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Simple Q

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Senior Manager
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Simple Q [#permalink] New post 15 May 2010, 10:50
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (01:53) correct 33% (00:41) wrong based on 1 sessions
The average of 4 different positive integers is 125. If the largest of these integers is 150, what is the least possible value of the smallest integer?

* 1
* 2
* 12
* 53
* 100
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Re: Simple Q [#permalink] New post 17 May 2010, 00:36
i also think the ans is D... whats OA..?
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Re: Simple Q [#permalink] New post 17 May 2010, 01:45
nverma wrote:
The average of 4 different positive integers is 125. If the largest of these integers is 150, what is the least possible value of the smallest integer?

* 1
* 2
* 12
* 53
* 100

D,

Let the numbers be a,b,c and d

then \frac{a+b+c+d}{4} = 125

a+ b+c +d = 500

d = 150

a+b+c= 350

now 150 is the largest among the lot, then let c= 149 and b = 148 then equation becomes

a+ 148+ 149 = 350 or a = 53
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Re: Simple Q [#permalink] New post 17 May 2010, 01:46
D should be the ans...

Lets take other numbers to be 148 and 146. Adding these 2 numbers to 150 and then subtracting with 125*4 , ans comes to 56, so only D is closest to that.
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Re: Simple Q [#permalink] New post 17 May 2010, 06:59
another way to solve
in order to minimize one no we have to maximize all the other no.s to get the same average , the max. no. is 150 so the maximum limit of other no.s is 149 & 148
NOW (148 +149+150 +X)/4 = 125 so x=53 ans option D
Re: Simple Q   [#permalink] 17 May 2010, 06:59
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