Advertisements
Advertisements
Question
Show that 107 is of the form 4q +3 for any integer q
Solution
107 = 4 × 26 + 3.
This is of the form a = bq + r.
Hence it is proved.
APPEARS IN
RELATED QUESTIONS
Show that any positive odd integer is of the form 6q + 1 or, 6q + 3 or, 6q + 5, where q is some integer.
Define HOE of two positive integers and find the HCF of the following pair of numbers:
105 and 120
Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.
Find the smallest number which when increased by 17 is exactly divisible by both 468 and 520
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `23/(2^3 × 5^2)`
What do you mean by Euclid’s division algorithm.
Prove that following numbers are irrationals:
If a and b are relatively prime numbers, then what is their LCM?
Find all positive integers, when divided by 3 leaves remainder 2
If the HCF of 408 and 1032 is expressible in the form 1032 x 2 + 408 × p, then the value of p is ______.