Quantitative Aptitude - Arithmetic Ability Questions

If a2+b2+c2=83and a+b+c=15 then the value of ab+bc+ca is

Find the unit place in 194102+294103

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?

If the edge of a cube is increased by 10%, then what will be the percentage increase in its volume ?

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

A solid cube has side 8 cm. It is cut along diagonals of top face to get 4 equal parts. What is the total surface area (in cm2) of each part?

A merchant marks the price of his articles 20% above the cost price. If he allows 20% discount, then what is the profit or loss percentage?

Two cycles start from a house with a speed of 24kmph at interval of 15 min. With how much more speed in kmph the woman coming from the opposite direction towards the house has to travel to meet the cycles at an interval of 10 minutes?