Find the total number of Prime Factors of 720 ? 

If $$\sqrt { 3}=1.732$$ then the find the value of $${9+2{ \sqrt { 3}}}\over  \sqrt { 3}$$  

Sunil, Karim and Mohan are invested a certain amount in the ratio 1: 2: 3 and the ratio of investment at the end of year is 3 : 8: 18. Find the ratio of time for which they invested ?

By what least number should 4320 be multiplied so as to obtain a number which is perfect cube? 

Directions: The bar graph shows the results of an annual examination in a secondary school in a certain year. Answer the following four questions based on this chart.

The class in which the number of boys passed is nearest to the average number of girls passed per class, is 

Three men step off together from the same spot. Their steps measure 63 cm, 70 cm and 77 cm respectively. The minimum distance each should cover so that all can cover the distance in complete steps is 

If 3 + cos²θ= 3(cot²θ + Sin²θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?

The prices of two articles are in the ratio 3 : 2 respectively. The price of the first article is increased by 40% and that of the second article is decreased by x%. If the new ratio of both the articles is : 7 : 3 then what is the value of x?