CAT Exam

In a ballot process, 900 votes more were polled in favour of a resolution than were polled against it. It was also noticed that the number of votes polled against the resolution was 30 percent of the total number of votes polled. If all the votes polled were valid and each vote was either in favour of the resolution or against it, find the total number of votes polled.

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CAT Other Question

A man, while driving to his office, finds three traffic signals on his way. The probability that the traffic light is red when he reaches the first, second and third traffic signal is 5/8, 5/6 and 3/5 respectively. What is the probability that he finds at least one traffic light on his way which is not red? A group of students is to be divided into some rows such that all the rows have an equal number of students. When 7 students are put in each row, 3 students are left; when 8 students are put in each row, 5 students are left; and when 9 students are put in each row, 7 students are left. If 12 students are put in each row, then how many students will be left?