Problem 4:
Consider the pattern অআআইইইঈঈঈঈউউউউউ... When the part with $11$ ‘ঔ’s end, the pattern continues with $12$ ‘অ’s, $13$ ‘আ’s and so on. What is the $2012^{th}$ letter in this pattern?
Search found 751 matches
- Sat Feb 11, 2012 11:20 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Higher Secondary 04
- Replies: 2
- Views: 3654
- Sat Feb 11, 2012 11:20 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Higher Secondary, Secondary 05
- Replies: 5
- Views: 5147
BdMO National 2012: Higher Secondary, Secondary 05
Problem: In triangle $ABC$, medians $AD$ and $CF$ intersect at point $G$. $P$ is an arbitrary point on $AC$. $PQ$ & $PR$ are parallel to $AD$ & $CF$ respectively. $PQ$ intersects $BC$ at $Q$ and $PR$ intersects $AB$ at $R$. If $QR$ intersects $AD$ at $M$ & $CF$ at $N$, then prove that area of trian...
- Sat Feb 11, 2012 11:19 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Higher Secondary, Secondary 03
- Replies: 1
- Views: 3248
BdMO National 2012: Higher Secondary, Secondary 03
Problem:
In a given pentagon $ABCDE$, triangles $ABC, BCD, CDE, DEA$ and $EAB$ all have the same area. The lines $AC$ and $AD$ intersect $BE$ at points $M$ and $N$. Prove that $BM = EN$.
In a given pentagon $ABCDE$, triangles $ABC, BCD, CDE, DEA$ and $EAB$ all have the same area. The lines $AC$ and $AD$ intersect $BE$ at points $M$ and $N$. Prove that $BM = EN$.
- Sat Feb 11, 2012 11:19 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Higher Secondary 02
- Replies: 12
- Views: 15416
BdMO National 2012: Higher Secondary 02
Problem 2: Superman is taking part in a hurdle race with $12$ hurdles. At any stage he can jump across any number of hurdles lying ahead. For example, he can cross all $12$ hurdles in one jump or he can cross $7$ hurdles in the first jump, $1$ in the later and the rest in the third jump. In how man...
- Sat Feb 11, 2012 11:19 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Higher Sec, Sec, Junior 01, Primary 02
- Replies: 19
- Views: 22383
BdMO National 2012: Higher Sec, Sec, Junior 01, Primary 02
Problem:
Subrata writes a letter to Ruponti every day (in successive intervals of $24$ hours) from Korea. But Ruponti receives the letters in intervals of $25$ hours. What is the number of the letter Ruponti receives on the $25^{th}$ day?
Subrata writes a letter to Ruponti every day (in successive intervals of $24$ hours) from Korea. But Ruponti receives the letters in intervals of $25$ hours. What is the number of the letter Ruponti receives on the $25^{th}$ day?
- Sat Feb 11, 2012 11:18 pm
- Forum: National Math Olympiad (BdMO)
- Topic: Subrata da & Ruponti didy- Higher Secondary 2012(1)
- Replies: 1
- Views: 2106
Re: Subrata da & Ruponti didy- Higher Secondary 2012(1)
Please don't post these problems randomly. I'll post them within a few mins.
- Sat Feb 11, 2012 10:43 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO 2012 National: Problem Sets
- Replies: 4
- Views: 44558
Re: BdMO 2012 National: Problem Sets
Bangladesh National Mathematical Olympiad 2012: Higher Secondary Problem 1: Subrata writes a letter to Ruponti every day (in successive intervals of $24$ hours) from Korea. But Ruponti receives the letters in intervals of $25$ hours. What is the number of the letter Ruponti receives on the $25^{th}...
- Sat Feb 11, 2012 10:39 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO 2012 National: Problem Sets
- Replies: 4
- Views: 44558
Re: BdMO 2012 National: Problem Sets
Bangladesh National Mathematical Olympiad 2012: Secondary Problem 1: Subrata writes a letter to Ruponti every day (in successive intervals of $24$ hours) from Korea. But Ruponti receives the letters in intervals of $25$ hours. What is the number of the letter Ruponti receives on the $25^{th}$ day? ...
- Sat Feb 11, 2012 10:37 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO 2012 National: Problem Sets
- Replies: 4
- Views: 44558
Re: BdMO 2012 National: Problem Sets
Bangladesh National Mathematical Olympiad 2012: Junior Problem 1: Subrata writes a letter to Ruponti every day (in successive intervals of $24$ hours) from Korea. But Ruponti receives the letters in intervals of $25$ hours. What is the number of the letter Ruponti receives on the $25^{th}$ day? htt...
- Sat Feb 11, 2012 10:34 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO 2012 National: Problem Sets
- Replies: 4
- Views: 44558
BdMO 2012 National: Problem Sets
Bangladesh National Mathematical Olympiad 2012: Primary Problem 1: Find a three digit number so that when its digits are arranged in reverse order and added with the original number, the result is a three digit number with all of its digits being equal. In case of two digit numbers, here is an exam...