Advertisements
Advertisements
प्रश्न
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy
विकल्प
1 < r < b
0 < r < b
0 ≤ r < b
0 < r ≤ b
उत्तर
0 ≤ r < b
APPEARS IN
संबंधित प्रश्न
Prove that the square of any positive integer is of the form 4q or 4q + 1 for some integer q.
Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.
Find the simplest form of `473/645` .
Find the largest number which divides 320 and 457 leaving remainders 5 and 7 respectively.
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `17 /320`
Express each of the following as a rational number in its simplest form:
(i`) 0.bar (8)`
The sum of two irrational number is an irrational number (True/False).
If the LCM of a and 18 is 36 and the HCF of a and 18 is 2, then a =
Write whether every positive integer can be of the form 4q + 2, where q is an integer. Justify your answer.
Use Euclid’s division algorithm to find the HCF of 441, 567, 693.
