A number N when divided by 14 gives the remainder 5. What is the remainder when the same number is divided by 7?

Let p(x) = x 51 and q(x) = x 2 – 3x + 2 = (x – 1) (x – 2) When p(x) is divided by q(x), then by division algorithm there exists Q(x) and R(x) = ax+b such that  x51 = Q(x)(x-1)(x-2) + ax +b where Q(x)...

How will the plate cool faster & not the sphere

Its not timing its tuning

(a) : Ist Solution : Using Modulo Arithmetic 8 = –1 (modulo 9) Also 62 = –1 (modulo 9) ⇒ 82n – (62)2n + 1 = [(–1)2n – (–1)2n + 1]mod 9 =...

(a) Let the number be x  Then 3x/5-2x/5=250  x = 250 × 5 = 1250

(b) (89 – 73)% of x = 448 Number = 448 x 100/16 = 2800 49% of 2800 = 2800 x 49/100 = 1372

(b) Accoring to the question, (58 – 39)% of x = 247 or, number = 247 x 100/19 = 1300  62% of 1300 = 1300 x 62/100=  806

b) (58 – 39)% of number Number x 56/100 = 463.68 Number= 463.68 x 100/56= 828 25% of number = 828 x 25/100 = 207