If p – 2q = 4, then the value of p³ – 8q³ – 24pq – 64 is :

What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x+5y-12=0, x+y=3 and y = 0?

Babulal can do a work in 36 days while Rajesh can do the same in 48 days. If Babulal  work for ‘x’ days while Rajesh work for ‘x+2’ days then one-third of the work is complete. Find the value of x.

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.

In a ∆ ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ=PQ and QC=QR. If ∠BAC = 75⁰, what is the measure of ∠PQR (in degress)?

Directions: The bar diagram given below shows the productions (in the unit of thousand pieces) of three types of biscuits by a company in the five consecutive years. Study the diagram and answer the following questions.

The production of all the three types of biscuits was maximum in the year 

Directions: The table given here shows the production of five types of cars by a company in the year 1989 to 1994. Study the table and answer questions.

In which year the total production of cars of types P and Q together was equal to the total production of cars of types R and S together?

On a sum Rina earn a interest of Rs. 1519 at S.I. in 7 years at 7% p.a. Find the sum.