Mathematics

1. Arithmetic – Number Systems:

   Question: What is the smallest prime number?

   a) 0

   b) 1

   c) 2

   d) 3

   Answer: c) 2

   Explanation: The smallest prime number is 2, as prime numbers are greater than 1 and have only two distinct natural number divisors: 1 and the number itself.

 

2. Arithmetic – Simplification:

   Question: What is the value of 15 + 6 ÷ 3?

   a) 17

   b) 19

   c) 21

   d) 23

   Answer: a) 17

   Explanation: Following the BODMAS rule, division comes before addition. So, 6 ÷ 3 = 2 and then 15 + 2 = 17.

 

3. Arithmetic – Average:

   Question: The average of three numbers is 20. What is their sum?

   a) 40

   b) 60

   c) 80

   d) 100

   Answer: b) 60

   Explanation: Average = Sum of numbers / Number of numbers. Therefore, Sum = Average × Number of numbers = 20 × 3 = 60.

 

4. Arithmetic – Percentage:

   Question: What is 20% of 150?

   a) 20

   b) 30

   c) 50

   d) 60

   Answer: b) 30

   Explanation: 20% of 150 is calculated as (20/100) × 150 = 30.

 

5. Arithmetic – Profit and Loss:

   Question: If a product is sold for $200 with a profit of 25%, what was the cost price?

   a) $150

   b) $160

   c) $175

   d) $180

   Answer: b) $160

   Explanation: Profit = Selling Price – Cost Price. Here, 25% profit on Cost Price means Selling Price is 125% of Cost Price. So, Cost Price = $200 / 1.25 = $160.

 

6. Arithmetic – Simple Interest:

   Question: What is the simple interest on $1000 for 3 years at 5% per annum?

   a) $150

   b) $200

   c) $250

   d) $300

   Answer: a) $150

   Explanation: Simple Interest = (Principal × Rate × Time) / 100. So, it is (1000 × 5 × 3) / 100 = $150.

 

7. Arithmetic – Time and Work:

   Question: If 5 workers can complete a job in 10 days, how many days will 10 workers take to complete the same job?

   a) 5 days

   b) 10 days

   c) 15 days

   d) 20 days

   Answer: a) 5 days

   Explanation: More workers will take less time inversely. If 5 workers take 10 days, 10 workers will take 10 × (5/10) = 5 days.

 

8. Arithmetic – Time, Speed, and Distance:

   Question: A car travels 300 km in 5 hours. What is its speed in km/h?

   a) 50 km/h

   b) 60 km/h

   c) 70 km/h

   d) 80 km/h

   Answer: b) 60 km/h

   Explanation: To calculate the speed of the car in kilometers per hour (km/h), you can use the formula:

Speed (km/h) = Distance (km) / Time (h)

In this scenario, the car travels a distance of 300 kilometers in a time of 5 hours. Now, let’s apply the formula:

Speed (km/h) = 300 km / 5 h

To find the speed, divide the distance (300 km) by the time (5 hours):

Speed (km/h) = 60 km/h

So, the car’s speed is 60 kilometers per hour. This means that for every hour of travel, the car covers a distance of 60 kilometers.

 

 

9. Algebra – Linear Equations:

   Question: If 2x + 3 = 11, what is the value of x?

   a) 2

   b) 3

   c) 4

   d) 5

   Answer: c) 4

   Explanation: 2x + 3 = 11. Subtracting 3 from both sides gives 2x = 8, so x = 8 / 2 = 4.

 

10. Geometry – Mensuration:

   Question: The area of a rectangle with length 10 cm and breadth 5 cm is:

   a) 15 cm²

   b) 25 cm²

   c) 50 cm²

   d) 75 cm²

   Answer: c) 50 cm²

   Explanation: Area of a rectangle is length × breadth. Therefore, area = 10 cm × 5 cm = 50 cm².

 

11. Algebra – Quadratic Equations:

   Question: What are the roots of the equation x^2 – 5x + 6 = 0?

   a) 2 and 3

   b) 1 and 4

   c) 1 and 6

   d) 3 and 4

   Answer: a) 2 and 3

   Explanation: The equation x^2 – 5x + 6 factors to (x – 2)(x – 3) = 0, so the roots are x = 2 and x = 3.

 

12. Geometry – Circles:

   Question: What is the circumference of a circle with a radius of 7 cm?

   a) 14 cm

   b) 22 cm

   c) 44 cm

   d) 88 cm

   Answer: c) 44 cm

   Explanation: The circumference of a circle is 2πr, where r is the radius. Hence, it’s 2 × π × 7 = 44 cm (approximately).

 

13. Data Interpretation – Tables:

   Question: If a table shows the production of cars in a factory from 2015 to 2020 and 2018 has the highest production of 5000 cars, what is the production in 2018?

   a) 3000 cars

   b) 4000 cars

   c) 5000 cars

   d) 6000 cars

   Answer: c) 5000 cars

   Explanation: The question itself states that the highest production, which is in 2018, is 5000 cars.

 

14. Probability – Set Theory:

   Question: In a set of 50 numbers, 28 are even, and 18 are odd. How many are both even and odd?

   a) 0

   b) 4

   c) 10

   d) 14

   Answer: a) 0

   Explanation: A number cannot be both even and odd. Hence, the correct answer is 0.

 

15. Arithmetic – Ratios:

   Question: If the ratio of A to B is 2:3, what is A if B is 15?

   a) 5

   b) 10

   c) 20

   d) 30

   Answer: b) 10

   Explanation: A/B = 2/3. If B is 15, then A = 2/3 × 15 = 10.

 

16. Algebra – Progressions:

   Question: What is the third term of an arithmetic progression where the first term is 5 and the common difference is 3?

   a) 8

   b) 11

   c) 14

   d) 17

   Answer: b) 11

   Explanation: The third term in an arithmetic progression is given by a + 2d, where a is the first term and d is the common difference. Therefore, it’s 5 + 2 × 3 = 11.

 

17. Geometry – Triangles:

   Question: What is the area of an equilateral triangle with a side of 6 cm?

   a) 15.59 cm²

   b) 18.00 cm²

   c) 20.78 cm²

   d) 23.38 cm²

   Answer: a) 15.59 cm²

   Explanation: The area of an equilateral triangle is (√3/4) × side^2. So, it’s (√3/4) × 6^2 ≈ 15.59 cm².

 

18. Data Interpretation – Line Graphs:

   Question: If a line graph shows the temperature over a week and the highest point is 35°C on Wednesday, what was the temperature on Wednesday?

   a) 25°C

   b) 30°C

   c) 35°C

   d) 40°C

   Answer: c) 35°C

   Explanation: The question specifies that the highest temperature shown for Wednesday is 35°C.

 

19. Arithmetic – Compound Interest:

   Question: What is the compound interest on $1000 for 2 years at an annual interest rate of 10%, compounded annually?

   a) $100

   b) $200

   c) $210

   d) $300

   Answer: c) $210

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal. Therefore, it’s 1000 × (1 + 0.10)^2 – 1000 = $210.

