Mathematics Quiz

In a test Chitra obtained 58.5 marks that was also equivalent to obtaining 78% marks. How many marks was the test out of?

• 85

• 65

• 75

• 80

Answer explanation

Chitra's 58.5 marks represent 78% of the total marks. To find the total, use the formula: Total Marks = Obtained Marks / Percentage = 58.5 / 0.78 = 75. Thus, the test was out of 75 marks.

In a class 5% of students are absent on some day. If the number of present students is 38, then what is the total number of students in the class that day?

• 40

• 50

• 33

• 45

Answer explanation

If 5% of students are absent, then 95% are present. Let the total number of students be x. 0.95x = 38. Solving for x gives x = 38 / 0.95 = 40. Thus, the total number of students in the class that day is 40.

Ram obtained 40% marks in an exam and failed by 20 marks. Aditya obtained 45% marks and that is 30 marks more than the passing marks. What is the percentage of passing marks?

• 38%

• 42%

• 43%

• 33%

Answer explanation

Let the passing marks be P. Ram scored 40% and failed by 20 marks: 0.4x = P - 20. Aditya scored 45% and is 30 marks above passing: 0.45x = P + 30. Solving these gives P = 42%, the correct answer.

Pranjoy obtained 272 marks in an exam, which was equal to get 64% marks. How many marks was the exam?

• 425

• 475

• 450

• 440

Answer explanation

To find the total marks, use the formula: Total Marks = Obtained Marks / Percentage. Here, Total Marks = 272 / 0.64 = 425. Thus, the exam was out of 425 marks.

The following table shows the results of the students participated in the exam. What is the percentage of the passed students?

• 40%

• 60%

• 50%

• 30%

Answer explanation

To find the percentage of passed students, divide the number of students who passed by the total number of students and multiply by 100. If 60 out of 100 students passed, the percentage is 60%, making the correct answer 60%.

A candidate obtains 20% marks and fails by 35 marks, while another candidate obtains 50% marks, which is 32 more than the passing marks. What are the maximum marks of the exam?

• 250

• 670

• 450

• 500

Answer explanation

Let the maximum marks be x. The passing marks are p. From the first candidate: 0.2x = p - 35. From the second candidate: 0.5x = p + 32. Solving these gives x = 670, which is the maximum marks.

Durba got 70% marks in an exam. He obtained 20 out of 25 marks in another exam. If his total score is 78% then what were the maximum marks of the first exam?

• 7.6

• 6.25

• 7.25

• 6

Answer explanation

Let the maximum marks of the first exam be x. Durba's total score is 0.78(x + 25) = 0.7x + 20. Solving gives x = 6.25. Thus, the maximum marks of the first exam are 6.25.

A student had got few marks from maximum marks probably. These marks were 75% as %. If one more question would be added of one mark in the exam then his obtained marks percentage would have 76%. What were the initial maximum marks of the exam?

• 24

• 25

• 20

• 19

Answer explanation

Let the maximum marks be x. The student scored 0.75x. Adding one mark gives (0.75x)/(x+1) = 0.76. Solving, we find x = 24. Thus, the initial maximum marks of the exam were 24.

The minimum passing marks in an exam are 38%. If maximum marks are 750, then how many marks a student need to pass the exam?

• 285

• 304

• 323

• 266

Answer explanation

To find the minimum passing marks, calculate 38% of 750. This is 0.38 * 750 = 285. Therefore, a student needs at least 285 marks to pass the exam.

A exam was organized for class 10th students, 96% students passed and 50 failed. How many students were present in the exam?

• 1600

• 1400

• 1200

• 1250

Answer explanation

If 96% passed, then 4% failed. Given 50 students failed, we can set up the equation: 0.04x = 50. Solving for x gives x = 1250. Thus, 1250 students were present in the exam.