Free Printable math class 11 (dipson gajurel)

1.

a)

4

b)

5

c)

6

d)

Does not exist

2.

a)

1

b)

2

c)

3

d)

non of the above

3.

a)

1/2

b)

1/3

c)

1/4

d)

1

4.

If LHL ≠ RHL, then the limit:

a)

Exists

b)

Is zero

c)

Is infinite

d)

Does not exist

5.

a)

1

b)

2

c)

3

d)

∞

6.

a)

0

b)

-1

c)

-2

d)

1/2

7.

a)

x

b)

2x

c)

3x

d)

4x

8.

a)

−sin x

b)

cosx

c)

sinx

d)

tanx

9.

Derivative of a constant is:

a)

0

b)

0.999999

c)

1

d)

16

10.

a)

e^x

b)

e

c)

e^2x

d)

1/2

11.

Derivative of tan x is:

a)

sec x

b)

sec²x

c)

tan x

d)

cosec x

12.

a)

Linear

b)

Constant

c)

Quadratic

d)

Exponential

13.

A set is a:

a)

Collection of objects

b)

Formula

c)

. Relation

d)

Function

14.

Empty set is denoted by:

a)

{0}

b)

{ }

c)

∅

d)

{∅}

15.

Union of sets A and B is:

a)

A ∩ B

b)

A ∪ B

c)

A - B

d)

~A

16.

Let $\lim_{x\rightarrow-2}f\left(x\right)=16$ . Find $\lim_{x\rightarrow-2}\sqrt{f\left(x\right)}$

a)

4

b)

-2

c)

2

d)

16

17.

Let $\lim_{x\rightarrow8}f\left(x\right)=3\ and\ \lim_{x\rightarrow8}g\left(x\right)=10.$ Find $\lim_{x\rightarrow8}\frac{f\left(x\right)}{\text{g(x)}}.$

a)

8

b)

10/3

c)

-7

d)

3/10

18.

Find $\lim_{x\rightarrow14}\sqrt{2}$ .

a)

$\sqrt{14}$

b)

$\sqrt{2}$

c)

2

d)

14

19.

Find $\lim_{x\rightarrow\frac{\text{1}}{\text{2}}}4x\left(x-\frac{\text{1}}{\text{4}}\right)$ .

a)

$\frac{\text{1}}{\text{2}}$

b)

1

c)

$\frac{\text{1}}{\text{8}}$

d)

$\frac{\text{3}}{\text{2}}$

20.

Find $\lim_{x\rightarrow0}\frac{x^3-6x+8}{x-2}$ .

a)

0

b)

4

c)

-4

d)

DNE

21.

Find $\lim_{x\rightarrow0}\frac{\text{2}}{\sqrt{3x+4}+2}$ .

a)

DNE

b)

1

c)

2

d)

$\frac{1}{2}$

22.

Find $\lim_{x\rightarrow0}\frac{\sqrt{1+x}-1}{\text{x}}$ .

a)

$\frac{1}{2}$

b)

$\frac{1}{4}$

c)

DNE

d)

0

23.

Find $\lim_{x\rightarrow4}\frac{x^2+3x-28}{x-4}$ .

a)

11

b)

0

c)

DNE

d)

3

24.

Find $\lim_{x\rightarrow2}\frac{\text{}\frac{x}{x+2}-2}{x+4}$ .

a)

4

b)

-4

c)

$\frac{1}{4}$

d)

$-\frac{1}{4}$

25.

Find $\lim_{x\rightarrow2}\frac{\frac{1}{x}-\frac{1}{2}}{x-2}$ .

a)

DNE

b)

$\frac{1}{4}$

c)

$\frac{1}{2}$

d)

$-\frac{1}{4}$

26.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

27.

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

a)

6

b)

4

c)

12

d)

even numbers

28.

A = {x : x is a letter in the word SEAT}

B = {x : x is a letter in the word TASTE}

Determine if these two sets are equal or equivalent.

a)

Not equal because seat has 4 letters and taste has 5 letters.

b)

Equivalent because they have the same letters

c)

Equal because each set has the same cardinality and the same letters.

29.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

30.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

31.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

32.

If

P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}

R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

a)

{4}

b)

{4, 6}

c)

{4, 6, 8}

d)

{1, 2, 3, 4, 6, 8}

33.

If

P = {0, 1, 2, 3, 4}, Q = {4, 5, 6, 7}

R = {3, 6, 9}, and S = {6, 12, 18}

Then what is (P ∪ Q) ∩ (S ∪ R)?

a)

{6}

b)

{3, 6}

c)

{4, 6}

d)

{1, 2, 3, 4, 5, 6, 7, 9, 12, 18}

34.

If

A = {1, 3, 5, 15},

B = {2, 3, 5, 7}

C = {2, 4, 6, 8}

then what is (A U B) ∩ C ?

a)

{1,3,5}

b)

{1,2,3}

c)

{2,3,5}

d)

{2}

35.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

36.

From the above Venn diagram, what is the set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

37.

