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Earn 100

The product of 36 positive integers is 1. Their sum is greater than or equal to _____.

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Important Questions on Progressions

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If the AM of two numbers a and b is 12, while their HM is 3, then find the value of ab.
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If x+1yz, y+1zx, and z+1xy are in AP, then x, y, and z are in _____.
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If a times the ath term of an AP is equal to b times the bth term, then find the a+bth term.
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A number 28 is divided into four parts that are in AP, such that the ratio of the product of the first and the fourth parts to the product of the second and the third parts is 5:6. Find the smallest part.
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Find the value of the expression: 1-3+5-7+... up to 100 terms.
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If a clock strikes once at 12 a.m., twice at 1 a.m., thrice at 2 a.m., and so on, then how many times will the clock strike in the course of 3 days, assuming a 24-hour clock.
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What will be the maximum sum of the series 54, 52, 50, ...?
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Find the sum of all the integers between 100 and 300 that are multiples of 7.