Quadratic Equations, Data Interpretation, Percentage - One Line Questions
1.
If x^2 - 12x + 35 = 0, what is the difference between the roots? —
2
2.
Solve the quadratic equation: 2y^2 + 5y - 3 = 0. —
1/2, -3
3.
A number is first increased by 10% and then decreased by 10%. The net result is: —
1% decrease
4.
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? —
15 liters
5.
If a number is increased by 25%, it becomes 125. What is the number? —
100
6.
A number, when increased by 30%, becomes 130. What is the original number? —
100
7.
If 50% of a number is 75, what is 80% of that number? —
120
8.
If a price is decreased by 10%, and the new price is Rs. 900, what was the original price? —
1000
9.
What percentage of 80 is 20? —
25%
10.
In a pie chart showing expenditure, if the 'Rent' sector is 90 degrees, what percentage of the total expenditure is rent? —
25%
11.
A product's price is increased by 25%. By what percentage should the new price be decreased to restore the original price? —
20%
12.
What is 75% of 200? —
150
13.
Solve for m: 5m^2 - 20 = 0. —
2, -2
14.
What is the average of the roots of the quadratic equation 2x^2 - 10x + 12 = 0? —
5
15.
Given the quadratic equation 3p^2 - 11p + 10 = 0, find the roots. —
2, 5/3
16.
If the ratio of boys to girls in a class is 4:5, and there are 20 boys, how many girls are there? —
25
17.
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? —
20,000
18.
If the cost price of an item is Rs. 800 and the selling price is Rs. 1000, what is the profit percentage? —
25%
19.
If the selling price is 125% of the cost price, what is the profit percentage? —
25%
20.
If 30% of a number is 150, what is 50% of that number? —
250
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? —
300
22.
A student scored 60% marks in an exam. If the maximum marks were 500, how many marks did the student score? —
300
23.
If x^2 - 9 = 0, find the roots. —
3, -3
24.
If x^2 + 6x + 9 = 0, what is the value of x? —
-3
25.
Solve for k: k^2 - 6k + 9 = 0. —
3, 3
26.
If x^2 - 7x + 12 = 0, what are the values of x? —
3, 4
27.
For the equation 4q^2 + 8q + 3 = 0, what is the product of the roots? —
3/4
28.
What is the value of x if x^2 = 16? —
4, -4
29.
A number is decreased by 20% and then increased by 20%. The net result is: —
4% decrease
30.
Given y^2 + 9y + 20 = 0, what is the sum of the squares of the roots? —
41
31.
If the roots of the equation k^2 - 5k + 6 = 0 are alpha and beta, what is alpha + beta? —
5
32.
In a data set, if 20% of 500 items are defective, how many items are defective? —
100
33.
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? —
56,000
34.
Two numbers are in the ratio 5:7. If the first number is 45, what is the second number? —
63
35.
If 15% of a salary is Rs. 4500, what is 25% of the salary? —
7500
36.
A shopkeeper marks his goods 20% above the cost price and then offers a 10% discount. What is his overall profit percentage? —
8%
37.
If a price is increased by 20%, and the new price is Rs. 1200, what was the original price? —
1000
38.
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 = c
39.
Which type of chart is best suited for showing trends over time? —
Line graph
40.
The sum of roots of ax^2 + bx + c = 0 is given by: —
-b/a
41.
The product of roots of ax^2 + bx + c = 0 is given by: —
c/a
42.
In a table, rows typically represent _______ and columns represent _______. —
Items, Attributes
43.
A pie chart represents: —
Distribution of a whole into parts
44.
If a line graph shows sales of a product over five years, and the line is upward sloping, it indicates: —
Increasing sales
45.
In a Data Interpretation chart, what does the y-axis typically represent? —
Dependent variable or frequency
46.
A scatter plot is used to show: —
Relationship between two numerical variables
47.
In a bar graph, the width of the bars: —
Is usually the same for all bars
48.
What is the primary purpose of Data Interpretation? —
To analyze and understand existing data
49.
If x^2 - 3x + 2 = 0 and y^2 - 5y + 6 = 0, what is the relationship between x and y? —
50.
Given 2x^2 + 7x + 3 = 0 and y^2 + 5y + 6 = 0, what is the relationship between x and y? —