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Twenty five sets of problems on Data Interpretation one each for the DI sections of 25 CATALYST tests were prepared by the AMS research team. The DI section of each CATALYST contained 50 questions of which exactly 35 questions were unique, i.e. they had not been used in the DI section of any of the other 24 CATALYSTs. What could be the maximum possible number of questions prepared for the DI sections of all the 25 CATALYSTs. What could be the maximum possible number of questions prepared for the DI sections of all the 25 CATALYSTs put together?

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Important Questions on Number Systems

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Twenty five sets of problems on Data Interpretation one each for the DI sections of 25 CATALYST tests were prepared by the AMS research team. The DI section of each CATALYST contained 50 questions of which exactly 35 questions were unique, i.e. they had not been used in the DI section of any of the other 24 CATALYSTS. What could be the maximum possible number of questions prepared for the DI sections of all the 25 CATALYSTS put together?

In the above question, what could be the minimum possible number of questions prepared?

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In a cricket tournament organised by the ICC, a total of 15 teams participated. Australia, as usual won the tournament by scoring the maximum number of points. The tournament is organised as a single round robin tournament - where each team plays with every other team exactly once. 3 points are awarded for a win, 2 points are awarded for a tie/washed out match and 1 point is awarded for a loss. Zimbabwe had the lowest score (in terms of points) at the end of the tournament. Zimbabwe scored a total of 21 points. All the 15 national teams got a distinct score (in terms of points scored). It is also known that at least one match played by the Australian team was tied/washed out. Which of the following is always true for the Australian team? 
 
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What is the remainder when 1281000 is divided by 153?
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Find the remainder when 505152 is divided by 11.
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Find the remainder when 323334 is divided by 11.
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Find the remainder when 307287 is divided by 11.
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Find the remainder when 505652 is divided by 11.
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Find the remainder when 333435 is divided by 7.