The information regarding the marks obtained by five students - Amit, Bala, Chhavi, Dhruv and Eva - in six subjects - Math, English, Science, Hindi, History and Geography - are given below. The maximum marks for Math and Science are 150 whereas for the remaining four subjects the maximum marks are 100. The total marks obtained by Amit, Bala, Chhavi and Dhruv in all the six subjects was 607, 587, 648 and 595 respectively.Amit, Chhavi and Eva obtained 125, 145 and 120 marks in Math. Chhavi's marks in Science were 1 less than her marks in Math. In History, the marks obtained by Bala and Eva are 90 and 70. Dhruv obtained 93, 80 and 70 marks in English, Hindi and History respectively. Amit and Bala obtained 85 and 82 marks in Geography whereas they obtained 98 and 90 marks in English respectively. Bala obtained 5 marks less in Hindi than in English.Q 114. If the average marks of these five students in English is 94 and Chhavi gets one more mark than Eva, then what is the difference between the marks of Amit and Eva in English?a) 5b) 8c) 4d) 6
Question
The information regarding the marks obtained by five students - Amit, Bala, Chhavi, Dhruv and Eva - in six subjects - Math, English, Science, Hindi, History and Geography - are given below. The maximum marks for Math and Science are 150 whereas for the remaining four subjects the maximum marks are 100. The total marks obtained by Amit, Bala, Chhavi and Dhruv in all the six subjects was 607, 587, 648 and 595 respectively.Amit, Chhavi and Eva obtained 125, 145 and 120 marks in Math. Chhavi's marks in Science were 1 less than her marks in Math. In History, the marks obtained by Bala and Eva are 90 and 70. Dhruv obtained 93, 80 and 70 marks in English, Hindi and History respectively. Amit and Bala obtained 85 and 82 marks in Geography whereas they obtained 98 and 90 marks in English respectively. Bala obtained 5 marks less in Hindi than in English.Q 114. If the average marks of these five students in English is 94 and Chhavi gets one more mark than Eva, then what is the difference between the marks of Amit and Eva in English?a) 5b) 8c) 4d) 6
Solution
The total marks obtained by all five students in English is 94*5 = 470. We know that Amit got 98, Dhruv got 93, and Bala got 90 in English. So, the total marks of Amit, Dhruv, and Bala in English is 98+93+90 = 281.
Therefore, the total marks of Chhavi and Eva in English is 470 - 281 = 189.
Given that Chhavi gets one more mark than Eva, let's assume Eva got 'x' marks. Then Chhavi got 'x+1' marks.
So, x + (x+1) = 189. Solving this equation, we get x = 94. Therefore, Eva got 94 marks and Chhavi got 95 marks in English.
The difference between the marks of Amit and Eva in English is 98 - 94 = 4.
So, the answer is c) 4.
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