 

20. Geometry – Quadrilaterals:

   Question: What is the sum of the internal angles of a quadrilateral?

   a) 180 degrees

   b) 270 degrees

   c) 360 degrees

   d) 450 degrees

   Answer: c) 360 degrees

   Explanation: The sum of internal angles in any quadrilateral is always 360 degrees.

 

21. Arithmetic – Profit and Loss:

   Question: A shopkeeper sells an item at a loss of 10%. If the selling price is $90, what was the cost price?

   a) $95

   b) $100

   c) $105

   d) $110

   Answer: b) $100

   Explanation: Selling at a 10% loss means selling for 90% of the cost price. So, $90 is 90% of the cost price. Hence, Cost Price = $90 / 0.9 = $100.

 

22. Arithmetic – Percentage:

   Question: If 200 is 40% of a number, what is the number?

   a) 400

   b) 450

   c) 500

   d) 550

   Answer: c) 500

   Explanation: 40% of a number = 200. Hence, the number = 200 / 0.4 = 500.

 

23. Arithmetic – Time, Speed, and Distance:

   Question: If a train travels 360 km in 4 hours, what is its speed?

   a) 80 km/h

   b) 90 km/h

   c) 100 km/h

   d) 110 km/h

   Answer: b) 90 km/h

   Explanation: Speed = Distance / Time = 360 km / 4 hours = 90 km/h.

 

24. Algebra – Linear Equations:

   Question: If 3x + 4 = 19, what is the value of x?

   a) 3

   b) 4

   c) 5

   d) 6

   Answer: c) 5

   Explanation: 3x = 19 – 4, so 3x = 15, and x = 15 / 3 = 5.

 

25. Geometry – Basic Geometrical Concepts:

   Question: The perimeter of a square with a side of 5 cm is:

   a) 15 cm

   b) 20 cm

   c) 25 cm

   d) 30 cm

   Answer: b) 20 cm

   Explanation: Perimeter of a square = 4 × side = 4 × 5 cm = 20 cm.

 

26. Data Interpretation – Pie Charts:

   Question: In a pie chart showing the market share of four companies, if Company A’s sector is 90 degrees, what is its market share percentage?

   a) 15%

   b) 20%

   c) 25%

   d) 30%

   Answer: c) 25%

   Explanation: A 90-degree sector in a 360-degree pie chart represents 90/360 = 25% of the total.

 

27. Probability – Basic Concepts:

   Question: What is the probability of drawing an ace from a standard deck of 52 playing cards?

   a) 1/13

   b) 1/26

   c) 1/52

   d) 4/52

   Answer: a) 1/13

   Explanation: There are 4 aces in a deck of 52 cards, so the probability is 4/52 = 1/13.

 

28. Arithmetic – Simplification:

   Question: Simplify: 18 – (6 + 9) ÷ 3.

   a) 12

   b) 15

   c) 17

   d) 21

   Answer: b) 15

   Explanation: Following BODMAS, (6 + 9) ÷ 3 = 5. So, 18 – 5 = 15.

 

29. Algebra – Progressions:

   Question: In a geometric progression, if the first term is 2 and the common ratio is 3, what is the third term?

   a) 6

   b) 12

   c) 18

   d) 24

   Answer: c) 18

   Explanation: The third term = first term × common ratio^2 = 2 × 3^2 = 18.

 

30. Geometry – Mensuration:

   Question: What is the volume of a cube with edge length 4 cm?

   a) 48 cm³

   b) 56 cm³

   c) 64 cm³

   d) 72 cm³

   Answer: c) 64 cm³

   Explanation: Volume of a cube = edge length^3 = 4 cm × 4 cm × 4 cm = 64 cm³.

 

31. Arithmetic – Average:

   Question: The average of five numbers is 12. If one of the numbers is removed, the average becomes 10. What is the removed number?

   a) 20

   b) 22

   c) 24

   d) 26

   Answer: a) 20

   Explanation: 

To find the removed number, we can set up an equation. Let’s denote the sum of the five numbers as “S” and the removed number as “X.”

1. The average of the five numbers is 12, so we have:

(S) / 5 = 12

2. If one number is removed, the average becomes 10, which means there are now four numbers, so we have:

(S – X) / 4 = 10

Now, we can solve this system of equations. First, let’s find the value of “S” from the first equation:

(S) / 5 = 12

S = 5 * 12

S = 60

Now that we know the sum of the five numbers is 60, we can use this value in the second equation:

(S – X) / 4 = 10

(60 – X) / 4 = 10

Now, we can solve for “X”:

60 – X = 4 * 10

60 – X = 40

-X = 40 – 60

-X = -20

Now, let’s solve for “X” by multiplying both sides by -1:

X = 20

So, the removed number is 20.

 

 

32. Arithmetic – Simple Interest:

   Question: What is the simple interest on $2000 for 2 years at 4% per annum?

   a) $80

   b) $160

   c) $200

   d) $240

   Answer: b) $160

   Explanation: Simple Interest = (Principal × Rate × Time) / 100 = (2000 × 4 × 2) / 100 = $160.

 

33. Arithmetic – Ratios:

   Question: If the ratio of x to y is 5:7, what is x if y is 21?

   a) 10

   b) 15

   c) 20

   d) 25

   Answer: b) 15

   Explanation: x/y = 5/7. If y is 21, then x = 5/7 × 21 = 15.

 

34. Arithmetic – Compound Interest:

   Question: What is the compound interest on $500 for 3 years at an annual interest rate of 6%, compounded annually?

   a) $90

   b) $95.40

   c) $102.20

   d) $109.10

   Answer: d) $109.10

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 500 × (1 + 0.06)^3 – 500 ≈ $109.10.

 

35. Geometry – Triangles:

   Question: The length of the hypotenuse of a right-angled triangle with sides 3 cm and 4 cm is:

   a) 5 cm

   b) 6 cm

   c) 7 cm

   d) 8 cm

   Answer: a) 5 cm

   Explanation: By Pythagoras theorem, hypotenuse^2 = side1^2 + side2^2. So, hypotenuse = √(3^2 + 4^2) = √25 = 5 cm.

 

36. Data Interpretation – Line Graphs:

   Question: In a line graph showing the sales over six months, if the sales in January are the lowest at $2000, what are the January sales?

   a) $1500

   b) $2000

   c) $2500

   d) $3000

   Answer: b) $2000

   Explanation: The question states that January sales are the lowest at $2000.

 

37. Algebra – Basic Algebraic Identities:

   Question: If (x – 2)^2 = 16, what are the possible values of x?

   a) 2 and 6

   b) -2 and 2

   c) -2 and 6

   d) 4 and 6

   Answer: c) -2 and 6

   Explanation: (x – 2)^2 = 16 gives x – 2 = ±4. So, x = 2 ± 4, which means x = -2 or 6.

