Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.
Find the greatest number of four digits which is divisible by 14, 30 and 42.
How many factors of 23 × 33 × 54 × 73 are divisible by 50 but not by 100.
If a nine-digit number 785x3678y is divisible by 72, then the value of (x − y) is:
A seven-digit number 489y5z6 is divisible by 72. Which of the options gives the highest possible product of y and z?
Find the remainder obtained by dividing 961125 by 37.
Find the remainder when 2722 is divided by 729.
Find the largest number that divides 400, 500, and 600, leaving remainders 10, 20, and 30 respectively.
Find the remainder when 23 x 34 x 45 x 56 x 67 x 78 is divided by 11.
What is the value of a so that the seven-digit number 4645a52 is divisible by 72?