MBA Exam

What is the remainder when 28! is divided by 29?

1) 29
2) 28
3) 26
4) 1
5) NOT

Read Solution (Total 2)

28

as 29 is prime number.
28!/29 will give 28 as remainder.

As per wilson's theorem

(p – 1)! + 1 is divisible by p if p is a prime number. We can say this also that the remainder when (p-1)! is divided by p, will be -1 or (p-1).
11 years agoHelpfull: Yes(2) No(0)

if (x-1)!/x then reminder will be (x-1),hence answer is 28(2)
9 years agoHelpfull: Yes(1) No(0)

MBA Other Question

xy + zy = 37 and xz + zy = 72. Find the number of ordered triplets (x, y and z) such that x, y and z are positive integers.

1) 1
2) 3
3) 2
4) 0
there are 7 children standing in the line,not all of whom have the same number of cakes with them.if the first child distributes his cakes to the remaining 6 children such that he doubles their respective no. of cakes,then he will be left with four cakes.instead,if the 2 child takes away 2 cakes from each of the remaining 6 children,then he will be left with 2 cakesless than the no. of cakes that the first child initially had.what is the total no. of cakes that are there with the third child to the seventh child?pl. provide sol. also

1) 11
2) 14
3) 12
4) 15