Problem Solving

Another poorly constructed problem.

• 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.

A proper data sufficiency problem would be...

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

Statement 1: If n = 1, tenths digit of 1/n = 1.0 is zero.
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.