Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?
Work = Total number of men × Total days M1D1/W1 = M2D2/W2 Let the efficiency of 1 man be M. And the efficiency of 1 woman is W. According to the question, 2 men and 7 women complete a work in 28 days = 6 men and 16 women complete the same work in 11 days ⇒ (2M + 7W) × 28 = (6M + 16W) × 11 ⇒ 56M + 196W = 66M + 176W ⇒ 10M = 20W ⇒ M = 2W 2 men and 7 women = 2M + 7W ⇒ 2 men and 7 women = 4W + 7W ⇒ 2 men and 7 women = 11W 5 men and 4 women = 5M + 4W ⇒ 5 men and 4 women = 10W + 4W ⇒ 5 men and 4 women = 14W M2D2/W2 = M2D2/W2 ⇒ 11W × 28 = 14W × D2 ⇒ D2 = 22 days ∴ 5 men and 4 women, working together, complete the same work in 22 days.
Given x=2y+4 and y=kx+6 are the lines of regression of x on y and y on x respectively. Find the value of k if value of r is 0.5.
If the correlation between x and y is 0.6 covariance is 27, variance of y is 25, then what is the variance of x?
What will be the probability of losing a game if the winning probability is 0.3?
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 ...
Which of the following statements is NOT CORRECT in the context of an Open Economy IS-LM Model under Floating Exchange Rate (with fixed price) and Perfe...
An employee has a basic pay of Rs. 12000 and a D.A. of 12% in 1997. If the employee should get a 5% rise in real income each year, what should be the DA...
If the elasticity of demand is -2 and price charged by the firm is Rs.10 and quantity sold is 15 units. What is the Lerner’s Index of Monopoly power?...
The primary deficit in a government budget will be zero, when _______
| List – I | At point A, inflation is equal to the underlying rate of inflation and output is at the level of output consistent with the equilibrium unemployment ra... Relevant for Exams:
×
×
|
