Quantitative Aptitude
Study the given graph and answer the following question.
The number of lecturers recruited in state A in the year 2017 was what percentage of the number of lecturers recruited in state B in the year 2019? (Correct to 2 decimal places)
If x = 1 and \(
x^{2} + y^{2} + z^{2} = xy + yz + zx
\) then what is the value of \(
\frac{10x^{4} + 5y^{4} + 7z^{4}}{13x^{2}y^{2} + 6y^{2}z^{2} + 3z^{2}x^{2}}
\)
A cap having marked price ₹90 is sold for ₹68. What is the percent rate of discount (correct up to two decimal places)?
What is the length of PR if AB = 18 cm. BC = 15 cm and
\[
\triangle ABC \sim \triangle QRP, \quad
\frac{ar(\triangle ABC)}{ar(\triangle QRP)} = \frac{9}{4}
\]
If x + (1/2x) = 3, then evaluate
\[
8x^{3} + \frac{1}{x^{3}}
\]
What is the value of
\[
\sqrt{\frac{1 + \sin A}{1 - \sin A}}
\]
The table given below shows the earnings of 2 persons on 5 different days.
| Days | Earnings P | Earnings Q |
| Monday | 105 | 150 |
| Tuesday | 96 | 110 |
| Wednesday | 65 | 122 |
| Thursday | 115 | 106 |
| Friday | 130 | 68 |
What is the ratio of total earnings of P to the total earnings of Q?
Five different companies A,B,C,D,E make robotic toys. The total number of robotics toys produced by these five companies is 8,00,000. The Cost of production of each robotic toy is ₹ 5000. The distribution of the total production is given in the following pie chart
What is the total cost of production of the given item by companies A and E together?