This hardcore stuff about “infinity” , quite nicely, explained was pointed out to me by my ISC XII student, Mr. Utkarsh Malhotra! 🙂
This hardcore stuff about “infinity” , quite nicely, explained was pointed out to me by my ISC XII student, Mr. Utkarsh Malhotra! 🙂
Problem 1:
Find all natural numbers n such that ends with exactly 26 zeros.
Problem 2:
Find the largest two digit prime that divides .
Problem 3:
Find all natural numbers such that
is divisible by 25.
Problem 4:
When is computed, it ends in 7 zeros. Find the digit that immediately precedes these zeros.
Problem 5:
Prove that is a natural number for all
.
Cheers,
Nalin Pihwa.
“We had to answer all the questions, just “Yes” or “No”.” Fran explained. “The first paper I got only five wrong.”
Ben smiled. “That sounds good. What about the other paper?”
“Tough, but the same number of questions,” the girl replied. “I got just a third of them wrong, so over all I got 75 percent right for the two papers.”
How many questions in each paper?
Cheers,
Nalin Pithwa.
“It’s only teenage infatuation,” Tom declared. “I do like Bob, but he is double your age.”
“Come on, Dad, that’s nothing these days,” Cathy replied. “He doesn’t look it, and anyway three years ago the digits of my age added up to the same as the digits of his age did.”
What they call a non-sequitur? How old was she?
Reference: Entertaining Mathematical Teasers, and how to solve them by J.A.H. Hunter, Dover Publications Inc., New York, available at Amazon India.
Cheers,
Nalin Pithwa.