লাল অংশটা এবং সাথে এর পরে যা যা ধরস (৪টা ৪ ভাবে, ৫টা ৫ ভাবে... ) এইগুলা ভুল হইসে।sm.joty wrote: ....
অর্থাৎ ১ম এ একবারে ১১ টা পার হবে তারপর ১ টা। ১ ভাবে।
২য় ক্ষেত্রে প্রথম ১০ টা একবারে তারপর বাকি ২ টা যাওয়া যায় ২ ভাবে।
৩য় ক্ষেত্রে প্রথম ৯ টা একবারে তারপর বাকি ৩ টা যাওয়া যায় ৩ ভাবে।
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Search found 172 matches
- Mon Feb 13, 2012 8:25 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Higher Secondary 02
- Replies: 12
- Views: 16930
Re: BdMO National 2012: Higher Secondary 02
- Sun Feb 12, 2012 1:59 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Primary 10
- Replies: 1
- Views: 3151
BdMO National 2012: Primary 10
Problem 10:
Tusher chose some consecutive numbers starting from $1$. He noticed that the least common multiple of those numbers is divisible by $100$. What is the minimum number of numbers he chose?
Tusher chose some consecutive numbers starting from $1$. He noticed that the least common multiple of those numbers is divisible by $100$. What is the minimum number of numbers he chose?
- Sun Feb 12, 2012 1:56 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Primary 6
- Replies: 1
- Views: 3085
BdMO National 2012: Primary 6
Problem 6: Consider the given diagram. There are three rectangles shown here. Their lengths are $3,\ 4$ and $5$ units respectively, widths respectively $2,\ 3$ and $4$ units. Each small grid represents a square $1$ unit long and $1$ unit wide. Use these diagrams to find out the sum of the consecuti...
- Sun Feb 12, 2012 1:52 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Primary 5
- Replies: 3
- Views: 4484
BdMO National 2012: Primary 5
Problem 5: If a number is multiplied with itself thrice, the resultant is called its cube. For example: $3 × 3 × 3 = 27$, hence $27$ is the cube of $3$. If $1,\ 170$ and $387$ are added with a positive integer, cubes of three consecutive integers are obtained. What are those three consecutive integ...
- Sun Feb 12, 2012 1:50 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Primary 4
- Replies: 8
- Views: 7874
BdMO National 2012: Primary 4
Problem 4:
Write a number in a paper and hold the paper upside down. If what you get is exactly same as the number before rotation then that number is called beautiful. Example: $986$ is a beautiful number. Find out the largest $5$ digit beautiful number.
Write a number in a paper and hold the paper upside down. If what you get is exactly same as the number before rotation then that number is called beautiful. Example: $986$ is a beautiful number. Find out the largest $5$ digit beautiful number.
- Sun Feb 12, 2012 1:20 pm
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Primary 1
- Replies: 8
- Views: 8217
BdMO National 2012: Primary 1
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 example: $23+32=55 $
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 example: $23+32=55 $
- Sun Feb 12, 2012 9:32 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Junior 10
- Replies: 3
- Views: 4245
BdMO National 2012: Junior 10
Problem 10:
The $n$-th term of a sequence is the least common multiple (l.c.m.) of the integers from $1$ to $n$. Which term of the sequence is the first one that is divisible by $100$?
The $n$-th term of a sequence is the least common multiple (l.c.m.) of the integers from $1$ to $n$. Which term of the sequence is the first one that is divisible by $100$?
- Sun Feb 12, 2012 9:29 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Junior 9
- Replies: 2
- Views: 3849
BdMO National 2012: Junior 9
Problem 9:
Given triangle $ABC$, the square $PQRS$ is drawn such that $P,\ Q$ are on $BC,\ R$ is on $CA$ and $S$ is on $AB$. Radius of the triangle that passes through $A,\ B,\ C$ is $R$. If $AB = c,\ BC = a,\ CA = b,$ Show that $\frac{AS}{SB}=\frac{bc}{2aR}$
Given triangle $ABC$, the square $PQRS$ is drawn such that $P,\ Q$ are on $BC,\ R$ is on $CA$ and $S$ is on $AB$. Radius of the triangle that passes through $A,\ B,\ C$ is $R$. If $AB = c,\ BC = a,\ CA = b,$ Show that $\frac{AS}{SB}=\frac{bc}{2aR}$
- Sun Feb 12, 2012 9:22 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Junior 7, Primary 9
- Replies: 2
- Views: 4006
BdMO National 2012: Junior 7, Primary 9
Problem: Each room of the Magic Castle has exactly one door. The rooms are designed such that when you can go from one room to the next one through a door, the second room's length is equal to the first room's width, and the second room's width is half of the first room's width (see the figure). Ea...
- Sun Feb 12, 2012 9:12 am
- Forum: National Math Olympiad (BdMO)
- Topic: BdMO National 2012: Junior 6
- Replies: 4
- Views: 4903
BdMO National 2012: Junior 6
Problem 6:
In triangle $ABC$, $AB=7,\ AC=3,\ BC=9$. Draw a circle with radius $AC$ and center $A$. What is the distance from $B$ to the point on the circle that is furthest from $B$?
In triangle $ABC$, $AB=7,\ AC=3,\ BC=9$. Draw a circle with radius $AC$ and center $A$. What is the distance from $B$ to the point on the circle that is furthest from $B$?