Solve: 12–[26–{2+5×(6–3)}]

The average of 5 numbers, arranged in a row, is 309. The average of the first two of these numbers is 431 and the average of the last two of these numbers is 231.5. What is the value of the number at the center of the row?

If $$ {x^2} -4x-1 $$ then the value of $$ {{x^6} -{x^4}+{x^2}-1}\over {x^3}$$ will be

If $$ x=\sqrt{\sqrt{5}+1\over {\sqrt{5}-1}}$$ then the value  of $$ {5x^2-5x-1}$$ will be:

PQR is an equilateral triangle whose side is 10 cm . What is the value (in cm) of the inradius of triangle PQR ?

Study the given graph and answer the question that follows.

If 60% of the total number of students obtaining 50 marks or more but less than 70 marks are girls and 55 % of the total number of students obtaining 70 marks or more but less than 90 marks are also girls. Then the total number of girls obtaining 50 marks or more but less than 90 marks is:

If the circumcenter of the triangle lies outside it, then the triangle is 

The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm²) of the equilateral triangle ?