If 1

Question

If 1 < p < 2, is the tenths’ digit of the decimal representation of p equal to 9?

(1) p + 0.01 < 2
(2) p + 0.1 > 2

GMATinsight · Answer

For a number abc.def a = Unit's Digit b = Tens Digit c = Hundreds Digit d = tenth's Digit e = Hundredth Digit f = Thousandths digit Question : If 1 < p < 2, is the tenths’ digit of the decimal representation of p equal to 9? Statement 1 : p + 0.01 < 2 @p = 1.1, p + 0.01 = 1.11 NO @p=1.9, p + 0.01 = 1.91 YES NOT SUFFICIENT Statement 2 : p + 0.1 > 2 i.e. p > 1.9 and also p < 2 i.e. 1.9 < p < 2 i.e. tenth digit of p must be 9 hence SUFFICIENT Answer: Option B

Chethan92 · Answer

From statement 1:

p+0.01<2
p<1.99
P can be any value between 1 to 2.
So, decimal value may or might not be equal.
1 is insufficient.

From statement 2:

p+0.1>2
p>1.9
So, tenths’ digit of the decimal representation of p equal to 9
2 is sufficient.

B is the answer.

BrentGMATPrepNow · Answer

Target question : Is the tenths digit of p equal to 9? Given : 1 < p < 2 Statement 1 : p + 0.01 < 2 Subtract 0.01 from both sides of the inequality to get: p < 1.99 We also know that 1 < p < 2 So, we can now conclude that 1 < p < 1.99 There are several values of p that satisfy statement 1. Here are two: Case a : p = 1.5, in which case, the answer to the target question is the tenths digit is 5 Case b : p = 1.4, in which case, the answer to the target question is the tenths digit is 4 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2 : p + 0.1 > 2 Subtract 0.01 from both sides of the inequality to get: p > 1.9 We also know that 1 < p < 2 So, we can now conclude that 1.9 < p < 2 If p is greater than 1.9 and less than 2, then p = 1.9something In other words, the answer to the target question is the tenths digit is 9 Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: B RELATED VIDEO FROM OUR COURSE https://www.youtube.com/watch?v=Od98BOicIq4

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If 1 < p < 2, is the tenths’ digit of the decimal representation of p

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