Masters' Union MUSAT · Paper 2

A startup club wants to form a 4-member pitch review team from 5 finance students and 4 marketing students. The team must have at least 2 marketing students. Also, two finance students, Aarav and Kabir, cannot both be on the team. In how many ways can the team be formed?

In a MUSAT mock test, four batches attempted the same Numerical Ability section. Batch P had 20 students with an average score of 72, Batch Q had 30 students with an average score of 68, Batch R had 25 students with an average score of $x$, and Batch S had 15 students with an average score of 80. If the overall average score of all 90 students was 72, find $x$.

A campus marketing team ran four influencer campaigns. The table shows the amount spent and the number of leads generated. Which campaign generated the highest number of leads per ₹10,000 spent? Campaign P: ₹1,20,000 spent, 300 leads; Campaign Q: ₹90,000 spent, 252 leads; Campaign R: ₹1,50,000 spent, 390 leads; Campaign S: ₹80,000 spent, 216 leads.

A line graph shows the number of active users, in thousands, for a student budgeting app from January to June: January 12, February 18, March 21, April 33, May 36, and June 42. Between which two consecutive months was the increase in active users the highest?

A student council analysed average app-usage scores across three hostel blocks. Block A has 18 students with an average score of 76, Block B has 22 students with an average score of 81, and Block C has 20 students. If the overall average score of all 60 students is 79, what is the average score of Block C?

A campus merchandise team made 96 tote bags in two sizes: small and large. Each small bag used 2 metres of fabric, and each large bag used 3 metres of fabric. The total fabric used was 228 metres. However, 12 small bags were kept aside for sponsor hampers and were not sold. If each small bag sells for ₹250 and each large bag sells for ₹400, what revenue will the team earn if all sellable bags are sold?

For a campus founder fair, 30 stalls were planned in total. Out of these, 4 stalls were kept free for partner colleges and are included in the 30 stalls. The remaining paid stalls were sold as Premium and Standard stalls in the ratio $3 : 10$. A Premium stall costs ₹15,000 and a Standard stall costs ₹9,000. What was the total revenue collected from paid stalls?

At a campus startup expo, there are 50 booths in total. Exactly 10 booths are reserved for sponsor brands, who do not pay any booth fee but pay a fixed sponsorship amount of ₹18,000 each. Of the remaining booths, 60% are taken by college startups paying ₹2,500 per booth, and the rest are taken by external startups paying ₹4,000 per booth. Every external startup must also buy a power kit from the organisers for ₹600. What is the total amount the organisers collect from the expo?

Seven students, Lakshya, Mansi, Nakul, Oindrila, Parth, Ruhi and Sartaj, sit in a single row on a bench, all facing north. Left and right are the students' own, so 'left' is towards the west end of the bench and 'right' is towards the east end.

Parth sits at one end of the bench, and exactly three students sit between Parth and Mansi.

Nakul sits immediately to the left of Mansi, and Ruhi sits immediately to the right of Mansi.

Sartaj sits immediately to the right of Lakshya.

Lakshya does not sit next to Parth.

Who sits at the extreme left end of the bench?

Four exchange students, Farhan, Gauri, Hriday and Ishita, come from four different cities, Jaipur, Kochi, Pune and Shillong, and each is learning a different language: French, German, Japanese or Spanish.

The student from Kochi is learning Japanese.

Gauri is from neither Kochi nor Pune.

Farhan is learning neither Japanese nor Spanish.

The student learning French is from Jaipur.

Hriday is not from Kochi.

Gauri is not learning German.

The student learning Spanish is not from Shillong.

Which city is Farhan from?