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Earn 100

A test has questions. mark is awarded for a correct answer, while there is a negative penalty of for a wrong answer, and a negative penalty of for an unattempted question. If it is known that a student has left questions unanswered, and the student has scored a net total of marks, then the number of correct answers is _____.
(a)
(b)
(c)
(d)Cannot be determined

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Important Questions on Number Systems
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Three mangoes, four guavas, and five watermelons cost . Ten watermelons, six mangoes, and nine guavas cost . What is the cost of six mangoes, ten watermelons, and four guavas?

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From a positive integer "", subtract . Take the reciprocal of the result to get the value of "". Then, which of the following is necessarily true?

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The cost of four mangoes, six guavas, and sixteen watermelons is , while the cost of seven mangoes, nine guavas, and nineteen watermelons is . 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 , while the cost of seven mangoes, nine guavas, and nineteen watermelons is . What is the cost of a mango?

HARD
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The following is known about three real numbers, , , and .
Then, the range of values that can take is best represented by _____.

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A man sold pieces of clothing (combined in the form of shirts, trousers, and ties). If he sold at least 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 pieces of clothing (combined in the form of shirts, trousers, and ties). If he sold at least 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 , , , or , leaves a remainder of in each case.
