If n is a positive integer with k digits, how many possibilities are

Question

If n is a positive integer with k digits, how many possibilities are there for the value of n?

(1) k = 1
(2) n < 10

rudra316 · Answer

(1) k = 1

1 digit number => 1 to 9 - 9 possibilities.

(2) n < 10

1 to 9: 9 possibilities.

Either option is sufficient. Option D.

georgekaterji · Answer

Agree. Answer D . Both statements are clearly sufficient.

Vinayak Shenoy · Answer

IMO D

Given n is a positive integer with k digits.

From statement 1
k=1 which means n is a single digit positive integer
9 possible positive integer values of n exists (omitting 0 as 0 is neither positive nor negative)
Sufficient

From statement 2
n<10 means n is a single digit positive integer
9 possible positive integer values of n exists
Sufficient

Hence D

mvictor · Answer

1. if we have 1 digit, then n must be 1, 2, 3, 4, 5, 6, 7, 8, or 9. - 9 possibilities. sufficient.

2. n<10.
n can be 1,2,3,4,5,6,7,8, or 9. again 9 possibilities.

answer is D.

GMATinsight · Answer

Question : How many possibilities are there for the value of n?

Statement 1: : k=1 
i.e. n is a single digit positive Integer
Since there are only 9 single digit positive Integers, Hence
SUFFICIENT

Statement 2: : n<10 
i.e. n is a single digit positive Integer
Since there are only 9 single digit positive Integers, Hence
SUFFICIENT

Answer: option D

If n is a positive integer with k digits, how many possibilities are

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards