos [?]: 46 [0], given: 110

CAT Tests
Re: A number is randomly chosen from a list of 10 consecutive po [#permalink] New post 25 Jun 2020, 01:27
Greater than mean means on number line the number must fall after the mean value i.e. if there are 1 to 10 numbers then mean must be 5 and greater than mean means the number should be in the range of 6-10. So probability must be half
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Re: A number is randomly chosen from a list of 10 consecutive po   [#permalink] 25 Jun 2020, 01:27
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A number is randomly chosen from a list of 10 consecutive po

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