MTH102 — Basic Algebra & Trigonometry — Midterm Past Papers & Solved MCQs

Q1. Power set of empty set has exactly ___ subset

• A.1
• B.2✓ Correct
• C.3
• D.4

Q2. Matrices A and B are added if

• A.both are rectangular
• B.both have same order✓ Correct
• C.no. of columns of A is equal to columns of B
• D.no. of rows of A is equal to rows of B

Q3. An arrangement of finite numbers of objects taken some or all at a time is called their

• A.Permutation✓ Correct
• B.Combination
• C.Sequence
• D.Series

Q4. Which of the following matrix has an inverse?

• A.Singular matrix
• B.Non-singular matrix✓ Correct
• C.Zero matrix
• D.Identity matrix

Q5. All letters in a word LOVE taken all at a time can be arranged in

• A.4
• B.5
• C.6
• D.24✓ Correct

Q6. [a b c d] is a

• A.row matrix✓ Correct
• B.column matrix
• C.square matrix
• D.null matrix

Q7. Which of the following is the correct formula for finding the 4th term in a geometric sequence?

• A.a r^3✓ Correct
• B.a r^4
• C.a r^(n-1)
• D.a r^n

Q8. If a, r and a^n are the first, common ratio and the nth term respectively of the geometric sequence then a^n =

• A.a r^(n-1)✓ Correct
• B.a r^n
• C.a r
• D.a r^(n+1)

Q9. What is the cardinality of the set of odd positive integers less than 10?

• A.4
• B.5✓ Correct
• C.6
• D.9

Q10. A square matrix with ones on the diagonal and zeros elsewhere is called a/an ___ matrix

• A.Identity✓ Correct
• B.Diagonal
• C.Scalar
• D.Null

Q11. The reciprocal of the complex number i is

• A.-i✓ Correct
• B.i
• C.1
• D.-1

Q12. The multiplicative inverse of a matrix A is

• A.A^-1✓ Correct
• B.A^T
• C.adj A
• D.det A

Q13. How many different rearrangements are there of the letters in the word BUBBLE?

• A.120
• B.180✓ Correct
• C.720
• D.360