#### 9th Standard Maths English Medium Free Online Test 1 Mark Questions 2020 - 2021 Part - Four

9th Standard

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Maths

Time : 00:15:00 Hrs
Total Marks : 15

Part A

15 x 1 = 15
1. If n(A U B U C) = 100, n(A) = 4x, n(B) = 6x, n(C) = 5x, n(A ∩ B) = 20, n(B ⋂C) = 15, n(A C) = 25 and n(A ⋂ B ⋂ C) = 10 , then the value of x is

(a)

10

(b)

15

(c)

25

(d)

30

2. If A,B,C are non-overlapping sets,then n $\left( A\cap B\cap C \right)$ is ___________

(a)

n(A) + n(B) + n(C)

(b)

$n\left( A\cup B\cup C \right)$

(c)

0

(d)

$n\left( A\cap B \right)$

3. The value of $\bar { 0.03 }$ +$\bar { 0.03 }$  is ___________.

(a)

$\bar { 0.09 }$

(b)

$\bar { 0.09 }$

(c)

$\bar { 0.09 }$

(d)

0

4. $\sqrt{27}$+$\sqrt{12}$=

(a)

$\sqrt{39}$

(b)

5$\sqrt{6}$

(c)

5$\sqrt{3}$

(d)

3$\sqrt{5}$

5. Let the polynomials be (A)–13q5 + 4q2 + 12q (B)(x2 +4 )(x2 + 9) (C)4q8 – q6 + 2 (D)-$\frac {5}{7}$y12+y3+y5
Then ascending order of their degree is

(a)

A,B,D,C

(b)

A,B,C,D

(c)

B,C,D,A

(d)

B,A,C,D

6. Which of the following has a factor?

(a)

x+ 2x

(b)

(x - 1)2

(c)

(x + 1)2

(d)

(x- 22)

7. Orthocentre of a triangle is the point of concurrency of _______

(a)

medians

(b)

altitudes

(c)

angle bisectors

(d)

perpendicular bisectors of side

8. PQ and RS are two equal chords of a circle with centre O such that ㄥPOQ=70°, then ㄥOR

(a)

60°

(b)

70°

(c)

55°

(d)

80°

9. If the points A (2,0), B (-6,0), C (3, a–3) lie on the x-axis then the value of a is _____

(a)

0

(b)

2

(c)

3

(d)

-6

10. The centre of a circle is (0, 0). One end point of a diameter is (5, -1), then ______________

(a)

$\sqrt{24}$

(b)

$\sqrt{37}$

(c)

$\sqrt{26}$

(d)

$\sqrt{17}$

11. The mean of the square of first 11 natural numbers is

(a)

26

(b)

46

(c)

48

(d)

52

12. The mean of set of numbers is $\bar{x}$ If each number is multiplied by z, the mean is

(a)

$\bar{X}+z$

(b)

$\bar{X}-z$

(c)

$z\bar{X}$

(d)

$\bar{X}$

13. The value of $\frac { 1-{ tan }^{ 2 }{ 45 }^{ 0 } }{ 1+{ tan }^{ 2 }{ 45 }^{ 0 } }$

(a)

2

(b)

1

(c)

0

(d)

$\frac { 1 }{ 2 }$

14. The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is

(a)

75 litres

(b)

750 litres

(c)

7500 litres

(d)

75000 litres

15. A collection of one or more outcomes of an experiment is called

(a)

Event

(b)

Outcome

(c)

Sample point

(d)

None of the above