MCC - Assessment - Day 14

A small town named Meadowville experiences notable changes in its population over three years. In the first year, the population grows by 10%, but in the second year, it shrinks by 5%. By the third year, the town sees a significant recovery with a 15% increase. Considering all these fluctuations, what is the total percentage change in Meadowville’s population after these three years?

• 18%
• 20.08%
• 12%
• 5%

Brothers, Alex and Bob, have their ages in the ratio 5:7. Fast forward six years, and their ages will be in the ratio 3:4. Can you figure out Alex’s current age?

• 35
• 30
• 32
• 28

At Gada electronics, Jethalal decides marks up his electronic goods 50% on cost price to make good profit. To further entice customers, he offers subsequent discounts of 10% + 10% on the marked price. What is the profit percentage Jethalal ultimately earns from his sales?

• 30%
• 21.5%
• 25%
• 15%

An artisan dairy farmer has a special 20-liter blend of milk and water mixed in a 14:6 ratio. One day, the farmer decides to experiment: they remove some of the mixture and replace it with water, which reduces the milk concentration by 10%. How many liters of water did they actually add?

• 3 liters
• 2 liters
• 5 liters
• 1 liter

Firm Everest Builders has a challenging project to complete within a strict deadline of 20 days. To tackle this, they initially hire 45 workers. After 10 days of diligent work, they discover that only 60% of the work has been finished. With time running out, the firm needs to decide how many additional workers to bring in to ensure the project is completed on time. Please calculate the number of workers required to meet the deadline?

• 10

• 15

• 20

• 18

Imagine you’re planning a road trip between two beautiful cities, Udupi and Wayanad. On the way there, your car cruises smoothly at 60 km/h, enjoying the scenic views. However, on the return trip, with lighter traffic, you manage to speed up to 90 km/h. Over the entire journey, what would be the car’s average speed?

• 60 km/h
• 72 km/h
• 80 km/h
• 75 km/h

Brittany borrows $1,000 from the bank at an interest rate of 10% per month, compounded monthly. As per the loan agreement, she must repay the loan in three equal installments over three months. What is the approximate amount of each installment Brittany needs to pay, rounded to the nearest dollar?

• 250
• 600
• 500
• 402

Distinct positive integers p and q have a remainder of 2 when divided by 9. What is the remainder when 3 digit number placed as pq5 is divided by 9?

• 0
• 3
• 2
• 1

You have 4 actors and 4 cricketers waiting to be seated in a row for an award function. However, there’s a catch: no two actors are allowed to sit together. How many different ways can they be seated while maintaining this arrangement rule?

• 2880
• 1440
• 3600
• 2400

Inside a bag, there are 7 chocolates, 4 cupcakes, and 2 candies. If you were to reach into the bag, eyes closed, and pick just one item, what is the chance that you grab either a cupcake or a chocolate?

• 1/13
• 2/13
• 5/13
• 11/13