TCS Number System and HCF and LCM Quiz-1

Find the greatest number that will divide 148 246 and 623 leaving remainders 4 6 and 11 respectively?

For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds:
• X $ X = 0 for all X
• X $ (Y $ Z) = X $ Y + Z
Find the Value of 2012 $ 0 + 2012 $ 1912?

If A=x³y² and B=xy³ then find the HCF of A, B?

In how many way possible ways can you write 1800 as a product of 3 positive integers X, Y , Z?

A number when successively divided by 5, 3, 2 gives remainder 0, 2, 1 respectively in that order. What will be the remainder when the same number is divided successively by 2, 3, 5 in that order?

Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460?

What will be the reminder when (1234567890123456789)²⁴ is divided by 6561?

The remainder when m + n is divided by 12 is 8, and the remainder when m - n is divided by 12 is 6. If m > n, then what is the remainder when mn divided by 6?

A number 2088 by what if we divide the number it will become a perfect square?