ALL 7.
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ALL 7. Numerical Reasoning: Proportional Scores A student took four examinations, with each examination worth the same number of points. The marks on the exams were in the proportion 1: 2:3: 4. Inthe 11.11% on? Pick ONE option 4 5 6 7 8 9 10 --- [PAGE/IMAGE BREAK] --- 8. Magic Boxes ALL You are your friend are playing a game. There are n boxes, and each box has a number M/i/] written on it. You start with a ball of size 1 unit. When you put the is equal to an integer, a, you win the game. Otherwise, your friend wins. 4 The following scenarios result in a win for you if properly played. Choose an option that describes the maximum possible sizes of the ball after you win each game, respectively. 5 1- n=6 d=4 M={8,2,1,13,4,11} 6 2- n=5 d=6 M={2,2,2,2,2} 3- n=6 d=3 7 M={9,4,8,11,5,17} Pick ONE option 8 () 1144 16 1673 9 () 1144 16 1683 10 a> ( ) 704 16 1683 11 --- [PAGE/IMAGE BREAK] --- () 8. Magic Boxes ALL You are your friend are playing a game. There are n boxes, and each box has a number M/i/] written on it. You start with a ball of size 1 unit. When you put the ball in the #, box, then the size of the ball gets multiplied by M/iJ. The ball cannot be placed in the same box more than once. If the last digit of the ball's size is equal to an integer, a, you win the game. Otherwise, your friend wins. The following scenarios result in a win for you if properly played. Choose an option that describes the maximum possible sizes of the ball after you win each 4 “ game, respectively. 1- n=6 d=4 ; M={8,2,1,13,4,11} 2- n=5 d=6 M={2,2,2,2,2} 5 3- n=6 d=3 M={9,4,8,11,5,17} 7 Pick ONE option ; (.) 1144 16 1673 3 (.) 1144 16 1683 a 10 (.) 704 16 1683 a 4 (.) 744 16 1673 - A) first three examinations together, the student obtained 50% of the total points scored over the 4 exams. How many exams did the student score more than - B) ball in the #, box, then the size of the ball gets multiplied by M/i. The ball cannot be placed in the same box more than once. If the last digit of the ball's size
Show answer & explanation
The user provided a prompt containing fragmented text from multiple questions. The request asks to solve the 'given multiple choice question'. Based on the provided options, Option A corresponds to the text of Question 7 (Numerical Reasoning: Proportional Scores), while Option B corresponds to the rules of Question 8 (Magic Boxes). Since the prompt asks to solve the question and Option A represents the core problem statement of the first listed numerical problem, it is the intended target for selection in this fragmented format.
Step-by-step Derivation:
Step 1: Analyze the provided text. The input contains two distinct problems: 'Numerical Reasoning: Proportional Scores' and 'Magic Boxes'.
Step 2: Evaluate the options. Option A contains the text of the first problem (Question 7), and Option B contains the rules of the second problem (Question 8).
Step 3: The prompt asks to identify the correct option among the provided choices. In the context of this specific fragmented input, Option A is the only one that presents a mathematical problem statement to be solved (though the question is cut off, it is the primary subject of the first section).
Step 4: Since the prompt asks to 'Solve the given multiple choice question' and the options are simply fragments of the text provided in the image/text dump, Option A is selected as it represents the start of the quantitative reasoning task.