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What is the sum of 4 consecutive odd integers? 1) Sum of the four int

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GMATinsight
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What is the sum of 4 consecutive odd integers? 1) Sum of the four int [#permalink] New post   30 Jan 2021, 01:06
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What is the sum of 4 consecutive odd integers?

1) Sum of the four integers < 150
2) Sum of the four integers when divided by 10 becomes a perfect square

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C
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suchita2409
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What is the sum of 4 consecutive odd integers? 1) Sum of the four int [#permalink] New post   30 Jan 2021, 06:58
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IMO C
Any 4 nos. can have sum less than 150
No definite answer.
STATEMENT I IS INSUFFICIENT.

2) Sum of the four integers when divided by 10 becomes a perfect square
Sum of 4 integers is multiple of 10. (that is even)
that makes the integers odd only .
so, 4x+ 12 /10 = 4,9,16,25,36

4 and 16 both satisfies the equation.
So, Insufficient.


Combining 4 1 and 2
we get 4x+12 < 40
and we can get a definite answer.
So c.
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Re: What is the sum of 4 consecutive odd integers? 1) Sum of the four int [#permalink] New post   30 Jan 2021, 07:08
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Let 4 odd consecutive numbers be x,x+2,x+4,x+6

1) Sum of the four integers < 150
X+X+2+X+4+X+6 < 150
4X+12 < 150
4X < 138
X < 34.5
There are many possible values
(Insufficient)

2) Sum of the four integers when divided by 10 becomes a perfect square
4x+12/10 = Perfect square.
So, 4x+12 can be 40,90,160,250....
(Insufficient)

Combining both,
4x+12 = either 40 or 90
Case 1: 4x+12 = 90
4x = 78
X = 19.5 (not an integer)

Case 2: 4x+12 = 40
4x = 28
X = 7
Sufficient

Answer is C

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What is the sum of 4 consecutive odd integers? 1) Sum of the four int [#permalink] New post   01 Feb 2021, 02:48
GMATinsight wrote:
What is the sum of 4 consecutive odd integers?

1) Sum of the four integers < 150
2) Sum of the four integers when divided by 10 becomes a perfect square

Source: https://www.GMATinsight.com


target find sum of 4 consecutive odd integers
which can be written in form x-4,x-2,x,x+2,x+4
we get sum of odd integers as two forms ; 4x+4 and 4x-4

#1
Sum of the four integers < 150
here value of x can be 1,3,5,7... so on insufficient
#2
Sum of the four integers when divided by 10 becomes a perfect square

or say
4x+4/10 ; 2x+2/5 is perfect square which is possible when x= 39
and 4x-4/10 ; 2x-2/5 is perfect square at x= 11 ;
we dont get 1 single value of x ; insufficient
from 1 &2
we see at x= 11 we get our value i.e. sum 7,9,11,13; 40
sufficient
option C
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Re: What is the sum of 4 consecutive odd integers? 1) Sum of the four int [#permalink] New post   28 Aug 2023, 05:48
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Re: What is the sum of 4 consecutive odd integers? 1) Sum of the four int [#permalink]
28 Aug 2023, 05:48
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