In an election 20% of the voters did not vote and 120 votes were invalid. Winner got 200 votes more than this opponent and secured 41% votes of the total number of votes. What percentage of the votes defeated candidate got out of the total votes cast?

In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the midpoints of the sides PQ and PR respectively. What is the area (in cm²) of the shaded region?

Rahul plans to buy a scooter for his sister for which he saves Rs. 15625 at the start of every year for 3 year. If the rate of CI is 4% pa. then amount at which he plans to buy the scooter is (in Rs.)

In the given figure , ABCD is a square of side 6 cm. What is the value (in cm) of radius of circle?

What is the area (in cm²) of the circumcircle of a triangle whose sides are 6 cm, 8 cm and 10 cm respectively?

In a trapezium, one diagonal divides the other in the ratio 2 :9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

In the given figure, ABCD is a square inscribed in a circle of radius 4 cm. CD is produced till point E. From E a tangent is drawn to the circle at point B.  What is the length (in cm) of AE?

In triangle ABC, F is the centroid. If AB=11 cm, BC=14 cm and AC=7 cm, then what is the value (in cm) of EF?