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:
102 comments Page 3 of 11.

Arushi said:   5 years ago
@Jim.

The unit digit is the ending digit.

Durai Arasan T S said:   5 years ago
Why don't we consider the 12, 13, 18 because it has 1 as a unit digit?
(2)

Gnanikrishna said:   5 years ago
What is the unit's digit? Please explain me.
(2)

Basha said:   5 years ago
In every ten numbers, we have only two numbers that end with digits 1 or 9.
So b/w 1 to 70 we 14. (7*2 = 14).
Here 7 represents no of tens and 2 represents no of numbers that end with digit 1 or 9.
So, 14/70 * 100 = 20.
(2)

Jim said:   6 years ago
The question is not talking about ending with 1 or 9, but it's talking about numbers having 1 or 9.

Sanjana said:   6 years ago
@Shubham.

12^2 = 144 here, the last digit in 144 is four not "1" that's y 12 is not being taken.

Therefore, if the number with the last digit 1 and it's square the last digit is 1 is not being taken!
And it's the same with the other number like 13, 17.. and all!!

Got it?

Shubham matekar said:   6 years ago
Why 12, 13... 17 has not considered? Please tell me.

Sanjana said:   6 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:   6 years ago
I am not understanding the answer, please explain it.

Muskan said:   6 years ago
I am not understanding, please anyone explain me.


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