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1.z=2



2.z=3.1

For all even integral value of n, lim (x+1)^-n


n to ∞


Exist or not


True or false with full explanation



if two varieties are tested in 5 different locations for their yeld proformance in (q/ha) with the follo results.Find out which variety which is more consistent over the location by comparing their CV value?


Variety A -12,8,10,11,14


Variety B - 15,9,7,12,12

From a population of 700 plants, 500 plants are healthy, rest are unhealthy. For a sample size of 10 plants, calculate the probabilities that—(a) Exactly 3 are unhealthy (b) at least 3 plants are unhealthy (c) at most 3 plants are unhealthy (d) Exactly 3 are healthy (e) None healthy?

Calculate the mean and the variance of the discrete random variable X which can take only values 1, 2, and 3, given that P(1) = 10/33, P(2) = 1/3, and P(3) = 12/33.




P(X) X-P(X) X²P(X)


























Solve for the mean and the variance of the discrete random variable X which can take only the values 2, 4, 5 and 9, given that P(2) = 9/20, P(4) = 1/20, P(5) = 1/5 and P(9) = 3/10.



X P(X) X∙P(X) X2∙P(X)




























Test whether the series ∞Σn=0 1/(n^5+x^3) converges uniformly or not

Analyse the following transactions for Surprise Ltd. using the concept of Accounting Equation comprising of Assets, Liabilities and Equity 1.Commenced business with cash of ₹ 5,00,000. Purchased equipment for cash ₹ 2,00,000. 3. Purchased furniture worth ₹50,000 on credit from IndiMart. 4. Purchased raw materials for ₹25,000 against cash from XYZ Suppliers. 5. Deposited cash of ₹ 1,25,000 in the current account. 6. Sold goods for ₹75,000 and received a cheque against the same


12 students have appeared in the exam in which the top four will get a prize. How many possible ways are there to get the prize winners?

If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.


If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.


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