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Unit Test: Phect, Kritipur

Total questions: 20

Worksheet time: 22mins

Name
Class
Date
1.

 What is the derivative of ekx?What\ is\ the\ derivative\ of\ e^{kx}?  

a)

 k e kx k\ e\ ^{kx\ }  

b)

 ekxe^{kx}  

c)

 k exk\ e^x  

d)

 exe^x  

2.

What is the derivative of a constant, C?

a)

C

b)

1

c)

0

d)

cx

3.
Find the derivative of the given equation
f(x) = 1/x2
a)
1/2x
b)
-2x
c)
2x
d)
-2x-3
4.

A family of 3 plans to sit in the same row at a movie theater. How many ways can the family be seated in 3 seats?

a)

3

b)

6

c)

1

d)

4

5.

In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?

a)

84

b)

81

c)

504

d)

6

6.
∫ - sinx dx
a)
-cos x + C
b)
cos x + C
c)
tan x + C
d)
1/√1- x²
7.

 limx3  x+3x29 = ....\lim_{x\rightarrow-3}\ \ \frac{x+3}{x^2-9}\ =\ ....  

a)

0

b)

 6-6 

c)

6

d)

 16-\frac{1}{6}  

8.

What kind of correlation?

a)

Positive

b)

Negative

c)

No

d)

None of above

9.

What is the range for coefficient of correlation?

a)

0 to 1

b)

-1 to 1

c)

-1 to 0

d)

1 to 2

10.
What is the probability of flipping a coin and getting heads?
a)
1/2
b)
1/3
c)
1/4
d)
Never, Tails never fails.
11.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
12.
Find the 6th term in the expansion of (3x+2)8
a)
108864x5
b)
48384x3
c)
108864x3
d)
48384x5
13.
If you draw a random card from a standard deck of cards, how many possible outcomes?
a)
13
b)
26
c)
52
d)
54
14.
∫ 4 dx
a)
0
b)
4t + C
c)
4x + C
d)
2x2 + C
15.

 If XY = 1260, X  = 12.75 and  Y  =11.63, Cov(X, y)=?If\ \sum_{ }^{ }XY\ =\ 1260,\ \overline{X\ }\ =\ 12.75\ and\ \ \overline{Y\ }\ =11.63,\ Cov\left(X,\ y\right)=?  

a)

9.29

b)

10

c)

8.29

d)

11.2

16.

If r = 0.9 and n =10, what is the probable error of 'r'?

a)

0.54

b)

0.054

c)

0.0405

d)

0.405

17.

If a city has the population 12,000 on January 1st and 18,000 on December 30th, what is the mid-year population of a city?

a)

14,000

b)

15,000

c)

16,000

d)

15550

18.

Which of the following measurement scale denotes the rank order of the objects or the individuals?

a)

Nominal Scale

b)

Ordinal Scale

c)

Interval Scale

d)

Ratio Scale

19.

Find the mean of the numbers below:


4, 9, 7, 10, 5

a)

5

b)

6

c)

7

d)

8

20.
What is the derivative of xn?
a)
(n-1)xn
b)
nxn+1
c)
(n+1)xn-1
d)
nxn-1