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PART - 2 CH : 2 Operations with Integers — MATHS STD 7 — Question

Gujarat BoardEnglish MediumSTD 7MATHSPART - 2 CH : 2 Operations with Integers3 Marks
Question
In a test, (+4) marks are given for every correct answer and (-2) marks are given for every incorrect answer:
Anita answered all the questions in the test. She scored 40 marks even though 15 of her answers were correct. How many of her answers were incorrect? How many questions are in the test?
✓

Answer

Anita had 15 correct answers, and each correct answer is worth +4 marks.
Marks from correct answers = 15 × 4 = 60
∴ Anita total score = 40
Marks lost = 60 – 40 = 20
Each incorrect answer is worth -2 marks
∴ No. of incorrect answers $=\frac{20}{2}=10$
Anita had 10 incorrect answers.
Total no. of questions = sum of correct and incorrect answers
= 15 + 10
= 25
Hence, Anita had 10 incorrect answers out of 25 questions on the test.

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