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Mathematics MCQs Quiz

Total questions: 84

Worksheet time: 42mins

Name
Class
Date
1.

SI on ₹800 at 5% for 3 years is:

a)

120

b)

100

c)

150

d)

200

2.

What is the amount on ₹2000 at 10% CI for 2 years?

a)

2420

b)

2200

c)

2400

d)

2310

3.

Difference between SI and CI on ₹5000 for 2 years at 5%?

a)

5

b)

10

c)

12.5

d)

25

4.

If the amount doubles in 10 years at SI, the rate is:

a)

5%

b)

10%

c)

7%

d)

12%

5.

CI on ₹1000 at 20% for 1 year (half-yearly):

a)

207

b)

200

c)

204

d)

220

6.

Solve: 2x + y = 7 and x – y = 1 → x = ?

a)

2

b)

3

c)

4

d)

1

7.

For equations to have no solution:

a)

a1/a2 = b1/b2 ≠ c1/c2

b)

a1/a2 ≠ b1/b2

c)

all equal

d)

c1/c2 = 1

8.

Solve: 3x – 2y = 4 and 6x – 4y = 8

a)

no solution

b)

one solution

c)

infinite solutions

d)

zero solution

9.

5P2 equals:

a)

10

b)

20

c)

30

d)

60

10.

In how many ways can 3 letters be selected from 6?

a)

20

b)

120

c)

60

d)

15

11.

10C1 =

a)

10

b)

9

c)

1

d)

0

12.

Number of 3-digit numbers using digits 1,2,3,4 (no repetition):

a)

24

b)

12

c)

16

d)

60

13.

General term of (a + b)ⁿ is:

a)

nCr aⁿ⁻ʳ bʳ

b)

a+ b

c)

rCn

d)

none

14.

Term independent of x in (x² + 1/x)⁶

a)

x⁶

b)

x⁰

c)

x⁴

d)

15.

lim x→0 sin x / x =

a)

0

b)

1

c)

d)

undefined

16.

lim x→0 (1 – cos x)/x²

a)

1

b)

1/2

c)

2

d)

0

17.

d/dx (x³) =

a)

b)

3x²

c)

3x

d)

6x

18.

d/dx (sin x) =

a)

cos x

b)

–cos x

c)

–sin x

d)

tan x

19.

d/dx (eˣ) =

a)

b)

1

c)

d)

0

20.

Derivative of constant is:

a)

1

b)

c

c)

0

d)

none

21.

n(A ∪ B) =

a)

n(A)+n(B)

b)

n(A)+n(B)-n(A∩B)

c)

n(A)-n(B)

d)

none

22.

If A={1,2,3}, B={3,4,5}, A∩B =

a)

{1,3}

b)

{3}

c)

{1}

d)

{2,4}

23.

A function must:

a)

assign multiple y to one x

b)

assign unique y to each x

c)

assign no y

d)

assign random

24.

Domain of √(x–4) is:

a)

x>4

b)

x<4

c)

x≥4

d)

x≤4

25.

Identity matrix has:

a)

all zeros

b)

1s on diagonal

c)

1s everywhere

d)

random numbers

26.

det |2 3; 4 5| =

a)

–2

b)

2

c)

10

d)

–10

27.

Matrix multiplication is:

a)

Commutative

b)

Not commutative

c)

Subtractive

d)

Identity only

28.

Probability of getting a head in one coin toss:

a)

0

b)

1

c)

1/2

d)

1/4

29.

Probability of drawing an Ace from 52 cards:

a)

1/52

b)

1/13

c)

4/52

d)

both b & c

30.

P(A') =

a)

1 – P(A)

b)

P(A)

c)

0

d)

P(A)/2

31.

Distance between (0,0) and (3,4):

a)

5

b)

7

c)

3

d)

4

32.

Midpoint of (2,4) and (6,8):

a)

(4,6)

b)

(8,12)

c)

(6,4)

d)

(3,3)

33.

Slope of line joining (1,2) and (3,6):

a)

3

b)

2

c)

4

d)

1

34.

Distance formula in 3D is:

a)

√(x²+y²)

b)

√(Δx²+Δy²+Δz²)

c)

x²+y²+z²

d)

none

35.

Direction cosines are:

a)

angles with axes

b)

lengths of axes

c)

types of numbers

d)

none

36.

Magnitude of vector (3,4) is:

a)

5

b)

7

c)

3

d)

4

37.

Dot product zero means:

a)

parallel

b)

same direction

c)

perpendicular

d)

none

38.

Cross product gives:

a)

scalar

b)

vector

c)

ratio

d)

none

39.

SI=500 = PRT/100 → 500 =2000×R×5/100 → R=?

a)

5%

b)

4%

c)

3%

d)

2%

40.

If 3x + 4y =10 and 6x + 8y = 20, the equations are:

a)

consistent

b)

inconsistent

c)

identical

d)

none

41.

Solve: 2x – 3y = 7 and x + y = 3 → x=?

a)

2

b)

1

c)

3

d)

4

42.

