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Test: Number Systems - 1


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25 Questions MCQ Test Mathematics (Maths) Class 9 | Test: Number Systems - 1

Test: Number Systems - 1 for Class 9 2022 is part of Mathematics (Maths) Class 9 preparation. The Test: Number Systems - 1 questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Number Systems - 1 MCQs are made for Class 9 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Number Systems - 1 below.
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Test: Number Systems - 1 - Question 1

Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34.

Detailed Solution for Test: Number Systems - 1 - Question 1

Remainder,

[We have taken individual remainder, which means if 73 is divided by 34 individually, it will give remainder 5, 75 divided 34 gives remainder 7 and so on.]

[We have taken here negative as well as positive remainder at the same time. When 30 divided by 34 it will give either positive remainder 30 or negative remainder -4. We can use any one of negative or positive remainder at any time.]

Required remainder = 32.

Test: Number Systems - 1 - Question 2

If x = 2+√3, then x + 1/x =

Detailed Solution for Test: Number Systems - 1 - Question 2


Test: Number Systems - 1 - Question 3

The representation of octal number (532.2)8 in decimal is :

Detailed Solution for Test: Number Systems - 1 - Question 3

Octal to Decimal conversion is obtained by multiplying 8 to the power of base index along with the value at that index position.

(532.2)8 = 5 * 82 + 3 * 81 + 2 * 80 + 2 * 8-1 = (346.25)10

Test: Number Systems - 1 - Question 4

The value of  is 

Detailed Solution for Test: Number Systems - 1 - Question 4

Test: Number Systems - 1 - Question 5

The value of  is 

Detailed Solution for Test: Number Systems - 1 - Question 5


Test: Number Systems - 1 - Question 6

Which of the following is an rational number?

Test: Number Systems - 1 - Question 7

If 146! Is divisible by 5n, and then find the maximum value of n.

Detailed Solution for Test: Number Systems - 1 - Question 7

Required answer,

Note:
We have taken integral value only, not the fractional.
For example 146/5 = 29.2 but we have taken 29 and so on.

Test: Number Systems - 1 - Question 8

Detailed Solution for Test: Number Systems - 1 - Question 8

Test: Number Systems - 1 - Question 9

(5+√8)+(3−√2)(√2−6) is

Detailed Solution for Test: Number Systems - 1 - Question 9


And we know that the value of 11√2 is greater than 15 so it's value will be positive, And also sum or differences of rational and irrational is irrational

Test: Number Systems - 1 - Question 10

√8+2√32−5√2 is equal to

Detailed Solution for Test: Number Systems - 1 - Question 10

Test: Number Systems - 1 - Question 11

Every rational number is

Detailed Solution for Test: Number Systems - 1 - Question 11

Every rational number is a real number. Real Number is a set of numbers formed by both Rational and Irrational numbers are combined.

Test: Number Systems - 1 - Question 12

The simplest form of   is

Detailed Solution for Test: Number Systems - 1 - Question 12

Test: Number Systems - 1 - Question 13

(125/216) -1/3 =

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Test: Number Systems - 1 - Question 14

8√15 ÷ 2√3

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Test: Number Systems - 1 - Question 15

Ifn x = 3+2√2, then the value of 

Detailed Solution for Test: Number Systems - 1 - Question 15


Test: Number Systems - 1 - Question 16

Decimal representation of a rational number cannot be 

Detailed Solution for Test: Number Systems - 1 - Question 16

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly.

Decimals of this type cannot be represented as fractions, and as a result, are irrational numbers.

Test: Number Systems - 1 - Question 17

The simplest form of  is

Test: Number Systems - 1 - Question 18

If 3x + 64 = 26 + (√3)8, then the value of ‘x’ is 

Detailed Solution for Test: Number Systems - 1 - Question 18

Test: Number Systems - 1 - Question 19

If x1/12 = 491/24, then the value of ‘x’ is

Detailed Solution for Test: Number Systems - 1 - Question 19

Test: Number Systems - 1 - Question 20

The value of (0.00032)-2/5 is

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Test: Number Systems - 1 - Question 21

The decimal representation of an irrational number is

Test: Number Systems - 1 - Question 22

A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called

Test: Number Systems - 1 - Question 23

The value of  is 

Detailed Solution for Test: Number Systems - 1 - Question 23

Test: Number Systems - 1 - Question 24

Which of the following is a rational number?

Detailed Solution for Test: Number Systems - 1 - Question 24

0 is an integer and all integers are rational numbers.

Test: Number Systems - 1 - Question 25

The value of  is 

Detailed Solution for Test: Number Systems - 1 - Question 25



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