Rational Numbers Test

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Rational Numbers Test - 2

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following statements is incorrect?

A
A rational number is of the form x/y, where x and y are integers and y≠0.

B
The product of two negative rational number is negative rational number.

C
There are infinite rational numbers between any two rational numbers.

D
All fractions greater than 1 are rational numbers.

Solution

Product of two negative number is always positive.
Question 2
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Which of the following statements is incorrect?

A
The number 5/2 lies between 2 and 3

B
The number 11/12 lies between 5/6 and 23/24

C
The number 3/4 lies between 2/3 and 6/7

D
The number 5/9 lies between 2/3 and

Solution

Take LCM of 5/9, 2/3, 3/4 ⇒ 20/36, 24/36, 27/36 and compare;

we can see that 20/36 does not lie between 24/36 and 27/36
Question 3
1 / -0

p: All integers are rational numbers.

q: Every rational number is an integer.

Which of the following statements is correct?

A
p is false and q is true.

B
p is true and q is false.

C
Both p and q are true.

D
Both p and q are false.

Solution

Since, every integer can have a denominator 1,

so it can be expressed in p/q form.

Hence statement 'p' is true.

But every rational number, say −6/7, is not an integer.
Question 4
1 / -0

If −4/9 = −16/x, what is the value of x ?

A
36

B
-36

C
42

D
-42

Solution

-4/9 = -16/x Cross multiply ⇒ -4x = -9 ×16
Question 5
1 / -0

Meena's height is 3 5/6 feet. If her sister Gita is 4 6/7 feet tall, then what is the difference between their heights?

A
10/11 feet

B
1 1/6 feet

C
2/7 feet

D
1 1/42 feet

Solution

4 6/7 – 3 5/6
Question 6
1 / -0

Which of the following pairs of numbers is not a pair of equivalent rational numbers?

A
13/2 and 65/10

B
15/36 and 63/108

C
4/5 and 16/20

D
None of these

Solution

15/30 = 5/12 where as 63/109 = 7/12
Question 7
1 / -0

p: Every fraction is a rational number.

q: Every rational number is a fraction.

Which of the following is correct?

A
p is true and q is false.

B
p is false and q is true.

C
Both p and q are true.

D
Both p and q are false.

Solution

Let us consider a fraction 27; this is also a rational number.

However a rational number say, 6 is not a fraction

∴ 'p' is true, 'q' is false.
Question 8
1 / -0

Which of the following statements is true?

A
5/−8 > −20/32

B
5/−8 = −20/32

C
5/−8 < −20/32

D
5/6 < 11/12

Solution

5/−8 = 5×4/−8×4 = 20/−32 = −20/32
Question 9
1 / -0

What type of a numerator does 0/9 have?

A
Positive

B
Negative

C
Either positive or negative

D
Neither positive nor negative

Solution

Neither positive nor negative

Question 10

1 / -0

Which row is incorrectly matched?

Row	Rational Number	Standard Form
A.	22/−42'	1/2
B.	−12/−21	4/7
C.	27/30	9/10
D.	−32/56	−4/7

Row A

Row B

Row C

Row D

Solution

22/−42 = −22/42 = −11/21 ≠ 1/2

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Re-Attempt Weekly Quiz Competition

Rational Numbers Test - 2

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Rational Numbers Test - 2

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SHARING IS CARING

Question 1

A rational number is of the form x/y, where x and y are integers and y≠0.

The product of two negative rational number is negative rational number.

There are infinite rational numbers between any two rational numbers.

All fractions greater than 1 are rational numbers.

Solution

Question 2

The number 5/2 lies between 2 and 3

The number 11/12 lies between 5/6 and 23/24

The number 3/4 lies between 2/3 and 6/7

The number 5/9 lies between 2/3 and

Solution

Question 3

p is false and q is true.

p is true and q is false.

Both p and q are true.

Both p and q are false.

Solution

Question 4

36

-36

42

-42

Solution

Question 5

10/11 feet

1 1/6 feet

2/7 feet

1 1/42 feet

Solution

Question 6

13/2 and 65/10

15/36 and 63/108

4/5 and 16/20

None of these

Solution

Question 7

p is true and q is false.

p is false and q is true.

Both p and q are true.

Both p and q are false.

Solution

Question 8

5/−8 > −20/32

5/−8 = −20/32

5/−8 < −20/32

5/6 < 11/12

Solution

Question 9

Positive

Negative

Either positive or negative

Neither positive nor negative

Solution

Question 10

Row A

Row B

Row C

Row D

Solution

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