Masters' Union MUSAT · Paper 7

A motorboat goes 36 km downstream and then comes back the same 36 km upstream, taking 9 hours in all. The stream flows at 3 km/h. What is the speed of the boat in still water?

A shop wants to offer a 25% discount on a backpack and still make a 17% profit. By what percentage above the cost price must it mark the backpack?

On a jacket marked ₹4,000, a store offers a buyer a choice: two successive discounts of 20% and 15%, or a single discount of 30%. Which deal is cheaper for the buyer, and by how much?

Two cards are drawn at random, without replacement, from a well-shuffled pack of 52 playing cards. What is the probability that one card is a king and the other is a queen?

In how many ways can the letters of the word STARTUP be arranged so that the two vowels are never next to each other?

The difference between the compound interest and the simple interest on a sum of money for 2 years at 8% per annum is ₹96. What is the sum?

The ages of a father and his son are in the ratio 11 : 3 today. In 4 years' time the ratio will be 3 : 1. What is the father's age today?

A stacked bar chart shows a company's revenue, in ₹ crore, from its three businesses.

Year: 2021, 2022, 2023, 2024

Retail: 120, 132, 141, 150

Wholesale: 60, 70, 80, 92

Exports: 20, 26, 31, 38

Which best describes Retail's share of the company's total revenue over these four years?

A company's sales were ₹80 crore in 2023 and ₹100 crore in 2024. The table gives each region's share of the year's sales.

Region: 2023, 2024

North: 30%, 25%

South: 35%, 38%

East: 20%, 22%

West: 15%, 15%

By how much did the North region's sales change from 2023 to 2024?

The table shows a café's weekend sales.

Item: price per cup, cups sold

Espresso: ₹120, 50

Latte: ₹180, 80

Cold brew: ₹220, 45

Tea: ₹60, 25

What was the average price of a cup sold over the weekend?

The table shows the number of employees in a firm's three offices and the ratio of men to women in each.

Delhi: 360 employees, men : women = 5 : 4

Mumbai: 280 employees, men : women = 4 : 3

Chennai: 220 employees, men : women = 6 : 5

Women make up what percentage of all the employees in the three offices together, correct to one decimal place?

A bar chart compares a sales team's quarterly target with what it achieved, in ₹ lakh.

Q1: target 40, achieved 36

Q2: target 45, achieved 48

Q3: target 50, achieved 47

Q4: target 60, achieved 66

For the whole year, what percentage of its total target did the team achieve, correct to one decimal place?

A bar chart shows a bakery chain's revenue and costs, in ₹ lakh.

2021: revenue 50, cost 42

2022: revenue 64, cost 52

2023: revenue 75, cost 63

2024: revenue 96, cost 80

In which year was the profit as a percentage of revenue the highest?

A line graph shows the number of subscribers of a music app, in lakh: 2022: 16, 2023: 20, 2024: 25. If the number keeps growing every year at the same percentage rate as it did from 2023 to 2024, in which year will it first be more than 45 lakh?

Pooja is the mother of Qadir and Rhea. Qadir is unmarried. Rhea and her husband Sameer have one child, a son named Tushar. How is Pooja related to Tushar?

Suresh and Arun are brothers. Meena is Suresh's daughter. Arun's son Kabir is married to Divya, and Kabir and Divya have a daughter, Tara. How is Meena related to Tara?

Gautam, Hema, Irfan, Juhi and Kartik all have different heights. Irfan is taller than only one person, Juhi. Hema is shorter than Gautam. Kartik is taller than Hema but shorter than Gautam. Who is the second tallest?

Nandini stands facing north. She turns 135° clockwise, and then turns 270° anticlockwise. In which direction is she facing now?

Five speakers, Arnav, Bhoomi, Chaitanya, Diksha and Eklavya, give one talk each on a different day from Monday to Friday, each on a different topic: Finance, Marketing, Design, Law and Data. The Finance talk is on Monday and the Law talk is on Wednesday. The Marketing talk is the day after the Law talk. Arnav speaks on Friday. Chaitanya speaks on Data. Bhoomi speaks the day before Diksha. Who gives the Law talk?

Eight trainees, Farah, Gopal, Hina, Ishan, Jatin, Kavya, Lohit and Mira, are split into two teams of four, Red and Blue. Jatin is in Red. Kavya and Lohit are both in a different team from Jatin. Hina and Ishan are in the same team, and so are Lohit and Mira. Gopal and Hina are in different teams. Which three trainees are in Red along with Jatin?