For the following questions answer them individually
$$\frac{9}{15}$$ of $$\frac{7}{3}$$ of a number is greater than $$\frac{7}{12}$$ of $$\frac{3}{5}$$ of the same number by 7. Find the number.
The addition of a rational number and its reciprocal is $$\frac{74}{35}$$. Calculate the number.
How many solutions does a pair of linear equations will have, if the equations are
7x+4y-16=0 and 14x+6y-32=0?
If $$(x+1)$$ is a factor of $$x^2 -7qx+12q=0$$, then find the possible values of $$q$$.
If the $$\angle A=\angle D$$ and $$\frac{AB}{DE}=\frac{AC}{DF}$$ then both triangles ABC and DEF is similar by which of the following criteria?
The chord of a circle is 10 cm in length and at a distance of $$\frac{10}{\sqrt3}$$cm from the centre. Calculate the angle subtended by the chord at the centre of a circle.
The length of a rectangular plot is increased by 60%. By how much percentage its breadth should be decreased so that total area remains same?
The sum of two numbers is 80 and their difference is 8. What is the ratio of the two numbers?
In what ratio must a mixture of 40% acid be mixed with that of 60% acid to get a mixture of 49% acid?
If the average of 46, x, 30, 36, 59, 82, 68 and 94 is 56.5, then what is the value of x?
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