The system ax + by = c has infinite solutions only when:

a)

a=b=c

b)

a1/a2 = b1/b2 = c1/c2

c)

a=b

d)

none

43.

Number of permutations of the word “BANANA”:

a)

120

b)

60

c)

720

d)

360

44.

If nPr = 56 and nCr = 8, find r.

a)

4

b)

3

c)

2

d)

1

45.

Number of ways to seat 4 people around a round table:

a)

24

b)

12

c)

6

d)

20

46.

Choosing 2 committees of 3 members each from 6 persons (no repetition):

a)

10

b)

20

c)

15

d)

30

47.

Coefficient of x⁴ in (2x – 3)⁶ is:

a)

360

b)

270

c)

540

d)

720

48.

Middle term of (x + 1/x)⁸ is:

a)

4

b)

56

c)

70

d)

35

49.

lim x→0 (tan x)/x =

a)

1

b)

0

c)

d)

1/2

50.

lim x→0 (eˣ – 1)/x =

a)

e

b)

1

c)

0

d)

x

51.

d/dx (x² ln x) =

a)

2x ln x + x

b)

x ln x

c)

ln x

d)

2x

52.

d/dx (sin² x) =

a)

2 sin x

b)

2 sin x cos x

c)

cos x

d)

sin x

53.

d/dx (1/x) is

a)

–1/x²

b)

1/x²

c)

x

d)

–x

54.

If n(A)=20, n(B)=15, n(A∩B)=5 then n(A∪B)=?

a)

20

b)

25

c)

30

d)

35

55.

A’ ∩ B = means:

a)

Elements in B but not in A

b)

All elements

c)

Common elements

d)

none

56.

f(x)=1/x, domain is:

a)

all real numbers

b)

all real except 0

c)

integers

d)

positive numbers only

57.

If f(x)=x², then f(–3)=?

a)

–3

b)

–9

c)

9

d)

3

58.

A one-one function must satisfy:

a)

f(a)=f(b) → a=b

b)

f(a)=f(b) → a≠b

c)

no condition

d)

none

59.

Order of the matrix [[1,2],[3,4],[5,6]]?

a)

2×3

b)

3×2

c)

3×3

d)

1×6

60.

If A is 2×3 and B is 3×4, order of AB is:

a)

3×3

b)

2×4

c)

4×2

d)

Not possible

61.

det(I₃) =

a)

0

b)

1

c)

2

d)

3

62.

det |1 2 3; 0 1 4; 0 0 1| =

a)

1

b)

2

c)

3

d)

4

63.

If det(A)=5, det(2A)=?

a)

10

b)

20

c)

40

d)

32

64.

Probability of sum = 7 when rolling two dice:

a)

1/6

b)

1/12

c)

1/18

d)

1/36

65.

Probability of drawing a queen from 52 cards:

a)

1/52

b)

1/13

c)

4/52

d)

b & c

66.

If P(A)=0.4 and P(B)=0.5 and A,B independent, P(A∩B)=?

a)

0.2

b)

0.4

c)

0.5

d)

0.9

67.

A bag has 3 red & 7 blue balls. Probability of picking red:

a)

3/7

b)

7/10

c)

3/10

d)

1/2

68.

Area of triangle with vertices (0,0),(4,0),(0,6):

a)

12

b)

24

c)

6

d)

18

69.

Equation of line with slope 2 passing through (0,3):

a)

y=2x+3

b)

y=2x–3

c)

y=3x+2

d)

2x+y=3

70.

Distance between (2,3) and (–2,–3):

a)

6

b)

√36

c)

√52

d)

2

71.

Distance between points (1,2,2) and (4,6,5):

a)

5

b)

√35

c)

6

d)

√50

72.

Direction ratios of line through (1,2,3) and (4,6,7):

a)

(3,4,4)

b)

(1,1,1)

c)

(2,3,4)

d)

(3,4,5)

73.

|3i + 4j + 12k| =

a)

14

b)

13

c)

√169

d)

13

74.

Dot product of (1,2,3) and (4,–5,6):

a)

12

b)

1

c)

32

d)

28

75.

If a·b = 0 then vectors are:

a)

parallel

b)

perpendicular

c)

same

d)

collinear

76.

Cross product of parallel vectors is:

a)

zero

b)

positive

c)

negative

d)

infinite

77.

(x – 3)² expands to:

a)

x² + 9 – 6x

b)

x² – 6x + 9

c)

x² + 6x + 9

d)

none

78.

Value of 0! is:

a)

0

b)

1

c)

–1

d)

79.

If nP2 = 90, find n:

a)

10

b)

9

c)

15

d)

12

80.

Slope of line perpendicular to slope 3 is:

a)

1/3

b)

–1/3

c)

–3

d)

1

81.

If |x|= –5, then x is:

a)

5

b)

–5

c)

does not exist

82.

tan(45°) =

a)

1

b)

0

c)

√3

d)

1/√3

83.

Value of cos(0°) =

a)

1

b)

0

c)

–1

d)

½

84.

If A is 2×2 matrix and det(A)=3, det(A⁻¹)=?

a)

1

b)

3

c)

1/3

d)

9