Find the vertical asymptotes of \[ f(x)=\frac{-8}{x^2-4}. \]
A liquid form of penicillin manufactured by a pharmaceutical company is sold in bulk at a price of \(\$200\) per unit. If the total production cost (in dollars) for \(x\) units is \[ C(x)=500{,}000+80x+0.003x^2, \] and the production capacity of the firm is at most \(30{,}000\) units in a specified time, then how many units of penicillin must be manufactured and sold during that specified time to maximize the profit?
Let \[ \sum_{n=1}^{\infty} a_n = \sum_{n=1}^{\infty} (-1)^n \frac{\sin(nx)}{n^2} \] be a series. Then:
The following table gives the distribution of 100 families according to their daily expenditure:
If the mode of the distribution is \(24\), find the missing frequencies \(x\) and \(y\).
Arrange the National Product or Income estimates in the sequence they are calculated.• [(A).] Disposable Personal Income (DPI) • [(B).] National Income (NI) • [(C).] Gross National Product (GNP) • [(D).] Personal Income (PI) Choose the correct answer from the options given below:
Arrange the following crop insurance schemes of India in their chronological order. • [(A).] Pilot Crop Insurance Scheme • [(B).] Comprehensive Crop Insurance Scheme • [(C).] National Agricultural Insurance Scheme • [(D).] Pradhan Mantri Fasal Bima Yojana Choose the correct answer from the options given below:
Given below are two statements, one is labelled as Assertion (A) and other labelled as Reason (R). • [Assertion (A):] The efficiency of agricultural marketing is considered to be low. • [Reason (R):] There are a large number of intermediaries involved in the marketing of agricultural commodities. In light of the above statements, choose the correct answer from the options given below.
Arrange the following banks as per their year of establishment in ascending order that is from beginning to latest: • [(A).] Canara Bank • [(B).] Central Bank of India • [(C).] Punjab National Bank • [(D).] Industrial Development Bank of India Choose the correct answer from the options given below:
Arrange the following institutions as per descending order of year of establishment, that is, from latest (present) to oldest (past): • [(A).] NCUI • [(B).] NAFED • [(C).] NDDB • [(D).] NCDC Choose the correct answer from the options given below:
Arrange the steps in the process of farm financial management from beginning to end: • [(A).] Decision making • [(B).] Analysis • [(C).] Action • [(D).] Objective Choose the correct answer from the options given below:
Arrange the following countries in ascending order (from low to high) as per their present share in Asian Development Bank. • [(A).] China • [(B).] Australia • [(C).] India • [(D).] USA Choose the correct answer from the options given below:
Almost all states except which of the following(s) enacted laws for consolidation of holdings? • [(A).] Punjab • [(B).] Kerala • [(C).] Tamilnadu • [(D).] Uttar Pradesh Choose the correct answer from the options given below:
For a given production function: Y = 10 + 0.6X (Where Y is wheat output and X is fertilizer input), the coefficient 0.6 is called as: • [(A).] MPP • [(B).] Slope • [(C).] Elasticity of production • [(D).] APP Choose the correct answer from the options given below:
The coins are minted in mints owned by the Govt. of India: • [(A).] Mumbai • [(B).] Hyderabad • [(C).] Kolkata • [(D).] Noida Choose the correct answer from the options given below:
Given below are two statements:• [Statement (I):] The income generated through self-liquidating loans is sufficient to clear off the entire loan amount in the same accounting year. • [Statement (II):] Net income & net operating income can be calculated from balance sheet. In light of the above statements, choose the most appropriate answer from the options given below.
Given below are two statements:• [Statement (I):] Agricultural credit review committee, 1989 was set up by RBI under the chairmanship of A.M Khusro. • [Statement (II):] Repo rate is the rate at which RBI borrows money from banks. In light of the above statements, choose the most appropriate answer from the options given below.