\(\frac{1}{25a^4}\)
Quantitative Aptitude
On a circle of radius 7 units, PQ and QR are chords of length 7 units each. What is the length of the chord PR in units?
\(\frac{28}{\sqrt{3}}\)
\(\frac{7}{\sqrt{3}}\)
\(\frac{14}{\sqrt{3}}\)
\(\frac{21}{\sqrt{3}}\)
Refer the below table and answer the question that follows.
| Discipline | Boys | Girls |
| Engineering | 120 | 80 |
| Medical | 80 | 120 |
What percentage of students who chose medical are boys?
Find the gain percentage, given that Siddhi sold her scooter for ₹71,785 gaining \(\frac{1}{5}\)th of the selling price.
Find the value of \(\frac{\tan 55^\circ}{\cot 35^\circ}\)
From the given data, find the ratio of the cost prices of a shirt and a trouser.
| Item | Selling Price | Profit |
| Shirt | ₹1,200 | 20% |
| Trouser | ₹660 | 10% |
The mean proportional of 4a2 and x is \( \frac{1}{5a} \), where a is a positive number, then the value of x is ?
\(\frac{1}{100a^4}\)
\(\frac{1}{100a^2}\)
\(\frac{1}{25a^2}\)
\(\frac{1}{25a^4}\)