A student attempts x number of questions. He answers 15 correctly out of first 20 questions and of the remaining questions, he answers 1/3 correctly. If all questions have same credit and the student gets 50% marks, then find the value of x?
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In an examination of n questions, a student replied 15 out of the first 20 questions correctly. Of the remaining questions, he answered one-third correctly. All the questions have the same credit. If the student gets 50% marks, the value of n is
Medium
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Correct option is
C
50
⇒ Student attempts n questions.
⇒ Out of 20 question he answers 15 correctly and of (n−20) questions he answered
3
1
correctly.
⇒ The student gets 50% marks.
∴ 15+
3
1
(n−20)=50% of n
⇒ 15+
3
1
(n−20)=
100
50
×n
⇒ 15+
3
1
(n−20)=
2
n
⇒ 90+2(n−20)=3n
⇒ 90+2n−40=3n
∴ n=50
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Answer:
x = 29. plz mark me genius
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plz mark me genius plz
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