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linear-equations-one-two-variables-l2 MCQ — 10 अभ्यास प्रश्न उत्तर सहित

10 linear-equations-one-two-variables-l2 बहुविकल्पीय प्रश्नों का अभ्यास करें, विस्तृत उत्तर और व्याख्या सहित। RAS/RPSC परीक्षा की तैयारी के लिए आदर्श।

10 प्रश्न mathematics-science-reet

Practice Questions

Q1. Assertion: A teacher first uses a balance model for x + 4 = 16. Reason: Doing the same operation on both sides preserves equality.

A Both assertion and reason are true, and the reason explains the assertion. Correct
B Both are true, but the reason does not explain the assertion.
C The assertion is true, but the reason is false.
D The assertion is false, but the reason is true.

Explanation

The balance model is not decoration. It lets Imran see why subtracting 4 from both sides is legitimate, so the reason directly explains the teaching choice in the assertion.

Q2. Which set lists only common linear-equation MCQ traps described in the study note?

A Photosynthesis, friction, shadow formation
B Rhyme, metre, alliteration
C Matrix rank, determinant zero, eigenvalue
D Sign error, one-side operation, missing answer check Correct

Explanation

REET pedagogy items often ask the candidate to diagnose the error, not merely solve again. Sign errors, one-side operations and missing checks are exactly the traps a teacher should notice in Mary or Imran's work.

Q3. Mary solves 3x - 4 = 11. Which option is the best checking line for her answer x = 5?

A 3 + 5 - 4 = 4
B 5 - 4 = 1
C 3 times 5 - 4 = 11 Correct
D 3 times 11 - 4 = 29

Explanation

The checking line must use the original equation and the proposed value. Mary should replace x by 5, compute 15 - 4, and see that the result equals 11.

Q4. Match the classroom situation with the most suitable equation. List I: (1) Devika's rectangle has width 5 cm and perimeter 34 cm. (2) Asha has 5 more marbles than Imran and together they have 31. List II: (a) 2l + 10 = 34 (b) x + x + 5 = 31.

A 1-b, 2-a
B 1-a, 2-b Correct
C 1-a, 2-a
D 1-b, 2-b

Explanation

Devika's rectangle has perimeter 2l plus 10 because two widths of 5 cm make 10 cm. Asha and Imran's marbles use x and x + 5, so together they become x + x + 5.

Q5. Which option best matches the verified RBSE syllabus boundary for this REET topic?

A Simple linear equation Correct
B Quadratic equations with roots
C Matrix solution of simultaneous equations
D Trigonometric identities

Explanation

The official syllabus excerpt is narrow: "Equations : Simple linear equation." Therefore the safe REET preparation core is one-variable simple linear equations, with only a modest bridge to two-variable relations when classroom meaning requires it.

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Q6. Which source-framing is most honest for this note?

A Call every old NCERT chapter title current without checking.
B Ignore NCERT completely because RBSE has one short line.
C Replace the syllabus with a Class 10 algebra chapter.
D Use older Class 8 linear-equation PDF as verified historical revision support and state the Ganita Prakash transition honestly.
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Q7. Asha solves 2x + 5 = 17 and writes x = 12. What should the teacher diagnose first?

A She cannot add whole numbers.
B She subtracted 5 but forgot to divide by 2.
C She used two variables instead of one.
D She should immediately memorise the answer.
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Q8. Which statement best frames x + y = 10 for this REET topic?

A It has no possible solution pair.
B It describes several possible ordered pairs unless another condition is added.
C It always gives exactly one value of x.
D It must be solved by a matrix method in Class 8.
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Q9. Which statement is correct about a linear equation at upper-primary level?

A The variable has highest power 1.
B It has no equality sign.
C It must always have two variables.
D Its solution is never checked by substitution.
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Q10. In a fraction equation, why should a teacher say "multiply the whole of both sides by the common denominator"?

A Because only the first term needs to change.
B Because denominators disappear without any operation.
C Because it preserves equality while removing fractions from every term.
D Because checking the final answer becomes unnecessary.

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Frequently Asked Questions

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