 

38. Arithmetic – Time and Work:

   Question: If 8 workers can complete a job in 6 days, how many days will 12 workers take to complete the same job?

   a) 3 days

   b) 4 days

   c) 5 days

   d) 6 days

   Answer: b) 4 days

   Explanation: More workers will take less time inversely. If 8 workers take 6 days, then 12 workers will take 6 × (8/12) = 4 days.

 

39. Geometry – Quadrilaterals:

   Question: What is the area of a rectangle with length 8 cm and width 5 cm?

   a) 30 cm²

   b) 40 cm²

   c) 50 cm²

   d) 60 cm²

   Answer: b) 40 cm²

   Explanation: Area of a rectangle = length × width = 8 cm × 5 cm = 40 cm².

 

40. Data Interpretation – Bar Graphs:

   Question: In a bar graph depicting monthly car sales, if March has the highest sales at 250 cars, what are the sales for March?

   a) 150 cars

   b) 200 cars

   c) 250 cars

   d) 300 cars

   Answer: c) 250 cars

   Explanation: As per the information provided, March has the highest sales with 250 cars.

 

41. Algebra – Quadratic Equations:

   Question: What is the sum of the roots of the equation x^2 – 7x + 12 = 0?

   a) 5

   b) 7

   c) 12

   d) 19

   Answer: b) 7

   Explanation: The sum of the roots of a quadratic equation ax^2 + bx + c = 0 is -b/a. Here, -(-7)/1 = 7.

 

42. Geometry – Circles:

   Question: What is the area of a circle with a diameter of 10 cm?

   a) 31.42 cm²

   b) 50 cm²

   c) 78.54 cm²

   d) 100 cm²

   Answer: c) 78.54 cm²

   Explanation: The radius is half the diameter, so 5 cm. Area = πr^2 = π × 5^2 ≈ 78.54 cm².

 

43. Probability – Basic Concepts:

   Question: What is the probability of rolling a 6 on a fair six-sided die?

   a) 1/6

   b) 1/3

   c) 1/2

   d) 2/3

   Answer: a) 1/6

   Explanation: There is one favorable outcome (rolling a 6) out of six possible outcomes.

 

44. Arithmetic – Profit and Loss:

   Question: If an item is sold for $150 at a profit of 20%, what was its cost price?

   a) $120

   b) $125

   c) $130

   d) $135

   Answer: b) $125

   Explanation: Selling at a 20% profit means the selling price is 120% of the cost price. Hence, Cost Price = $150 / 1.20 = $125.

 

45. Arithmetic – Simplification:

   Question: Simplify: 24 ÷ 4 × 2.

   a) 6

   b) 12

   c) 18

   d) 24

   Answer: b) 12

   Explanation: Following BODMAS, 24 ÷ 4 = 6, then 6 × 2 = 12.

 

46. Algebra – Linear Equations:

   Question: If 5x – 3 = 2x + 7, what is the value of x?

   a) 2

   b) 3

   c) 4

   d) 5

   Answer: b) 3

   Explanation: 5x – 2x = 7 + 3, so 3x = 10, and x = 10 / 3 = 3.33 (approximately).

 

47. Geometry – Triangles:

   Question: In a right-angled triangle, if one angle is 30 degrees, what is the other non-right angle?

   a) 30 degrees

   b) 45 degrees

   c) 60 degrees

   d) 90 degrees

   Answer: c) 60 degrees

   Explanation: The sum of angles in a triangle is 180 degrees. If one is 90 degrees (right angle) and another is 30 degrees, the third is 60 degrees.

 

48. Data Interpretation – Tables:

   Question: If a table shows sales over five years and sales in 2020 were the lowest at $10,000, what were the sales in 2020?

   a) $8,000

   b) $9,000

   c) $10,000

   d) $11,000

   Answer: c) $10,000

   Explanation: The question states that the lowest sales, which occurred in 2020, were $10,000.

 

49. Arithmetic – Ratios:

   Question: In a mixture of milk and water in a 7:3 ratio, how much water is there in 50 liters of the mixture?

   a) 10 liters

   b) 15 liters

   c) 20 liters

   d) 25 liters

   Answer: b) 15 liters

   Explanation: Water makes up 3 parts of the total 10 parts. So, it’s 50 × (3/10) = 15 liters.

 

50. Arithmetic – Time and Work:

   Question: If 6 workers can complete a job in 8 days, how many workers are needed to complete the job in 4 days?

   a) 8

   b) 10

   c) 12

   d) 14

   Answer: c) 12

   Explanation: Double the number of workers will halve the time needed. So, 6 × 2 = 12 workers are needed for 4 days.

 

51. Arithmetic – Compound Interest:

   Question: What is the compound interest on $600 for 2 years at an annual interest rate of 5%, compounded annually?

   a) $30

   b) $45

   c) $61.50

   d) $75

   Answer: c) $61.50

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 600 × (1 + 0.05)^2 – 600 ≈ $61.50.

 

52. Geometry – Quadrilaterals:

   Question: What is the perimeter of a rectangle with length 12 cm and width 8 cm?

   a) 30 cm

   b) 40 cm

   c) 50 cm

   d) 60 cm

   Answer: b) 40 cm

   Explanation: Perimeter of a rectangle = 2 × (length + width) = 2 × (12 cm + 8 cm) = 40 cm.

 

53. Data Interpretation – Pie Charts:

   Question: If a pie chart shows the distribution of a budget and education takes up 120 degrees, what percentage of the budget is allocated to education?

   a) 20%

   b) 25%

   c) 33%

   d) 50%

   Answer: c) 33%

   Explanation: A 120-degree sector in a 360-degree pie chart represents 120/360 = 33% of the total.

 

54. Arithmetic – Percentage:

   Question: If 25% of a number is 50, what is 75% of that number?

   a) 100

   b) 150

   c) 200

   d) 250

   Answer: b) 150

   Explanation: If 25% of the number is 50, the number is 50 / 0.25 = 200. Hence, 75% of 200 is 0.75 × 200 = 150.

 

55. Geometry – Mensuration:

   Question: What is the area of a triangle with a base of 10 cm and a height of 5 cm?

   a) 15 cm²

   b) 25 cm²

   c) 50 cm²

   d) 75 cm²

   Answer: b) 25 cm²

   Explanation: Area of a triangle = 1/2 × base × height = 1/2 × 10 cm × 5 cm = 25 cm².

 

56. Arithmetic – Profit and Loss:

   Question: A product is sold for $120 at a loss of 20%. What was its original price?

   a) $100

   b) $120

   c) $140

   d) $150

   Answer: d) $150

   Explanation: Selling at a 20% loss means the selling price is 80% of the original price. So, original price = $120 / 0.8 = $150.

 

57. Arithmetic – Time, Speed, and Distance:

   Question: A car covers a distance of 450 km in 5 hours. What is its average speed?

   a) 80 km/h

   b) 90 km/h

   c) 100 km/h

   d) 110 km/h

   Answer: b) 90 km/h

   Explanation: Average speed = Total distance / Total time = 450 km / 5 hours = 90 km/h.

