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In this quiz a correct answer gets +3 and a wrong answer gets −1. Meera answered all 20 questions and scored 32. How many of her answers were wrong?

Class 7Integers (Extended)Integers
  • A13
  • B12
  • C4
  • D7

Step-by-Step Solution

If all 20 were correct she would score 60. Each wrong answer changes into , a loss of 4. wrong (and 13 correct: ).
Answer: D) 7

Key idea: Multiplying integers — same sign vs different sign

**Same sign → positive.**
(both positive)
(both negative — still positive)

**Different signs → negative.**
3 × (−4) = −12
(−3) × 4 = −12

**Why two negatives become positive:** think of −3 as 'the opposite of 3'. So = 'the opposite of ' = the opposite of −12 = +12. The double-negative cancels.

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