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This mock test of Test: Number Systems - 2 for Class 9 helps you for every Class 9 entrance exam.
This contains 25 Multiple Choice Questions for Class 9 Test: Number Systems - 2 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Number Systems - 2 quiz give you a good mix of easy questions and tough questions. Class 9
students definitely take this Test: Number Systems - 2 exercise for a better result in the exam. You can find other Test: Number Systems - 2 extra questions,
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QUESTION: 1

How many prime number are there between 0 and 30 :-

Solution:

There are 10 prime numbers between 0 and 30 which are: 2,3,5,7,11,13,17,19,23,29

QUESTION: 2

Two irrational numbers between 2 and 2.5 are :-

Solution:

Irrational number between 2 and 2.5 = âˆš2*2.5 = âˆš5

As it is clear now that,

2 < âˆš5 < 2.5

We know that âˆš5 is an irrational number.

So, âˆš5 is the required irrational number between 2 and 2.5.

QUESTION: 3

The exponential form of is :-

Solution:

(√2×√3)½ = (2×3)½×½ = (6)¼

QUESTION: 4

The rational form of –25.6875 is :-

Solution:

QUESTION: 5

The rational form of is :-

Solution:

QUESTION: 6

The value of is :-

Solution:

QUESTION: 7

Which of the following is not a rational number :-

Solution:
âˆš4 = 2, âˆš9 = 3, âˆš16 = 4 but âˆš2 = 1.414 it is a non-terminating and non-repeating number and such numbers are called irrational numbers. So, âˆš2 is not a rational number.

QUESTION: 8

(2√3 +√3) is equal to

Solution:

(2√3 +√3) = 3√3 ( By addition of like terms )

So option C is correct answer.

QUESTION: 9

The number is :-

Solution:
If this number is rationalised then 3-âˆš3Ã—3-âˆš3/3+âˆš3Ã—3-âˆš3

=(3-âˆš3)^2/3^2+âˆš3^2

=9+3-6âˆš3/6

=12-6âˆš3/6

=2-âˆš3 this is an irrational number.

=(3-âˆš3)^2/3^2+âˆš3^2

=9+3-6âˆš3/6

=12-6âˆš3/6

=2-âˆš3 this is an irrational number.

QUESTION: 10

If then equals :-

Solution:

QUESTION: 11

The value of 5. :-

Solution:

QUESTION: 12

Solution:

QUESTION: 13

The value of is :-

Solution:

QUESTION: 14

If 2^{x} = 4^{y} = 8^{z} and = 4, then the value of x is :-

Solution:

QUESTION: 15

If 9^{x-1} = 3^{2x-1} – 486 then the value of x is :-

Solution:

QUESTION: 16

If then the value of a^{2} +b^{2} is :-

Solution:

QUESTION: 17

is equal to :-

Solution:

QUESTION: 18

If 2^{2x-y} = 32 and 2^{x+y} = 16 then x^{2} + y^{2} :-

Solution:

QUESTION: 19

The value of is :-

Solution:

QUESTION: 20

The value of

Solution:

QUESTION: 21

Solution:

QUESTION: 22

The value of 4√3 – 3 √12 + 2 √75 on simplifying is :-

Solution:

QUESTION: 23

If √3 = 1.732, √5 = 2.236, then the value of is :-

Solution:

QUESTION: 24

The product of 4 √6 and 3√24 is :-

Solution:

4âˆš6*3âˆš24=4âˆš6*3âˆš2*âˆš2*âˆš*2*âˆš3

=4âˆš6*6âˆš6

4*6*âˆš6*âˆš6=4*6*6=24*6=144

QUESTION: 25

If a = , b = , then the value of a + b is :-

Solution:

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