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Earn 100

The average score of a cricketer in a certain number of innings is 44. He then played another eight innings in which he got out at 97, 3, 23, 0, 68, 40, 50, and 71 runs, respectively. Then, which of the following statements is true regarding his new average score in all the innings together?

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Important Questions on Arithmetic

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Average age of A, B, and C is 84 years, however, when D joins them, then the average comes down to 80. Now, a new person E whose age is 3 years more than D replaces A and the new average is 79 years. What is the age of A ?
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If the average of m numbers is a, and on adding x to the m numbers, the average of the (1+m) numbers is b, then find the value of x.
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Brian Lara, the famous batsman, scored 6000 runs in certain number of innings. In the next five innings he was out of form and hence, could make only a total of 90 runs, as a result of which his average fell by 2 runs. How many innings did he play in all, if he gets out in all the innings?
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The average weight of A, B, and C is x kg. A and C lose y kg each after dieting and B gains y2 kg. After this their average weight decreases by 1 kg. Find y.
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One out of five weights A, B, C, D and E is of different weight. A person makes a measurement and finds the following:

A+B=C+D+E
Which of the following you should know to find out which one is of different weight?

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In a class with a certain number of students, if one student weighing 50 kg is added, then the average weight of the class increases by 1 kg. If one more student weighing 50 kg is added, then the average weight of the class increases by 1.5 kg over the original average. What is the original average weight of the class?
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The average weight of the books carried by Kuku to school is 1.5 kg and 2.5 kg is the average weight of the exercise books. If Kuku is carrying only text books and exercise books in the ratio of 3 : 4, what is the total weight of his school bag? (Ignore any other weights such as that of school bag, stationary, etc.)
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The average of n numbers is 32. If 34 of the numbers are increased by 4 each and the remaining are decreased by 6 each, then what is the new average?