From the above Venn diagram, what is the set (S ∪ T) ∩ V?

a)

{casey, drew, jade, glen}

b)

{alex, glen, hunter, jade}

c)

{casey, drew, glen}

d)

{drew, jade}

38.

From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."

a)

{casey, drew}

b)

{blair, erin, francis, glen, jade, ira}

c)

{blair, erin, francis, ira}

d)

{jade, glen, blair, erin, francis, ira}

39.

The image represents which of the following?

a)

intersection, "and"

b)

intersection, "or"

c)

union, "and"

d)

union, "or"

40.

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A U B

a)

{1, 3, 4}

b)

{1, 2, 3, 4, 6,8}

c)

{1, 2, 3, 4, 5, 6, 7, 8}

d)

{1, 2, 3, 4, 5, 6, 7}

41.

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A ∩ B

a)

{1, 3, 4}

b)

{1, 2, 3, 4, 6,8}

c)

{4}

d)

{2, 4}

42.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

43.

This symbol, ∧, means?

a)

and

b)

or

c)

not

d)

if, then

44.

This symbol, ∨, means?

a)

and

b)

or

c)

not

d)

if, then

45.

This symbol,→ , means?

a)

and

b)

or

c)

not

d)

if, then

46.

What type of logic is this table showing:

a)

AND

b)

OR

c)

IF, THEN

47.

Let p represent: Brent works this summer.

Let q represent: Brent takes a vacation.

What is the symbolic representation of this statement?

Therefore, Brent does not work this summer.

a)

∴~p

b)

∴~q

c)

~p

d)

~q

48.

If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.

Which of the following is a premise in the argument above?

a)

If Brent works this summer, he will have extra money

b)

Therefore, if Brent works this summer, he can go on vacation

c)

Brent works this summer

d)

Brent can go on vacation

49.

If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.

Which of the following is the conclusion of the argument above?

a)

If Brent works this summer, he will have extra money

b)

Therefore, if Brent works this summer, he can go on vacation

c)

Brent works this summer

d)

Brent can go on vacation

50.

If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.

Which of the following is a variable in the argument above?

a)

If Brent works this summer, he will have extra money

b)

Therefore, if Brent works this summer, he can go on vacation

c)

Brent works this summer

d)

If Brent has extra money, then he can go on vacation

51.

Is the argument represented in this truth table valid or invalid?

a)

Valid

b)

Invalid

52.

Is the argument represented in this truth table valid or invalid?

a)

Valid

b)

Invalid

53.

^∫2x+4dx

a)

x² + 4x + c

b)

2

c)

x² + 4x

d)

2x² + 4x + c

54.

∫cos(4x+5)dx

a)

-¼sin(4x + 5) + C

b)

4sin(4x + 5) + C

c)

¼sin(4x + 5) + C

d)

4cos(4x + 5) + C

55.

a)

62

b)

64/11

c)

56/3

d)

50/3

56.

a)

-4x⁶-5x²+C

b)

-24x⁶-10x²+C

c)

-4x⁵-5x+C

d)

-4x⁶-10+C

57.

a)

a. 24

b)

b. -8

c)

c. -10

d)

d. 22

58.

Which of the following is the anti-derivative of $\int2x\ dx$

a)

$x^2$

b)

$2x^2+c$

c)

$2x$

d)

None of the choices

59.

Which of the following is the anti-derivative of $\int\left(\sqrt[3]{x^5}-\frac{4}{x^5}+3x^2\right)dx$

a)

$\frac{3}{8}\sqrt[3]{x^8}+\frac{1}{x^4}+x^3+c$

b)

$\frac{3}{8}\sqrt[3]{x^8}-\frac{1}{x^4}+x^3+c$

c)

$\frac{3}{8}\sqrt[3]{x^8}+\frac{1}{x^4}-x^3+c$

d)

$\frac{3}{8}\sqrt[3]{x^8}+\frac{1}{x^3}+x^4+c$

60.

The process of finding the anti-derivative of a function

a)

Anti-differentiation

b)

Differentiation

c)

Limit of a function

d)

Anti-integration

61.

a)

a. 43

b)

b. 130/3

c)

c. 40

d)

d. 19/3

62.

If F(x) is an anti-derivative of f(x), then for every anti-derivative is in the form of ?

a)

$F\left(x\right)$

b)

$F\left(x\right)-C$

c)

$F\left(x\right)+c$

d)

$F\left(x+c\right)$

63.

Which of the following is the anti-derivative of $\int\left(\sqrt{x}-3\right)\ dx$

a)

$\frac{2}{3}\sqrt{x^3}-3x$

b)

$\frac{2}{3}\sqrt{x^3}-3x+c$

c)

$\frac{3}{2}\sqrt{x^3}-3x^{ }+c$

d)

$\frac{3}{2}\sqrt{x^3}+3x^{ }+c$

64.

Which of the following is the anti-derivative of $\int\left(-3x^5+2x\right)\ dx$

a)

$-\frac{1}{2}x^6+x^2+c$

b)

$-\frac{1}{2}x^6+x^3+c$

c)

$-2x^6+x^2+c$

d)

$-2x^6+\frac{x^2}{2}+c$

65.

