Question
A train with 16 compartments of equal length takes 32
seconds to cross a pole and 40 seconds to cross a 160-metre-long platform. If 8 compartments are removed, then how long would it take to cross a pole?Solution
Let the original length of the train = ‘d’ metres
Then, distance covered by the train in 32 seconds = ‘d’ metres
Distance covered by the train in 40 seconds = (d + 160) metres
So, distance covered in (40 – 32) = 8 seconds = (d + 160 – d) = 160 metres
So, speed of the train = 160 ÷ 8 = 20 m/s
So, original length of the train = 20 × 32 = 640 metres
After removing 8 compartments, length of the train = 640 × (8/16) = 320 metres
So, required time taken = 320 ÷ 20 = 16 seconds
If f(x) is continuous for all real values of x and f(x) takes on only rational values, then if f(1)=1, the value of f(0) is
The Stolper-Samuelson theorem is a result in international trade theory. According to this theorem, an increase in the price of a good will:
Of 10 computer chips, 4 are defective. What is the probability of selecting 3 without replacement, only one of which is defective?
For the following demand curve, Q=10P-2 , calculate the profit made by the monopolist when Marginal cost is Rs.2
For two correlated variables x and y, if coefficient of correlation between x and y is 0.8014, variance of x and y are 16 and 25 respectively....
If the total revenue from sales of X is given by the equation R=100Q-2Q^2. What is the point elasticity of demand when MR=20
What will be the value of P(not E) if P(E) = 0.07?
Assume that there are equal numbers of male and female students in a university. Of all male students, 10 per cent major in economics; and of ...
When oligopolistic firms co-operate and work as cartel, then output produced is ______ than perfect competition and ______ to Monopoly
Which of the following Herfindahl-Hirschman Index is most consistent with monopoly?
Relevant for Exams:
