Question : Find the smallest number to be added to 1000 so that 55 divides the sum exactly.
Option 1: 25
Option 2: 45
Option 3: 35
Option 4: 10
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Correct Answer: 45
Solution : The remainder when 1000 is divided by 55 = 10 To make the number divisible by 55, Number to be added = 55 – 10 = 45 Hence, the correct answer is 45.
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Question : Find the fourth proportion of the numbers $\frac{1}{3}{rd}$ of 15, $\frac{4}{5}{th}$ of 25, $\frac{3}{7}{th}$ of 35:
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Question : If a sum of money at simple interest becomes 45 times in 110 years, then in how many years will that sum become 23 times?
Question : Find the third proportional of 25 and 45.
Question : $\sin^2 35^{\circ}+\sin^2 55^{\circ}=$_______.
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