Quantitative Aptitude - Arithmetic Ability Questions

What is the value of sin6θ + cos6θ + 3 sin2θ cos2θ –1?

What is the value of Sin 30° + 2 Cos 30° ?

In a class of 66 students there are 33 girls. The average weight of these girls is 61 Kg and average weight of the full class is 66 kgs. What is the average weight of the boys of the class?

The average weight of P, Q and R is 45 kg. If the average weight of P and Q be 36.5 kg and that of Q and R be 52 kg, then what is the weight (in kgs) of Q?

If medians of a triangle have lengths 18 cm, 24 cm and 30 cm, then what is the area (in sq.cm) of the triangle?

The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

Vikram and Vivek can finish a work in 50 days. They worked together for 20 days and then left. How much work has been done by them?

The value of x13+x-13x23-1+x-23