For the following questions answer them individually
If $$(2x+3)^3+(x-8)^3+(x+13)^3=(2x+3)(3x-24)(x+13)$$, then what is the value of $$x$$ ?
If the seven digit number $$74x29y6$$ is divisible by $$72$$, then what will be the value of $$(2x + 3y)$$ ?
In an examination, 48% of candidates passed in science and 56% failed in mathematics. If 32% failed in both subjects, then what percent passed in both subjects?
PA and PB are two tangents from a point P outside a circle with centre O. If A and B are points on the circle such that $$\angle APB=80^\circ$$. then $$\angle OAB$$ is equal to:
$$\frac{5.75\times5.75\times5.75+3.25\times3.25\times3.25}{57.5\times57.5+32.5\times32.5-57.5\times32.5}$$ is equal to:
In the given histogram, the number of students whose height is in the class interval 175 - 180 is what percent less than the number of students whose height is in the class interval 160 - 165 ?
What is the ratio of the mean proportional between 8.1 and 3.6 and the third proportional of 2 and 3?
A sphere of radius 5 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?
A, B and C started a business by investing ₹ 55,000, ₹ 65,000 and ₹ 75.000 respectively. A is a working partner and gets 20% of the profit as working allowance and remaining is distributed in the proportion of their investment. If the money received by C is ₹27,000 what is the total profit?