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If 5x + 9y = 5 and 125x3 + 729y3 = 120 then the value of the product of x and y is:
45
135
1/45
1/35
Given, 5x + 9y = 5 .....(i) 125x3 + 729y3 = 120 ....(ii) Make whole cube of 1st equation, we get (5x + 9y)3 = (5)3 ⇒ 25x3 + 729x3 + 3 × 5x × 9y (5x + 9y) = 125 Put the value of given terms in equation ⇒ 25x3 + 729x3 + 3 × 5x × 9y (5x + 9y) = 125 ⇒ 20 + 135xy × 5 = 125 ⇒ 135xy × 5 = 5 ⇒ xy = 1/135.
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In which country is Mount Merapi volcano that erupted recently with avalanches of searing gas clouds and lava, forcing authorities to halt tourism and mining?
Indonesia
Japan
USA
Philipines
Indonesia's Mount Merapi erupted recently with avalanches of searing gas clouds and lava, forcing authorities to halt tourism and mining.
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