Mymensingh higher secondary 2015 problemset

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samiul_samin
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Mymensingh higher secondary 2015 problemset

Unread post by samiul_samin » Mon Feb 18, 2019 12:18 am

Problem 1
There are $5$ Fridays, $4$ Tuesdays and $5$ Wednesdays in a month. How many Thursdays are there in that month?

Problem 2

The $GCD$ and$ L.C.M$ of two numbers are respectively $16$ and $96$. If the average of the numbers is $40$ then find those numbers.

Problem 3

There are five teams in a tournament. Each team will play every other team exactly once. They’ll get $2$ points for each win, $1$ point for each draw but will not receive any point for a loss. After the tournament, points of four teams are $7, 6, 3$ and $4$. How much point does the fifth team have?

Problem 4

In a bank there are $1000$ vaults. Of them first one is open, next two are closed, next three are open, and next four are closed, and so on… Total how many vaults are open then?

Problem 5
The salary payment option in Opu’s office is very peculiar. He isn’t paid anything for his first day job, on the $2^{nd}$ day he receives $1$ taka. And then from the day onwards, he receives the sum of the previous day’s salary. How many days will Opu need to do his job for receiving $10,000$ tk in total from the office?


Problem 6
Screenshot_2019-02-18-00-19-22-1.png
In the diagram of rectangular $ABCD$ ,$AE=4$ , $BE=6$,$CE=5$ and $DE=\sqrt x$.
Find the value of $x$.

Problem 7
$8$ points are taken on a circle. What is the probability of being these points on same half circle? Write down the answer in fraction.

Problem 8
In a parallel math club there are five boys and nine girls. Once the club trainer wanted to take a photo of all the members standing in a row. He told that boys will stand according to their height in decreasing order from left to right and girls will stand according to their height in increasing order from left to right. Assuming that everyone’s height is different, how many ways they can stand?

Problem 9

A prime numbers set is considered where the number of elements is $5$, the numbers are in an arithmetic progression where the common difference is $6$, how many set like this are there?

Problem 10
In the series $2006, 2007, 2008 ………. 4012$ find the summation of the maximum odd divisor of every number.
Note
Exam date:19.12.2014
Time:75 minutes
Venue:Agriculture University high school
Happy problem solving :D :D :D

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