MTH100 MCQs

A. 3 B. 9 C. 12 D. 6

Q2. Two matrices A and B are multiplied to get BA if

1. both are rectangular
2. both have same order
3. number of rows of A is equal to number of columns of B
4. number of columns of A is equal to number of columns of B

Correct answer: number of columns of A is equal to number of columns of B

Q3. For a geometric sequence, if 2nd term is equal to 4th term then value of common ratio is

1. 1 only
2. +1 or -1
3. 0
4. -1 only
5. Leave the determinant unchanged.
6. Double the determinant.
7. Square the determinant.
8. Change the sign of the determinant.

Q5. Cramer`s rule is not suitable for which type of problems?

1. Systems with 3 unknowns
2. Large systems
3. Systems with two unknowns
4. Small systems with 4 unknowns
5. 2
6. 4
7. 1
8. 5

Correct answer: Large systems

Q7. What is the 31st term of the arithmetic sequence: 1, 4, 7, 10, …?

1. 90
2. 93C. 91
3. 92

Q8. {\rm{The Cofactor of}}\,\,\,\,a_{ij} = \,\, - - - - .\,\,\,\,(Minor\,\,a_{ij} )

1. ( { - 1} )^{i + j}
2. None\,\,of\,\,these
3. ( { - 1} )^{i j} \,
4. ( { - 1} )^{i - j} \,

Correct answer: ( { - 1} )^{i + j}

Q9. What is the next term in the sequence 1, 2, 4, 8, 16, __________ ?

1. 36
2. 32
3. 30
4. 24

Q10. If the first term=a=1, common ratio=r=1/2; then which term of geometric sequence is 1/4?

1. 4
2. 6
3. 3
4. 5

Q1. {\rm{The Cofactor of}}\,\,\,\,a_{ij} = \,\, - - - - .\,\,\,\,(Minor\,\,a_{ij} )

1. ( { - 1} )^{i + j}
2. ( { - 1} )^{i j} \,
3. None\,\,of\,\,these
4. ( { - 1} )^{i - j} \,

Correct answer: ( { - 1} )^{i + j}

Q2. What is the next term in the sequence 1, 4, 9, 16, 25, _________ ?

1. 40
2. 35C. 36
3. 30

Q3. The explicit formula when a1 = 6 and d = 2 is _________.

1. an = 6 + 2(n – 1)
2. an = 6 + 2(n + 1)
3. an = 6 - 2(n – 1)D. an = 6 + 2n

Correct answer: an = 6 + 2(n – 1)

Q4. What is the term after the next term in the sequence 5, 10, 15, 20, _________?

1. 25
2. 35
3. 40
4. 30

Q5. A Square matrix with ones on the diagonal and zeros elsewhere is called a/an ........... matrix

1. identity
2. diagonal
3. Null
4. scalar

Correct answer: identity

Q6. Given a square matrix A, if there exists a matrix B such that AB = BA = I, then A is called the ………….. of B

1. Additive inverse
2. Multiplicative inverse
3. Transpose
4. Adjoint

Correct answer: Multiplicative inverse

Q7. The first term of the sequence whose A. 4

“nth term = 2n; n>2 “ is-----.

B. 6

C. 1 D. 2