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Earn 100

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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Important Questions on Number Systems

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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.
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What is the least number by which 2800 should be multiplied, so that the product may be a perfect square?
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The least four-digit number which is a perfect square is: