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Hi, can anyone please confirm me the ans to the following ques and also, hw to solve Q-1,2 and 4.
1. In a rectangular array (matrix) of distinct positive numbers, which has m rows and n columns, let x denote the largest of the smallest number in each column [i.e., x = maximum of (xj | j ε (1, 2, …; and xj is the smallest number in column A] and y the smallest of the largest number in each row [i.e., y = minimum of y, ] i.e. 1, 2 …; m and y, is the largest number in row 1]. Then one can infer.
(a) x > y (b) y > x (c) x =y (d) None of the above
2. Populations of two species A and B at time O are equal. If the instantaneous rates of growth of populations of species A and B are u and u + 1 respectively, u>0; then a’ time 1 the population of species B would be
(a) twice the population of species A
(b) log 10 times of the population of species A
(c) cu times the population of species A
(d) e times the population of species A
3.The proposition that public investment ‘crowds out’ private investment is based on the assumption that
(a) Public and private investment compete because they are invested in the same sector of the economy
(b) There already exists excess capacity in the public sector units
(c) There already exists excess capacity in the private sector units
(d) There is full employment of resources like labour and machinery
4. Assume that the saving propensity is 18%, incremental capital-output ratio is 5, population growth rate is 3%, there is no technical progress and there are constant returns to scale
(a) The warranted rate of growth is greater than the natural rate of growth
(b) The warranted rate of growth is lower than the natural rate of growth
(c) The economy will grow at 3% rate of growth
(d) The economy will grow at more than 3% rate of growth
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