If C₁, C₂ be the centres of rwo circles and r₁, r₂ be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.

Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.

If (x + y)³ +8 (x - y)³ = (3x+ Ay)(3x²+ Bxy+ Cy²), then the value of A+B+C is:

A dealer marks a washing machine for ₹7500, and allows a discount of 6% on it. Find the selling price 

Direction: The line chart given below shows number of labourers (men and women) working in six different years. Study the data carefully and answer the following questions. 

The total number of Men working in all six years is how much more/less than total number of  Women working in all six years together? 

A and B together can complete a certain work in 20 days whereas B and C together can complete it in 24 days. If A is twice as good a work man as C, then in what time will B alone do 40% of the same work? 

The HCF of two numbers 12906 and 14818 is 478. Their LCM is

Directions : Given here is a pie chart showing the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions

If the price of gold in 2013 is Rs. 31,500 per 10 gram, then the price of gold in 2011 per 10 gram is