Quantitative Aptitude
Simplify the following expression.
S1 and S2 are two stations which are 195 km apart. A train starts from S1 at 4:00 pm and moves towards S2 at the speed of 65km/h. Another train starts from S2 at 5:00 pm and moves towards S1 at the speed of 35 km/h. At what time will the two trains meet?
There are 15 students in a class. Their average weight is 40 kg. When one student leaves, average weight is 39.5 kg. What is the weight of the student who left the class (where kg means kilogram)?
In ΔXYZ, right angled at Y, if sin X = \( \frac{1}{2} \), find value of cos X cos Z + sin X sin Z.
\(\dfrac{\sqrt{3}}{2}\)
\(\dfrac{\sqrt{3}}{4}\)
\(\dfrac{2}{\sqrt{3}}\)
\(\sqrt{3}\)
Rekha alone can complete work in 16 days, Bina alone in 12 days. Starting with Rekha, they work on alternate days. The Total work will be completed in:
\(12\dfrac{3}{4} \text{ days}\)
12 days
13 days
\(13\dfrac{3}{4} \text{ days}\)
A certain amount is lent at x% p.a. simple interest for 3 years. Instead, if the amount was lent at 3x% p.a. simple interest for 'y' more years, then the simple interest would have been seven times the earlier interest. What is the value of y ?
Study the given table and answer the question that follows.
The table gives the number of graduate students enrolled in 4 different colleges A, B, C, and Din a city over the years 2010 to 2014 and also the number of students who passed in the final examination during these years.
| College | 2010 | 2011 | 2012 | 2013 | 2014 | |||||
| Enrolled | Pass | Enrolled | Pass | Enrolled | Pass | Enrolled | Pass | Enrolled | Pass | |
| A | 680 | 620 | 600 | 560 | 720 | 700 | 800 | 760 | 750 | 700 |
| B | 550 | 530 | 450 | 420 | 600 | 550 | 650 | 620 | 700 | 680 |
| C | 480 | 450 | 520 | 500 | 580 | 550 | 620 | 600 | 720 | 700 |
| D | 710 | 650 | 750 | 710 | 680 | 640 | 720 | 690 | 740 | 710 |
Find the ratio of the average of students enrolled from college D to the average of students who passed from college D over all the years.