MEDIUM
CAT
IMPORTANT
Earn 100
Find the sum of all three digit numbers that give a remainder of when they are divided by .
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Important Questions on Number Systems
MEDIUM
CAT
IMPORTANT
Find the sum of all two digit numbers that give a remainder of when they are divided by .
MEDIUM
CAT
IMPORTANT
Find the sum of all odd three digit numbers that are divisible by 5.
MEDIUM
CAT
IMPORTANT
The product of a two digit number by a number consisting of the same digits written in the reverse order is equal to . Find the lower number.
HARD
CAT
IMPORTANT
Find the lowest of three numbers as described: If the cube of the first number exceeds their product by , the cube of the second number is smaller than their product by , and the cube of the third number exceeds their product by .
MEDIUM
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IMPORTANT
How many pairs of natural numbers are there the difference of whose squares is ?
MEDIUM
CAT
IMPORTANT
Find all two digit numbers such that the sum of the digits constititing the number is not less than , the sum of the squares of the digits is not greater than , the number consisting of the same digits written in the reverse order is not larger than half the given number.
EASY
CAT
IMPORTANT
In a four digit number, the sum of the digits in the thousands, hundreds and tens is equal to , and the sum of the digits in the units, tens and hundreds is equal to Among all the numbers satisfying these conditions, find the number the sum of the squares of whose digits is the greatest.
MEDIUM
CAT
IMPORTANT
In a four digit number, the sum of the digits in the thousands, hundreds and tens is equal to , the sum of the digits in the hundreds and the units is , and the digit of the unit exceeds by the digit of the thousands. Among all the numbers satisfying these conditions, find the number. The sum of the product of whose digit of the thousands by the digit of the units and the product of the digit of the hundreds by that of the tens assumes the least value.
