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Earn 100

In the famous Bel Air Apartments in Ranchi, there are three watchmen meant to protect the precious fruits in the campus. However, one day a thief got in without being noticed and stole some precious mangoes. On the way out however, he was confronted by the three watchmen. The first watchman asked the thief to part with 13rd of the mangoes and 1 more. The second watchman also asked the thief to part with 13rd of the remaining mangoes and 1 more. The third watchman asked the thief to part with 15th of the mangoes and 4 more. As a result, the thief had no mangoes left. What was the number of mangoes he had stolen?

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Important Questions on Number Systems

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A 120-digit number is formed by writing the first "x" natural numbers in front of each other as 12345678910111213..., and so on. Find the remainder when this number is divided by 8.
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A test has 80 questions. 1 mark is awarded for a correct answer, while there is a negative penalty of -12 for a wrong answer, and a negative penalty of -14 for an unattempted question. What is the number of questions answered correctly, if a student has scored a net total of 34.5 marks?
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A test has 80 questions. 1 mark is awarded for a correct answer, while there is a negative penalty of -12 for a wrong answer, and a negative penalty of -14 for an unattempted question. If it is known that a student has left 10 questions unanswered, and the student has scored a net total of 34.5 marks, then the number of correct answers is _____.
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Three mangoes, four guavas, and five watermelons cost  750. Ten watermelons, six mangoes, and nine guavas cost  1580. What is the cost of six mangoes, ten watermelons, and four guavas?
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From a positive integer "M", subtract 1. Take the reciprocal of the result to get the value of "N". Then, which of the following is necessarily true?
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The cost of four mangoes, six guavas, and sixteen watermelons is  500, while the cost of seven mangoes, nine guavas, and nineteen watermelons is  620. What is the cost of one mango, one guava, and one watermelon?
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The cost of four mangoes, six guavas, and sixteen watermelons is  500, while the cost of seven mangoes, nine guavas, and nineteen watermelons is  620. What is the cost of a mango?
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The following is known about three real numbers, x, y, and z.

-4x4-8y2-8z2

Then, the range of values that M=xzy can take is best represented by _____.