11. The test of optimality in simplex method is ______________.

1. Zj-Cj >0.
2. Zj-Cj <0.
3. Zj-Cj =0.
4. Zj-Cj<0.

Zj-Cj >0.

12. The critical path satisfy the condition that ______________

1. Ej=Lj and Ej=Lj.
2. Lj-Ej= Lj- Lj.
3. Lj-Ej= Lj- Lj=d(constant).
4. All the above.

Ej=Lj and Ej=Lj.

13. If A, B are two matrices and K is a scalar then ______________.

1. K(A+B) ≠KA+KB
2. K(A+B)=KA+KB.
3. K(A+B)<KA+KB.
4. K(A+B)>KA+KB.
K(A+B)=KA+KB.

14. If A,B and C are matrices the associative property is ______________.

1. (AB)C<A(BC).
2. (AB)C>A(BC).
3. (AB)C≠A(BC).
4. (AB)C=A(BC).

(AB)C=A(BC).

15. If any two rows and columns of a determinant are identical, the value of the determinant is ______________.

1. 1.
2. 0.
3. -1.
4. Unaltered.
0.

16. Inverse of a matrix exists if and only if ______________.

1. determinant value exists.
2. determinant value is zero.
3. determinant value is one.
4. determinant value is negative.
determinant value exists.

17. I stands for ______________

1. Simple Interest
2. Compound Interest
3. Rate of interest
4. No.of.years.
Simple Interest

18. Simple interest will be the income for ______________.

1. lender.
2. borrower.
3. both.
4. neither lender nor borrower.
lender.

19. 51-46+3(5) = ______________

1. 40
2. 20
3. 41
4. 52