Search found 81 matches

by nahin munkar
Tue Jan 08, 2019 1:45 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Primary 2018/7
Replies: 1
Views: 970

BDMO National Primary 2018/7

abc is a three digit number. abc is appended to abc to create a six digit number abcabc. If abcabc is divisible by abc $\times$ abc, then determine the abc .
by nahin munkar
Tue Jan 08, 2019 1:32 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Primary 2018/6
Replies: 1
Views: 920

BDMO National Primary 2018/6

An even number is called a ‘good’ even number if its first and last digits are also an even number. How many $3$-digit ‘good’ even numbers are there? Try to find their number without writing all such number!
by nahin munkar
Tue Jan 08, 2019 1:29 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Primary 2018/5
Replies: 1
Views: 918

BDMO National Primary 2018/5

A singles tournament had six players. Each player played every other player only once, with no ties. If Pritom won $3$ games, Monisha won $2$ games, Sadman won $3$ games, Richita won $3$ games and Somlota won $2$ games, how many games did Zubayer win?
by nahin munkar
Tue Jan 08, 2019 1:27 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Primary 2018/4
Replies: 4
Views: 1753

BDMO National Primary 2018/4

In square $ABCE$, $AF=3FE$ & $CD=3ED$. What is the ratio of the area of triangle $\triangle BFD$ and square $ABCE$ ?
by nahin munkar
Tue Jan 08, 2019 1:21 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Primary 2018/3
Replies: 1
Views: 927

BDMO National Primary 2018/3

The area of a rectangle is $120$. All the lengths of the sides of this rectangle are integer, what can be the lowest possible perimeter of this rectangle ?
by nahin munkar
Tue Jan 08, 2019 1:19 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Primary 2018/2
Replies: 1
Views: 878

BDMO National Primary 2018/2

Two-thirds of the people in a room sat in three-fourths of the chairs. The rest of the people remained standing. If there were $6$ empty chairs, how many people were there in the room ?
by nahin munkar
Tue Jan 08, 2019 1:18 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Primary 2018/1
Replies: 1
Views: 913

BDMO National Primary 2018/1

The average age of the $5$ people in a Room is $30$. The average age of the $10$ people in another Room is $24$. If the two groups are combined, what is the average age of all the people?
by nahin munkar
Tue Jan 08, 2019 1:16 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Junior 2018/6
Replies: 4
Views: 1451

BDMO National Junior 2018/6

Given $8$ lines on a plane and no two of them are parallel. Prove that, at least two of them form an angle less than 23°.
by nahin munkar
Tue Jan 08, 2019 1:08 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Junior 2018/5
Replies: 1
Views: 1026

BDMO National Junior 2018/5

$3x^2 + y^2 = 108$ ;
Determine all the positive integer values of $x$ and $y$.
by nahin munkar
Tue Jan 08, 2019 1:05 pm
Forum: National Math Olympiad (BdMO)
Topic: BDMO National Junior 2018/4
Replies: 1
Views: 986

BDMO National Junior 2018/4

The squares of three positive numbers add up to $2018$. The biggest of these three numbers is the sum of the smaller two. If the difference between the smaller two numbers is $2$, what is the difference between the cubes of the smaller two numbers?