1)

H.C.F. of 4 x 27 x 3125, 8 x y x 25 x 7 & 16 x 81 x 5 x 11 x 49 is :


A) 180

B) 360

C) 450

D) 1260

Answer:

Option A

Explanation:

Given,

4 x 27 x 3125 : 22 x 33 x 55

8 x y x 25 x 7: 23 x 52 x 7 x y

16 x 81 x 5 x 11 x 49: 24 x 34 x 72 x 5 x 11

HCF of all three is common of three As we have 22, 5, y(as the third number is given two numbers extra than in first ,assume second number will one number extra than the first)

 y can be multiples of 3 ,either 9 or 27 as the highest power of 3 among the two numbers is 33

If y = 9 then HCF = 22 X 5 X 32 = 180

If Y = 27 then HCF = 22 X 33 X 5 = 540

So ,as 540 is not given as option here the answer will be 180