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24 Mar 2020, 10:18
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (01:08) correct
35%
(01:32)
wrong
based on 188
sessions
History
Date
Time
Result
Not Attempted Yet
What is the thousandths digit of decimal d?
(1) The tenths digit of 100d is 3.
(2) The hundredths digit of 10d is 3.
(1) The tenths digit of 100d is 3.
(2) The hundredths digit of 10d is 3.
28 Mar 2020, 10:39
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sjuniv32
Target question: What is the thousandths digit of decimal d?
Statement 1: The tenths digit of 100d is 3.
Let's look at a few examples to see what happens when we multiply a decimal by 100...
If d = 1.2345, then 100d = 123.45
If d = 49.876543, then 100d = 4987.6543
If d = 0.008, then 100d = 0.8
Conclusion: the thousandths digit of decimal d = the tenths digit in decimal 100d
So, if the tenths digit of 100d is 3, then the thousandths digit of decimal d is 3
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: The hundredths digit of 10d is 3
Let's look at some examples for this situation....
If d = 1.2345, then 10d = 12.345
If d = 49.876543, then 10d = 498.76543
If d = 0.008, then 10d = 0.08
Conclusion: the thousandths digit of decimal d = the hundredths digit in decimal 10d
So, if the hundredths digit of 10d is 3, then the thousandths digit of decimal d is 3
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
General Discussion
ArunSharma12
Joined: 25 Oct 2015
Last visit: 20 Jul 2022
Posts: 512
Given Kudos: 74
Location: India
Schools: IIML-IPMX '22 (A)
GMAT 1: 650 Q48 V31
GMAT 2: 720 Q49 V38 (Online)
GPA: 4
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25 Mar 2020, 00:17
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sjuniv32
decimal d = \(0.abcd\)
thousandths digit of decimal d = c
statement 1:
\(100*d = ab.cd\)
tenths digit = c = 3
sufficient
statement 2:
\(10*d = a.bcd\)
hundredths digit = c = 3
sufficient
Ans: D
