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.

Find the number of girls who are enrolled in Debating.

Directions: In each of these questions, two equations (i) and (ii) are given, you have to solve both the equations and give answer accordingly.

(i) 6x² – 11x + 4 = 0
 (ii) 3y² – 5y + 2 = 0

Directions: Read the pie chart carefully and answer the following questions.

Note: No new employees joined the given banks of left the given banks from January 2015 to December 2015.

In December 2014, 4% of the candidates who applied for a job as Scale 1 officer were recruited in Bank A. If Bank A had 44 Scale 1 officers in 2014, what was the number of candidates who applied for the job?

Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

{(540.34)/(17.99)} ÷ {(29.99)/(449.89)} × {1/(89.78)} = ?

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² - 5x + 6 = 0

II. 2y² - 32y + 126 = 0

If $$P_1$$, $$P_2$$, and $$P_3$$ are three distinct prime numbers, then what is the least common multiple of $$P_1$$, $$P_2$$, and $$P_3$$?

Find the value of the given expression.

$$ \sqrt { 20-{ \sqrt { 20- \sqrt { 20- \sqrt { 20- .....∞}}}}} $$

Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

468.02 + 79.91 ÷ 5.01 = ?²