SBI Clerk - Quadratic Equations, Data Interpretation, Percentage Online Test (MCQ Quiz)

1. If x^2 - 7x + 12 = 0, what are the values of x?

A) 3, 4 B) -3, -4 C) 3, -4 D) -3, 4

2. Solve the quadratic equation: 2y^2 + 5y - 3 = 0.

A) 1/2, -3 B) -1/2, 3 C) 1/2, 3 D) -1/2, -3

3. Given the quadratic equation 3p^2 - 11p + 10 = 0, find the roots.

A) 2, 5/3 B) -2, -5/3 C) 2, -5/3 D) -2, 5/3

4. If the roots of the equation k^2 - 5k + 6 = 0 are alpha and beta, what is alpha + beta?

A) 5 B) -5 C) 6 D) -6

5. For the equation 4q^2 + 8q + 3 = 0, what is the product of the roots?

A) 3/4 B) -3/4 C) 8/4 D) -8/4

6. What is the value of x if x^2 = 16?

A) 4 B) -4 C) 4, -4 D) 16

7. If x^2 - 9 = 0, find the roots.

A) 3 B) -3 C) 3, -3 D) 9

8. Solve for m: 5m^2 - 20 = 0.

A) 2 B) -2 C) 2, -2 D) 4

9. If x^2 + 6x + 9 = 0, what is the value of x?

A) 3 B) -3 C) 9 D) 1

10. The sum of roots of ax^2 + bx + c = 0 is given by:

A) c/a B) -c/a C) b/a D) -b/a

11. The product of roots of ax^2 + bx + c = 0 is given by:

A) c/a B) -c/a C) b/a D) -b/a

12. A company's profit increased by 20% in the first year and then decreased by 10% in the second year. If the initial profit was Rs. 50,000, what is the profit after two years?

A) 54,000 B) 55,000 C) 52,000 D) 56,000

13. If a number is increased by 25%, it becomes 125. What is the number?

A) 100 B) 110 C) 90 D) 120

14. A student scored 60% marks in an exam. If the maximum marks were 500, how many marks did the student score?

A) 250 B) 300 C) 350 D) 400

15. What percentage of 80 is 20?

A) 15% B) 20% C) 25% D) 30%

16. If a price is decreased by 10%, and the new price is Rs. 900, what was the original price?

A) 1000 B) 1100 C) 990 D) 950

17. Two numbers are in the ratio 5:7. If the first number is 45, what is the second number?

A) 56 B) 63 C) 70 D) 72

18. If 30% of a number is 150, what is 50% of that number?

A) 200 B) 250 C) 300 D) 350

19. A shopkeeper marks his goods 20% above the cost price and then offers a 10% discount. What is his overall profit percentage?

A) 8% B) 10% C) 12% D) 15%

20. If a town's population increased by 15% from 2020 to 2021, and the population in 2021 was 23,000, what was the population in 2020?

A) 20,000 B) 21,000 C) 22,000 D) 20,500

21. A survey shows that 40% of people prefer brand A, 30% prefer brand B, and the rest prefer brand C. If 1000 people were surveyed, how many prefer brand C?

A) 200 B) 300 C) 400 D) 500

22. If the cost price of an item is Rs. 800 and the selling price is Rs. 1000, what is the profit percentage?

A) 20% B) 25% C) 30% D) 35%

23. A number is first increased by 10% and then decreased by 10%. The net result is:

A) 1% increase B) 1% decrease C) No change D) 10% increase

24. In a Data Interpretation chart, what does the y-axis typically represent?

A) Independent variable B) Dependent variable or frequency C) Time period D) Category labels

25. Which type of chart is best suited for showing trends over time?

A) Bar chart B) Pie chart C) Line graph D) Scatter plot

26. A pie chart represents:

A) Comparison between categories B) Distribution of a whole into parts C) Data points and their relationship D) Trends over discrete intervals

27. In a bar graph, the width of the bars:

A) Represents the value B) Is proportional to the value C) Is usually the same for all bars D) Indicates the gap between categories

28. What is the primary purpose of Data Interpretation?

A) To create new data B) To analyze and understand existing data C) To perform complex calculations D) To present raw data

29. If a line graph shows sales of a product over five years, and the line is upward sloping, it indicates:

A) Decreasing sales B) Stable sales C) Increasing sales D) Fluctuating sales

30. A scatter plot is used to show:

A) Proportions of a whole B) Comparison of discrete values C) Relationship between two numerical variables D) Trends over time

31. In a table, rows typically represent _______ and columns represent _______.

A) Categories, Values B) Items, Attributes C) Attributes, Items D) Values, Categories

32. What is the average of the roots of the quadratic equation 2x^2 - 10x + 12 = 0?

A) 2 B) 5 C) 6 D) 10

33. If x^2 - 12x + 35 = 0, what is the difference between the roots?

A) 1 B) 2 C) 3 D) 4

34. Given y^2 + 9y + 20 = 0, what is the sum of the squares of the roots?

A) 41 B) -41 C) 61 D) 81

35. Solve for k: k^2 - 6k + 9 = 0.

A) 3 B) -3 C) 3, 3 D) 9

36. What is 75% of 200?

A) 150 B) 160 C) 175 D) 180

37. If a price is increased by 20%, and the new price is Rs. 1200, what was the original price?

A) 960 B) 1000 C) 1100 D) 1200

38. A mixture contains milk and water in the ratio 3:2. If 5 liters of water are added, the ratio becomes 3:3. What was the original quantity of milk?

A) 10 liters B) 15 liters C) 20 liters D) 25 liters

39. If 15% of a salary is Rs. 4500, what is 25% of the salary?

A) 7500 B) 8000 C) 8500 D) 9000

40. A number is decreased by 20% and then increased by 20%. The net result is:

A) 4% decrease B) 4% increase C) No change D) 20% decrease

41. In a data set, if 20% of 500 items are defective, how many items are defective?

A) 50 B) 100 C) 150 D) 200

42. If the selling price is 125% of the cost price, what is the profit percentage?

A) 20% B) 25% C) 30% D) 35%

43. If the ratio of boys to girls in a class is 4:5, and there are 20 boys, how many girls are there?

A) 20 B) 25 C) 30 D) 35

44. A number, when increased by 30%, becomes 130. What is the original number?

A) 100 B) 110 C) 120 D) 130

45. In a pie chart showing expenditure, if the 'Rent' sector is 90 degrees, what percentage of the total expenditure is rent?

A) 15% B) 20% C) 25% D) 30%

46. If x^2 - 3x + 2 = 0 and y^2 - 5y + 6 = 0, what is the relationship between x and y?

A) x > y B) x < y C) x >= y D) x = y

47. Given 2x^2 + 7x + 3 = 0 and y^2 + 5y + 6 = 0, what is the relationship between x and y?

A) x > y B) x < y C) x >= y D) x = y

48. If 50% of a number is 75, what is 80% of that number?

A) 100 B) 110 C) 120 D) 130

49. A product's price is increased by 25%. By what percentage should the new price be decreased to restore the original price?

A) 15% B) 20% C) 25% D) 30%

50. If the sum of the roots of ax^2 + bx + c = 0 is equal to their product, then which of the following is true?

A) a = b B) a = c C) b = c D) a = -b

Quadratic Equations, Data Interpretation, Percentage - Online Test

Test Results