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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

Read Solution (Total 1)

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.
13 years agoHelpfull: Yes(10) No(7)

TCS Other Question

A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time?

a) 1 in 16
b) 1 in 125
c) 1 in 32
d) 1 in 25 Rearrange the following letters to make a word and choose the category in which it Ms RAPETEKA
a) Bird b) Vegetable c) City d) Fruit