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Need help to clarify the quan. Question?

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
Expert replies
by Reallynotme » Thu Mar 07, 2013 10:41 am
'Of the three- digit integers greater, than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?'

I just want the value that means in numerical format? Is this like 701, 710, etc...

And what does that means in OG 13 explanation?

Tens and ones
Hundreds and tens
Hundreds and ones

It would be great if any one clarify it for me with the help of numerical value..

Thanks
Peter
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Source: — Quantitative Reasoning |

by hemant_rajput » Thu Mar 07, 2013 11:34 am
Reallynotme wrote:'Of the three- digit integers greater, than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?'

I just want the value that means in numerical format? Is this like 701, 710, etc...

And what does that means in OG 13 explanation?

Tens and ones
Hundreds and tens
Hundreds and ones

It would be great if any one clarify it for me with the help of numerical value..

Thanks
Peter
(total 3-digit number greater than 700) - ( number with all digits either similar or dissimilar)
number with all digits similar = 777/888/999 = 3
number with all digits dissimilar = 3 * 9 * 8 = 216
299 - ( 3 + 216)
=299 -219 =80


If you want numerical explanation here it is.
where x can be any value other than already present in no.

77x = 9
7x7 = 9
7xx = 8(because 700 is not included )
88x = 9
8x8 = 9
8xx = 9
99x = 9
9x9 = 9
9xx = 9

9*8 + 8=80
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
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by dabral » Thu Mar 07, 2013 3:42 pm
Peter,

'Of the three- digit integers greater, than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?'

An example would be 838, here two digits are equal to each other, the two 8s here, and the remaining digit 3 is different from the other two(which are the 8s). This means 888 would not be acceptable. Other examples would be 772, 933, 989, etc.

"Tens and ones
Hundreds and tens
Hundreds and ones"

These are descriptions for the place value of the digits in a number. For example in 743, the hundreds digit is 7, tens digit is 4, and the ones or units digit is 3.

Here is an example:
How many two digit positive numbers are there that have 8 as the tens digit and a units digit that is a prime number?

The answer would be: 82, 83, 85, and 87, therefore 4 such numbers.

Understanding the terminology and language in GMAT questions is an essential part in dealing with these questions.

Cheers,
Dabral
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