If 1 < d < 2, is the tenths’ digit of the decimal re

[BTGmoderatorDC]

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

(1) d + 0.01 < 2
(2) d + 0.05 > 2


OA B

Source: Official Guide

[Jay@ManhattanReview]

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

(1) d + 0.01 < 2
(2) d + 0.05 > 2

OA B

Source: Official Guide

Let's take each statement one by one.

(1) d + 0.01 < 2

=> d < 1.99

Given 1 < d < 2 and d < 1.99, we have 1 < d < 1.99

d can be 1.01 or 1.98. The tenths' digit is not unique. Insufficient.

(2) d + 0.05 > 2

d > 1.95

Given 1 < d < 2 and d > 1.95, we have 1.95 < d < 2.

The tenths' digit is always 9. Sufficient.

The correct answer: B

Hope this helps!

-Jay
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[deloitte247]

Question: is the tenth digit of the decimal representation of 'd' equal to 9?
Statement 1: d + 0.01 < 2
d < 2 - 0.01
d < 1.99
Since 1 < d < 2
If d=1.99, then the tenth degit = 9
But if d=1.8, then the tenth digit <9. Hence, statement 1 is NOT SUFFICIENT.

Statement 2: d + 0.05 > 2
d > 2 - 0.05
d > 1.95
The lowest possible value of d=1.96, and the tenth digit = 9. Thus, statement 2 is SUFFICIENT.

Since statement 2 alone is sufficient, the correct answer is Option B.