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.

Syed Rasheed said:   6 months ago
1-10 = 2 available 1,9.
11-20 = 2 available 11,19.
21-30 = 2 available 21,29.
31-40 = 2 available 31,39.
41-50 = 2 available 41,49.
51-60 = 2 available 51,59.
61-70 = 2 available 61,69.
Q1/q2 ×100.
= 14/70 ×100
= 20.
(10)

Nikhil said:   3 years ago
@Lobsang.

Because, They didn't ask about us anyone's Square.

They just told you to find how many no belongs in 1to70 That last digit should come only 1 and 9. Like 01, 09, 11, 19, 21, 29. 69.

Hope you understood.
(19)

PANKAJ said:   1 decade ago
@ ROSS

The no 10 after squaring it does not end with 1.......
if u square to 1,11,19,21 it ends with 1

Squaring 10 = 10 x 10 = 100 it ends with 0
Squaring 11 = 11 x 11 = 121 it ends with 1

I think u got it.

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.

Puja said:   7 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%.

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.

Uttam said:   1 decade 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.

Narendra said:   6 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.

Nicky said:   1 decade ago
In question he said 1 or 9 in the units digit there are 4 numbers between 1 to 10 whose unit digit ends between 1 and 9 they are 1, 3, 7, 9 so tell me that what is the solution?

Faraz said:   8 years ago
It is very simple.

Now there are 14 numbers which start from 1 or 9 It means 14 out of 70.

Now take percentage of 14 out of 70 means multiply by 100 which is equal to 20%.


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