Quantitative Aptitude
If a cot θ + b cosec θ = p and b cot θ + a cosec θ = q then p² - q² is equal to _________.
What is the value of the given expression?
(a + b + c)² - a²- b² - c²
Study the given table and answer the question that follows.
The table shows classification of 100 students based on marks obtained by them in statistics and mathematics in an examination out of 50.
| Subject | 40 and above | 30 and above | 20 and above | 10 and above | 0 and above |
| Mathematics | 8 | 33 | 90 | 82 | 100 |
| Statistics | 5 | 22 | 60 | 87 | 100 |
If at least 60% marks in Mathematics are required for pursuing higher studies in Mathematics, then how many students will be eligible to pursue higher studies in Mathematics?
After allowing a discount of 15%, the value of a washing machine is ₹29,750. If no discount is allowed, then the shopkeeper gains 12%. The cost price of the washing machine is:
The following table gives the information of the number of students (in 1000s) placed in 5 different companies during 6 different years.
| Year |
Company
|
||||
| A | G | Y | T | F | |
| 2010 | 9.6 | 10.4 | 9.3 | 9.8 | 8.7 |
| 2011 | 10.4 | 12.6 | 7.2 | 13.8 | 6.2 |
| 2012 | 12.6 | 9.8 | 10.4 | 14.9 | 9.8 |
| 2013 | 16.8 | 15.4 | 11.4 | 16.3 | 11.3 |
| 2014 | 19.3 | 13.4 | 13.4 | 11.8 | 7.8 |
| 2015 | 18.7 | 16.7 | 12.7 | 15.7 | 13.7 |
What is the difference (in thousands) between the students placed in all companies in the year 2014 and 2012?
One quality of rice at ₹45 per kg is mixed with another quality at a certain rate in the ratio of 3:2. If the mixture so formed is worth ₹50 per kg, what is the rate per kg of the second quality of rice?