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Q.19) Ravi took a test which has 50 questions. The total grade was computed by awarding 10 points for each
correct answer and deducted 5 points for each incorrect answer. He answered all 50 question and received a
score of 350. How many wrong answer did he attempt.
रवी ने एक परीक्षा दी जिसमें 50 प्रश्न थे। सही उत्तर पर 10 अंक मिलते है, तथा गलत उत्तर पर 5 अंक काट लिए जाते है इस प्रकार परिणाम
तैयार किया गया। रवी को सभी 50 प्रश्न हल करने पर 350 अंक मिले। उसने कितने उत्तर गलत कितो?
Answers
Step-by-step explanation:
x= Correct answers
y= wrong answers
x + y = 50 (because total questions are 50)
10x - 5y = 350 (Each correct answer awarded 10 points minus 5 points deducted for each wrong answer)
Solving by Elimination method:
10x + 10y = 500
10x - 5y = 350
Therefore 15y= 150
y=10
So he gave 10 wrong answers and 40 correct answers
Answer:
The number of wrong answers he attempted is 10.
Step-by-step explanation:
let x be correct answers
let y be wrong answers
therefore,
10x - 5y=350 --(1)
x + y =50 ----(2)
------------------------
(1) --- 10x - 5y = 350
(2) x 10 --- 10x + 10y=500
(-) (-) (-)
---------------------------------------
-15y=-150
15y=150
y=150/15
y=10
Therefore, The number of wrong answers he attempted is 10.