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:
108 comments Page 10 of 11.

Meena said:   1 decade ago
As per the given we should count only the digits which end with either 1 or 9(i.e, units place).

Suppose if we consider a no 527.

7 is in units place.
2 in tens place and.
5 is in Hundred's place.
In the same we get 1,9,11,19,21,29....so on 14 digits for the above question.

To be simple:
We have no's end with 1 = 7.
We have no's end with 9 = 7.
So total = 14.

Ans: 14/70*100 = 20%.

Zaman said:   1 decade ago
We should first understand the question ?

The question asks the numbers with 1 or 9 in the unit digit that is in the last digit or ending with 1 or 9.

12, 13, 14 have 2, 3 and 4 in the unit digit respectively.

Niraj said:   1 decade ago
What about 12,13,14,15,16,17,18?

RAVI TEJA ADARI said:   1 decade ago
Why should take ends with '1'?

Why not take other numbers?

Avnish said:   1 decade ago
In every 10 digits there is 1 or 9 are coming,

So we can tell that what is the % of 2 out of 10,

That is 20 % only.

Daniel said:   1 decade ago
The question doesn't specify that the digits 1 or 9 must be the last digits, so clearly all the number in the teens, would qualitfy as nubers between 1 and 70 that have the digit 1 OR 9.

Naga said:   1 decade ago
I con't understad this problem

Joape said:   1 decade ago
It does not count 10, 12, 13, 14, 15, 16, 17, 18.

and they did not state about the square in the question.

Uttam said:   2 decades ago
Inside the 10 there are 2 digits which ends with 1 and 9.

Number 70 consists 7 tens.

So total no of digits that end with 1 and 9 in 70 are,

7*2=14.

So percentage= (14/70) *100=20.

Gopal said:   2 decades ago
@pankaj.

It is wrong method unit digit means endshould be 1 or 9.

And 10 will be end in 0 so 10 is not include.


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