[Assistant Superintendent of Jails 2021]

1. Raman takes 8 hours to write a 50-page page manuscript while Reena can write the same manuscript in 6 hours. How many hours would it take them to write a 100 page manuscript, if they work together ?

[Assistant Superintendent of Jails 2021]

2. Consider the following diagram. In the diagram, r is radius of each circle and area of square not covered by circles is 378 cm². What is the value of radius r ?

[Assistant Superintendent of Jails 2021]

3. Seema rides her car at an average speed of 30 km/hr and she reaches her destination in 6 hours. Reema covers the same distance in 4 hours. If Seema increases her average speed by 10 km/hr and Reema increases her average speed by 5 km/hr, what would be the difference in their time taken to reach the destination?

[Assistant Superintendent of Jails 2021]

4. For a certain month, the dates of three of the Sundays are even number. What would be the day of 15^th of that month?

[Assistant Superintendent of Jails 2021]

5. What is the area of the face of a clock described by its minute hand between 9 a.m. and 9.35 a.m., if the minute hand is 18 cm long?