Mesa MSAT · Paper 3

A co-working space has meeting rooms numbered from 1 to 125. How many times does the digit ‘2’ appear in all the room numbers?

A café wants to mix coffee beans costing ₹520 per kg with beans costing ₹380 per kg to make a blend costing ₹430 per kg. In what ratio should the expensive beans and cheaper beans be mixed?

A student merchandise startup has a fixed setup cost of ₹72,000 for printing hoodies. Each hoodie sells for ₹900, and the variable cost per hoodie is ₹540. How many hoodies must be sold to break even?

The present ages of Anaya and Dev are in the ratio $5:7$. Six years ago, their ages were in the ratio $2:3$. What is the sum of their present ages?

A startup’s invoice code is $84x517$, where $x$ is a single digit. If the code must be divisible by 11, what is the value of $x$?

Aarav says, “My mother’s only sibling is Kavya. Kavya’s child is Rohan. Rohan is married to Meera. Dev is Meera’s father, and Meera is Dev’s only daughter. Nikhil is the child of Rohan and Meera.” What is Nikhil definitely to Aarav’s mother?

Avi says, “Mira is the only daughter of the person who is my mother’s father. Rohan is Mira’s spouse. Tara is Rohan’s sibling. Kabir is the child of Tara. Nia is the spouse of Kabir.” How is Kabir related to Mira?

For a campus pop-up store, the daily profit in rupees from selling $x$ combo meals is given by $P = -3x^2 + 180x - 600$. What is the maximum possible daily profit?

A café wants to create a rectangular outdoor seating area using a straight wall of the building as one side. They have 60 metres of rope fencing, and only the other three sides need to be fenced. What is the maximum possible area of the seating space?

A campus startup club reports: “Every student who completed our pitch-deck workshop was shortlisted for the demo day. Some shortlisted students later received investor calls.” Riya completed the pitch-deck workshop. Which conclusion definitely follows?

Statement: A startup incubator gives workspace access only to teams that have submitted a complete business plan. Team Nova was given workspace access this month. Conclusions: I. Team Nova submitted a complete business plan. II. Team Nova will definitely receive funding from the incubator.

In a queue for an entrepreneurship workshop, Neel is 17th from the left end and also 24th from the right end. How many students are there in the queue?

In a startup dashboard, “Pitch Deck” is related to “Investor Meeting” in the same way as “Resume” is related to:

Find the next term in the series: 5, 9, 12, 18, 19, 36, 26, ?

A campus café notices that during the same two weeks when Instagram reels about its cold coffee got more views, cold coffee sales also increased sharply. Which conclusion is the most reasonable?

A student council member argues: “The last three campus startups that became popular all used short-form video ads. So, if our new merchandise startup uses short-form video ads, it will definitely become popular too.” What is the main flaw in this argument?