Rational Numbers Test

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Rational Numbers Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Evaluate: (-16/2 × -6/4) – (-20/12 × 15/5)

A
17

B
20

C
22

D
14

Solution

It can be written as
= (-16 × -6)/ (2 × 4) + (20 × 15)/ (12 × 5)
By further calculation
So we get
= 12 + 5
= 17
Therefore, option (a) is correct.
Question 2
1 / -0

What will be the sum of the rational numbers -7/22 and -4/11?

A
(-15)/22

B
(-11)/22

C
(-12)/11

D
(-14)/11

Solution

-7/22 + -4/11 = _{-7 ×1} / _22×1 + _{-4 ×2} / _11×2
= (-7) + (-8)/22
= (-15)/22
Therefore, option (a) is correct.
Question 3
1 / -0

By what rational number should we multiply -13/5, so that the product may be -39/2?

A
15/2

B
17/2

C
13/2

D
13/3

Solution

Here the required rational number = -39/2 ÷ (-13/5)
By further calculation
= -39/2 × (-5/13)
= 15/2
Therefore, option (a) is correct.
Question 4
1 / -0

Arrange the given rational numbers in descending order: 3/4, -11/12 and -9/2.

A
3/4 > -11/12 > -9/2

B
3/4 < -11/12 > -9/2

C
3/4 < -11/12 < -9/2

D
3/4 > -11/12 < -9/2

Solution

It can be written as
= 3/4, -11/12 and -9/2
LCM of 4, 12 and 2 is 12
= (3 × 3)/ (4 × 3), (-11 × 1)/ (12 × 1) and (-9 × 6)/ (2 × 6)
So we get
= 9/12, -11/12 and -54/12
Here, 9 > – 11 > – 54
We can write it as
9/12 > -11/12 > -54/12
By further calculation
3/4 > -11/12 > -9/2
Therefore, option (a) is correct.
Question 5
1 / -0

3/5 + 2/5 – 9/2 is equal to:

A
-7/2

B
0

C
-6/5

D
-3/7

Solution

3/5 + 2/5 – 9/2 = (6+4-45)/9 10
= -35/10
= -7/2
Therefore, option (a) is correct.
Question 6
1 / -0

What rational number should be added to -2/3 to get 4?

A
14/3

B
15/2

C
17/3

D
11/5

Solution

So the required rational number = 4 – (-2/3)
It can be written as
= 4 + 2/3
LCM of 1 and 3 is 3
= (4 × 3)/ (1 × 3) + (2 × 1)/ (3 × 1)
By further calculation
= (12 + 2)/ 3
So we get
= 14/3
Therefore, option (a) is correct.
Question 7
1 / -0

The product of two rational numbers is 50. If one of them is -30/4, find the other.

A
-20/3

B
-2/3

C
-12/3

D
-4/13

Solution

It is given that
Product of two rational numbers = 50
One rational number = -30/4
Other rational number = 50 ÷ (-30/4)
It can be written as
= 50 × (-4/30)
By further calculation
= -20/3
Therefore, option (a) is correct.
Question 8
1 / -0

Compare: 11/-7 and -11/-7

A
<

B
>

C
=

D
none of the above

Solution

We know that
a/b and c/d = a × d and b × c
So we get
a × d < b × c
Substituting the values
11 × -7 and -11 × -7
– 77 < 77
Hence, 11/-7 < -11/-7.
Therefore, option (a) is correct.
Question 9
1 / -0

Compare: (5/9 and -2/7)

A
<

B
>

C
=

D
NONE OF THE ABOVE

Solution

5/9 is on the right side of the number line.
Hence, 5/9 > -2/7.
Therefore, option (b) is correct.
Question 10
1 / -0

Arrange the given rational numbers in descending order: 7/15, 1/3 and 9/5.

A
9/5 > 7/15 > 1/3

B
9/5 < 7/15 > 1/3

C
9/5 > 7/15 = 1/3

D
9/5 > 7/15 < 1/3

Solution

It can be written as
= 7/15, 1/3 and 9/5
LCM of 15, 3 and 5 is 15
= (7 × 1)/ (15 × 1), (1 × 5)/ (3 × 5) and (9 × 3)/ (5 × 3)
So we get
= 7/15, 5/15, and 27/15
Here, 7 > 5 > 27
We can write it as
27/15 > 7/15 > 5/15
By further calculation
9/5 > 7/15 > 1/3
Therefore, option (a) is correct.
Question 11
1 / -0

Find the value of (-21)/4 ÷ (16)/3

A
-28

B
-30

C
-40

D
-22

Solution

(-21)/4 ÷ (16)/3
= (-21)/4 ×3/ (16)
= -28
Therefore, option (a) is correct.
Question 12
1 / -0

What rational number should be subtracted from -5/3 to get -5/2?

A
5/6

B
7/5

C
6/1

D
5/2

Solution

Required rational number = -5/3 – -5/2
Here the LCM of 3 and 2 is 6
= (-5 × 2)/ (3 × 2) – (5 × 3)/ (2 × 3)
By further calculation
= (-10 + 15)/ 6
So we get
= 5/6
Therefore, option (a) is correct.
Question 13
1 / -0

The sum of two rational numbers is 4. If one of them is 8/3, find the other.

A
4/3

B
2/3

C
1/3

D
5/3

Solution

It is given that
Sum of two rational numbers = 4
One rational number = 8/3
Other rational number = 4 – (8/3)
Here LCM is 3
= (4 × 3)/ (1 × 3) - (8 × 1)/ (3 × 1)
By further calculation
= (12 - 8)/ 3
= 4/3
Therefore, option (a) is correct.
Question 14
1 / -0

Compare: 1/2 and 0

A
<

B
>

C
=

D
NONE OF THE ABOVE

Solution

1/2 is a positive rational number which is always more than 0.
Hence, 1/2 > 0.
Therefore, option (b) is correct.
Question 15
1 / -0

What rational number should be added to -3/5 to get -43/30?

A
-5/6

B
-2/3

C
-2/5

D
-5/7

Solution

It is given that
Sum of two rational numbers = -43/30
One rational number = -3/5
Other number = -43/30 – (-3/5)
It can be written as
= -43/30 + 3/5
Here LCM of 30 and 5 is 30
= (-43 × 1)/ (30 × 1) + (-3 × 6)/ (5 × 6)
By further calculation
= (-43+18)/ 60
= -25/30
= -5/6
Therefore, option (a) is correct.

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Re-Attempt Weekly Quiz Competition

Rational Numbers Test - 8

Result

Rational Numbers Test - 8

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SHARING IS CARING

Question 1

17

20

22

14

Solution

Question 2

(-15)/22

(-11)/22

(-12)/11

(-14)/11

Solution

Question 3

15/2

17/2

13/2

13/3

Solution

Question 4

3/4 > -11/12 > -9/2

3/4 < -11/12 > -9/2

3/4 < -11/12 < -9/2

3/4 > -11/12 < -9/2

Solution

Question 5

-7/2

0

-6/5

-3/7

Solution

Question 6

14/3

15/2

17/3

11/5

Solution

Question 7

-20/3

-2/3

-12/3

-4/13

Solution

Question 8

<

>

=

none of the above

Solution

Question 9

<

>

=

NONE OF THE ABOVE

Solution

Question 10

9/5 > 7/15 > 1/3

9/5 < 7/15 > 1/3

9/5 > 7/15 = 1/3

9/5 > 7/15 < 1/3

Solution

Question 11

-28

-30

-40

-22

Solution

Question 12

5/6

7/5

6/1

5/2

Solution