# Recent questions tagged isi2012

1 vote
1
Given an array $A = \{a_1, a_2, \dots, a_n\}$ of unsorted distinct integers, write a program in pseudo-code for the following problem: given an integer $u$, arrange the elements of the array $A$ such that all the elements in A which are less than or equal to $u$ ... the elements which are greater than $u$ are at the end of the array. You may use at most 5 extra variables apart from the array $A$.
2
Professor Hijibiji has defined the following Boolean algebra $\mathcal{B} = (B, +, *)$, where $B = \{1, 2, 3, 5, 6, 10, 15, 30\}$, i.e., the set of all eight factors of $30$; the two binary operators $’+’$ and $’*’$ respectively denote the LCM (least common multiple) and GCD (greatest common divisor) of two integer operands. Which are the identity elements for $\mathcal{B}$?
1 vote
Professor Hijibiji has defined the following Boolean algebra $\mathcal{B} = (B, +, *)$, where $B = \{1, 2, 3, 5, 6, 10, 15, 30\}$, i.e., the set of all eight factors of $30$; the two binary operators $'+'$ ... (least common multiple) and GCD (greatest common divisor) of two integer operands. Show that the two operations of $\mathcal{B}$ satisfy associativity commutativity distributivity.
How many $0$’s are there at the end of $50!$?
A group of $15$ boys plucked a total of $100$ apples. Prove that two of those boys plucked the same number of apples.