Mesa MSAT · Paper 7

The price of a premium notebook is 25% more than the price of a regular notebook. By what percentage is the regular notebook cheaper than the premium one?

A café's fruit punch contains orange juice and pineapple juice in the ratio $3 : 2$. How many litres of pineapple juice must be added to 20 litres of this punch to make the ratio $1 : 1$?

A stationery seller buys pens at 12 for ₹100 and sells them at 10 for ₹100. What is his profit percentage?

The average of five consecutive odd numbers is 37. What is the largest of these numbers?

Meera invests ₹15,000 for 2 years at 10% per annum, compounded annually. How much interest does she earn?

A 240 m long train passes a signal pole in 12 seconds. At the same speed, how long will it take to pass completely through a station platform that is 360 m long?

Pipe P can fill an empty water tank in 6 hours, and pipe Q can empty the full tank in 9 hours. If both pipes are opened together when the tank is empty, how long will it take to fill the tank?

What number comes next in the series: 2, 3, 5, 9, 17, ?

A fitness app recorded its monthly sign-ups.

January: 1,200

February: 1,500

March: 1,350

April: 1,800

In which month was the percentage increase over the previous month the highest?

A company's revenue grew from ₹40 lakh to ₹50 lakh in a year, and its profit grew from ₹6 lakh to ₹8 lakh. What happened to its profit margin (profit as a percentage of revenue)?

Meera is facing east. She turns $90^\circ$ clockwise, then $180^\circ$ anticlockwise, and then $45^\circ$ clockwise. Which direction is she facing now?

In a code, $P \times Q$ means P is the father of Q, $P + Q$ means P is the sister of Q, $P - Q$ means P is the brother of Q, and $P \div Q$ means P is the mother of Q. If $J \div K - L \times M$, how is J related to M?

Six friends, Arjun, Bhavya, Chetan, Disha, Esha and Farhan, sit around a circular table, equally spaced and facing the centre, so each person's right is the next seat anticlockwise. Disha sits opposite Arjun. Bhavya sits immediately to the right of Arjun. Chetan sits immediately to the left of Disha. Farhan does not sit next to Arjun. Who sits immediately to the right of Disha?

In a queue at a ticket counter, Sneha is 9th from the front and Varun is 14th from the back. There are exactly 4 people between them, and Sneha is ahead of Varun. How many people are in the queue?

In a certain code, BAG is written as 20 and SUN is written as 108. How is PEN written in that code?

Which letter should come next in this sequence: Z, X, U, Q, L, ?

Consider the two statements “Some apps are games” and “All games are free.” Which of the following conclusions can be drawn from them?

I. Some apps are free.

II. All free things are games.

A food-delivery startup announces: “Pay through our app instead of cash on delivery and get 10% off your order.”

Assumptions:

I. Some customers will switch to app payments to get the discount.

II. App payments are, in some way, better for the startup than cash on delivery.

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

Five boxes, labelled P, Q, R, S and T, are stacked one on top of another. R is at the bottom. Q is directly on top of P. T is somewhere above S. S is not directly on top of R. Which box is in the middle of the stack?

Three of these numbers share a property that the fourth does not have. Which number is the odd one out?