STA-301 Quiz OnlineTest With Answers

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STA-301 Quiz OnlineTest

Sr. # Questions Answers Choice
1 If f is a twice differentiable function at stationary point xoan f'(xo) <0 then f has relative _______ At xo Minima Maxima None of these
2 If f is a twice differentiable function at stationary point xoan f'(xo) >0 then f has relative _______ At xo None of these Maxima Minima
3 If the geometric series a+ar+ar2+ar3.......+ark-1 which of the following is true for the given series converges Diverges Give no information
4 logb1/t =________ log<sub>b</sub>t 1-log<sub>b</sub>t 1+log<sub>b</sub>t -log<sub>b</sub>t
5 The lim x→a f(x)=___ where f(x)=k
The k is constant
 K+1 K+2 k
6 If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y ,we say that y is ____ of x relation function not a function not a relation
7 If a slope m of a nonvertical line is m=1 then the angle of inclination of the line is <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π /4</span> <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π /2</span> <span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">π /5</span>
8 If a function g is differentiable at a point x and function f is differentiable at a point g(x),then the __ is differentiable a point x. Composition (fog) Quotient f/g product f.g Sum (f+g)
9 According to the power rule of differentiation,if f(x)=xnwhere n is a real number then d/dx[xn]= x<sup>n-1</sup> nx<sup>n-1</sup> nx<sup>n+1</sup>
10 For a function f(x) to be continuous on interval (a,b) the function must be continuous At all point in (a,b) Only at point a,b At mid point of a and b None of these
11 a function f is ___ on a closed interval [a,b] ,then f has both a maximum and minimum value on [a,b] Continuous Discontinuous None of these
12 An object is displaced 1m by a force of 1N then the work done 2 1 0
13 The equation (x+4)2+(y+1)2=6 represent a circle having center at____ and radius (-4,1),undertoot 6 (-4,-11),undertoot 6 None of these
14 (x2-4)/(x-2) Natural domain is (-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,2</span>)U (2,+<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞</span>) (-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,2</span>) (-<span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞,0</span>) None of these
15 y=f(x) then the average rate of change of y with with respect to x over the interval [xo,x1] is the _______ joining the points (xo ,f(xo)) and (x1f(x1)) on the graph of f Slope of the secant line Slope of the tangent line Secent line none of these
16 Which of the following is the spring constant k if a spring constant whose natural length is 2m exerts a force of 3N when started 1m beyond its natural legth? 3 x 3 N/m 2 m
17 In alternating series test ,which one of the following condition must be satisfied lim k<span style="color: rgb(84, 84, 84); font-family: arial, sans-serif; font-size: small;">→</span><span style="color: rgb(34, 34, 34); font-family: arial, sans-serif; font-size: 16px;">∞ a<sub>k</sub>=1</span> a<sub>1</sub>&gt;a<sub>2</sub>&gt;a<sub>3...............&gt;a</sub>k a<sub>1</sub>&lt;a<sub>2</sub>&lt;a<sub>3...............&lt;a</sub>k
18 If the partial sum of the series is finite then the series will be Divergent Convergent Give no information
19 Which of the following option is true for the sequence an={1/n}n=1which of the following option is true for the sequence Increasing Decreasing Non increasing Non Decreasing
20 For a sequence {an} if the ration of successive terms an+1/ an<1 then the sequence is known as : increasing decreasing Non increasing non decreasing
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