Mesa MSAT · Paper 4

A campus café tracked the number of cold coffees sold over 7 evenings: 24, 18, 21, 18, 26, 27, and 20. What are the mean, median, and mode respectively?

Three reminder bells in a co-working space ring every 18 minutes, 24 minutes, and 30 minutes respectively. If they ring together at 9:00 AM, after how many minutes will they ring together again?

Three identical solid metal spheres, each of radius 7 cm, are melted and recast into a solid cylinder of radius 7 cm. What is the height of the cylinder?

A regular polygon-shaped logo has each exterior angle equal to $24^\circ$. How many diagonals does the logo have?

The weekly sales calls made by 7 members of a campus startup team are: 22, 18, 25, $x$, 20, 22, and 30. If the mean number of calls is 23, what are the median and mode respectively?

A café floor measuring 12.6 m by 9.8 m has to be covered using the largest possible square tiles, with no cutting and no gaps. What is the minimum number of tiles required?

A student bought a notebook at a discount on its marked price. What was the marked price of the notebook?

Statement 1: The discount was 20%.

Statement 2: The student paid ₹240 after the discount.

A campus entrepreneurship club has 80 metres of temporary fencing to create a rectangular demo zone against a long wall. The wall will act as one side of the rectangle, so fencing is needed only for the other three sides. What is the maximum possible area of the demo zone?

A student council must select a 4-member event team from 5 operations volunteers and 4 design volunteers. The team must include at least 2 operations volunteers. In how many ways can the team be selected?

The student council notices that disposable cups are still being heavily used in the campus café, even though reusable tumblers are available at a subsidised price. A quick check shows that most students do not know the tumblers are available because they are kept inside a back shelf. Suggested actions: I. Place the reusable tumblers next to the billing counter with a clear sign and a small extra discount for first-time buyers. II. Stop the subsidy on reusable tumblers to reduce the council’s expense. III. Organise a finance seminar on sustainable businesses next month. Which action logically follows?

A campus café noticed that whenever it introduced a student combo meal below ₹120, the number of lunch orders increased during the first week. This month, it introduced a ₹99 combo and lunch orders increased by 18% in the first week. Conclusions: I. Lower-priced combo meals can increase first-week lunch orders at this café. II. Students prefer the ₹99 combo because it is healthier than other meals. III. The café's monthly profit will definitely increase because of the ₹99 combo. Which conclusion definitely follows?

In a startup branding workshop, the code rule is shown as: PITCH is to SLWFK as DEAL is to ?

Startup is to pitch deck as restaurant is to ________. Choose the option that follows the same relationship.

Consider the two events below. Event I: Searches for “budget hotels in Jaipur” rose sharply among college students this week. Event II: Bookings for overnight buses to Jaipur also rose sharply this week. A major youth music festival in Jaipur was announced for the weekend. Which conclusion is most reasonable?

Consider the argument: “If a startup validates its idea with real customers, its pilot metrics improve. The pilot metrics did not improve. Therefore, the startup did not validate its idea with real customers.” Which option has the same logical structure?

Six students, A, B, C, D, E and F, are standing in a straight line facing north for a campus registration desk. C is second from the left. A is immediately to the right of D. E is somewhere to the right of C but not at the extreme right end. B is not adjacent to C. Who is standing at the extreme right end?