A four digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D. What is it?

Programming 101

for A=1:9
for B=1:9
for C=1:9
for D=1:9
    x=A*1000+B*100+C*10+D;
    y=A^B*C^D;
    if x==y
        disp(x)
    end
end
end
end
end
        2592

with assumption that there is no zero in the number???

??
what you mean?
with or without assumptions, it's still a programming problem ..u just have to tweak the for loop and that;s it. :D

Q.No 3.

Is -22 a leap year?

Loots, you far ahead of us. What do you eat on your daily meal? I know you are not disclosing at any cost. Just start one thread "how to remeber everything?" Only 1% solution is a good medicine (more than 1% can be toxic though) for us.

OcRam, Have fun in the graduation ceremony and Party. Convey my 'congrats' to new graduates.

.Thank you Looteji for the key (2592).

 Solving mathematically,
2592 = (2^5) * (9^2)

(Is there an alternate way, excluding Programming 101 and Excel?)

hahaha...parbatya- what do i eat? well, everything and anything that's edible (you know what i mean? hahaha)

ocram- congratz on the graduation? when's the party in sajha? :D

flips-
Lootji? where's that 'ji'' coming from? hahaha...and you're out of your shelf ? peeking at it from behind the curtain doesn't help consistently now does it? hahaha..

 if it takes 'mathematics' to get poeple out of their closets then i say, OCram, more threads please ! hahaha

i think solving (not verifying) this mathematical equation will be 10 fold difficult than solving it using programs. however, if you are interested, go ahead give it a shot. (logarithm is the hint :P)

Please tell me two numbers which gives same answer while multiplication or addition.?

x*y =  x+ y

What is X and Y.

 please don't tell me   2 *2 = 2+2  or 0*0 = 0+0 . The answers are other other than 2 and 0.

hahahaha..no_quiero,
you ask that qusestion after the one posed by ocram has been solved?

no-quiero, if the pre-conditions are two different digits other than 0 and 2, then, there is no solution.

The following statement printed no value at all:

For x = 1 to 9
 For y = 1 to 9
  a = x * y
  b = x + y
  If a = b Then
   If x <> y Then
    Print (x & "  :  " & y)
   End If
  End If
 Next
Next

Please correct me if I am wrong.

 

debonair,
he says: two numbers, and not digits. but even if they're numbers, the higher the numbers, the lesser is the probability that their sum is equal to their product.

oh unless it's infinity hahahaha...inf*inf=inf+inf :D

Impossible if we go for integers. If they are just real numbers, it is an identity: x = y / (y-1) with infinite solutions

What is the answer of this question from Loots?

Is -22 a leap year?

My answer is : may be

yeah ocram.
and assuming he allows one decimal point, 1.5 and 3 is another solution.

parbatya,
i need reason(s) :P

no idea about Loote's question, but here is what I googled about leap year.
 

A leap year is a year in which an extra day is added to the calendar in order to synchronize it with the seasons. Since the tropical year is 365.242190 days long, a leap year must be added roughly once every four years (four times the fractional day gives ). In a leap year, the extra day (known as a leap day) is added at the end of February, giving it 29 instead of the usual 28 days.

In the Gregorian calendar currently in use worldwide (except perhaps the Russian and Iranian calendars), there is a leap year every year divisible by four except for years which are both divisible by 100 and not divisible by 400. Therefore, the year 2000 will be a leap year, but the years 1700, 1800, and 1900 were not. The complete list of leap years in the first half of the 21st century is therefore 2000, 2004, 2008, 2012, 2016, 2020, 2024, 2028, 2032, 2036, 2040, 2044, and 2048.

The extra rule involving centuries is an additional correction to make up for the fact that one extra day every four years is slightly too much correction (). This scheme results in the vernal equinox gradually shifting its date between March 19 and 21, being shifted once every leap year, and then being abruptly shifted in non-leap centuries (see figure above).

In the Gregorian calendar, 97 years out of every 400 are leap years, giving the total number of days in 400 years as

The leap year was introduced in the Julian calendar in 46 BC. However, around 10 BC, it was found that the priests in charge of computing the calendar had been adding leap years every three years instead of the four decreed by Caesar (Vardi 1991, p. 239). As a result of this error, no more leap years were added until 8 AD. Leap years were therefore 45 BC, 42 BC, 39 BC, 36 BC, 33 BC, 30 BC, 27 BC, 24 BC, 21 BC, 18 BC, 15 BC, 12 BC, 9 BC, 8 AD, 12 AD, and every fourth year thereafter (Tøndering), until the Gregorian calendar was introduced (resulting in skipping three out of every four centuries). The UNIX command cal incorrectly lists 4 AD as a leap year (Vardi 1991).

How to determine whether a year is a leap year

To determine whether a year is a leap year, follow these steps:

1.	If the year is evenly divisible by 4, go to step 2. Otherwise, go to step 5.
2.	If the year is evenly divisible by 100, go to step 3. Otherwise, go to step 4.
3.	If the year is evenly divisible by 400, go to step 4. Otherwise, go to step 5.
4.	The year is a leap year (it has 366 days).
5.	The year is not a leap year (it has 365 days).

Solution:

22 is not evenly divisible by 4. So it is not a leap year!!  :)

LOL

Let me start with few reasons before thinking for more

1436, 1840, 2244....... are leap years

In each case last two digit minus first two results -22.

The year 2030-22=2008 is a leap year JPT

hahaha..parabatya,

ocram's long post has the solution. -22 is 21 bc

ooo, ok. So that's what -22 was...Cool

Please tell me two numbers which gives same answer while multiplication or addition.?

x*y =  x+ y

What is X and Y.


Nobody gave me the answers.

The answer is  1.5  and 3.

3+1.5=4.5
3*1.5=4.5

similarly, you can get hundreds of other answers just by putting value of X. suppose X = 4, then Y 4/3.

4 *4/3= 16/3
4+4/3= 16/3