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?
1
14
20
21
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:
105 comments Page 4 of 11.

Sanjana said:   7 years ago
@Muskan and @Preethy.

It is being ask the percentage in two conditions:

a) the number should be between 1 to 70.
b) the number selected between 1 to 70, it's square should have digit 1 at the end.

In simple words, for example the number 11 which consists of digit 1 which satisfies the condition (a) and also it's square (i.e) 121 is also having 1 at end which also satisfies the condition (b) so, this number is taken.

Whereas, if we take number 15 which consists of digit 1 in it but it's square (i.e) 225 is not having digit 1 at the end, therefore, it won't be taken.

And that how the numbers 1,9,11,19,21,29,31,39,41,49,51,59,61,69 are taken which are 14 in total.

Therefore, 14/70 * 100 = 20.

Preethy said:   7 years ago
I am not understanding the answer, please explain it.

Muskan said:   7 years ago
I am not understanding, please anyone explain me.

Narendra said:   7 years ago
I don't understand about value of 14. In question they asking 1 or 9 but not 1&9. They asked about 1 or 9 so how could you consider as 14? Please explain clearly to understand.

Rekha said:   7 years ago
13^2 is 169, so it ends with 9. But why 13 should not be considered b/w them?

Sanjana said:   7 years ago
Digits with 1 in unitary place:7.
Digits with 9 in unitary place:7.
7+7=14,
The total numbers=70.
14/70*100=140/7=20%.
(1)

Ganesh said:   7 years ago
Simple 1 or 9 in unit digit in 1st 10 no. Is 2,
So 1 to 70 = 2*7 = 14.
% = 14/70*100 = 20% Answer.
(1)

Annu said:   7 years ago
The total number is 70.
Possible values in number.14.
14 is what % of 70.
(14*100)/70.
=20.

Puja said:   8 years ago
The Units digit is the digit in the one's column.
Ex-4567, 876, 53.
Unit digit 7,6, 3.

Now come to solution;
1to 70 unit digits are 1,9,11,19,21,29,31,39,41,49,51,59,61,69 =14.
So percentage =14/70*100= 20%.

Abhishek said:   8 years ago
If we count without unit digit. What is the answer?


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