NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Multiple Choice Questions
Question 11

Question.  11

In algebra, letters may stand for

(A)

known quantities

(B)

unknown quantities

(C)

fixed numbers

(D)

none of these

Detailed Answer with Explanation:

  1. In algebra we often use letters like \(x\), \(y\) or \(a\).

  2. These letters act like placeholders for numbers we don’t know yet.

  3. Example: \(x + 5 = 12\)

  4. Here, \(x\) is the number we are trying to find (an unknown).

  5. We can figure it out step by step:

    \(x + 5 = 12\)

    \(x = 12 - 5\)

    \(x = 7\)

  6. So, letters in algebra usually stand for unknown quantities. That matches option B.

Why the other options are not the best here:

  • A. known quantities: If a number is already known, we can just write the number itself. We don’t need a letter for it in basic problems.

  • C. fixed numbers: Sometimes a letter can represent a fixed number (for example, \(\pi\)), but in school algebra questions like this, letters mainly show unknowns we need to find.

  • D. none of these: Not correct, because option B fits well.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – Multiple Choice Questions | Detailed Answers