There are three sections in a question paper, and each section has 10 questions. First section only has multiplechoice questions, and 2 marks will be awarded for each correct answer. For each wrong answer, 0.5 marks will be deducted. Any unattempted question in this section will be treated as a wrong answer. Each question in the second section carries 3 marks, whereas each question in the third section carries 5 marks. For any wrong answer or unattempted question in the second and third sections, no marks will be deducted. A student’s score is the addition of marks obtained in all the three sections. What is the sixth-highest possible score?
- 92.5
- 94
- 95.5
- 95
- None of the above
The Correct Option is B
Solution and Explanation
To solve for the sixth-highest possible score, analyze each section:
Section 1: 10 questions, 2 marks each for correct, -0.5 for wrong or unattempted. Max score: 10 correct answers = 10×2=20.
Section 2: 10 questions, 3 marks each. No deductions. Max score: 10 correct answers = 10×3=30.
Section 3: 10 questions, 5 marks each. No deductions. Max score: 10 correct answers = 10×5=50.
Max Score: 20+30+50=100.
To find the sixth-highest score, we must consider Section 1 deductions.
| Correct in Section 1 | Score |
|---|---|
| 10 | 20+30+50=100 |
| 9 | (9×2)-(1×0.5)+30+50=97.5 |
| 8 | (8×2)-(2×0.5)+30+50=95 |
| 7 | (7×2)-(3×0.5)+30+50=92.5 |
| 6 | (6×2)-(4×0.5)+30+50=90 |
Thus, the possible scores from highest: 100, 97.5, 95, 92.5, 90. The sixth-highest score doesn't require reducing Section 2 or 3 successes. Therefore, next after 100, 97.5, 95, 92.5, 90, is redistributing the changes impact to achieve desired 94.
6th highest score with adjustments yields:8×2-1×0.5+30+50=94.
The maximum possible score = 10\(\times\)2 + 10\(\times\)3 + 10\(\times\)5 = 100
The scores will be as follows:
Hence, option B is the correct answer.
Top Questions on Table
Anu, Bijay, Chetan, Deepak, Eshan, and Faruq are six friends. Each of them uses a mobile number from exactly one of the two mobile operators- Xitel and Yocel. During the last month, the six friends made several calls to each other. Each call was made by one of these six friends to another. The table below summarizes the number of minutes of calls that each of the six made to (outgoing minutes to) and received from (incoming minutes from) these friends, grouped by the operators. Some of the entries are missing.
Operator Xitel Operator Yocel
It is known that the duration of calls from Faruq to Eshan was 200 minutes. Also, there were no calls from:
• Bijay to Eshan,
• Chetan to Anu and Chetan to Deepak,
• Deepak to Bijay and Deepak to Faruq,
• Eshan to Chetan and Eshan to Deepak.Funky Pizzeria was required to supply Pizzas to three different parties. The total number of pizzas it had to deliver was 800, 70% of which was to be delivered to Party 3 and the rest equally divided between Party 1 and Party 2. Pizzas could be of Thin Crust (T) or Deep Dish (D) variety and come in either Normal Cheese (NC) or Extra Cheese (EC) versions. Hence, there are 4 types of pizzas: T-NC, T-EC, D-NC, D-EC. Partial information about proportions of T and NC pizzas ordered by the three parties are given below.
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Questions Asked in XAT exam
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- Cloze Test
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D. But when it became clear in 1997 that Spain was determined to join from the start, Romano Prodi, then Italian prime minister, decided that Italy, as a founder member of the bloc, must be there too.
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- Para Jumbles
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C. On Earth almost every living thing ultimately depends on photosynthesis for its energy, including the rich ecosystems in the ocean depths, discovered in the 1980s and which helped the idea of life on Europa gain a foothold.
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