Mesa MSAT · Paper 6

A school batch has 60 students, 40% of whom are girls. One-third of the boys and one-fourth of the girls have joined the entrepreneurship club. What percentage of the batch has joined the club?

Three co-founders, Isha, Kabir and Tanvi, share a prize of ₹70,000. The ratio of Isha's share to Kabir's share is $2 : 3$, and the ratio of Kabir's share to Tanvi's share is $4 : 5$. How much does Tanvi get?

The average age of the 5 members of a startup team is 24 years. When a mentor joins the team, the average age of all 6 becomes 27 years. How old is the mentor?

At simple interest, a sum of money grows to ₹7,800 in 3 years and to ₹9,000 in 5 years. What is the rate of interest per annum?

A delivery rider rides from a warehouse to a customer's house at 30 km/h and returns along the same road at 20 km/h. What is the rider's average speed for the whole trip?

What number comes next in the series: 4, 9, 19, 39, 79, ?

A college café recorded the plates it sold over four days.

Monday: 40 samosas, 30 sandwiches

Tuesday: 50 samosas, 25 sandwiches

Wednesday: 35 samosas, 45 sandwiches

Thursday: 55 samosas, 40 sandwiches

What percentage of all the plates sold over the four days were sandwiches?

An online store had 20,000 visitors last month. Of these visitors, 15% added an item to their cart, and 40% of those who added an item completed the purchase. If the average order value was ₹600, what was the store's revenue from these orders?

From the hostel gate, Kabir cycles 6 km north, turns right and cycles 8 km, and then turns right again and cycles 12 km. How far is he now from the hostel gate, and in which direction?

Pointing to a man in a photograph, Neha says, “His mother is the only daughter of my mother.” Neha is a woman. How is the man related to Neha?

Five friends, Pia, Qadir, Ria, Sam and Tara, sit in a row facing north, so each person's left is towards the west end. Ria sits in the middle seat. Pia sits immediately to the left of Ria. Tara sits at one of the two ends. Qadir does not sit at an end, and Sam does not sit next to Pia. Who sits at the extreme right end?

In a class of 45 students ranked by marks, with no two students sharing a rank, Aditi is 12th from the top. Rohan is 5 places below Aditi. What is Rohan's rank from the bottom?

In a certain code, MARKET is written as NZIPVG. How is BRAND written in that code?

Find the next letter in the series: A, C, F, J, O, ?

Statements:

All managers are graduates.

No graduate is a dropout.

(Take it that each group mentioned has at least one member.)

Conclusions:

I. No manager is a dropout.

II. Some graduates are managers.

Which conclusion(s) follow?

A college admissions office puts up a notice: “Book your campus tour online at least two days in advance.”

Assumptions:

I. Most visitors are able to use the online booking system.

II. Tours cannot be run for visitors who arrive without booking.

Which of the assumptions is/are implicit in the notice?

Four friends, Anu, Bela, Chirag and Dev, each own a different pet: a cat, a dog, a parrot and a fish. Anu owns neither the cat nor the dog. Bela owns the parrot. Chirag does not own the cat. Who owns the dog?

Three of the following letter groups follow the same pattern and one does not. Which group is the odd one out?