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 8 of 11.

Tabi said:   10 years ago
Look again for the definition of "unit's digit".

If we have (for the sake of example) --> 180.
Then:
1 on '1'80 = hundreds digit.
8 on 1'8'0 = tens digit.
0 on 18'0' = units digit.

Therefore, numbers that fulfill the question "What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?" is numbers that have either '1' or '9' on its "units digit".

Disclaimer: 10, or 12, 13, 14, 15, 16, 17 and 18 did not make it to the answer because even though they have '1' on its component, that '1'is not a "units digit" since our definition above.

The correct numbers are: 1, 9 , 11, 19, 21, 29 , 31, 39, 41, 49, 51, 59, 61, 69.

*Counted -> 14 numbers out of 70's.

Percentage = (14/70)*100% = 20%.
Answer : C
(1)

Shivaranjitha said:   10 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.

Jeetendra Kushwaha said:   10 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.

Yashwitha said:   10 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?

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...?


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