Answer the following questions

In an exam of 100 marks, the average marks of a class of 40 students are 76. If the top 3 scorers of the class leave, the average score falls “down by 1. If the other two toppers except “the highest topper scored not more than 85. “then what is the minimum score the topper can score?

After seeing a policeman from a distance of 500 m, a thief starts running at a speed of 10 km/h. After noticing, the policeman chases immediately with a speed of 12 km h, and the thief is caught. The distance run by the policeman is:

What is the simplified form the expression (1+x)(1+x²)(1+x⁴)(1+x⁸)(1-x)?

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. 2x + 3y = 52
II. 5x – 2y = 16

Twenty-one time of a positive number is less than its square by 100. The value of the positive number is

Directions: Read the following data carefully and answer the questions given below:

There are 6300 students in Manipur University in the academic year 2020. The ratio of the boys to the girls in the University is 5 : 4. All the students are enrolled in different indoor activities (Chess, Carom, Debating, Painting, and Quiz) and one student is enrolled in only one indoor activity. The number of boys enrolled in the Painting is 621. The ratio of the number of boys who enrolled in Chess to the number of boys who enrolled in Carom is 5 : 3. 36% of the students are enrolled in Quiz. The number of boys enrolled in Debating is 25% of the total number of boys. The number of girls enrolled in Quiz is 640 which is 150 less than the number of girls enrolled in Carom. The number of girls enrolled in Chess is 186 more than the number of boys enrolled in the same activity. The total number of students enrolled in Painting is 816.

The total number of girls in Quiz is approximately what percent of the total number of students in Quiz?

The value of 4÷12 of [3÷4 of {(4-2) x 6÷2}] -2x6÷8+3 is:

In what ratio is the segment joining (-1,-12) and (3,4) divided by the x-axis?