Question

Prove that the product of two consecutive positive integers is divisible by 2.
When the positive integers a, b and care divided by 13, the respective remainders are
9,7 and 10. Show that a+b+c is divisible by 13.
Prove that square of any integer leaves the remainder either 0 or 1 when divided by 4.
Use Euclid's Division Algorithm to find the Highest Common Factor (HCF) of
(i) 340 and 412
(ii) 867 and 255
(iii)10224 and 9648
(iv) 84, 90 and 120
Find the largest number which divides 1230 and 1926 leaving remainder 12 in each
case.
f dis the Highest Common Factor of 32 and 60, find x and y satisfying d=32x +60y.
positive integer when divided by 88 gives the remainder 61. What will be the
emainder when the same number is divided by 11?
Prove that two consecutive positive integers are always coprime.
Fundamental Theorem of Arithmetic
at u consider the following conversation between a Teacher and students.​

Answer 1

Answer:

Step-by-step explanation:

very nice why you did not copy paste all the book

so you are free from doing any thing

then what U ll do