Test: Rational Numbers

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Description

This mock test of Test: Rational Numbers for Class 9 helps you for every Class 9 entrance exam. This contains 20 Multiple Choice Questions for Class 9 Test: Rational Numbers (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Rational Numbers quiz give you a good mix of easy questions and tough questions. Class 9 students definitely take this Test: Rational Numbers exercise for a better result in the exam. You can find other Test: Rational Numbers extra questions, long questions & short questions for Class 9 on EduRev as well by searching above.

QUESTION: 1

If = 3.162, then the value of

A.
3.162
B.
0.003162
C.
31.62
D.
0.3162

Solution:

QUESTION: 2

Which of the following is the product of 7/8 and -4/21?

A.
-1/6
B.
1/12
C.
-16/63
D.
-147/16

Solution:

7/8 x -4/21 = -1/6

Option B is the correct answer.

QUESTION: 3

Rationalise the denominator of .

Solution:

5 / (3 + √8) x ( (3 - √8) / (3 - √8)

= 5 ( 3 - √8)/(3^{2 -}8⁾

= 5 ( 3 - √8 ) / 9 - 8 = 15 - 5√8

So option C is correct.

QUESTION: 4

Expression of 2.2323… in the form of a/ b is ________.

A.
221/99
B.
75/31
C.
7/99
D.
223/99

Solution:

QUESTION: 5

The rational number between 1 and 2 is

A.
3/2
B.
7/2
C.
5/2
D.
1/2

Solution:

Remember the general formula to find rational number between two

given number 1/2(a+b)[where a, b are given numbers]

A rational number between 1 and 2 is 1/2(1+2)=3/2

QUESTION: 6

The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by:

A.
9
B.
2
C.
5
D.
8

Solution:

Let the three digit number be 439
The sum of digits =16
Difference =439−16=423 which is divisible by 9.

QUESTION: 7

Which of the following lies between 0 and -1?

A.
0
B.
-3
C.
-2/3
D.
4/3

Solution:

QUESTION: 8

A.
a terminating decimal.
B.
a non terminating recurring decimal
C.
a non terminating non recurring decimal
D.
an integer

Solution:

QUESTION: 9

p/q is a rational number, so p and q must be

A.
Any two integers
B.
One of them positive and the other negative
C.
Both natural numbers
D.
Both integers but q must be non zero

Solution:

QUESTION: 10

Which of the following is the product of 7/8 and -4/21?

A.
-1/6
B.
1/12
C.
-16/63
D.
-147/16

Solution:

7 / 8 x -4 / 21 = -1/6

So answer is option A .

QUESTION: 11

From the choices given below mark the co-prime numbers

A.
2, 3
B.
2, 4
C.
2, 6
D.
2, 110

Solution:

QUESTION: 12

All the integers are

A.
whole numbers
B.
rational numbers
C.
irrational numbers
D.
natural numbers

Solution:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where aand b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6. All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.

QUESTION: 13

The fraction equivalent of is

A.
234/1000
B.
234/99
C.
234/100
D.
234/999

Solution:

Let x = 0.234234234.........
(1) Then , multiply both side with 1000 1000x = 234.234234......(2) Now Eq.(2)-(1) 1000x-x = 234.234234- 0.234234 999x = 234 x = 234/999

QUESTION: 14

Between 3 and 4 there are

A.
10,000 rational numbers
B.
1000 rational numbers
C.
Infinitely many rational numbers
D.
500 rational numbers

Solution:

There is no single number between 3 and 4, there is an infinite amount of numbers. If you are asking for INTEGERS, there are none. If not, you can have unlimited numbers between 3 and 4. For example, a number could be 3.0000000000000000005 or 3.9999999999999997.

QUESTION: 15

in the form of fraction is

A.
2/13
B.
3/11
C.
3/13
D.
2/11

Solution:

X=0.230769
(1) 1000000=230769.230769

(2) subtracting

(1) from (2) 230769 =9999999x then, x =230769/9999999 =3/13

QUESTION: 16

Every rational number is

A.
an integer
B.
a whole number
C.
a real number
D.
a natural number

Solution:

Real numbers are the numbers that can be placed on number line
And rational number can be placed on number line so all rational numbers are real number.

QUESTION: 17

The product of two numbers is -20/9. If one of the numbers is 4, find the other.