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Earn 100

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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Important Questions on Number Systems

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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 _____.

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A man sold 38 pieces of clothing (combined in the form of shirts, trousers, and ties). If he sold at least 11 pieces of each item, and he sold more shirts than trousers, and more trousers than ties, then the number of ties he must have sold is _____.
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A man sold 38 pieces of clothing (combined in the form of shirts, trousers, and ties). If he sold at least 11 pieces of each item, and he sold more shirts than trousers, and more trousers than ties, then the number of shirts he must have sold is _____.
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Find the least number, which when divided by 12, 15, 18, or 20, leaves a remainder of 4 in each case.