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In a quiz each correct answer scores marks and each wrong answer scores mark. Rekha gets 8 questions right and 6 wrong. What is her total score?

Class 7Rational NumbersRational Numbers
  • A15
  • B12
  • C
  • D9

Step-by-Step Solution

Correct: marks. Wrong: marks. Total = . Adding the penalty instead of subtracting gives 15, ignoring the wrong answers gives 12, and deducting only once (instead of six times) gives .
Answer: D) 9

Key idea: Operations on rationals

**Addition / subtraction**: same denominator → add/subtract numerators. Different denominator → bring to common denominator first.

**Multiplication**: (p/q) × (r/s) = (p×r)/(q×s). Sign rule from integers applies (same → +, different → −).

**Division**: multiply by the reciprocal. (p/q) ÷ (r/s) = (p/q) × (s/r), provided r ≠ 0.

Nothing new compared to fractions — just keep track of signs.

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