a) 35

b) 30

c) 21

d) 15

correct answer is:

d) 15

Explanation

Here,
Given numbers are 137, 182 & 422.
To find the greatest no we need to subtract 2 from every number.
So that,
The number should be :
\rightarrow\left(137-2\right)=135
\rightarrow\left(182-2\right)=180
\rightarrow\left(422-2\right)=420
Now, the H.C.F of 135,180 & 420 is =3\times 5=15
\therefore The greatest no. is 15 which will Divide the numbers 137, 182, 422 leaving a remainder of 2 in each case
Ans: 15.