Mesa MSAT · Paper 8

The membership of a college music club rose by 20% in its first year and then fell by 20% in its second year. It now has 480 members. How many members did it have at the start?

In a college, the ratio of boys to girls is $7 : 5$. If 30 more girls join and no one leaves, the ratio becomes $1 : 1$. How many boys are there in the college?

A jacket with a marked price of ₹2,000 is sold after two successive discounts of 20% and 10%. What is its selling price?

The average weight of 8 players in a team is 60 kg. When one player who weighs 52 kg is replaced by a new player, the average weight rises by 1.5 kg. How much does the new player weigh?

In how many years will a sum of money double itself at 12.5% per annum simple interest?

A courier van leaves a warehouse at 40 km/h. Half an hour later, a second van leaves the same warehouse along the same road at 50 km/h. How long after it starts will the second van catch up with the first?

12 workers can set up a trade-fair stall in 10 days. They work for 4 days, and then 6 more workers, who work at the same rate, join them. How many more days will it take to finish the stall?

What number comes next in the series: 1, 2, 6, 24, 120, ?

A stationery shop's unit sales in two months were:

Pens: 400 in June, 500 in July

Files: 250 in June, 200 in July

Bags: 150 in June, 180 in July

By what percentage did the shop's total unit sales change from June to July?

A startup's monthly revenue in January is ₹2,00,000. If its monthly revenue grows by 10% every month over the previous month, what will its monthly revenue be in April?

One morning, shortly after sunrise, Arjun stood facing a pole. The shadow of the pole fell exactly to his right. Which direction was Arjun facing?

Introducing a woman, Karan says, “She is the wife of the only son of my father's father.” Karan is a man, and his father has married only once. How is the woman related to Karan?

Six interns, Gauri, Hari, Isha, Jay, Kiran and Lina, sit in a row facing north, so each person's right is towards the east end. Gauri sits second from the right end. Isha sits at one of the two ends. Exactly two people sit between Isha and Jay. Hari sits immediately to the left of Lina. Kiran does not sit at either end. Who sits at the extreme left end?

In a row of 40 students, Priya is 15th from the left end and Aman is 18th from the right end. How many students sit between Priya and Aman?

In a certain code, GARDEN is written as AGDRNE. How is FLOWER written in that code?

What is the missing term: AB, DE, HI, MN, ?

If some interns are coders and no coder is a manager, which of the following must be true?

An advertisement reads: “Join our weekend public-speaking workshop and speak confidently on any stage.”

Assumptions:

I. Only people who attend this workshop can speak confidently.

II. The workshop is free of cost.

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

Five friends, Esha, Farid, Gita, Hiren and Ishaan, all have different heights. Esha is taller than Farid but shorter than Gita. Hiren is shorter than Farid. Ishaan is taller than Gita. Who is the third tallest?

Three of the following units belong to the same group. Which one is the odd one out?