Integers Test

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Integers Test - 12

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Weekly Quiz Competition

Question 1
1 / -0

The integer which is - 7 more than (- 5 - (- 2)) is

A
- 3

B
- 5

C
- 7

D
- 10

Solution

- 7 + {(- 5) - (- 2)}
= - 7 + {- 5 + 2}
= - 7 - 3
= - 10
Hence, option (4) is correct.
Question 2
1 / -0

Which of the following integers is the smallest?

A
- 89

B
- 85

C
- 67

D
- 52

Solution

We can arrange the given integers in increasing order as follows.
- 89 < - 85 < - 67 < - 52
So, smallest integer is - 89.
Hence, option (1) is correct.
Question 3
1 / -0

What is the sum of the given integers?

- 33, 14, - 53, - 78

A
- 144

B
- 150

C
- 175

D
- 186

Solution

Sum = 14 + (- 33 - 53 - 78)
= 14 - 164
= - 150
Hence, option (2) is correct.
Question 4
1 / -0

Which of the following statements is true?

A
Every whole number is an integer.

B
Every fraction can be expressed as an integer.

C
Every integer is a positive number.

D
None of these

Solution

Statement (1) is true because whole number starts from 0, 1, 2, 3, ... and these numbers are also integers.
So, every whole number is an integer.

Statement (2) is incorrect. Every fraction cannot be expressed as an integer. For example - we cannot write 3/4 as an integer.

Also, statement (3) is false because integers can be positive, negative or zero.
Hence, option (1) is correct.
Question 5
1 / -0

Write the correct sign in place of (?) to make the expression true?

{- 9 - (- 6 - 3)} (?) {(- 9 - (- 6)) - 3}

A
=

B
<

C
>

D
None of the above

Solution

LHS: - 9 - (- 6 - 3)
= - 9 - (- 9)
= - 9 + 9 = 0

RHS: (- 9 - (- 6)) - 3
= (- 9 + 6) - 3
= - 3 - 3 = - 6

Therefore,
0 > - 6
LHS > RHS

Also, {- 9 - (- 6 - 3)} > {(- 9 - (- 6)) - 3}
Hence, option (3) is correct.
Question 6
1 / -0

The largest negative integer is

A
0

B
1

C
- 1

D
- 2

Solution

An integer is a whole number (not a fractional number) that can be positive, negative or zero.
So, largest negative integer is - 1.
Hence, option (3) is correct.
Question 7
1 / -0

Directions: Choose the correct statement.

A
A number does not change, if we multiply it and then divide the product by that same number.

B
When the dividend is composed of factors, we may divide any one of the factors.

C
The quotient will not change, if we multiply the dividend and divisor by the same number.

D
All of these

Solution

Statement (1): A number does not change, if we multiply it and then divide the product by that same number.
For example, we have a number 16.
= 16
So, statement (1) is true.
Statement (2): When the dividend is composed of factors, we may divide any one of the factors, is also true.
Statement (3): The quotient will not change, if we multiply the dividend and divisor by the same number, is also true with all the numbers.
All the statements are correct.
Hence, option (4) is correct.
Question 8
1 / -0

Which of the following shows the minimum rise in temperature?

A

B

C

D

Solution

Rise in temperature = C = C
Rise in temperature = C = C
Rise in temperature = C = C
Rise in temperature = C = C
Therefore, the minimum rise in temperature is .
Hence, option (2) is correct.
Question 9
1 / -0

Which of the following is false?

A
(- 4) + (- 7) = - 11

B
(- 4) - (- 7) = 3

C
- 4 - (- 7) - 2 = -1

D
- 4 + 7 + 2 = 5

Solution

{- 4 - (- 7) - 2} = - 1 is incorrect because if we will solve {- 4 - (- 7) - 2}, we get
{- 4 - (- 7) - 2} = - 4 + 7 - 2 = 7 - 6 = 1
Hence, equation in option (3) is false.
Question 10
1 / -0

The first integer is not on the right of the other integer on the number line in which of the following pairs of integers?

A
(- 3, - 8)

B
(- 5, - 9)

C
(- 7, - 1)

D
(- 7, - 8)

Solution

We know that as we move from left side to right side on the number line, numbers increase and from right to left, numbers decrease.
On observing all the options by using a number line, we get that there is only one pair (- 7, - 1) in which the first integer is not on the right of the other integer.
Hence, option (3) is correct.
Question 11
1 / -0

When a positive integer is added to an integer, the resulting integer is

A
sometimes greater than the given integer

B
always less than the given integer

C
the same as the given integer

D
always zero

Solution

Let us go through the answer by taking examples:
Example:
(i) Add 4 to 9 (4 is the positive integer and 9 is the given integer)
= 4 + 9 = 13
13 > 9
(ii) Add 4 to -7 (4 is the positive integer and - 7 is the given integer)
= 4 + (- 7) = 4 - 7 = - 3
- 3 < 4
Thus, we see in the above cases, adding positive integer (4) to both positive and negative integers results in an integer which can be both smaller than and greater than the given number.
So, when a positive integer is added to an integer, the resulting integer is sometimes greater than the given integer. (Not always)
Question 12
1 / -0

Which of the following options shows the correct order of numbers?

A
-56 < 0 < 6 < -3 < 10

B
20 > -6 > 8 > 13 > 4

C
12 > 6 > 0 > -3 > -10

D
-27 < 8 < 6 < -10 < -3

Solution

The correct order is given in option (3).
12 > 6 > 0 > - 3 > - 10
The numbers are arranged from biggest to smallest.
12 is the biggest and -10 is the smallest of all the given numbers.
Hence, option (3) is correct.
Question 13
1 / -0

If total of 2 numbers is - 36 and one of the numbers is - 16, then find the second number.

