For the following questions answer them individually
If $$ (x^{3}-y^{3}):(x^{2}+xy+y^{2})$$=5:1 and  $$(x^{2}-y^{2}):(x-y)$$=7:1 then the value of 2x:3y equals
If x=$$a^{\frac{1}{2}}+a^{\frac{-1}{2}}$$, y=$$a^{\frac{1}{2}}-a^{\frac{-1}{2}}$$ then the value of$$ (x^{4}-x^{2}y^{2}-1)+(y^{4}-x^{2}y^{2}+1)$$
The marked price of a tape recorder is $12,600. A festival discount of 5%is allowed onit. Further for cash payment, a second discount of 2%is given. The cash payment, in rupees, that is to be made for buying it is
A man walks at the rate of Skm/hour, he misses a train by 7 minutes. However,if he walks at the rate of Gkm/hour, he reaches the station 5 minutes before the arrival of the train. The distance covered by him to reach the station is
If $$x-\sqrt{3}-\sqrt{2}=0$$ and $$y-\sqrt{3}+\sqrt{2}=0$$ then the value of $$(x^{3}-20\sqrt{2})-(y^{3}+2\sqrt{2})$$
The radil of two solid iron spheres are 1 cm and6 cm respectively. A hollow sphere is made bymelting the two s pheres. If the external radius of the hollow sphere is 3 cm, then its thickness (in cm) is
There is a wooden sphere of radius 6 $$\sqrt{3}$$ cm. The surface area of the largest possible cube cut outfrom the sphere will be
Aand B can do piece of work in 30 and 36 days respectively. They began the work together but A
leaves after some days and B finished the remaining work in 25 days. After how many days did A leave?
A sum of money placed at compound interest doubles itself in S years. It will amount to eight times Itself at the same rate of interest in
