The characteristics of logarithm of the number 375.67 is

Choose the correct alternatives.

1. The characteristics of logarithm of the number 375.67 is i) 1    ii) 2   iii) 0   iv)3     Ans: b)2
2. In an LPP: i) only the objective function is linear. ii) only the constraints are linear. iii) the objective function as well as the constraints are linear. iv) none of the above. Ans:iii) the objective function as well as the constraints are linear.
3. If two rows or columns of a determinant are identical then the value of the determinant becomes    i)  0   ii) 1  iii) 2   iv) can't say.    Ans:  i) 0
4. log(a/b )+log(b/c)+log(c/a )=?     i) 1  ii) 0  iii) -1  iv)  2   Ans:ii) 0
5. If TC, MC,AC and x represent the total cost, marginal cost, average cost and output respectively, then which of the following are true?               i) d/dx(TC)=MC  ii) TC/x=AC  iii) ∫MC dx=TC  iv)  i), ii)  and iii)    Ans  iv)
6. If  α and β be the roots of the equation x(x-3)=4 then the value of α²+β² is i) 17   ii) 16   iii) 2   iv) 8   Ans: i) 17
7. The logarithm of 512 to the base 2√2 is : i) 3  ii) 4  iii) 5   iv) 6.     Ans:iv) 6
8. For what value of 'm' does the equation 2x²-4x+m have equal roots?  i) 3  ii) 2  iii) 1 iv) none of the above. Ans:ii) 2
9.