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Mathematical and Statistical Techniques-II
1. ₹1000 is invested at 8% p.a. compound interest, what is accumulated value after 2 years
a. 1166
b. 1081
c. 1166.40
d. 1081.6
ANS: 1166.40
2. Abhishek took a loan of ₹ 50,000 with 10% interest per month, to be repayment in 3 months, what will be his EMI. (Given that 0.90913=0.75133)
a. 189523.8151
b. 1243
c. 1243.313297
d. 124335
ANS: 124335
3. An index number constructed to measure the relative change in the price of an item or a group of items is called
a. Quantity index number
b. volume index number
c. composite index number
d. price index number
ANS: price index number
4. Consumer's price index numbers are obtained by
a. Paasche's formula
b. Family Budget method formula
c. Marshal-Edgeworth formula
d. Fisher's ideal formula
ANS: Family Budget method formula
5. For 8 observations if Σxy = 1155, Σx=56 and Σy = 134 then what is the value of Cov(x,y)
a. 217
b. 568
c. -217
d. -7359.625
ANS: 217
6. For Poisson distribution with mean =0.5, P(X=1)
a. 1.5
b. 5
c. 3
d. 0.3
ANS: 0.3
7. for the given function f(x)=x2-1 what is the functional value f(0) and f(2)
a. f(0)=1 and f(2)=4
b. f(0)=0 and f(2)= 3
c. f(0)= -1 and f(2)= 3
d. f(0)= 0 and f(2)= 4
ANS: f(0)= -1 and f(2)= 3
8. for which of the following distribution: mean=mode=median
a. Binomial Distribution
b. Bernouli Distribution
c. Normal Distribution
d. Poisson Distribution
ANS: Normal Distribution
9. Given that cost of living index number for 2010 with 2008 as base is 150. if the income of a person is 15000in 2010 then what is his real income in this period
a. 100
b. 1000
c. 10000
d. 1
ANS: 10000
10. If Average cost function (ACF) is given by 2x2+3x then what is the Marginal cost function (MCF)
a. 2
b. 4x+3
c. 4
d. 2x+3
ANS: 4x+3
11. If byx= 0.5 , bxy= 0.75 then what is value of r
a. 0.6123
b. -0.375
c. 0.375
d. -0.6123
ANS: 0.6123
12. If coefficient of correlation r is lies between 0 to 1 then it is
a. perfectly positively corelated
b. negatively corelated
c. positively corelated
d. perfectly negatively corelated
ANS: positively corelated
13. If Covariance between x and y = 217, S.D.x=13.26 and S.D.y = 17.47then what is the value of Coefficient of correlation
a. 285.8967
b. -285.8967
c. -0.9367
d. 0.9367
ANS: 0.9367
14. If Laspeyer's price index number = 154 and paasche's price index number = 154.54 then what is Dorbish Bowelyprice index number
a. 154.27
b. 160
c. 154.29
d. 154
ANS: 154.27
15. If the value of any regression coefficient is zero then two variables are
a. dependent
b. correlation
c. qualitative
d. independent
ANS: independent
16. If total cost function is C= 100 + 10 x2 and total revenue is R = 600 + 6x then what is the profit
a. 100
b. 4
c. 25
d. 125
ANS: 125
17. In Bernoulli trials if experiment consisting n trial then n is
a. dependent
b. different
c. independent
d. same
ANS: independent
18. In how many years ₹9000 will amount to ₹ 9540 at 2% p.a. simple interest.
a. 2
b. 1
c. 4
d. 3
ANS: 3
19. In the regression equation y = 3x-5 what is slope and intercept value
a. slope= -3 and intercept= - 5
b. slope= 3 and intercept= -5
c. slope= 3 and intercept= 5
d. slope= -3 and intercept= 5
ANS: slope= 3 and intercept= -5
20. Let X be a random variable follows binomial distribution with parameter n=3 and p=0.5 then what is mean and variance of X.
a. mean=1.5 and Variance= 0.75
b. mean=1.5 and Variance= 0.78
c. mean=15 and Variance= 0.77
d. mean=15 and Variance= 76
ANS: mean=1.5 and Variance= 0.75
21. Let X be a random variable follows binomial distribution with parameter n, p then probability of X=x is given by
a. nCx Px qn-x
b. zn-p
c. nCx Px
d. P(X=x) = e-ppx/x!
ANS: nCx Px qn-x
22. Let z be standard normal variate, then what is the area to the right of z=1.8 if area between z=0 to z=1.8 is 0.284
a. -0.1
b. 0.216
c. 0.5
d. 1
ANS: 0.216
23. Mr.Joshi deposited 200000 at the end of every year for 5 years in a bank. The bank charges the rate as 8% p.a., compounded quarterly what is the effective rate of interest
a. 0.0824
b. 0.9224
c. 2.0824
d. 1.0824
ANS: 0.0824
24. Number of death due to cancer in a day that average number of deaths is 5, which distribution is applicable for this
a. Binomial Distribution
b. Bernouli Distribution
c. Normal Distribution
d. Poisson Distribution
ANS: Poisson Distribution
25. P(X=0) = e-mmx/x! where e-9=0.000123 what is value P(X=0) where mean of X is -9
a. 0
b. 0.5
c. 0.000123
d. 0.1
ANS: 0.000123
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