 

58. Algebra – Linear Equations:

   Question: If 7x + 5 = 40, what is the value of x?

   a) 3

   b) 4

   c) 5

   d) 6

   Answer: c) 5

   Explanation: 7x = 40 – 5, so 7x = 35, and x = 35 / 7 = 5.

 

59. Geometry – Basic Geometrical Concepts:

   Question: A rectangle has a length of 10 cm and a width of 5 cm. What is its area?

   a) 15 cm²

   b) 25 cm²

   c) 50 cm²

   d) 100 cm²

   Answer: c) 50 cm²

   Explanation: Area of a rectangle = Length × Width = 10 cm × 5 cm = 50 cm².

 

60. Data Interpretation – Tables:

   Question: If a table shows the number of students in a school from 2016 to 2021 and the number in 2020 was the highest at 1200, what was the number in 2020?

   a) 1000

   b) 1100

   c) 1200

   d) 1300

   Answer: c) 1200

   Explanation: The question states that the highest number of students, which was in 2020, was 1200.

 

61. Probability – Basic Concepts:

   Question: What is the probability of drawing a heart from a standard deck of 52 playing cards?

   a) 1/4

   b) 1/13

   c) 1/26

   d) 1/52

   Answer: a) 1/4

   Explanation: There are 13 hearts in a deck of 52 cards, so the probability is 13/52 = 1/4.

 

62. Arithmetic – Simplification:

   Question: Simplify: 50 – (12 + 18) ÷ 5.

   a) 40

   b) 42

   c) 44

   d) 46

   Answer: c) 44

   Explanation: Following BODMAS, (12 + 18) ÷ 5 = 6. So, 50 – 6 = 44.

 

63. Algebra – Progressions:

   Question: In an arithmetic progression, if the first term is 3 and the common difference is 4, what is the fifth term?

   a) 15

   b) 19

   c) 23

   d) 27

   Answer: b) 19

   Explanation: The fifth term = first term + 4 × common difference = 3 + 4 × 4 = 19.

 

64. Geometry – Mensuration:

   Question: What is the volume of a cylinder with radius 3 cm and height 5 cm?

   a) 45 cm³

   b) 141.3 cm³

   c) 150 cm³

   d) 282.6 cm³

   Answer: d) 282.6 cm³

   Explanation: Volume of a cylinder = πr^2h = π × 3^2 × 5 ≈ 282.6 cm³.

 

65. Arithmetic – Average:

   Question: The average of four numbers is 25. If three of the numbers are 15, 30, and 35, what is the fourth number?

   a) 10

   b) 20

   c) 25

   d) 30

   Answer: b) 20

   Explanation: Total of four numbers = 4 × 25 = 100. The sum of three numbers = 15 + 30 + 35 = 80. So, the fourth number = 100 – 80 = 20.

 

66. Arithmetic – Simple Interest:

   Question: What is the simple interest on $1000 for 1 year at 6% per annum?

   a) $40

   b) $50

   c) $60

   d) $70

   Answer: c) $60

   Explanation: Simple Interest = (Principal × Rate × Time) / 100 = (1000 × 6 × 1) / 100 = $60.

 

67. Arithmetic – Ratios:

   Question: If the ratio of x to y is 4:5 and y is 20, what is x?

   a) 12

   b) 16

   c) 24

   d) 32

   Answer: b) 16

   Explanation: x/y = 4/5. If y is 20, then x = 4/5 × 20 = 16.

 

68. Arithmetic – Compound Interest:

   Question: What is the compound interest on $800 for 3 years at an annual interest rate of 7%, compounded annually?

   a) $152.32

   b) $165.24

   c) $172.96

   d) $189.12

   Answer: c) $172.96

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 800 × (1 + 0.07)^3 – 800 ≈ $172.96.

 

69. Geometry – Triangles:

   Question: What is the perimeter of an equilateral triangle with each side of 6 cm?

   a) 12 cm

   b) 18 cm

   c) 24 cm

   d) 30 cm

   Answer: b) 18 cm

   Explanation: Perimeter of an equilateral triangle = 3 × side = 3 × 6 cm = 18 cm.

 

70. Data Interpretation – Line Graphs:

   Question: In a line graph showing company profits over the years, if the profit for 2019 is $5000, what is the profit for 2019?

   a) $3000

   b) $4000

   c) $5000

   d) $6000

   Answer: c) $5000

   Explanation: The question states that the profit for the year 2019 is $5000.

 

71. Arithmetic – Time, Speed, and Distance:

   Question: If a cyclist covers a distance of 180 km in 6 hours, what is the speed of the cyclist?

   a) 25 km/h

   b) 30 km/h

   c) 35 km/h

   d) 40 km/h

   Answer: b) 30 km/h

   Explanation: Speed = Distance / Time = 180 km / 6 hours = 30 km/h.

 

72. Algebra – Quadratic Equations:

   Question: What is the discriminant of the equation x^2 – 6x + 8 = 0?

   a) 4

   b) 12

   c) 20

   d) 36

   Answer: a) 4

   Explanation: Discriminant = b^2 – 4ac. For the equation x^2 – 6x + 8, a = 1, b = -6, c = 8. So, discriminant = (-6)^2 – 4*1*8 = 36 – 32 = 4.

 

73. Geometry – Circles:

   Question: What is the diameter of a circle with a radius of 8 cm?

   a) 8 cm

   b) 12 cm

   c) 16 cm

   d) 24 cm

   Answer: c) 16 cm

   Explanation: Diameter = 2 × Radius = 2 × 8 cm = 16 cm.

 

74. Probability – Basic Concepts:

   Question: What is the probability of picking a red card from a standard deck of 52 playing cards?

   a) 1/4

   b) 1/2

   c) 3/4

   d) 1/52

   Answer: b) 1/2

   Explanation: There are 26 red cards in a deck of 52 cards, so the probability is 26/52 = 1/2.

 

75. Arithmetic – Profit and Loss:

   Question: If a book is sold for $80 at a profit of 60%, what was the cost price of the book?

   a) $40

   b) $50

   c) $60

   d) $70

   Answer: b) $50

   Explanation: Selling at a 60% profit means the selling price is 160% of the cost price. So, cost price = $80 / 1.60 = $50.

 

76. Arithmetic – Simplification:

   Question: Simplify: 36 ÷ 6 + 8.

   a) 10

   b) 12

   c) 14

   d) 16

   Answer: c) 14

   Explanation: Following BODMAS, 36 ÷ 6 = 6, then 6 + 8 = 14.

 

77. Algebra – Linear Equations:

   Question: If 4x – 2 = 10, what is the value of x?

   a) 2

   b) 3

   c) 4

   d) 5

   Answer: b) 3

   Explanation: 4x = 10 + 2, so 4x = 12, and x = 12 / 4 = 3.

