Latest TCS Aptitude Question SOLUTION: Alok is attending a workshop. How to do more with lesser and today's theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved

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Alok is attending a workshop. How to do more with lesser and today's theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as womankind) had only worked with fewer digits.
The problem posed at the end of the workshop is
How many four digit numbers can be formed using the digits 1,2,3,4,5
(but with repetition) that are divisible by 4?

Can you help Alok find the answer?
a) 100 b) 125 c) 75 d) 85

Asked In TCS Aditi Sharma (13 years ago)

Solved avishek chakraborty Read Solution (1)

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Read Solution (1) :

avishek chakraborty  (12 years ago)

b)125
The 4 digit number divisible by 4 can be formed if the last 2 digits are divisible by 4
i.e(12,24,32,44,52)
Taking this 2 digits as one, we have the formation of 4 digit number from 5 digits in 5^3 ways (i.e.taking 2 digits as one, there will be 2 more digits at 100th and 1000th place)(with repetition)
Thus, The total no four digit numbers can be formed using the digits 1,2,3,4,5(with repetition)is
=5^3
=125.

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