Shown below is the layout of major streets in a city
Two days (Thursday and Friday) are left for campaigning before a major election, and the city administration has received requests from five political parties for taking out their processions along the following routes.
Party | Procession Route |
---|---|
Congress | A-C-D-E |
BJP | A-B-D-E |
SP | A-B-C-E |
BSP | B-C-E |
CPM | A-C-D |
Street B-D cannot be used for a political procession on Thursday due to a religious procession. The district administration has a policy of not allowing more than one procession to pass along the same street on the same day. However, the administration must allow all parties to take out their procession during these two days.
The plots below depict and compare the average monthly incomes (in Rs. ’000) of males and females in ten cities of India in the years 2005 and 2015. The ten cities, marked A-J in the records, are of different population sizes. For a fair comparison, to adjust for inflation, incomes for both the periods are scaled to 2025 prices. Each red dot represents the average monthly income of females in a particular city in a particular year, while each blue dot represents the average monthly income of males in a particular city in a particular year. The gender gap for a city, for a particular year, is defined as the absolute value of the average monthly income of males, minus the average monthly income of females, in that year.
A bar graph shows the number of students in 5 departments of a college. If the average number of students is 240 and the number of students in the Science department is 320, how many students are there in total in the other four departments?
When $10^{100}$ is divided by 7, the remainder is ?