# Free Rational Numbers 02 Practice Test - 7th grade

### Question 1

What should be added to

−38 to get 516?

1216

1316

1116

1416

#### SOLUTION

Solution :C

Let the number to be added be x.

−38+x=516

x=516+38=516+616=1116

### Question 2

In the given fig. locate the position where the ball lies on the number line.

15

25

35

45

#### SOLUTION

Solution :C

The space between 0 and 1 is divided into 10 equal parts. The ball lies in sixth place.

Therefore, the location ball lies in is, 610=35

### Question 3

Find the value of

−163÷−43.

1

3

4

2

#### SOLUTION

Solution :C

−163÷−43=−163×−34=4

### Question 4

Compare the rational numbers and choose the correct option.

3926 ___64

>

<

=

#### SOLUTION

Solution :C

Reducing 3926 to its lowest form , we get,

39÷1326÷13 = 32( 13 is the common factor)

Multiplying numerator and denominator by 2 we get

3×22×2 = 64

Hence, 3926 is also equal to 64

So, both the fraction are equal

Hence, 3926=64

### Question 5

Which of the following is a rational number equal to 47 with 16 as the numerator?

1621

1628

1615

1620

#### SOLUTION

Solution :B

Consider the given rational number 47.

To make the numerator as 16, we have to multiply it by 4.Multiplying both numerator and denominator by 4, we get

4× 47× 4=1628

Therefore, 1628 is an equivalent rational number of 47 with numerator equal to 16.

### Question 6

Add 213 to the reciprocal of −2612.

57

−56

67

−413

#### SOLUTION

Solution :D

Reciprocal of −2612 is −1226.

213+−1226 [Taking LCM]

=426−1226=4−1226=−826=−413

### Question 7

Find the sum of the rational numbers

−719 and −257.

−2157

−2357

−2247

−3247

#### SOLUTION

Solution :B

−719+−257=(−7×3)(19×3)+−257

=−2157+−257=−2357

### Question 8

102 in simplest form is ___

#### SOLUTION

Solution :102=2×52

=5

### Question 9

413>0. True or False?

True

False

#### SOLUTION

Solution :A

Any positive number is greater than 0.

### Question 10

−43≥2436

True

False

#### SOLUTION

Solution :B

A negative number cannot be greater than a positive number.

so,−43<2436