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