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
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14 | x 100 | ![]() |
70 |
Video Explanation: https://youtu.be/cBamI6iRNIA
Discussion:
102 comments Page 6 of 11.
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%.
Sreekanth said:
1 decade ago
Why don't you take 12, 13, 14...?
Phani said:
1 decade ago
Hello friends! in the question, not mentioned that the word "square".
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.
Diwaker said:
1 decade ago
What about 12 13 14, 15, 16, 17, 18?
Aadya said:
10 years ago
7x7= 49.
4(9) why don't we count 7 then?
4(9) why don't we count 7 then?
Emma said:
10 years ago
Thanks guys I've got the first question so clearly.
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?
Shivaranjitha said:
9 years ago
Y is less than 117 by 19, means; Either y =117 - 19 or 117 - y = 19.
I'm confused with this. Please answer this.
I'm confused with this. Please answer this.
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.
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