Arithmetic in Algebra MCQs

By: Prof. Dr. Fazal Rehman | Last updated: January 31, 2025

\[ \textbf{MCQs on Arithmetic in Algebra with Answers} \] \[ \textbf{Q1: What is the sum of the first 15 positive integers?} \] \[ \text{(A) } 105 \quad \text{(B) } 120 \quad \text{(C) } 115 \quad \text{(D) } 110 \] \[ \textbf{Answer: (A) } 105 \] \[ \textbf{Q2: What is the value of the arithmetic mean of the numbers 2, 5, 8, 11, and 14?} \] \[ \text{(A) } 7 \quad \text{(B) } 6 \quad \text{(C) } 8 \quad \text{(D) } 9 \] \[ \textbf{Answer: (A) } 7 \] \[ \textbf{Q3: In an arithmetic sequence, the first term is 4 and the common difference is 3. What is the 10th term of the sequence?} \] \[ \text{(A) } 30 \quad \text{(B) } 32 \quad \text{(C) } 28 \quad \text{(D) } 36 \] \[ \textbf{Answer: (B) } 32 \] \[ \textbf{Q4: What is the sum of the first 20 terms of the arithmetic sequence 1, 3, 5, 7, \dots?} \] \[ \text{(A) } 200 \quad \text{(B) } 210 \quad \text{(C) } 220 \quad \text{(D) } 240 \] \[ \textbf{Answer: (B) } 210 \] \[ \textbf{Q5: The sum of the first 10 terms of an arithmetic sequence is 180. If the first term is 12, what is the common difference?} \] \[ \text{(A) } 3 \quad \text{(B) } 4 \quad \text{(C) } 5 \quad \text{(D) } 6 \] \[ \textbf{Answer: (B) } 4 \] \[ \textbf{Q6: In an arithmetic progression, the first term is 5 and the 6th term is 20. What is the common difference?} \] \[ \text{(A) } 3 \quad \text{(B) } 2.5 \quad \text{(C) } 2 \quad \text{(D) } 1 \] \[ \textbf{Answer: (C) } 2 \] \[ \textbf{Q7: The 5th term of an arithmetic sequence is 25, and the 10th term is 40. What is the common difference?} \] \[ \text{(A) } 3 \quad \text{(B) } 2 \quad \text{(C) } 5 \quad \text{(D) } 4 \] \[ \textbf{Answer: (D) } 4 \] \[ \textbf{Q8: What is the sum of the first 30 terms of the arithmetic sequence: 2, 5, 8, 11, \dots?} \] \[ \text{(A) } 1350 \quad \text{(B) } 1400 \quad \text{(C) } 1450 \quad \text{(D) } 1500 \] \[ \textbf{Answer: (A) } 1350 \] \[ \textbf{Q9: If the sum of the first 12 terms of an arithmetic sequence is 600 and the first term is 15, what is the common difference?} \] \[ \text{(A) } 7 \quad \text{(B) } 5 \quad \text{(C) } 6 \quad \text{(D) } 4 \] \[ \textbf{Answer: (C) } 6 \] \[ \textbf{Q10: What is the 8th term of the arithmetic sequence: -2, 1, 4, 7, \dots?} \] \[ \text{(A) } 19 \quad \text{(B) } 18 \quad \text{(C) } 16 \quad \text{(D) } 17 \] \[ \textbf{Answer: (A) } 19 \]

More MCQs on Algebra (Collected from Past Papers)

1. Elementary Algebra – MCQs
2. Algebraic Expressions – MCQs
3. Algebraic Identities – MCQs
4. Commutative Algebra – MCQs
5. Linear Equations – MCQs
6. Graphing Linear Equations – MCQs
7. Inequalities in Algebra – MCQs
8. Absolute Value Inequalities – MCQs
9. Exponent – MCQs
10. Exponential Functions – MCQs
11. Logarithms – MCQs
12. Polynomials – MCQs
13. Factoring Methods – MCQs
14. Polynomial Arithmetic – MCQs
15. Quadratic Equation – MCQs
16. Linear Algebra – MCQs
17. Matrices in Algebra – MCQs
18. Functions in Algebra – MCQs
19. Sequences in Algebra – MCQs
20. Arithmetic in Algebra – MCQs
21. Combining Like Terms in Algebra – MCQs
22. Abstract Algebra – MCQs
23. Sets in Algebra – MCQs
24. Algebra Calculator – MCQs