 

78. Geometry – Triangles:

   Question: What is the area of a right triangle with base 6 cm and height 8 cm?

   a) 20 cm²

   b) 24 cm²

   c) 28 cm²

   d) 48 cm²

   Answer: b) 24 cm²

   Explanation: Area of a right triangle = 1/2 × base × height = 1/2 × 6 cm × 8 cm = 24 cm².

 

79. Data Interpretation – Bar Graphs:

   Question: In a bar graph showing sales of products in different months, if the sales in July are $3000, what are the sales in July?

   a) $2000

   b) $2500

   c) $3000

   d) $3500

   Answer: c) $3000

   Explanation: The question states that sales in July are $3000.

 

80. Arithmetic – Ratios:

   Question: In a 2:3 ratio mixture of acid and water, how much water is there in 40 liters of the mixture?

   a) 15 liters

   b) 20 liters

   c) 24 liters

   d) 30 liters

   Answer: c) 24 liters

   Explanation: Water is 3 parts of the total 5 parts. So, it’s 40 × (3/5) = 24 liters.

 

81. Arithmetic – Compound Interest:

   Question: What is the compound interest on $1000 for 2 years at an annual interest rate of 8%, compounded annually?

   a) $160

   b) $166.40

   c) $176

   d) $184.96

   Answer: d) $184.96

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 1000 × (1 + 0.08)^2 – 1000 ≈ $184.96.

 

82. Geometry – Quadrilaterals:

   Question: What is the area of a square with a side length of 12 cm?

   a) 72 cm²

   b) 144 cm²

   c) 156 cm²

   d) 169 cm²

   Answer: b) 144 cm²

   Explanation: Area of a square = side^2 = 12 cm × 12 cm = 144 cm².

 

83. Data Interpretation – Pie Charts:

   Question: If a pie chart shows the budget distribution and health sector occupies 72 degrees, what percentage of the budget is allocated to health?

   a) 10%

   b) 20%

   c) 30%

   d) 40%

   Answer: b) 20%

   Explanation: A 72-degree sector in a 360-degree pie chart represents 72/360 = 20% of the total.

 

84. Arithmetic – Percentage:

   Question: If 50% of a number is 30, what is 70% of that number?

   a) 21

   b) 35

   c) 42

   d) 49

   Answer: c) 42

   Explanation: If 50% of the number is 30, the number is 30 / 0.50 = 60. Hence, 70% of 60 is 0.70 × 60 = 42.

 

85. Geometry – Mensuration:

   Question: What is the circumference of a circle with a radius of 6 cm?

   a) 12 cm

   b) 18 cm

   c) 24 cm

   d) 37.68 cm

   Answer: d) 37.68 cm

   Explanation: Circumference of a circle = 2πr = 2 × π × 6 cm ≈ 37.68 cm.

 

86. Arithmetic – Time, Speed, and Distance:

   Question: If a train travels 240 km in 3 hours, what is its average speed?

   a) 60 km/h

   b) 70 km/h

   c) 80 km/h

   d) 90 km/h

   Answer: c) 80 km/h

   Explanation: Average speed = Total distance / Total time = 240 km / 3 hours = 80 km/h.

 

87. Algebra – Quadratic Equations:

   Question: What are the roots of the equation x^2 – 4x + 3 = 0?

   a) 1 and 2

   b) 1 and 3

   c) 2 and 3

   d) 3 and 4

   Answer: a) 1 and 2

   Explanation: The equation factors to (x – 1)(x – 2) = 0, so the roots are x = 1 and x = 2.

 

88. Geometry – Circles:

   Question: What is the radius of a circle with an area of 78.5 cm²?

   a) 3 cm

   b) 5 cm

   c) 7 cm

   d) 9 cm

   Answer: b) 5 cm

   Explanation: Area = πr^2. Solving for r, r = √(Area / π) ≈ √(78.5 / π) ≈ 5 cm.

 

89. Probability – Basic Concepts:

   Question: What is the probability of drawing a king from a standard deck of 52 playing cards?

   a) 1/13

   b) 1/26

   c) 1/52

   d) 4/52

   Answer: a) 1/13

   Explanation: There are 4 kings in a deck of 52 cards, so the probability is 4/52 = 1/13.

 

90. Arithmetic – Profit and Loss:

   Question: A retailer buys a product for $50 and sells it at a 40% profit. What is the selling price?

   a) $60

   b) $65

   c) $70

   d) $75

   Answer: c) $70

   Explanation: 40% profit on $50 is 0.40 × $50 = $20. So, the selling price is $50 + $20 = $70.

 

91. Arithmetic – Simplification:

   Question: Simplify: 49 ÷ 7 × 3.

   a) 14

   b) 21

   c) 28

   d) 35

   Answer: b) 21

   Explanation: Following BODMAS, 49 ÷ 7 = 7, then 7 × 3 = 21.

 

92. Algebra – Linear Equations:

   Question: If 9x + 6 = 60, what is the value of x?

   a) 4

   b) 5

   c) 6

   d) 7

   Answer: c) 6

   Explanation: 9x = 60 – 6, so 9x = 54, and x = 54 / 9 = 6.

 

93. Geometry – Triangles:

   Question: In an isosceles triangle with two sides of 8 cm each, what is the length of the base if the perimeter is 24 cm?

   a) 4 cm

   b) 6 cm

   c) 8 cm

   d) 10 cm

   Answer: c) 8 cm

   Explanation: Perimeter = sum of all sides. So, base = 24 cm – (8 cm + 8 cm) = 8 cm.

 

94. Data Interpretation – Bar Graphs:

   Question: In a bar graph showing annual rainfall, if the rainfall in 2019 was 200 mm, what was the rainfall in 2019?

   a) 150 mm

   b) 175 mm

   c) 200 mm

   d) 225 mm

   Answer: c) 200 mm

   Explanation: The question states that rainfall in 2019 was 200 mm.

 

95. Arithmetic – Ratios:

   Question: If the ratio of sugar to flour in a recipe is 1:4, how much flour is needed if 3 kg of sugar are used?

   a) 6 kg

   b) 9 kg

   c) 12 kg

   d) 15 kg

   Answer: c) 12 kg

   Explanation: If 1 kg of sugar corresponds to 4 kg of flour, then 3 kg of sugar corresponds to 3 × 4 kg = 12 kg of flour.

 

96. Arithmetic – Compound Interest:

   Question: What is the compound interest on $1200 for 2 years at an annual interest rate of 10%, compounded annually?

   a) $120

   b) $132

   c) $240

   d) $252

   Answer: d) $252

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 1200 × (1 + 0.10)^2 – 1200 = $252.

 

97. Geometry – Quadrilaterals:

   Question: What is the area of a parallelogram with base 10 cm and height 5 cm?

   a) 25 cm²

   b) 50 cm²

   c) 75 cm²

   d) 100 cm²

   Answer: b) 50 cm²

   Explanation: Area of a parallelogram = base × height = 10 cm × 5 cm = 50 cm².

