Try this beautiful problem from the American Invitational Mathematics Examination, AIME I, 2000 based on Logarithms and Equations. Logarithms and Equations – AIME I 2000 \(log_{10}(2000xy)-log_{10}xlog_{10}y=4\) and \(log_{10}(2yz)-(log_{10}y)(log_{10}z)=1\) and...

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Sum of divisors and Integers. Sum of divisors and Integers (B.Stat Objective Question) The sum of all positive divisors of 1800, where 1 and 1800 are also considered as divisors of 1800, is...

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Integers and divisibility. Divisibility and Integers (B.Stat Objective Question ) 300 digit number with all digits equal to 1 is divisible neither by 37 nor by 101divisible by both 37 and...

Try this problem from I.S.I. B.Stat Entrance Objective Problem from TOMATO based on Sets and Probability. You may use sequential hints to solve the problem. Sets and Probability (B.Stat Objective problems) Sixty students appeared in a test consisting of three papers I...

Problem – Number Series ( B.Stat Objective Problem ) We are going to discuss about Number Series from B.Stat Objective Problem . A student studying the weather for d days observed that(i) it rained on 7 days morning or afternoon, (ii) when it rained in the...

Problem – Numbers and Group (B.Stat Objective Problem) We are going to discuss about Numbers and Group from B.Stat Objective Problem . In a group of 120 persons there are 80 Bengalis, 40 Gujratis, Further 71 persons in the group are Muslims and the remaining...