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Number Properties

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by djegan » Sun Nov 14, 2010 5:58 pm
If n is a positive integer less than 10, n=?

(1) n is equal to the tens' digit of 1/n.
(2) n is equal to the hundreds' digit of 1/n.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

Kindly explain?

[spoiler]OA : A[/spoiler]
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Source: — Data Sufficiency |
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by diebeatsthegmat » Sun Nov 14, 2010 7:18 pm
djegan wrote:If n is a positive integer less than 10, n=?

(1) n is equal to the tens' digit of 1/n.
(2) n is equal to the hundreds' digit of 1/n.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

Kindly explain?

[spoiler]OA : A[/spoiler]
ohh first of all i think the answer must be E but now yeah, A is sufficicent....when n =3 because only 3 fits the statement 1
n<10 so n can be from 1 to 9 but 1 is not mentioned cos 1/1=1
n=2 so 1/2=0,5 and n#5
n=3 so 1/3=0,3333 so n=3
so on we see that only n= 3 then 1/n or 1/3 is fit the statement 1
for statement 2
n can be 3 and 6
cos 1/6=0.166666 its fit to statement 2
so 2 is insufficient
hope you could understand what i wrote
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by Rahul@gurome » Sun Nov 14, 2010 10:07 pm
djegan wrote:If n is a positive integer less than 10, n=?

(1) n is equal to the tens' digit of 1/n.
(2) n is equal to the hundreds' digit of 1/n.

Kindly explain?

[spoiler]OA : A[/spoiler]
Given: n is a positive integer less than 10.
Let's analyze the values of n and 1/n,
  • n = 1 => 1/n = 1.00
    n = 2 => 1/n = 0.500
    n = 3 => 1/n = 0.333
    n = 4 => 1/n = 0.250
    n = 5 => 1/n = 0.200
    n = 6 => 1/n = 0.167
    n = 7 => 1/n = 0.142
    n = 8 => 1/n = 0.125
    n = 9 => 1/n = 0.111
Statement 1: n is equal to the tens' digit of 1/n.
Thus only possible value of n is 3.

Sufficient.

Statement 2: n is equal to the hundreds' digit of 1/n.
Possible values of n are 3 and 6.

Not sufficient.

The correct answer is A.
Rahul Lakhani
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by goyalsau » Mon Nov 15, 2010 6:09 am
djegan wrote:If n is a positive integer less than 10, n=?

(1) n is equal to the tens' digit of 1/n.
(2) n is equal to the hundreds' digit of 1/n.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient

Kindly explain?

[spoiler]OA : A[/spoiler]
Good question.......
Saurabh Goyal
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