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# If the third digit of a three digit positive integer equals the produc

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VP
Joined: 07 Dec 2014
Posts: 1218
If the third digit of a three digit positive integer equals the produc  [#permalink]

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15 Dec 2018, 21:08
2
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(N/A)

Question Stats:

41% (02:30) correct 59% (02:39) wrong based on 46 sessions

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If the third digit of a three digit positive integer equals the product of the first two digits, how many such three digit positive integers are there?

A. 23
B. 24
C. 28
D. 32
E. 36
Manager
Joined: 08 Sep 2008
Posts: 131
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE: Operations (Transportation)
Re: If the third digit of a three digit positive integer equals the produc  [#permalink]

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16 Dec 2018, 05:51
1
Suppose three Digit integer XYZ
X*Y =Z
X can take 9 values 1-9
Y can take total 10 values 0-9

X=1 we can have 10 values of Y
X=2 we can have 5 values of Y (0-4)
X=3 we can have 4 values of Y (0-3)
X=4 we can have 3 values of Y (0-2)
X=5,6,7,8,9 we can have 2 Each values of Y (0-1)
So total: 10+5+4+3+2+2+2+2+2 =32
Director
Joined: 18 Dec 2017
Posts: 819
Location: United States (KS)
Re: If the third digit of a three digit positive integer equals the produc  [#permalink]

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22 Nov 2019, 08:08
gracie wrote:
If the third digit of a three digit positive integer equals the product of the first two digits, how many such three digit positive integers are there?

A. 23
B. 24
C. 28
D. 32
E. 36

I feel the question is ambiguous. It could be XYZ with X=Y*Z or Z=X*Y.

Thoughts?
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Re: If the third digit of a three digit positive integer equals the produc   [#permalink] 22 Nov 2019, 08:08
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