Aptitude - Percentage - Discussion
Discussion Forum : Percentage - General Questions (Q.No. 4)
4.
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Answer: Option
Explanation:
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
Number of such number =14
Required percentage = |
![]() |
14 | x 100 | % = 20%. |
| 70 |
Video Explanation: https://youtu.be/cBamI6iRNIA
Discussion:
103 comments Page 8 of 11.
Jeetendra Kushwaha said:
9 years ago
Please read the question carefully.
It says about that number which put in place of a unit and which must be 1 or 9.
So only these number are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
So total 14 numbers.
It says about that number which put in place of a unit and which must be 1 or 9.
So only these number are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69.
So total 14 numbers.
Yashwitha said:
9 years ago
Then what about the numbers of 11, 12, 113, 14, 15, 19 even 1 is their, then why it is not considered?
Emma said:
1 decade ago
Thanks guys I've got the first question so clearly.
Aadya said:
1 decade ago
7x7= 49.
4(9) why don't we count 7 then?
4(9) why don't we count 7 then?
Diwaker said:
1 decade ago
What about 12 13 14, 15, 16, 17, 18?
Ravi kumar said:
1 decade ago
Hello friends here they asked just between numbers from 1 to 70 so we followed this procedure. It is not easy to find if they asked for larger numbers like 1 to 10000 like this. In this case can't keep go on counting so please tell a new shortcut method.
Phani said:
1 decade ago
Hello friends! in the question, not mentioned that the word "square".
Sreekanth said:
1 decade ago
Why don't you take 12, 13, 14...?
Harish said:
1 decade ago
@Nicky.
I think you know what is unit's digit?
So from the given question, we have to count the numbers between 1-70.
Which have 1 and 9 in their unit's digit. They are:
1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69 these are numbers we are looking for. And these are having only 1 and 9 in their unit's digit.
So the count of the above numbers is 14.
Then we have calculate the percentage of 14 in 70.
So we assume the percentage is x.
Hence (x/100)*70 = 14.
70x/100 = 14.
70x = 1400.
x = 1400/70 = 20.
x = 20%.
I think you know what is unit's digit?
So from the given question, we have to count the numbers between 1-70.
Which have 1 and 9 in their unit's digit. They are:
1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69 these are numbers we are looking for. And these are having only 1 and 9 in their unit's digit.
So the count of the above numbers is 14.
Then we have calculate the percentage of 14 in 70.
So we assume the percentage is x.
Hence (x/100)*70 = 14.
70x/100 = 14.
70x = 1400.
x = 1400/70 = 20.
x = 20%.
Nicky said:
1 decade ago
In question he said 1 or 9 in the units digit there are 4 numbers between 1 to 10 whose unit digit ends between 1 and 9 they are 1, 3, 7, 9 so tell me that what is the solution?
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers
Required percentage =
% = 20%.