"GMAT Hacks " Daily Question:-
What is the thousandths digit of the decimal p ?
(1) p is equivalent to the fraction 4/7.
(2) The units digit of 100p is 2.
Statement (1) is sufficient. It would require long division to determine the thousandths digit of 4/7, but since 4/7 is a specific real number, we should realize that we could do so.
Statement (2) is insufficient. Say that 100p = 112.11, for one example when the units digit is 100p is 2. We're interested in p, so divide both sides by 100:
p = 112/100 = 1.1211
The thousandths digit is 1--but remember that we invented that digit for the purpose of an example. It could just as easily have been any other integer. Choice (A) is correct.
For Decimal numbers, such as 0.abcd Each digit has a different place value.
The first digit after the decimal point is called the tenths place value.
The second digit tells you how many hundredths there are in the number.
The third digit is the thousandths place.
The fourth digit is the ten-thousandths place , and so on.
Now back to the question :
let p=0.abcd, we need to know the value of c
Well we have been given the entire no, who cares what is asked, any digit of the resultant decimal number can be answered =>Definitely sufficient
(2)units digit of 100p is 2
i.e. for ab.cd, b=2
we still dont know c though =>Clearly insufficient
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