Masters' Union MUSAT · Paper 8

Two towns are 410 km apart. A car leaves the first town at 8 a.m. and drives towards the second at 50 km/h. A bus leaves the second town at 9 a.m. and drives towards the first at 40 km/h on the same road. At what time do they meet?

Walking to the station at 5 km/h, Kabir reaches 7 minutes after his train has left. Walking at 6 km/h, he reaches 5 minutes before it leaves. How far is the station from his home?

A shopkeeper uses a weight of 800 g in place of 1 kg, and he also charges 10% more than the cost price. What is his actual profit percentage?

Two fair dice are thrown together. What is the probability that the two numbers shown differ by exactly 2?

Four boys and three girls are to stand in a row for a photograph. In how many ways can they stand if no two girls are next to each other?

The average age of the 24 players in a squad is 22 years. When the coach's age is included, the average goes up by 1 year. How old is the coach?

A bar chart shows a city's car sales, in thousands, by fuel type.

Year: 2022, 2023, 2024

Petrol: 180, 172, 160

Diesel: 90, 84, 75

CNG: 30, 44, 55

Electric: 12, 26, 48

In 2024, electric cars were what percentage of all cars sold, correct to one decimal place?

The table shows a brand's advertising spend and its sales, both in ₹ lakh.

Year: 2020, 2021, 2022, 2023, 2024

Advertising: 20, 24, 30, 33, 40

Sales: 300, 340, 400, 436, 500

In which year was the increase in sales over the year before, divided by the increase in advertising spend over the year before, the highest?

The table shows how an electronics brand's revenue of ₹250 crore was split across its products.

Phones 36%, Laptops 24%, TVs 18%, Audio 12%, Accessories 10%

By what percentage was the revenue from phones more than the combined revenue from TVs and accessories?

The table shows how many orders a cloud kitchen received per day over 30 days.

Orders in a day: 40, 45, 50, 55, 60

Number of days: 4, 8, 9, 5, 4

What was the average number of orders per day?

A line graph shows the percentage of households in a district with a broadband connection: 2019: 22%, 2020: 31%, 2021: 37%, 2022: 46%, 2023: 51%, 2024: 59%. In how many years did this percentage rise by more than 7 percentage points over the year before?

A family put ₹2,00,000 into three funds. Each fund keeps an entry fee from the amount put in, and only the rest is invested.

Fund: amount put in, entry fee

X: ₹1,00,000, 4%

Y: ₹50,000, 10%

Z: ₹50,000, 2%

In a year the three funds together earned ₹22,800. How much did they earn for every ₹100 actually invested?

A bar chart shows a state's exports and imports, in ₹ thousand crore.

Exports: 2020: 40, 2021: 48, 2022: 55, 2023: 60

Imports: 2020: 54, 2021: 60, 2022: 72, 2023: 75

In which year was the trade deficit (imports minus exports) the largest as a percentage of exports?

Pointing to a woman, Vikram says, "Her mother is the only daughter of my father's mother." How is the woman related to Vikram?

Seven shops, a bakery, a chemist, a florist, a grocer, a jeweller, an optician and a tailor, stand side by side in a row that runs from west to east. The grocer is the fourth shop from the west end. Exactly two shops stand between the chemist and the florist. The chemist is somewhere west of the tailor, and the tailor is somewhere west of the bakery. The bakery is not at either end. The optician is somewhere east of the jeweller. Which shop is immediately west of the grocer?

Forty children stand in a row, all facing north. Kiran is 12th from the left end and Dev is 15th from the right end. How many children stand between Kiran and Dev?

One morning, soon after sunrise, Rhea walks along a straight road and notices that her shadow falls exactly to her right. She then turns left and walks on, and later turns left again. Which direction is she facing now?

Point Q is 6 m east of point P. Point R is 8 m north of Q. Point S is 14 m west of R. Point T is 2 m south of S. How far is T from P, and in which direction?

A community centre runs six workshops, Pottery, Quilling, Robotics, Sketching, Theatre and Ukulele, one on each day from Monday to Saturday. Robotics is on Thursday. Exactly two other workshops are held between Pottery and Ukulele. Sketching is on the day right after Quilling. Ukulele is not on Saturday. Which workshop is on Friday?