If a + b + c = 2, a² + b² + c² = 26 then the value of a³ + b³ + c³ – 3abc is

A circular wire of diameter 42 cm is folded in the shape of a rectangle whose sides are in the ratio 6 : 5 . Find the area enclosed by the rectangle. (Take π = 22/7 ) 

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 ratio of the number of boys enrolled in Carom to the number of girls enrolled in the same

A rectangle has an area 30 cm² and perimeter 26 cm. Its sides (in cm) are

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

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

Annual salary of Varun is 7.68 lac. In a month if he spends 12000 on his children, 1/13th of rest on food and 8000 in  mutual funds from his monthly salary, then find the monthly saving he is left with.

If a regular polygon has 16 sides, then what is the measure (in degrees) of its each interior angle?