_{Evaluate the integral}

a)

30/3

b)

31/3

c)

29/3

d)

32/3

66.

a)

b)

c)

d)

e)

67.

Evaluate the definite integral.

a)

3

b)

9/2

c)

9

d)

Not possible

68.

Which of the following is the anti-derivative of $\int\left(-\frac{3}{2}x^4-x^3+5x^2-2\right)\ dx$

a)

$-\frac{3}{10}x^5-\frac{x^4}{4}+\frac{5x^3}{3}-2x+c$

b)

$-\frac{3}{10}x^5-\frac{x^4}{4}+\frac{5x^3}{3}-2x$

c)

$-\frac{3}{10}x^5+\frac{x^4}{4}+\frac{5x^3}{3}-2x+c$

d)

$+\frac{3}{10}x^5-\frac{x^4}{4}+\frac{5x^3}{3}-2x+c$

69.

Evaluate the definite integral.

a)

8 pi

b)

16 pi

c)

128 pi

d)

Not possible

70.

a)

a. 43

b)

b. 130/3

c)

c. 40

d)

d. 19/3

71.

a)

12/3

b)

6.5

c)

5.5

d)

11/3

72.

a)

-8

b)

8

c)

-2

d)

2

73.

a)

A

b)

B

c)

C

d)

D

74.

Find the derivative of: f(x) = 4x⁴-3x³-9

a)

16x⁴-9x³

b)

16x⁴-9x³-0

c)

16x³-9x²-9

d)

16x³-9x²

75.

Find the derivative of: $f\left(x\right)\ =\ \sqrt{x}$

a)

$\frac{1}{2}x^2$

b)

$\frac{1}{2\sqrt{x}}$

c)

$\frac{1}{\sqrt{x}}$

d)

$\frac{1}{2x^2}$

76.

Find the derivative of $f\left(x\right)\ =\ \frac{1}{x^5}$

a)

$5x^4$

b)

$-5x^6$

c)

$-\frac{5}{x^6}$

d)

$\frac{1}{5x^6}$

77.

Find the derivative of $f\left(x\right)\ =\ \frac{1}{2\sqrt{x}}$

a)

$-\frac{1}{4\sqrt{x^3}}$

b)

$-\frac{1}{\sqrt{x^3}}$

c)

$-x^2$

d)

$-4x^2$

78.

Find the derivative of the given equation
f(x) = x³ + x² + 3

a)

3x² + 2x

b)

3x + 2x

c)

3x + 2x + 3

d)

x³ + x²

79.

Find the derivative of f(x) = 6x³⁰-2x¹⁵ + 4x³ - 2x + 1

a)

f'(x) = 18x²⁹+ 30x¹⁵ + 12x³

b)

f'(x) = 180x²⁹ - 30x¹⁴+ 12x²

c)

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² - 2

d)

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² +1

80.

Find the derivative of $f\left(x\right)\ =\ \left(3\ -\ \sqrt{x}\right)\left(3\ -\ \sqrt{x}\right)$

a)

$9-6\sqrt{x}-x$

b)

$-\frac{3}{\sqrt{x}}-1$

c)

$-\frac{1}{3\sqrt{x}}-1$

d)

$-\frac{1}{\sqrt{3x}}-1$

81.

Find the derivative of the following:

a)

a

b)

b

c)

c

d)

d

82.

Find the derivative of:

a)

a

b)

b

c)

c

d)

d

83.

Find the derivative of:

a)

a

b)

b

c)

c

d)

d

84.

If $f\left(x\right)=-3x^2+6x-4$ , determine $f'\left(x\right).$

a)

$-3x+6$

b)

$-6x+2$

c)

$-6x^2+6$

d)

$-6x+6$

85.

$f\left(x\right)=\left(2x+3\right)^2$

Calculate the derivative of $f\left(x\right).$

a)

$4x^2+9$

b)

$8x$

c)

$8x+12$

d)

$4x^2+12x+9$

86.

If $f\left(x\right)=\frac{3}{x^2}$ , calculate $f'\left(x\right)$ .

a)

$-\frac{6}{x^3}$

b)

$\frac{6}{x^3}$

c)

$\frac{6}{x}$

d)

$-\frac{6}{x}$

87.

What is the derivative of y = 2π?

a)

0

b)

2

c)

-2

d)

None of the above

88.

Differentiate y = $\frac{2x^2+x-3}{x}$

a)

y = 2x + 1 - 3x^-1

b)

y' = 4x + 1 - 1x^-2

c)

y' = 2 + 3x^-2

d)

y' = 4x + 1 - 3x^-2

89.

Find the derivative of y = 2x² (3x - 4)

a)

6x³ - 8x²

b)

18x² - 16x

c)

15x²- 6x

d)

6x - 4

90.

Find y' if y=e^3x

a)

e^3x

b)

e^2x

c)

0

d)

3e^3x

91.

Find the derivative of f(x) = e^3x+1

a)

3e^x

b)

3e^3x+1

c)

3x+1e^3x+1

d)

0

math class 11 (dipson gajurel)

Total questions: 91

Worksheet time: 2hrs 53mins

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