What is the tenths digit of the quotient when thirty-five hundredths

thanks a lot.I have a question.How did u write:

Thirty-five hundredths = 0.35

hundredth position is 2nd postion aftr decimal so should not 3 come in 100th postion.Please clarify

Sure! You are correct that the hundredths position is the second position after the decimal, so one hundredth is 0.01. However, if we have 35 hundredths, this means that we need to multiply 0.01 by 35:

35*0.01 = 0.35.

In this case, the 3 ends up in the tenths position, instead of the hundredths position. If it were just 9 hundredths, for example, it would be:

9*0.01 = 0.09

However, if we are talking about more than 9 hundredths, the first digit won't be in the hundredths place.

Please let me know if you have more questions!

Solution:

Translating the problem, we have:

(35/100) / (4/1000)

35/100 x 1000/4

35 x 10/4 = 35 x 2.5 = 87.5

So the tenths digit is 5.

Answer: E

thirty-five hundredths = 35/100
four thousandths = 4/1000

(35/100) / (4/1000)
= (35/100) * (1000/4)
= 35/1 * 10/4
= 350/4
= 87.5

Tenths digit is 5. Answer is E.

"Thirty-five hundredths divided by four thousandths" = 35/100 ÷ 4/1000
= (35/100)(1000/4)
= 35,000/400
= 350/4

Mental math tip: One way to divide by 4 is to divide by 2 and then divide the result by 2
So, take 350, and divide by 2 to get 175
Then divide 175 by 2 to get 87.5


Answer: E

BrentGMATPrepNow avigutman KarishmaB

The language of this official question threw me off.


My understand is that whenever we use the term quotient, it inherently refers to an integer. For example lets the consider the statement

When 5 is divided by 4, the quotient is 1 and the remainder is 1.

The representation that I am considering in here -

Dividend = Quotient * Divisor + Remainder

However, in this question we are asked to find the tenths digit of the quotient. Wanted to check if the verbiage is correct or do we in general represent quotient as numbers (and not integers)

To make things worse we also have 0 as an option. How do we distinguish in the exam that GMAC is not testing us on basic (definition) and is referring to the tenths digit of the number when thirty-five hundredths divided by four thousandths.

Please share your thoughts on this.

P.S - My apologies if the question seem silly

I got a similar question from Braintree recently, gmatophobia. See their post here and my response below it.
The GMAC wouldn't ask you for the tenths digit of a number that is by definition an integer.

Yes, I would normally expect to see the term 'quotient' in the 'quotient-remainder' format. In other cases, one could say 'the result obtained when a number is divided by another etc.' but by definition, quotient is not necessarily an integer. Until and unless the question specifically talks about a remainder, we shouldn't assume that there will be one. And one thing is sure - a question wouldn't ask for a tenths digit if a number is supposed to be an integer. An integer doesn't have a tenths digit. 5 is an integer. 5.0 is a decimal number.
Hence we know exactly what the GMAT is asking for here - quotient as the result obtained when a number is divided by another.

I still do not understand how the tenths digit for 0.875 or 87.5 is 5...?

Here’s what the question is asking:

What is the tenths digit of the result when 35/100 is divided by 4/1,000.

(35/100) / (4/1,000) =

= 35/100 *1,000/3 =

= 350/3 =

= 87.5

The tenths digit of 87.5 is 5.

Answer: E.

P.S.
There is a difference between the hundredth digit and the hundreds digit.




1234.567

1 - THOUSANDS
2 - HUNDREDS
3 - TENS
4 - UNITS
. - decimal point
5 - TENTHS
6 - HUNDREDTHS
7 - THOUSANDTHS

Hope it helps.