For the following questions answer them individually
The average of eleven numbers is 54. The average of the first four numbers is 48 and that of the next four numbers is 25% more than the average of the first four. The ninth number is 8 greater than the $$11^{th}$$ number and the tenth number is 4 greater than the $$11^{th}$$ number. What is the average  of the $$9^{th}$$ and the $$10^{th}$$ numbers?
PQRS is a cyclic quadrilateral. If angle P is three times the angle R and angle S is five times the angle Q,then the sum of the angles Q and R is:
Sudha saves 15% of her income. If her expenditure increases by 20% and savings increase by 60%, then by what percent has her income increased?
If a + b + c = 2, $$a^2 + b^2 + c^2 = 26$$, then the value of $$a^3Â + b^3 + c^3Â - 3 abc$$ is:
The table shows the production of different types of cars (in thousands).
The total production of type B cars in 2015 and type C cars in 2013 is what percent more that the total production of type E cars in 2013 and 2014 ? (Correct to one decimal place)
If the data related to the production of type D cars is represented by a pie-chart, then the central angle of the sector representing the production of the cars in 2016 will be:
For the following questions answer them individually
If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x—7y) for the largest possible value of x, is:
The table shows the production of different types of cars (in thousands).
The ratio of the total production of type A cars in 2017 and type D cars in 2015 to the total production of type B and type E cars in 2013 is:
If $$\frac{\cos \theta}{1 - \sin \theta} + \frac{\cos \theta}{1 + \sin \theta} = 4, 0^\circ < \theta < 90^\circ$$, then the value of $$(\tan \theta + \cosec \theta)$$ is: