Category: Real Numbers Solved Questions Class 10

Find the largest number which exactly divides 280 and 1245 leaving remainders 4 and 3, respectively

Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively

Find the largest number which divides 615 and 963 leaving remainder 6 in each case

If the HCF of 657 and 963 is expressible in the form 657x+963(-15), find x  

If the HCF of 408 and 1032 is expressible in the form 1032m-408×5, find m

Express the HCF of 468 and 222 as 468x+222y where x, y are integers in two different ways

For any positive integer , prove that n^3-n is divisible by 6

Prove that the product of three consecutive positive integers is divisible by 6

Prove that the square of any positive integer of the form 5q+1  is of the same form

Prove that if a positive integer is of the form 6q+5, then it is of the form 3q+2 for some integer q, but not conversely