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Stmt1: 6000<k<500,000 Take n=3 k=5100 but it is not in the interval 6000<k<500,000 Take n=4 k=51000 it is in the interval 6000<k<500,000..Hold on to n=4 Take n=5 k=510,000 again it is not in the interval 6000<k<500,000. Hence n=4 Sufficient
Stmt2: k^2= 2.601 x 10^9. Substitute k=5.1 x 10^n in above eqn (5.1*10^n)^2=2.601*10^9 10^2n=2.601*10^9 / 5.1^2 10^2n=10^9/10 10^2n=10^8 2n=8 n=4 k=5.1*10^4 k=51000 Sufficient.
My dad once said to me: Son, nothing succeeds like success.
Actually , i missed the given fact that k is +ve and considered the -ve value as well for the second statement. But the Q stem itself says that k=5.1 x 10^n.
Yes, for most DS questions, before you move on to the statements, break down the question stem and analyze it properly. It should be very clear in your head what data the stem has given you and what has it asked you.