Mesa MSAT · Paper 10

In a test, Kiran scored 20% more marks than Lata, and Lata scored 25% fewer marks than Mohan. If Mohan scored 80 marks, how many marks did Kiran score?

A charity box holds ₹1, ₹2 and ₹5 coins in the ratio $5 : 3 : 2$ by number. The total value of the coins is ₹420. How many ₹2 coins are there?

A dealer sells two phones for ₹9,900 each. On one he gains 10%, and on the other he loses 10%. What is his overall result on the two phones?

The average of 20 daily order counts at a cloud kitchen was recorded as 45. Later it was found that one day's count of 64 had been entered as 46. What is the correct average?

A sum of money doubles itself in 5 years at compound interest. In how many years will it become 8 times itself at the same rate?

Walking at $\frac{4}{5}$ of his usual speed, Sahil reaches his office 10 minutes late. How long does he usually take to walk to the office?

Neel and Om together can finish a project in 10 days, Om and Pari together in 15 days, and Pari and Neel together in 12 days. How many days will all three take working together?

What number comes next in the series: 2, 6, 12, 20, 30, ?

A startup's revenue and expenses (in ₹ lakh) for four quarters were:

Q1: revenue 20, expenses 16

Q2: revenue 25, expenses 19

Q3: revenue 30, expenses 24

Q4: revenue 40, expenses 30

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

A startup spent ₹90,000 on online ads and got 1,500 sign-ups. Of the sign-ups, 20% became paying customers. What was the ad cost per paying customer?

A school is 3 km east of a bus stop. A library is 4 km north of the school, and a park is 3 km west of the library. How far is the park from the bus stop, and in which direction?

In a family, Mahesh (a man) is married to Nalini. Prakash is the only son of Mahesh and Nalini, and Kavya is his sister. Prakash is married to Rekha, and Om is the son of Prakash and Rekha. How is Kavya related to Om?

Six people sit in two rows of three, each directly facing a person in the other row. Kunal, Lata and Manav sit in the north row, facing south, so their right is towards the west. Neha, Om and Pia sit in the south row, facing north. Lata sits in the middle of her row. Kunal sits immediately to Lata's right. Om sits directly opposite Kunal. Pia does not sit at an end of her row. Who sits directly opposite Manav?

In a queue, there are 5 people ahead of Raghav and 8 people behind him. Sia is the third person behind Raghav. What is Sia's position from the end of the queue?

In a code language, “sell fast now” is written as “ka pi zo”, “buy now cheap” as “mu zo te”, and “sell cheap goods” as “te ka lu”. The code words in each phrase may be in any order. What is the code for “fast”?

Complete the pattern by choosing the letter that comes next: M, P, L, Q, K, R, ?

All banks are lenders, and no bank is a startup. There is at least one bank. Which of the following must be true?

Statement: A college café finds that about 40% of the food it cooks each day is thrown away at closing time.

Courses of action:

I. The café should track daily demand and cook in smaller batches.

II. The café should shut down permanently.

Which course(s) of action follow?

Mansi, Nikhil, Ojas and Pallavi own 2, 4, 6 and 8 books, one number each. Mansi has more books than Nikhil. Ojas has exactly 2 books more than Pallavi. Nikhil does not have the fewest books. How many books does Ojas have?

Which number does not belong with the other three?