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OcRam
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Posted on 08-13-08 2:02
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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?
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lootekukur
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Posted on 08-14-08 1:09
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hahahaha..no_quiero, you ask that qusestion after the one posed by ocram has been solved?
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Debonair
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Posted on 08-14-08 2:58
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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.
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lootekukur
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Posted on 08-14-08 3:01
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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
Last edited: 14-Aug-08 03:06 PM
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OcRam
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Posted on 08-14-08 3:05
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Impossible if we go for integers. If they are just real numbers, it is an identity: x = y / (y-1) with infinite solutions
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parbatya
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Posted on 08-14-08 3:08
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What is the answer of this question from Loots?
Is -22 a leap year?
My answer is : may be
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lootekukur
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Posted on 08-14-08 3:16
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yeah ocram. and assuming he allows one decimal point, 1.5 and 3 is another solution. parbatya, i need reason(s) :P
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OcRam
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Posted on 08-14-08 3:22
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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).
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sumiit
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Posted on 08-14-08 3:24
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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
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parbatya
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Posted on 08-14-08 3:34
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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
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lootekukur
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Posted on 08-14-08 3:58
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hahaha..parabatya, ocram's long post has the solution. -22 is 21 bc
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OcRam
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Posted on 08-14-08 4:01
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ooo, ok. So that's what -22 was...Cool
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no_quiero
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Posted on 08-15-08 12:52
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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
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