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If n is a positive integer with k digits, what is the value of n? 10 Jan 2017, 03:55
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55% (hard)

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42% (01:09) correct 58% (01:07) wrong based on 106 sessions

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If n is a positive integer with k digits, what is the value of n?

(1) k = n
(2) k < 2
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A
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If n is a positive integer with k digits, what is the value of n? 10 Jan 2017, 08:23
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Bunuel
If n is a positive integer with k digits, what is the value of n?

(1) k = n
(2) k < 2
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Hi,
n is a positive integer with k digits..

Let's see the statements

1) k=n
Only possible value is k=n=1..
If n has k=1 digit, n can be 1...
If n has k=2 digits, n will be 2, but this is just one digit, so k is not equal to 1..
Similar will be the case for k above 2..
So n is 1
Suff..

2) k<2
This means k is 1, so n is ONE digit number but n can be any thing from 0 to 9..
Insufficient

A
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If n is a positive integer with k digits, what is the value of n? 10 Jan 2017, 11:15
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chetan2u
Bunuel
If n is a positive integer with k digits, what is the value of n?

(1) k = n
(2) k < 2


Hi,
n is a positive integer with k digits..

Let's see the statements

1) k=n
Only possible value is k=n=1..
If n has k=1 digit, n can be 1...
If n has k=2 digits, n will be 2, but this is just one digit, so k is not equal to 1..
Similar will be the case for k above 2..
So n is 1
Suff..

2) k<2
This means k is 1, so n is ONE digit number but n can be any thing from 0 to 9..
Insufficient

A
Show more


But the question asked for the value of "n". If k = 2, n can be anything from 10 to 99. All these numbers are two digits numbers.

Is the question asking for numerical value of n(10,12,34 etc) or it is asking for the number of digits "n" has?
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If n is a positive integer with k digits, what is the value of n? 10 Jan 2017, 12:11
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chetan2u
Bunuel
If n is a positive integer with k digits, what is the value of n?

(1) k = n
(2) k < 2


Hi,
n is a positive integer with k digits..

Let's see the statements

1) k=n
Only possible value is k=n=1..
If n has k=1 digit, n can be 1...
If n has k=2 digits, n will be 2, but this is just one digit, so k is not equal to 1..
Similar will be the case for k above 2..
So n is 1
Suff..

2) k<2
This means k is 1, so n is ONE digit number but n can be any thing from 0 to 9..
Insufficient

A


But the question asked for the value of "n". If k = 2, n can be anything from 10 to 99. All these numbers are two digits numbers.

Is the question asking for numerical value of n(10,12,34 etc) or it is asking for the number of digits "n" has?
Show more


Question is asking whether we can find a unique numerical value of n .
from Statement 1 , the value of n is constrained to 1 as it equates k=n (here the digits must be equal to numerical value of n) . It is only possible when n=k=1
So. statement 1 is sufficient .

Statement 2 , says k<2 saying that it is single digit . Now , n can take values from 1 to 9 . So , we don't get unique value for n .
Statement 2 is not sufficient .

Answer is A .
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If n is a positive integer with k digits, what is the value of n? 11 Jan 2017, 07:49
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Bunuel
If n is a positive integer with k digits, what is the value of n?

(1) k = n
(2) k < 2
Show more

We are given that n is a positive integer with k digits, and we need to determine the value of n.

Statement One Alone:

k = n

Since k = n, we can restate the premise as “n is a positive integer with n digits.” However, the only way this can be true is if n = 1, since 1 has only 1 digit.

For example, if n = 2, it’s not possible for 2 to be a positive integer with 2 digits. Since the only possible value of n is 1, statement one alone is sufficient to answer the question.

Statement Two Alone:

k < 2

If k < 2, then k must be 1. We can thus restate the premise as “n is a positive integer with 1 digit.” However, that one digit, n, can be any one of the 9 positive one-digit numbers. For example, n can be 3 or 8. Since there can be more than one possible value of n, statement two alone is not sufficient to answer the question.

Answer: A
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If n is a positive integer with k digits, what is the value of n? 10 Jun 2019, 22:05
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