 

98. Data Interpretation – Pie Charts:

   Question: If a pie chart shows the distribution of expenses and the rent sector occupies 54 degrees, what percentage of the expenses is allocated to rent?

   a) 10%

   b) 15%

   c) 20%

   d) 25%

   Answer: b) 15%

   Explanation: A 54-degree sector in a 360-degree pie chart represents 54/360 = 15% of the total.

 

99. Arithmetic – Percentage:

   Question: If 60% of a number is 180, what is 80% of that number?

   a) 210

   b) 240

   c) 270

   d) 300

   Answer: b) 240

   Explanation: If 60% of the number is 180, the number is 180 / 0.60 = 300. Hence, 80% of 300 is 0.80 × 300 = 240.

 

100. Geometry – Mensuration:

   Question: What is the volume of a sphere with a radius of 4 cm?

   a) 33.51 cm³

   b) 67.02 cm³

   c) 134.04 cm³

   d) 268.08 cm³

   Answer: b) 67.02 cm³

   Explanation: Volume of a sphere = 4/3 πr^3 = 4/3 × π × 4^3 ≈ 67.02 cm³.

 

101. Arithmetic – Profit and Loss:

   Question: A shopkeeper buys a product for $200 and sells it at a 25% profit. What is the selling price?

   a) $225

   b) $240

   c) $250

   d) $275

   Answer: c) $250

   Explanation: 25% profit on $200 is 0.25 × $200 = $50. So, the selling price is $200 + $50 = $250.

 

102. Arithmetic – Time, Speed, and Distance:

   Question: A person walks at a speed of 4 km/h for 2 hours. How much distance is covered?

   a) 6 km

   b) 8 km

   c) 10 km

   d) 12 km

   Answer: b) 8 km

   Explanation: Distance = Speed × Time = 4 km/h × 2 hours = 8 km.

 

103. Algebra – Linear Equations:

   Question: If 2x + 3 = 17, what is the value of x?

   a) 5

   b) 6

   c) 7

   d) 8

   Answer: c) 7

   Explanation: 2x = 17 – 3, so 2x = 14, and x = 14 / 2 = 7.

 

104. Geometry – Circles:

   Question: What is the circumference of a circle with a radius of 7 cm?

   a) 14 cm

   b) 22 cm

   c) 44 cm

   d) 88 cm

   Answer: c) 44 cm

   Explanation: Circumference = 2πr = 2 × π × 7 cm ≈ 44 cm.

 

105. Probability – Basic Concepts:

   Question: What is the probability of getting a head when flipping a fair coin?

   a) 1/4

   b) 1/3

   c) 1/2

   d) 2/3

   Answer: c) 1/2

   Explanation: There are two equally likely outcomes, and getting a head is one of them. So, the probability is 1/2.

 

106. Arithmetic – Simplification:

   Question: Simplify: 18 + (9 – 6) × 2.

   a) 24

   b) 26

   c) 28

   d) 30

   Answer: a) 24

   Explanation: Following BODMAS, 9 – 6 = 3, then 3 × 2 = 6, and 18 + 6 = 24.

 

107. Algebra – Quadratic Equations:

   Question: What is the discriminant of the equation x^2 – 8x + 15 = 0?

   a) 4

   b) 16

   c) 64

   d) 256

   Answer: a) 4

   Explanation: Discriminant = b^2 – 4ac. Here, a = 1, b = -8, c = 15. So, discriminant = (-8)^2 – 4*1*15 = 64 – 60 = 4.

 

108. Geometry – Triangles:

   Question: What is the length of the hypotenuse of a right-angled triangle with sides of 9 cm and 12 cm?

   a) 15 cm

   b) 18 cm

   c) 21 cm

   d) 24 cm

   Answer: a) 15 cm

   Explanation: By Pythagoras theorem, hypotenuse^2 = 9^2 + 12^2. So, hypotenuse = √(81 + 144) = √225 = 15 cm.

 

109. Data Interpretation – Bar Graphs:

   Question: In a bar graph showing the number of books sold each month, if 800 books were sold in December, how many books were sold in December?

   a) 600

   b) 700

   c) 800

   d) 900

   Answer: c) 800

   Explanation: The question states that 800 books were sold in December.

 

110. Arithmetic – Ratios:

   Question: If the ratio of boys to girls in a class is 3:2 and there are 30 boys, how many girls are there?

   a) 15

   b) 20

   c) 25

   d) 30

   Answer: b) 20

   Explanation: The number of girls is 2/3 of the number of boys. So, it’s 2/3 × 30 = 20 girls.

 

111. Arithmetic – Compound Interest:

   Question: What is the compound interest on $1500 for 2 years at an annual interest rate of 6%, compounded annually?

   a) $90

   b) $180

   c) $189

   d) $198

   Answer: c) $189

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 1500 × (1 + 0.06)^2 – 1500 ≈ $189.

 

112. Geometry – Quadrilaterals:

   Question: What is the area of a trapezium with parallel sides of 10 cm and 15 cm and a height of 6 cm?

   a) 30 cm²

   b) 60 cm²

   c) 75 cm²

   d) 150 cm²

   Answer: c) 75 cm²

   Explanation: Area = 1/2 × (sum of parallel sides) × height = 1/2 × (10 cm + 15 cm) × 6 cm = 75 cm².

 

113. Data Interpretation – Pie Charts:

   Question: If a pie chart shows the distribution of a company’s employees by department and the sales department occupies 72 degrees, what percentage of the employees work in sales?

   a) 10%

   b) 15%

   c) 20%

   d) 25%

   Answer: c) 20%

   Explanation: A 72-degree sector in a 360-degree pie chart represents 72/360 = 20% of the total.

 

114. Arithmetic – Percentage:

   Question: If 75% of a number is 150, what is 50% of that number?

   a) 75

   b) 100

   c) 125

   d) 150

   Answer: b) 100

   Explanation: If 75% of the number is 150, the number is 150 / 0.75 = 200. Hence, 50% of 200 is 0.50 × 200 = 100.

 

115. Geometry – Mensuration:

   Question: What is the area of a parallelogram with a base of 8 cm and a height of 5 cm?

   a) 20 cm²

   b) 30 cm²

   c) 40 cm²

   d) 50 cm²

   Answer: c) 40 cm²

   Explanation: Area of a parallelogram = base × height = 8 cm × 5 cm = 40 cm².

 

116. Arithmetic – Profit and Loss:

   Question: A mobile phone is sold for $300, making a 20% profit. What was the cost price of the phone?

   a) $240

   b) $250

   c) $260

   d) $275

   Answer: b) $250

   Explanation: If the selling price at 20% profit is $300, the cost price = $300 / 1.20 = $250.

