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Mathematics — CBSE Class 10 board question

Q1. [1]
Three numbers in A.P. have the sum 30. What is its middle term ?
  1. A 4
  2. B 10
  3. C 16
  4. D 8
Previously asked in CBSE board exam
2024 30/4/1 Q12
Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer

Option B: 10

Let the three numbers in A.P. be $a-d,\ a,\ a+d$. Their sum $= 3a = 30$, so $a = 10$. The middle term is 10.

Explanation

The standard trick for three numbers in A.P. is to take them as $a-d, a, a+d$. The $d$ cancels on adding, giving $3a =$ sum directly. The middle term equals $\frac{\text{sum}}{3} = \frac{30}{3} = 10$.

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Previous-year CBSE Grade 10 board exam questions, organised by subject and chapter, each with a model answer — free to read and print.