15) 0<=n<=9, what is the value of n
1). if tenth unit of 1/n is zero
2). if unit digit of 1/n >=n
1). if tenth unit of 1/n is zero
2). if unit digit of 1/n >=n
- 1. The statements of a proper data sufficiency problem would never be like "If something is true..."
2. The term 'tenth unit of 1/n is zero' doesn't make any sense.
3. From question stem, a possible value of n is 0. But the statements are talking about 1/n which is undefined for n = 0. GMAT would never allow this situation to arise at all.
Statement 1: If n = 1, tenths digit of 1/n = 1.0 is zero.vipulgoyal wrote:15) If 0 < n ≤ 9, what is the value of n?
1) Tenths digit of 1/n is zero
2) Units digit of 1/n ≥ n
If n = any other value, 1/n will have a non-zero tenths digit. This can be proved by checking the tenths digit of 1/9 as 1/9 is the smallest possible value of 1/n. 1/9 = 0.11...
So, only possible value of n is 1.
Sufficient
Statement 2: If n = 1, units digit of 1/n = 1.0 is 1 and 1 ≥ 1
If n = any other value, the units digit of 1/n will be always zero, as 1/n will be fraction less than 1. Hence, the units digit of 1/n will be less than n.
So, only possible value of n is 1.
Sufficient
The correct answer is D.
