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QUESTION: 1

Which of the following is correct?

Solution:

Let us consider a fraction 3/5 and a rational number = −4/7 By definition, 3/5 is a rational number.

So, p is true. By definition, −4/7 is not a fraction, since, −4 is not a natural number. So, q is false.

QUESTION: 2

Which of the following is not a rational number(s)?

Solution:

QUESTION: 3

p: All integers are rational numbers.

q: Every rational number is an integer.

Which of the following statements is correct?

Solution:

Since, every integer having a denominator 1 can be expressed in P/q form, p is true.

Since, a rational number with denominator other than 1 is not an integer (e.g., 3/5 ), q is false.

QUESTION: 4

What type of a number is −3/0?

Solution:

Since, denominator is 0, it is not a rational number.

QUESTION: 5

Which among the following is a rational number equivalent to 5/3?

Solution:

QUESTION: 6

What type of a numerator does 0/7 have?

Solution:

QUESTION: 7

Which of the following statements is true?

Solution:

QUESTION: 8

If what is the value of x?

Solution:

QUESTION: 9

Which is the greatest?

Solution:

Since we know , greater the denominator smaller is the number, but since all numbers are negative, the number nearer to zero will be greatest ,so -5/17 is the greatest number.

QUESTION: 10

Which is the correct descending order of

Solution:

L.C.M. of 5, 4 and 20 is 20.

or

is the required descending order. Rewrite equivalent fractions of the given fractions and then compare then. Arrange them in descending order.

QUESTION: 11

What is the average of the two middle rational numbers if 4/7,1/3,2/5 and 5/9 are arranged in ascending order?

Solution:

The ascending order of

The two middle numbers are 2/5 and 5/9

∴ Average

=

QUESTION: 12

What is the percentage of the least number in the greatest number of 3/5,9/5,1/5 and 75 ?

Solution:

The given numbers can be arranged in ascending order as

The greatest number = 9/5; The least number = 1/5

We have

QUESTION: 13

What is the difference between the greatest and least numbers of 5/9,1/9 and 11/9 ?

Solution:

The ascending order of given numbers is 1/9,5/9,11/9.

∴ Required difference 11/9−1/9 = 10/9

QUESTION: 14

Which of the following pairs represent the same rational number?

Solution:

−24/15 is the equivalent rational number of −8/5.

QUESTION: 15

P: The quotient of two integers is always a rational number.

Q : 1/0 is not rational. Which of the following statements is true?

Solution:

Since, 1/0 is not rational, the quotient of two integers is not always rational.

QUESTION: 16

What is the result of

Solution:

QUESTION: 17

Which is the equivalent of -143/21

Solution:

QUESTION: 18

Of which property is an example?

Solution:

QUESTION: 19

Which of the following statements is correct?

Solution:

All the given statements are correct. Consider 4/5 [a]

Since is the additive identity of rational numbers. [b]

Since is the multiplicative identity of rational numbers. [c]

Since 0+0 = 0,0 is the additive inverse of 0.

QUESTION: 20

The sum of two rational numbers is −3. If one of the numbers is −7/5, find the other number.

Solution:

Let x be the required number. So,

x+ =−3+ 7/5

=

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