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 5 of 11.

Uday said:   9 years ago
We cannot keep 2 digits at a time at a unit place, right. so there should be 1 or 9.

Smithy said:   9 years ago
How to find those 14 numbers in between 1-70 is there any shortcut to find it?

Sarika said:   9 years ago
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.

I.E.

100% -------> 70 number.

X --------> 14.

(100x14) / 70 = 20%.

Rishav said:   9 years ago
Why you put 11 21 31and all?

Arjun said:   9 years ago
Please explain, what is unit digit?

Elly said:   9 years ago
@All.

This question has been tricky to understand but thanks to the various explanations. I've got it.

Kamall Barik said:   9 years ago
Thanks for your shortcut @Syed.

Ramesh kannan said:   8 years ago
Very easy 100 ÷ 0 = 1.4285714286.
Next 1.4285714286 * 14 = 20.

Panda said:   8 years ago
Why 1s of 12, 13,14...,18 is not calculated? Please explain.

Mustafa said:   8 years ago
Why 12, 13, 14, 15, 16, 17, 18 are not included?


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