A train starts full of passengers. At the first station, it drops one third of passengers and takes 280 more. At the second station, it drops one half of the new total and takes 12 more. On arriving at the third station, it is found to have 248 passengers. The number of passengers in the beginning was

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The value of a flat worth ₹500,000 is depreciating at the rate of 10% per annum. In how many years will the value be reduced to ₹364,500?

Match the LIST-I with LIST-II

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$(\frac{4}{7})$ of a pole is in the mud. When $(\frac{1}{3})$ of the pole is pulled out, 250 cm is still in the mud. The length of the pole is

Given below are two statements :

In class ' $X$ ' of 30 students, 24 passed in first division; in another class ' $Y$ ' of 35 students, 28 passed in first division.

Statement I : Class ' $X$ ' has more percentage of students getting first division.

Statement II : Both classes have equal percentage of students getting first division.

A candidate scoring $x \%$ marks in an examination fails by ' $a$ ' marks while another candidate who scores $y \%$ marks, gets ' $b$ ' marks more than the minimum required pass marks. What is the maximum marks for the examination ?