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BdMO Bangladesh Mathematical Olympiad Regional (Sylhet) question 2014
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n 15 0
8 Find out a four digit natural number n, which is divisible by 15 and all digits are either 0 or 8.
457 111 ? A 457 rectangular body is fragmented in several 111 rectangular bodies by cutting. If it wasnt cut by more than one layer or through a stack at a time, how many times do you need to cut it in total?
ABCD EDF, D ADE=600 BC=3 ? ABCD is a circled rectangular and EDF is the tangent on the point D. If ADE=600 and BC=3 then find the value of the radius of the circle.
, n n =? , where n is a prime number. n =?
J, L A M 6 ? Mr. Jamal wants to name her son by following rules, the name will start with J, will end with L, and anyone between A and M will be in the middle. If his sons name is of six letters, how many ways are there Mr. Jamal can name her son?
x 102, (x+1) 73 x =? 102 is an integer in x-base number system. If you express it in x+1-base number system it becomes 73. x =?
ABCDE , AC= 2, AD= 3, BD=5, BE =1 = .
= a b a-b
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ABCDE is a circled pentagon. AC= 2, AD= 3, BD=5, BE =1 and = . = (where a and b are co-prime)Find the value a-b?
202 , , , , 10 , 10 , ? Magicland has less than 202 people. In Magicland each person knows exactly the same number of person they dont know. i.e. if you know me then I know you too. If you dont then I dont. If you know 10 people then there are 10 people whom you dont know. What can be the maximum number of people living in Magicland?
ABC 16 BC D AB AC DE DF O AD EF AOF ? In ABC equilateral triangle the length of each side is 16. DE and DF are drawn perpendicular to AB and AC respectively from the point D. O is the intersection point of AD and EF. Find the circum-radius of AOF.
a b (ac+b)=2(bc+a), (c-2), 3 , (a-2b) =? a and b are co-prime and (ac+b)=2(bc+a). If c-2 is divisible by 3 then a-2b =?