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

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

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New post 15 Dec 2018, 21:08
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A
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D
E

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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
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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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New post 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
Answer D.
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Re: If the third digit of a three digit positive integer equals the produc  [#permalink]

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New post 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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