Welcome to your International Navodaya Chamber of Commerce (INCOC) Platform ! Subject: Fundamentals of Business Mathematics and StatisticsTotal Number of Question: 40Time: 41 MinutesPlease check your email after completion of test for result.All the best... Name Phone No Email State 1. If P(A)=0.6P(A) = 0.6 and P(B)=0.5P(B) = 0.5, and P(A∩B)=0.3P(A \cap B) = 0.3, what is P(A∪B)P(A \cup B)? 0.8 1.0 0.9 0.7 None 2. What is the value of 23×322^3 \times 3^2? 36 72 54 64 None 3. If a man can paint a wall in 6 hours and another man can paint it in 4 hours, how long will they take together to paint it? 2 hours 2.4 hours 3 hours 3.5 hours None 4. Simplify (a2−b2)/(a−b)(a^2 - b^2) / (a - b). a+ba + b a−ba - b 2a+b2a + b a2+b2a^2 + b^2 None 5. A sum of money triples itself in 12 years at simple interest. What is the rate of interest? 12% 15% 18% 25% None 6. What is the smallest prime number? 1 2 3 5 None 7. If the cost price is ₹500 and the profit is ₹75, what is the profit percentage? 10% 15% 12% 18% None 8. The ratio of two numbers is 3:4, and their sum is 84. What is the larger number? 36 48 64 72 None 9. The LCM of 12, 15, and 20 is: 120 60 180 240 None 10. If x=4x = 4 and y=3y = 3, what is x2+y2x^2 + y^2? 16 25 20 10 None 11. If the price of a product increases from ₹200 to ₹250, what is the percentage increase? 20% 25% 30% 50% None 12. If a+b=10a + b = 10 and a−b=4a - b = 4, what is bb? 2 3 6 4 None 13. A person travels 60 km in 3 hours. What is his speed? 15 km/hr 20 km/hr 25 km/hr 30 km/hr None 14. A cube has a volume of 64 cubic units. What is the length of its side? 2 4 6 8 None 15. A number is divisible by both 3 and 5. Which of the following is true about the number? It is divisible by 15 It is divisible by 9 It is divisible by 5 only It is not divisible by any other number None 16. If the probability of an event happening is 0.6, what is the probability of it not happening? 0.3 0.4 0.5 0.6 None 17. The reciprocal of 0.25 is: 4 2 0.4 0.5 None 18. In a geometric progression, the first term is 2, and the common ratio is 3. What is the 3rd term? 6 18 27 54 None 19. If P(A)=0.7P(A) = 0.7 and P(B)=0.5P(B) = 0.5, what is the probability of A∩BA \cap B if A and B are mutually exclusive? 1.2 0.7 0.5 0 None 20. A mixture contains 60% milk and 40% water. If 10 liters of water is added to the mixture, what is the new percentage of water if the initial quantity was 50 liters? 45% 50% 55% 60% None 21. The sum of deviations of observations from their mean is always: Positive Negative Zero Depends on the data None 22. The median of the dataset {8, 12, 15, 20, 25} is: 12 15 20 25 None 23. A frequency curve is drawn using: Midpoints Class intervals Class boundaries Cumulative frequencies None 24. Which measure of central tendency is most affected by extreme values? Median Mode Mean Range None 25. The probability of drawing an ace from a standard deck of 52 cards is: 1/13 1/26 1/52 4/13 None 26. If the variance of a dataset is 16, what is its standard deviation? 4 16 8 64 None 27. What is the coefficient of variation if the mean is 50 and the standard deviation is 5? 10% 50% 5% 25% None 28. The mode of the dataset {3, 3, 3, 5, 7, 8} is: 3 5 7 8 None 29. The range of the dataset {4, 8, 15, 20} is: 4 8 16 20 None 30. If the mean of 10 numbers is 20, what is the total sum of the numbers? 200 300 400 500 None 31. In a pie chart, if a sector represents 25% of the total, how many degrees does it cover? 90° 60° 120° 180° None 32. The quartiles divide a dataset into how many equal parts? 2 3 4 5 None 33. A histogram is used to represent: Categorical data Continuous data Discrete data Qualitative data None 34. The mode of the dataset {2, 3, 3, 4, 5, 5, 5, 6} is: 3 4 5 6 None 35. A bar graph is used for: Continuous data Time series data Discrete data Frequency distribution None 36. What is the probability of getting a tail in a coin toss? 0 1 0.5 2 None 37. The interquartile range is the difference between: Maximum and minimum values Q3 and Q1 Mean and mode Q2 and Q1 None 38. The measure of central tendency that divides the dataset into two equal parts is: Mean Median Mode Range None 39. What is the probability of drawing a red king from a deck of 52 cards? 1/26 1/13 2/52 1/52 None 40. In a scatter diagram, if the points are closely scattered along a straight line, it indicates: Weak correlation No correlation Strong correlation Negative correlation None 1 out of 4 Great job on taking the INCOC Test! We appreciate your interest in test.Look out for results and future opportunities.Stay Connected !! Your quiz time is about to finish. Few seconds left. 1 2 3 4 Time's upYou cannot switch tabs while taking this quiz!You are not allowed to switch tabs violation has been recorded.you cannot minimize full screen mode!You are not allowed to minimize full screen while taking this quiz, violation has been recorded.Access denied! To begin the quiz, please grant this quiz access to your camera.Time is Up!Time is Up!