So the question is slightly tricky with the use of word ‘that exists’ meaning pipeline may or may not even be till 210 kms
Let the total length be L
GIVEN ;
first 60 km is inspected
Next 2/3 * (L-60) is inspected
If pipeline is more than or equal to 210 then 60+150*2/3=160 km is inspected
Statement 1: total inspected length given is 160 km
So if L=210 we get inspected length as 160km
However if L> 210km then also we get 160km. —-
insufficientStatement 2:
It says the length of pipeline inspected was at least 16/21 L
Let’s say if L is 60<L<=210
Equation becomes 60+(L-60) *2/3 >= 16/21 L
Solving this we get L<= 210 but no exact value of L
Which satisfy the equation
Now if L >210
16/21 L <= 160
L<= 210 but we took L >210 so this doesn’t satisfy our condition so No Solution ——
insufficient Together
From statement 1: L>=210
From statement 2: L = 60<L<=210
So L=210km ——
sufficient Ans C