While covering a distance of 37 km, a man noticed that after cycling for 1 hour 5 minutes, the distance covered by him was \( \frac{4}{3} \) of the remaining distance. What was his speed (in km/hr, rounded off to one decimal place)?
Marks in statistics of 12 students are x, 28, 35, 56, 78, 63, 65, 81, 79, 83, 80, y, where x and y are the lowest and highest marks, respectively. If the range and average of the marks are 70 and 64, respectively, then the ordered pair (x, y) is:
Sachin bought the first pen for ₹630 and the second pen for ₹722, respectively. He sells the first pen at 70% of the profit but the buyer bargains for the price, and he has to offer a 9% discount and the second pen at 71% of the profit. Find the total profit he had in this transaction (correct to two decimal places).
B. First effective antibiotic against bacterial infections
30.
This question is based on the words given below.
(Left) ACT BUS CAR DAD (Right)
In each of the words, each vowel is changed to the letter immediately following it in the English alphabetical order and each consonant is changed to the letter immediately preceding in the English alphabetical order. In how many letter clusters thus formed, will no vowel appear?
