### Assistant Director FIA 2019 Batch 1

(21) . Imaginary Part of the multiplicative inverse of a number 6-5i is?

1. 5/61

2. 6/61

3. -5/61

4. None of these

(22) . If z - a is a factor of polynomial P(z), then P(a) is always?

1. z

2. 0

3. a

4. None of these

(23) . Solve: A = [aij] be n square matrix If a2i = 0 for all j 1, 2, 3, …, n, then the matrix A is?

1. Regular

2. Diagonal

3. Singular

4. None of these

(24) . The centroid of a Wangle LMN with vertices L(1,1,1), M(3, 3, 3), N(5, 5, 5) is the point?

1. (3,3,3)

2. (2,2,2)

3. (25, 2.5, 2.5)

4. None of these

(25) . The projection of a vector a= i+j+k on anther vector b= 3jk+3k is?

1. 2/√2

2. 1/√2

3. 3/√2

4. None of these

(26) . The work done by a force F = i+j+k in moving an object from a point p(1,1,1) to the point Q(1,2,2) is?

1. 1

2. 2

3. 0

4. None of these

(27) . The moment about a point p(0, 0, 0) of the force F = 21-i-k applied at Q(1, 1,1) is?

1. 3i-3j

2. 3j+3j

3. 3j-3k

4. None of these

(28) . The population of a city increases by 700 each year If the population grows to 25000 in five years. its initial populations was?

1. 21000

2. 21500

3. 22000

4. None of these

(29) . The sum of the first seventy positive odd integers is?

1. 4910

2. 4920

3. 4900

4. None of these

(30) . The sum of the first seventy positive even integers is?

1. 4960

2. 4970

3. 4980

4. None of these