neeti2711 wrote:Is the tens digit of p equal to 6?

(1) p/10000 has a thousandths digit of 6.
(2) 0.1p has a hundreds digit of 6

(A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

We have to see whether the tens digit of p is equal to 6.

S1: p/10000 has a thousandths digit of 6.

Let us assume a number for p/10000 such that its thousandths digit is 6.

Say p/10000 = abc.xy6z

=> p = abc.xy6z * 10000

=> p = abcxy6z

We see that the tens digit is '6.'

The answer is YES. Sufficient.

S2: 0.1p has a hundreds digit of 6.

Say 0.1p = a6bc.xyz

=> p/10 = a6bc.xyz

=> p = a6bcx.yz

We see that the hundreds digit is 'b'; if 'b = 6', the answer is YES; however b is other than '6,' the answer is NO. No unique answer. Insufficient.

The correct answer: A

Hope this helps!

Relevant book: Manhattan Review GMAT Data Sufficiency Guide

-Jay
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neeti2711 wrote:Is the tens digit of p equal to 6?

(1) p/10000 has a thousandths digit of 6.
(2) 0.1p has a hundreds digit of 6

We can let our number be ABCD, in which A is the thousands digit, B is the hundreds digit, C is the tens digit, and D is the units digit. We need to determine the value of C.

Statement One Alone:

p/10000 has a thousandths digit of 6.

ABCD/10,000 = 0.ABCD, and since 0.ABCD has a thousandths digit of 6, C = 6. Statement one alone is sufficient to answer the question.

Statement Two Alone:

0.1p has a hundreds digit of 6

0.1 x ABCD = ABC.D, and ABC.D has a hundreds digit of 6. Thus, A = 6. However, since we do not have a value for C, statement two alone is not sufficient.

Answer: A