MathsCBSE Class 10 · Basic · Sample paper, session 2025-26 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2025-26: question 5

From the official CBSE sample question paper for 2025-26, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQArithmetic Progressions

The value of $x$ for which $2 x$ , $(x + 10)$ and $(3 x + 2)$ are the three consecutive terms of an AP is

(A)6
(B) $- 6$
(C) $- 2$
(D)2

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

Open one hint at a time and try again before the next.

Hint 1

In an AP the middle term is the average of its neighbours.

Hint 2

Use $2 b = a + c$ .

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

For three terms in AP, twice the middle term equals the sum of the other two: $2 (x + 10) = 2 x + 3 x + 2$ .
$2 x + 20 = 5 x + 2 \Rightarrow 3 x = 18 \Rightarrow x = 6$ , option (A).
1 mark

Answer: $x = 6$ , option (A)

Where the marks are

Uses $2 b = a + c$ and gets $x = 6$ (1 mark)

Revise the chapter

Chapter: Arithmetic Progressions (notes, formulas, where marks are lost and every past question)

Practise this chapterBoard-style questions from Arithmetic Progressions, one at a time, marked against the answer key and marking points.Back to the full paperSample paper 2025-26 (Basic): every question, by section.

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CBSE Class 10 Mathematics Basic sample paper 2025-26: question 5

Hints

Step-by-step solution

Revise the chapter

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