 

117. Arithmetic – Time, Speed, and Distance:

   Question: A vehicle travels 150 km in 2.5 hours. What is its speed?

   a) 50 km/h

   b) 60 km/h

   c) 70 km/h

   d) 80 km/h

   Answer: b) 60 km/h

   Explanation: Speed = Distance / Time = 150 km / 2.5 hours = 60 km/h.

 

118. Algebra – Linear Equations:

   Question: If 3x – 7 = 11, what is the value of x?

   a) 4

   b) 5

   c) 6

   d) 7

   Answer: c) 6

   Explanation: 3x = 11 + 7, so 3x = 18, and x = 18 / 3 = 6.

 

119. Geometry – Circles:

   Question: What is the area of a circle with a circumference of 31.4 cm?

   a) 25 cm²

   b) 50 cm²

   c) 75 cm²

   d) 100 cm²

   Answer: b) 50 cm²

   Explanation: If the circumference is 31.4 cm, radius r = circumference / (2π) ≈ 5 cm. Area = πr^2 ≈ π × 5^2 ≈ 50 cm².

 

120. Probability – Basic Concepts:

   Question: What is the probability of rolling an odd number on a fair six-sided die?

   a) 1/6

   b) 1/3

   c) 1/2

   d) 2/3

   Answer: c) 1/2

   Explanation: There are three odd numbers (1, 3, 5) out of six possible outcomes on a die, so the probability is 3/6 = 1/2.

 

121. Arithmetic – Simplification:

   Question: Simplify: (25 – 5) ÷ 4.

   a) 3

   b) 4

   c) 5

   d) 6

   Answer: c) 5

   Explanation: Following BODMAS, 25 – 5 = 20, then 20 ÷ 4 = 5.

 

122. Algebra – Quadratic Equations:

   Question: What is the sum of the roots of the equation x^2 – 9x + 20 = 0?

   a) 5

   b) 9

   c) 11

   d) 20

   Answer: b) 9

   Explanation: The sum of the roots of a quadratic equation ax^2 + bx + c = 0 is -b/a. Here, -(-9)/1 = 9.

 

123. Geometry – Triangles:

   Question: What is the area of an equilateral triangle with a side of 6 cm?

   a) 9√3 cm²

   b) 12√3 cm²

   c) 15.59 cm²

   d) 18√3 cm²

   Answer: c) 15.59 cm²

   Explanation: The area of an equilateral triangle = (√3/4) × side^2 = (√3/4) × 6^2 ≈ 15.59 cm².

 

124. Data Interpretation – Bar Graphs:

   Question: In a bar graph depicting the number of cars sold each year, if 500 cars were sold in 2021, how many were sold in 2021?

   a) 400

   b) 450

   c) 500

   d) 550

   Answer: c) 500

   Explanation: The question states that 500 cars were sold in 2021.

 

125. Arithmetic – Ratios:

   Question: In a 7:3 ratio mixture of milk to water, how much milk is there in 40 liters of the mixture?

   a) 10 liters

   b) 15 liters

   c) 25 liters

   d) 28 liters

   Answer: d) 28 liters

   Explanation: Milk makes up 7 parts of the total 10 parts. So, it’s 40 × (7/10) = 28 liters.

 

126. Arithmetic – Compound Interest:

   Question: What is the compound interest on $2000 for 3 years at an annual interest rate of 5%, compounded annually?

   a) $150

   b) $300

   c) $315

   d) $331.25

   Answer: d) $331.25

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 2000 × (1 + 0.05)^3 – 2000 ≈ $331.25.

 

127. Geometry – Quadrilaterals:

   Question: What is the perimeter of a rectangle with length 14 cm and width 9 cm?

   a) 36 cm

   b) 42 cm

   c) 46 cm

   d) 52 cm

   Answer: c) 46 cm

   Explanation: Perimeter = 2 × (Length + Width) = 2 × (14 cm + 9 cm) = 46 cm.

 

128. Data Interpretation – Pie Charts:

   Question: If a pie chart shows the distribution of time spent on daily activities and sleeping occupies 120 degrees, what percentage of the day is spent sleeping?

   a) 25%

   b) 33%

   c) 50%

   d) 75%

   Answer: b) 33%

   Explanation: A 120-degree sector in a 360-degree pie chart represents 120/360 = 33% of the total.

 

129. Arithmetic – Percentage:

   Question: If 20% of a number is 40, what is 30% of that number?

   a) 50

   b) 60

   c) 70

   d) 80

   Answer: b) 60

   Explanation: If 20% of the number is 40, the number is 40 / 0.20 = 200. Hence, 30% of 200 is 0.30 × 200 = 60.

 

130. Geometry – Mensuration:

   Question: What is the area of a rhombus with diagonals of 8 cm and 6 cm?

   a) 12 cm²

   b) 24 cm²

   c) 36 cm²

   d) 48 cm²

   Answer: b) 24 cm²

   Explanation: Area of a rhombus = 1/2 × (product of diagonals) = 1/2 × 8 cm × 6 cm = 24 cm².

 

131. Arithmetic – Profit and Loss:

   Question: A computer is sold for $600, making a 20% loss. What was the original price of the computer?

   a) $720

   b) $750

   c) $800

   d) $850

   Answer: b) $750

   Explanation: If the selling price at 20% loss is $600, the original price = $600 / 0.80 = $750.

 

132. Arithmetic – Time, Speed, and Distance:

   Question: A bus travels 360 km in 6 hours. What is its average speed?

   a) 50 km/h

   b) 60 km/h

   c) 70 km/h

   d) 80 km/h

   Answer: b) 60 km/h

   Explanation: Average speed = Total distance / Total time = 360 km / 6 hours = 60 km/h.

 

133. Algebra – Linear Equations:

   Question: If 5x + 10 = 35, what is the value of x?

   a) 3

   b) 4

   c) 5

   d) 6

   Answer: c) 5

   Explanation: 5x = 35 – 10, so 5x = 25, and x = 25 / 5 = 5.

 

134. Geometry – Circles:

   Question: What is the radius of a circle with an area of 314 cm²?

   a) 5 cm

   b) 10 cm

   c) 15 cm

   d) 20 cm

   Answer: b) 10 cm

   Explanation: Area = πr^2. Solving for r, r = √(Area / π) ≈ √(314 / π) ≈ 10 cm.

 

135. Probability – Basic Concepts:

   Question: What is the probability of getting a number less than 4 when rolling a fair six-sided die?

   a) 1/2

   b) 1/3

   c) 1/6

   d) 1/4

   Answer: a) 1/2

   Explanation: There are three numbers less than 4 (1, 2, 3) out of six possible outcomes, so the probability is 3/6 = 1/2.

 

136. Arithmetic – Simplification:

   Question: Simplify: 42 ÷ 6 – 3.

   a) 4

   b) 5

   c) 6

   d) 7

   Answer: a) 4

   Explanation: Following BODMAS, 42 ÷ 6 = 7, then 7 – 3 = 4.

