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Each of the x, y and z represents a positive single-digit integer. How

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 42607

Kudos [?]: 135660 [0], given: 12705

Each of the x, y and z represents a positive single-digit integer. How [#permalink]

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New post 04 Sep 2017, 22:56
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (00:54) correct 19% (00:47) wrong based on 64 sessions

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Kudos [?]: 135660 [0], given: 12705

Senior Manager
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G
Joined: 02 Jul 2017
Posts: 281

Kudos [?]: 108 [0], given: 66

GMAT 1: 730 Q50 V38
GMAT ToolKit User CAT Tests
Re: Each of the x, y and z represents a positive single-digit integer. How [#permalink]

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New post 04 Sep 2017, 23:06
Give : x, y, z are +ve integers
All single digit ie between 1 to 9

now find no. of digits in x+y+z

1)x>y>z
Max sum = > 9>8>7 => 9+8+7 = 24 ie 2 digits
Min sum => 3>2>1 => 3+2+1 = 6 ie 1 digit

No definite answer . Not sufficient

2) y= 4, does not tell us about other two variables.
Not sufficient

1+2
x> y> z and y =4

By 1 we have found that max no. of digit in sum can be 2 digit.
Now we have to check if y=4 can eliminate no. of digit in sum as 1.

Assume minimum possible values of x and z when y = 4
As x>y>z and all are positive integers
minimum value combination = x=5, y=4 and z=1 => 5>4>1 sum = 5+4+1 = 10 ie 2 digits

Sufficient

Answer: C

Kudos [?]: 108 [0], given: 66

Intern
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Joined: 04 Oct 2016
Posts: 9

Kudos [?]: [0], given: 3

Re: Each of the x, y and z represents a positive single-digit integer. How [#permalink]

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New post 04 Sep 2017, 23:39
Bunuel wrote:
Each of the x, y and z represents a positive single-digit integer. How many digits does x + y + z have?

(1) x > y > z
(2) y = 4

1. Not sufficient
3>2>1 single digit (sum)
9>8>7 two digit (SUM)
2. y=4
No info re x and z
Not sufficient
(1) and (2)
5>4>3 or 5>4>1
both of the give the sum of two digit integer
so Sufficient/ Answer C

Kudos [?]: [0], given: 3

Re: Each of the x, y and z represents a positive single-digit integer. How   [#permalink] 04 Sep 2017, 23:39
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Each of the x, y and z represents a positive single-digit integer. How

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