Mesa MSAT · Paper 2

A startup estimates its billboard impact score to be directly proportional to the area of the billboard and inversely proportional to the square of its distance from the main gate. Billboard A has an area of 27 sq. m and is 18 m from the gate. Billboard B has an area of 32 sq. m and is 16 m from the gate. What is the ratio of the impact score of A to B?

A campus merchandise team designs a circular sticker of diameter 28 cm. A sector of angle $90^\circ$ is printed in gold. Using $\pi = \frac{22}{7}$, what is the area of the gold portion?

For a campus startup dashboard, two quick rules are defined as $f(x) = 3x - 4$ and $g(x) = 2x + 5$. What is the value of $f(g(6))$?

A startup’s monthly packaging cost increased by 18% in April and then decreased by 15% in May. What is the net percentage change in the packaging cost compared to the original cost?

The brightness of a projector screen is inversely proportional to the square of the distance from the projector. If the screen is moved from 4 metres to 6 metres away, what is the new brightness as a fraction of the original brightness?

In a small café, a sandwich costs ₹$x$ and a smoothie costs ₹$y$, where $x$ and $y$ are positive integers. Is the sandwich more expensive than the smoothie? Statement 1: $3x + 2y = 160$. Statement 2: $x + y = 60$.

What is the remainder when $7^{83}$ is divided by 10?

If $(24)_b + (13)_b = (42)_b$, what is the value of base $b$?

A student council notices that in the same month, downloads of the college café app increased by 40% and café sales increased by 40%. The app team claims, “Our app caused the rise in café sales.” Which is the best evaluation of this claim?

A B-school’s online cafeteria ordering system is facing long delays mainly because the payment gateway fails during lunch hours. Suggested actions: I. Hire more kitchen staff immediately. II. Temporarily allow counter UPI/cash payment and notify students on the app. III. Offer free desserts next week to all affected students. Which action logically follows?

In a Mesa admissions workshop, 70 students attended the “Pitching” session, 55 attended the “Finance Basics” session, and 30 attended both. If a student is chosen at random from those who attended at least one of these two sessions, what is the probability that the student attended “Finance Basics”?

In a row of 6 students facing north for a campus quiz, is Tara sitting immediately to the left of Om? Statement I: Tara is second from the left end. Statement II: Om is third from the left end. Which of the following is correct?

At a startup pitch practice session, Mehul is standing in a line of students. He is 16th from the left end and 23rd from the right end. How many students are there in the line?

A campus food-ordering app is receiving many complaints because students reach the pickup counter at the shown time, but the item is unavailable. The operations team finds that menu availability is updated manually only once every morning. Suggested actions: I. Link the app menu to the café’s live stock system so unavailable items are hidden immediately. II. Offer a flat 20% discount on every order next week. III. Hire two more pickup-counter staff members. Which course of action logically follows?

Read the statement and conclusions carefully. Statement: A campus startup grant is given to every student team that has a faculty mentor and submits a prototype before the deadline. Team ByteBridge has a faculty mentor and submitted its prototype two days before the deadline. Conclusions: I. Team ByteBridge will receive the campus startup grant. II. Team ByteBridge has already built a prototype.

In a figure series, each figure is a square with an arrow inside and one shaded corner. Figure 1 has the arrow pointing up and the top-left corner shaded. Figure 2 has the arrow pointing right and the bottom-left corner shaded. Figure 3 has the arrow pointing down and the bottom-right corner shaded. Figure 4 has the arrow pointing left and the top-right corner shaded. What should Figure 5 be?

Data Sufficiency: In a 5-floor startup hub, each company occupies exactly one floor. The question is: “Is Nova Labs on the 3rd floor?” Statement I: Nova Labs is immediately above Pixel Works, and Pixel Works is immediately above Orbit Studio. Statement II: Orbit Studio is on the 1st floor, and Nova Labs is two floors above Orbit Studio. Which option is correct?