CMI entrance 28-05-09

Q. Find the first non-zero digit from the right when 25 ! is written in base 5 notation.

Q. There are 3 circular coins each with different radii … They are placed touching each other externally. The distance from the centre to each circle is 1, √3 and 2 units.
Find the area of the gap included between the 3 coins.

{ i didn't understand this "distance from centre to each circle" part [7] }

Also, what is a decent score for CMI out of 100 ??? ... anybody else gave it?

10 Answers

11
Mani Pal Singh ·

Q2
the answer "distance from center to each circle" is that all the three circles which are touching externally have the distance from their respective centers as 1,√3,2.
I suggest u to take some specific circles .
The appropriate fig will be

U can observe that we have a right triangle.
aage area kaise nikaal na hai[12][12][12]

13
Двҥїяuρ now in medical c ·

What are the radii??

1
Mirka ·

radii is not given in Qsn

13
Двҥїяuρ now in medical c ·

thats ok...but we have to find that...

1
Mirka ·

yeah .. got it ... Thanks,
any clue about the 25 ! one??

13
Двҥїяuρ now in medical c ·

what ans did u get? 4 d second one...i m getting a bad looking ans....

1
Mirka ·

im getting

!

9
Celestine preetham ·

Q1
25! is divisible by 56 and not by 57

its of form 56( a +5b ) we need to find a

a = (25!/56)% 5

1
Mirka ·

But cele, how do we find that ?? [7]

9
Celestine preetham ·

write

12 as 10 +2

13 as 10+3

24 as 20+4 so on in frm 5β + α

so 25!/56 mod 5 = (4.3.2.1)5 mod 5 =(25-1)5mod5 = 4

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