EASY
CAT
IMPORTANT
Earn 100
A number is such that when divided by , , , or , it leaves the remainder , , , or , respectively. Which is the largest number below that satisfies this property?
50% studentsanswered this correctly
Important Questions on Number Systems
EASY
CAT
IMPORTANT
A number, when divided by , , and , leaves a remainder of . Find the least number (after ) that satisfies this requirement.
EASY
CAT
IMPORTANT
A number, when divided by , , and , leaves a remainder of . Find the second-lowest number (not counting ) that satisfies this requirement.
EASY
CAT
IMPORTANT
A number, when divided by , , and , leaves a remainder of . Find the highest two-digit number that satisfies this requirement.
EASY
CAT
IMPORTANT
A number, when divided by , , and , leaves a remainder of . Find the highest three-digit number that satisfies this requirement.
EASY
CAT
IMPORTANT
A frog is sitting on vertex of a square . It starts jumping to the immediately adjacent vertex on either side in a random fashion and stops when it reaches point . In how many ways can it reach point if it makes exactly jumps?
EASY
CAT
IMPORTANT
Three bells ring at intervals of seconds, seconds, and seconds, respectively. If they ring together for the first time at a.m. in the morning, after what interval of time will they together ring again for the first time?
EASY
CAT
IMPORTANT
Three bells ring at intervals of seconds, seconds, and seconds, respectively. If they ring together for the first time at a.m. in the morning, how many times would they ring together in the next hour?
EASY
CAT
IMPORTANT
A garrison has three kinds of soldiers. There are soldiers of the first kind, soldiers of the second kind, and soldiers of the third kind. It is desired that these soldiers be arranged in equal rows such that each row contains the same number of soldiers, and there is only one kind of soldier in each row. What is the maximum number of soldiers that can be placed in each row?
