A part of a journey is covered in 37.5 minutes at 90 km/h and the remaining part in 14 minutes at 80 km/h. The total distance (in km) of the journey is:
\(78\dfrac{5}{12}\)
\(62\dfrac{11}{12}\)
\(74\dfrac{11}{12}\)
\(76\dfrac{5}{12}\)
20 students of a college went to a hotel. 19 of them spent ₹175 each on their meal and the 20th student spent ₹19 more than the average of all the 20. Find the total money spent by them.
Study the given pie chart carefully and answer the following question.
If scholarship has to be paid out of the donation fund, then what is the percentage of donation fund used for this purpose (rounded off to two decimal places)?
What is the value of x/y if
\(
\frac{X - 5Y}{X + 5Y} = \frac{7}{13}
\)
\( \frac{23}{7} \)
\( \frac{24}{9} \)
\( \frac{100}{7} \)
\( \frac{50}{3} \)
18 ÷ {(6 of 2 - 4)} × 5(6 - 3) = __________
\( \frac{153}{4} \)
\( \frac{145}{4} \)
\( \frac{135}{4} \)
\( \frac{154}{4} \)
In the given figure, if AD ⊥ BC, AC = 26 units, CD = 10 units, BC = 42 units, ∠DAC = x and ∠B = y, then the value of \( \frac{6}{cos x} \) - \( \frac{5}{cos y} \) + 8 tan y is:
\( \frac{15}{7} \) UNITS
\( \frac{16}{9} \) units
\( \frac{25}{4} \) units
\( \frac{13}{6} \) units
The area of the sector of a circle of radius 12 cm is 32π cm². Find the length of the corresponding arc of the sector.
\( \frac{10}{3} \) π cm
\( \frac{16}{3} \) π cm
\( \frac{8}{3} \) π cm
\( \frac{13}{3} \) π cm
The following table shows the scores of three attempts of Archery players in a tournament. The player scoring the highest average score was declared the best player. Who was the best player?
| Player | Score 1 | Score 2 | Score 3 |
| Angela | 62.50 | 65.00 | 64.50 |
| Maria | 69.05 | 70.00 | 67.52 |
| Sareena | 73.81 | 72.50 | 74.20 |
| Preeti | 74.30 | 75.00 | 77.50 |
| Deepika | 64.29 | 67.50 | 63.28 |