Mesa MSAT · Paper 9

In a student council election between two candidates, every student cast one valid vote. The winner got 58% of the votes and won by 112 votes. How many votes were cast in all?

The monthly incomes of Asha and Bilal are in the ratio $4 : 3$, and their monthly expenses are in the ratio $3 : 2$. If each of them saves ₹6,000 a month, what is Asha's monthly income?

A shop sells a phone cover for ₹391 and makes a profit of 15%. At what price should it sell the cover to make a profit of 25%?

Section P has 30 students with an average score of 72, and Section Q has 20 students with an average score of 82. What is the average score of all 50 students taken together?

Ria invests ₹8,000 at 6% per annum and ₹12,000 at 9% per annum, both at simple interest. What is her overall rate of interest per annum on the total ₹20,000?

A boat goes 24 km downstream in 2 hours and comes back the same 24 km upstream in 3 hours. What is the speed of the stream?

Vikram can paint a mural in 10 days and Zoya can paint it in 15 days. They work on alternate days, with Vikram working on the first day. In how many days will the mural be finished?

What number comes next in the series: 29, 31, 37, 41, 43, ?

The marks of four students in Maths, English and Science were:

Esha: 80, 70, 90

Farah: 75, 85, 70

Gopal: 90, 60, 84

Hina: 70, 90, 75

Who has the highest total?

A café's monthly revenue is ₹4,00,000. Its ingredients cost 35% of revenue, its rent is ₹60,000 and its salaries are ₹1,00,000. What is the café's profit margin (profit as a percentage of revenue)?

A drone takes off from a launch pad and flies 15 m east, 4 m north, 3 m west and then 5 m north, where it lands. How far is it from the launch pad, and in which direction?

Riya is the daughter of Mohan and his wife, Sunita. Sunita is the only sister of Ajay, who is a man. Kunal is Ajay's son. How is Kunal related to Riya?

Five colleagues, Uma, Varun, Wasim, Xena and Yash, sit in a row facing south, so each person's right is towards the west end. Wasim sits in the middle. Uma sits immediately to the right of Wasim. Yash sits at one of the ends but not next to Uma. Xena does not sit next to Yash. Who sits immediately to the right of Uma?

In a class test, Tara is 8th from the top and 29th from the bottom among the students who passed. 5 students failed and 3 were absent. How many students are there in the class, counting those who were absent?

In a certain code, PLAN is written as 17-13-2-15. How is GOAL written in that code?

Which term comes next: A1, C4, E9, G16, ?

Given that some founders are engineers and some engineers are writers, which of the following conclusions definitely follow(s)?

I. Some founders are writers.

II. All writers are engineers.

Statement: All 60 seats in the Saturday design-thinking workshop were booked within an hour of registration opening.

Conclusions:

I. Next Saturday's workshop will also be fully booked.

II. There was strong demand for this workshop.

Which conclusion(s) follow?

Five talks, on Pricing, Quality, Retail, Sales and Tech, are held one after another on the same day. The Tech talk is the last one. The Sales talk is held immediately before the Tech talk. The Quality talk is held immediately after the Pricing talk. The Retail talk is held at some time before the Pricing talk. Which talk is held third?

In three of these letter-number pairs, the number is linked to the letter by the same rule. Which pair is the odd one out?