The Palindromic Numbers Party
5:23 PM
Muhammad Yusuf
, Posted in
You are invited to a party of
palindromic numbers. Each number comes up to you and introduces himself or
herself:
1. The first palindromic number
you meet introduces himself as an odd number. He is the smallest four-digit odd
palindromic number. What number is he?
2. Walking through the door, you
are greeted by a lady. She is an odd number and the sum of her three individual
digits is 2. What number is she?
3. Another lady is enjoying her
ice cream in one corner. She introduces herself as an odd number and the
product of her two digits is 9. What number is she?
4. A man is about to sing on the
stage! Before singing, he introduces himself as an even five-digit number and
the product of all his five individual digits is 4. What number is he?
5. You meet with an odd couple.
The man reveals that he is 6789 (not a palindrome) and he says his wife is the
next largest palindromic number that comes after him. What number is his wife?
6. You see three kids who are
wearing the same outfits. The first kid says he is 3333 and the second kid
introduces himself as 3443. They say the third kid is a palindromic number
between them. Is it possible?
7. You meet a giant on your way
to the washroom. He is a seven-digit number. The sum of all of his seven digits
is 4. How many different numbers could he be?
8. A lady comes and greets you.
She says she is a five-digit palindromic number. The sum and the product of all
of her five indivdual digits are both 8. She ends in 2. What number is she?
9. You meet a simple guy. He is
the largest one-digit palindromic number. What number is he?
10. The party is about to end.
The number 7667 comes and asks for your identity. You reveal that the sum of
all your four digits is 21. Well, 7667 seems confused since the sum of the four
individual digits of any four-digit palindromic number is always a(n)
(odd/even/square/perfect) number.
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