If R and S are different integers both divisible by 5, then which of the following is not necessarily true?

Solution: True. Justification: Let a, a + 1 be two consecutive positive integers. By Euclid’s division lemma, we have a = bq + r, where 0 ≤ r < b For b = 2 , we...

Solution: True. Justification: At least one out of every three consecutive positive integers is divisible by 2. Therefore, The product of three consecutive positive integers is divisible by 2. At least one out of every...

Solution: Since x and y are odd positive integers, we have x = 2m + 1 and y = 2n + 1 => x2 + y2 = (2m + 1)2 + (2n +...

Correct answer is option (C) 0 ≤ r < b

True,because n(n+1) will always be even, as one out of the n or (n+1) must be even.

True, because n(n+1)(n+2) will always be divisible by 6, as least one of the factors will be divisible by 2 and at one of the factors will be divisible by...

No; No A physical quantity having both magnitude and direction need not be considered a vector. For example, despite having magnitude and direction, current is a scalar quantity. The essential requirement...

True, because n(n + 1) will always be even, as one out of the n or n+1 must be even.

(b)  Persons Shirt Pant Black Blue Orange Green Yellow Orange A X ✓ X ✓ B ✓ X ✓ C ✓ X ✓ Colour of C’s Pant-Green and Colour of C’s Shirt-Blue

(B) A is the third place