 

137. Algebra – Quadratic Equations:

   Question: What is the product of the roots of the equation x^2 – 5x + 6 = 0?

   a) 5

   b) 6

   c) 11

   d) 30

   Answer: b) 6

   Explanation: The product of the roots of a quadratic equation ax^2 + bx + c = 0 is c/a. Here, c/a = 6/1 = 6.

 

138. Geometry – Triangles:

   Question: What is the perimeter of a right-angled triangle with sides of 6 cm, 8 cm, and 10 cm?

   a) 18 cm

   b) 20 cm

   c) 24 cm

   d) 30 cm

   Answer: c) 24 cm

   Explanation: Perimeter = sum of all sides = 6 cm + 8 cm + 10 cm = 24 cm.

 

139. Data Interpretation – Bar Graphs:

   Question: In a bar graph showing monthly sales, if the sales in June are $4000, how much are the sales in June?

   a) $3000

   b) $3500

   c) $4000

   d) $4500

   Answer: c) $4000

   Explanation: The question states that sales in June are $4000.

 

140. Arithmetic – Ratios:

   Question: If the ratio of oil to vinegar in a salad dressing is 4:1, how much vinegar is needed for 20 ml of oil?

   a) 4 ml

   b) 5 ml

   c) 8 ml

   d) 16 ml

   Answer: b) 5 ml

   Explanation: To determine how much vinegar is needed for 20 ml of oil while maintaining a 4:1 ratio, you can use a proportion. 

First, establish the ratio: Oil / Vinegar = 4 / 1.

Since you have 20 ml of oil, the goal is to find out how much vinegar (denoted as “V”) corresponds to this quantity. 

So, the proportion becomes: 

20 ml / V = 4 / 1.

Now, to solve for V, you can cross-multiply:

20 * 1 = 4 * V.

This simplifies to:

20 = 4V.

To isolate V, divide both sides by 4:

V = 20 / 4,

which further simplifies to:

V = 5.

Therefore, you would need 5 ml of vinegar for every 20 ml of oil to maintain the 4:1 ratio in the salad dressing.

 

 

141. Arithmetic – Compound Interest:

   Question: What is the compound interest on $2500 for 2 years at an annual interest rate of 4%, compounded annually?

   a) $100

   b) $204

   c) $300

   d) $408

   Answer: b) $204

   Explanation: Compound Interest = Principal × (1 + Rate/100)^Time – Principal = 2500 × (1 + 0.04)^2 – 2500 ≈ $204.

 

142. Geometry – Quadrilaterals:

   Question: What is the area of a square with a side length of 16 cm?

   a) 128 cm²

   b) 196 cm²

   c) 256 cm²

   d) 324 cm²

   Answer: c) 256 cm²

   Explanation: Area of a square = side^2 = 16 cm × 16 cm = 256 cm².

 

143. Data Interpretation – Pie Charts:

   Question: If a pie chart shows a company’s revenue distribution and the technology sector occupies 90 degrees, what percentage of the revenue is from technology?

   a) 15%

   b) 25%

   c) 40%

   d) 50%

   Answer: b) 25%

   Explanation: A 90-degree sector in a 360-degree pie chart represents 90/360 = 25% of the total.

 

144. Arithmetic – Percentage:

   Question: If 40% of a number is 80, what is 60% of that number?

   a) 100

   b) 120

   c) 140

   d) 160

   Answer: b) 120

   Explanation: If 40% of the number is 80, the number is 80 / 0.40 = 200. Hence, 60% of 200 is 0.60 × 200 = 120.

 

145. Geometry – Mensuration:

   Question: What is the circumference of a circle with a radius of 14 cm?

   a) 28 cm

   b) 44 cm

   c) 88 cm

   d) 87.96 cm

   Answer: d) 87.96 cm

   Explanation: Circumference of a circle = 2πr = 2 × π × 14 cm ≈ 87.96 cm.

 

146. Arithmetic – Profit and Loss:

   Question: A book is bought for $80 and sold at a profit of 25%. What is the selling price?

   a) $90

   b) $95

   c) $100

   d) $105

   Answer: c) $100

   Explanation: 25% profit on $80 is 0.25 × $80 = $20. So, the selling price is $80 + $20 = $100.

 

147. Arithmetic – Time, Speed, and Distance:

   Question: A train covers a distance of 450 km in 5 hours. What is its speed?

   a) 80 km/h

   b) 90 km/h

   c) 100 km/h

   d) 110 km/h

   Answer: b) 90 km/h

   Explanation: Speed = Distance / Time = 450 km / 5 hours = 90 km/h.

 

148. Algebra – Linear Equations:

   Question: If 4x – 5 = 15, what is the value of x?

   a) 4

   b) 5

   c) 6

   d) 7

   Answer: b) 5

   Explanation: 4x = 15 + 5, so 4x = 20, and x = 20 / 4 = 5.

 

149. Geometry – Circles:

   Question: What is the diameter of a circle with an area of 50 cm²?

   a) 5 cm

   b) 7 cm

   c) 8 cm

   d) 10 cm

   Answer: c) 8 cm

   Explanation: Area = πr^2. Solving for r, r = √(Area / π) ≈ √(50 / π) ≈ 4 cm. Diameter = 2r = 8 cm.

 

150. Probability – Basic Concepts:

   Question: What is the probability of drawing a spade from a standard deck of 52 playing cards?

   a) 1/4

   b) 1/3

   c) 1/2

   d) 2/3

   Answer: a) 1/4

   Explanation: There are 13 spades in a deck of 52 cards, so the probability is 13/52 = 1/4.

 

151. Arithmetic – Simplification:

   Question: Simplify: 50 – (12 + 13) ÷ 5.

   a) 40

   b) 45

   c) 49

   d) 50

   Answer: b) 45

   Explanation: Following BODMAS, 12 + 13 = 25, then 25 ÷ 5 = 5, and 50 – 5 = 45.

 

152. Algebra – Quadratic Equations:

   Question: What is the discriminant of the equation x^2 – 4x + 3 = 0?

   a) 4

   b) 8

   c) 12

   d) 16

   Answer: a) 4

   Explanation: Discriminant = b^2 – 4ac. Here, a = 1, b = -4, c = 3. So, discriminant = (-4)^2 – 4*1*3 = 16 – 12 = 4.

 

153. Geometry – Triangles:

   Question: What is the length of the third side of a triangle with sides of 5 cm and 8 cm and a perimeter of 20 cm?

   a) 5 cm

   b) 6 cm

   c) 7 cm

   d) 8 cm

   Answer: c) 7 cm

   Explanation: Perimeter = sum of all sides. Third side = 20 cm – (5 cm + 8 cm) = 7 cm.

 

154. Data Interpretation – Bar Graphs:

   Question: In a bar graph depicting annual rainfall, if the rainfall in 2020 was 1000 mm, how much was the rainfall in 2020?

   a) 800 mm

   b) 900 mm

   c) 1000 mm

   d) 1100 mm

   Answer: c) 1000 mm

   Explanation: The question states that rainfall in 2020 was 1000 mm.