Question

18. In 10th standard teacher arranged a surprised test for students.
In round-I : Ajay got 8 marks for correct answers and 4 marks for
incorrect answers and scored 20 marks.
In round-II : Ajay got 5 marks for correct answers and 1 mark for
incorrect answer and again he scored 20 marks.
An another student Neeta observed these two situations and denote
number of correct answer by x and incorrect answers by y.
Based on the above information answer the following questions.

(i) Represent situation given in round-I algebraically.
(a) 2x + y = 5
(b) 2x - y = 5
(c) 8x + 2y = 20
(ii) Represent situation given in round-II algebraically.
(a) 5x - y = 20 (b) 5x + y = 20
(c) x + 5y = 20

(iii) Number of questions, that answered correctly in each round is
(a) 2
(b) 3
(C) 5
(d) 6

(iv) Number of questions that answered incorrectly in each round is
(a) 5
(b) 10
(c) 15
(d)20

(v) Total number of questions asked in both rounds, is
(a) 5
(b) 10
(c) 15
(d) 20

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Answer 1

Answer:

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Answer 2

In 10th standard teacher arranged a surprised test for students.

In round-I : Ajay got 8 marks for correct answers and 4 marks for

incorrect answers and scored 20 marks.

In round-II : Ajay got 5 marks for correct answers and 1 mark for

incorrect answer and again he scored 20 marks.

An another student Neeta observed these two situations and denote

number of correct answer by x and incorrect answers by y.

Based on the above information answer the following questions.

Step-by-step explanation:

Solution 7)

(i) Mohan get 4 correct answer = 4\times5\ =20\4×5 =20 

He gets 6 incorrect answer = 6\times\left(-2\ \right)=\ -126×(−2 )= −12

Total score = 20-12\ =\ 8\20−12 = 8 

Thus, mohan get 8 marks in the class test.

(ii) For 5 correct answer = 5\times5\ =\ 255×5 = 25

For 5 incorrect answer = 5\times\left(-2\right)=\ -105×(−2)= −10

Total score = 25-10\ =\ 1525−10 = 15

(iii) Heena get 2 correct answer = 5\times2=\ 105×2= 10

Heena get 5 incorrect = 5\times\left(-2\right)\ =\ -105×(−2) = −10

Total score = 10\ -10\ =\ 010 −10 = 0

Thus, total score of heena is zero.