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This mock test of Test: Integers for Class 7 helps you for every Class 7 entrance exam.
This contains 10 Multiple Choice Questions for Class 7 Test: Integers (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Integers quiz give you a good mix of easy questions and tough questions. Class 7
students definitely take this Test: Integers exercise for a better result in the exam. You can find other Test: Integers extra questions,
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QUESTION: 1

Which integer is greater than –5?

Solution:

An **integer** on the horizontal **number line** is greater than the **number** on its **left** and less than the number on its right.

Therefore, the smallest negative integer is -11 and the biggest integer is -1.

**Thus, -1 will be greater than -5.**

QUESTION: 2

If a x (b − c) is 8 for a = 2, b = 10 and c = 6 then a x b − a x c is equal to:

Solution:

By Distributive law,

a x (b − c) = a x b - a x c

⇒ a x b - a x c = 8

**Alternative method**

a x b - a x c = 2 x 10 - 2 x 6

⇒ a x b - a x c = 20 - 12 = 8 [using BODMAS]

**Thus, option D is the correct.**

QUESTION: 3

The product of three negative integers is:

Solution:

The product of 3 negative integers will always be negative.

a * (-a) = -a^{2}

(-a) * (-a) = a^{2}

(-a) * (-a) * (-a) = a^{2} * (-a) = -a^{3}

QUESTION: 4

The additive identity for integers is:

Solution:

The **additive identity property** says that if you add an integer to zero or add zero to the integer, then you get the same integer back **i.e.** a + 0 = 0 + a = a.

**Thus, 0 is an additive identity for the integers.**

QUESTION: 5

According to Distributive Law of Multiplication over Addition, a x (b + c) must be equal to:

Solution:

__According to Distributive Law of Multiplication over Addition:__

a x (b + c) = a x b + a x c

QUESTION: 6

Which amongst the following is the largest?

I-89I, -89, -21, I-21I

Solution:

**|x|** gives the absolute value of x **i.e. **the magnitude of the real number without regard to its sign.

The magnitude of a number is its size.

**Therefore, **I-89I = 89, I-21I = 21

**Thus, option C is correct.**

QUESTION: 7

The multiplicative identity for integers is:

Solution:

The **multiplicative identity** of any integer p is a number q which when multiplied with p, leaves it unchanged, **i.e. **p × q = p.

Since, p × 1 = p = 1 × p

**Therefore, 1 is the multiplicative identity for integers**.

QUESTION: 8

What will be the additive inverse of 7?

Solution:

The **additive inverse** of a number x is the number that, when added to x, gives zero **i.e.** x + (-x) = 0.

This number is also known as the opposite number.

**Thus, -7 is the additive inverse of 7.**

QUESTION: 9

How many integers are there between -8 and 2 (excluding -8 and 2)?

Solution:

__The integers between -8 & 2 are:__ -7 , -6 , -5 , -4 , -3 , -2 , -1 , 0 , 1

⇒ There are **9 integers** between -8 & 2.

QUESTION: 10

The value of [(-4) x (-9) x (-25)] ÷ [(-2) x (-3) x (-5)] is:

Solution:

Firstly we will solve brackets according to **BODMAS** rule,

(-4) x (-9) x (-25) = -900

(-2) x (-3) x (-5) = -30

⇒ [(-4) x (-9) x (-25)] ÷ [(-2) x (-3) x (-5)] = (-900)/(-30) = 30

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