Mock Test

Q1. A research team studying educational outcomes uses standardized test scores as the primary metric. If the tests themselves are found to have cultural biases, the interpretation of the data might be flawed due to:

Q2. A group of 8 people is to be seated around a circular table. In how many ways can this be done?

Q3. A graph database stores relationships between entities. Each node has an average of 20 relationships. Each relationship stores an ID (BIGINT - 8 bytes) and a weight (FLOAT - 4 bytes). If there are 1 billion entities (nodes) and the graph database uses an adjacency list representation, with each node having a fixed overhead of 50 bytes for its properties, what is the approximate total storage for the relationships alone?

Q4. A company employs 500 people. 300 are men, and 200 are women. 100 men are managers, and 50 women are managers. If a person is selected at random, what is the probability that the person is a manager given that the person is a woman?

Q5. A can complete a work in 20 days. B can complete it in 30 days. They work together for 10 days. Then A leaves. In how many days can B alone complete the remaining work?

Q6. What is 10% of 5000?

Q7. Calculate the simple interest earned on Rs. 15000 for 5 years at 6% per annum.

Q8. A bird is sitting on top of a tree of height 15 meters. It flies down and lands on the ground at a point 20 meters from the base of the tree. What is the angle of depression from the bird's initial position to the point where it lands?

Q9. A company is collecting user browsing history to personalize advertisements. Which of the following privacy principles is most directly violated if the company shares this data with a third-party marketing firm without explicit user consent?

Q10. A man gives 1/3 of his property to his wife, 1/4 of the remaining to his son, and the rest to his daughter. If the daughter's share is Rs. 60000, what was the total value of the property?

Q11. A tank is filled by two pipes. The first pipe can fill the tank in 6 hours, and the second pipe can fill it in 8 hours. If 1/3 of the tank is already filled, and both pipes are opened, how long will it take to fill the remaining part of the tank?

Q12. A car travels the first 100 km at a speed of 50 kmph and the next 150 km at a speed of 75 kmph. What is the average speed for the entire journey?

Q13. The given pie chart shows the distribution of students in five different colleges. What is the total number of students across all colleges?

Q14. A motorcycle covers a certain distance in 6 hours. If it reduces its speed by 10 km/hr, it takes 8 hours to cover the same distance. What is the original speed?

Q15. If a pie chart shows the market share of different companies, and Company P has 15% market share, what is the angle subtended by Company P?

Q16. A sum of money is lent at simple interest. If it amounts to Rs. 8,100 in 5 years and Rs. 9,600 in 8 years, find the rate of interest.

Q17. What is the value of cos(60°)?

Q18. The line graph represents the population of two villages, A and B, over a period of 10 years. In which year was the population of Village A greater than the population of Village B?

Q19. Which of the following visualizations is best for showing the flow or movement of data or processes between different entities?

Q20. From the market share data in the previous question, what is the combined market share of Brands B and D?