A
20

B
16

C
- 16

D
- 20

Solution

According to question, let the second number be x.
We get,
- 16 + x = - 36
x = - 36 + 16
x = - 20
Hence, option (4) is correct.
Question 14
1 / -0

Find the value of -140 + 243 - (- 16) + 50 - 13 - (- 32).

A
145

B
154

C
170

D
188

Solution

According to given question,
- 140 + 243 + 16 + 50 - 13 + 32
= 103 + 66 - 13 + 32
= 169 - 13 + 32
= 156 + 32
= 188
Hence, option (4) is correct.
Question 15
1 / -0

Mithali walks 15 km towards West and then walks 8 km towards East. Now, his position is represented as
(East represents +ve and west represents -ve)

A
23 km

B
7 km

C
- 7 km

D
- 23 km

Solution

Distance towards West = - 15 km
Distance towards East = 8 km
Total distance = - 15 + 8
= - 7 km
Hence, option (3) is correct.
Question 16
1 / -0

Multiplying a positive and negative integer will always give a _______ result.

A
positive

B
negative

C
equal

D
zero

Solution

For example,
- 5 x 14 = - 70
So, it gives negative result.
Hence, option (2) is correct.
Question 17
1 / -0

Which of the following statements is true?

A
The sum of two negative integers sometimes gives negative result.

B
The sum of a negative and a positive integer sometimes gives negative result.

C
The sum of two positive integers is sometimes positive.

D
The sum of two negative integers is always 0.

Solution

Statement (2) is true.
For example, - 15 + 20 = 5
And, - 35 + 20 = - 15
So, sum of a positive and a negative integer sometimes gives a positive result and sometimes a negative result.
Statement 1: The sum of two negative integers sometimes gives negative result, which is false because sum of two negative integers always gives negative integers.
Statement 3: The sum of two positive integers is sometimes positive, which is false because sum of two positive integers is always positive.
Statement 4: The sum of two negative integers is always 0, which is false as well.
Hence, option (2) is correct.
Question 18
1 / -0

Find the number which is 8 units to the left of - 1 on the number line.

A
8

B
7

C
- 7

D
- 9

Solution

From the above number line, it can be seen that - 9 is 8 units to the left of - 1 on the number line.
Hence, option (4) is correct.
Question 19
1 / -0

Directions: Solve by subtracting - 3102 from (- 2150) - (- 6785).

A
- 7102

B
- 3465

C
5102

D
7737

Solution

By solving the given expression, we get
(- 2150) - (- 6785)
= - 2150 + 6785 = 4635
Now, 4635 - (- 3102)
= 4635 + 3102
= 7737
Hence, option (4) is correct.
Question 20
1 / -0

The temperature of a town on Monday was - 6°C and on Tuesday, it was 8°C. Find the temperature difference of these two days.

A
14°C

B
2°C

C
- 2°C

D
- 4°C

Solution

Temperature on Monday = - 6°C
Temperature on Tuesday = 8°C
Difference = 8 - (- 6)
= 8 + 6
= 14
So, difference is 14°C.
Hence, option (1) is correct.
Question 21
1 / -0

Sammy is earning Rs. 14,000 in a month. He spends Rs. 1,550 for purchasing his car fuel, Rs. 650 for purchasing clothes, Rs. 850 for purchasing vegetables, milk etc., Rs. 1,800 for purchasing books for his son and Rs. 5,000 for paying his loan installment. How much does he save in this month?

A
Rs. 4,150

B
Rs. 4,250

C
Rs. 4,450

D
Rs. 4,750

Solution

Salary of Sammy = Rs. 14,000
Total expenditure = (1,550 + 650 + 850 + 1,800 + 5,000)
= Rs. 9,850
Total savings = 14,000 - 9,850
= Rs. 4,150
Hence, option (1) is correct.
Question 22
1 / -0

In a set of 14 questions, 6 marks are awarded for every correct answer, - 3 marks for every wrong answer and 0 mark for non-attempted questions. Rahul attempted 12 questions. Out of that, he gets 10 correct and 2 wrong answers. What is his score?

A
60

B
54

C
50

D
48

Solution

Number of correct answers given by him = 10
Number of wrong answers given by him = 2
Number of non-attempted questions = 2
Therefore, his score = (6 × 10) + {(- 3) × 2} + (0 × 2) = 54
Hence, option (2) is correct.
Question 23
1 / -0

Sahil travelled to college 20 km North from his house. He then travelled to the football stadium 45 km South from college. Find the distance between the house and the stadium.

A
30 km

B
25 km

C
20 km

D
15 km

Solution

Distance between the house and football stadium = 45 - 20 = 25 km

Hence, option (2) is correct.
Question 24
1 / -0

Suman had Rs. 250 in her current account. She swiped her debit card for Rs. 128 and then, deposited Rs. 98 in her account and then made an online payment for buying some clothes for Rs. 80. Find the amount left in her account.
(Write the amount as an integer)

A
Rs. 180

B
Rs. 160

C
Rs. 140

D
Rs. 130

Solution

Total amount deposited = Rs. 98
Total amount paid for payments = 128 + 80 = Rs. 208
Amount left in her account = 250 + 98 - 208 = Rs. 140
Hence, option (3) is correct.
Question 25
1 / -0

In the morning, the temperature in the valley at 6 a.m. was - 3°C. In the afternoon, it rose to 4°C. By how many degrees did the temperature rise?

A
1°C

B
5°C

C
7°C

D
8°C

Solution

Temperature at 6 a.m = - 3°C
Temperature in the afternoon = 4°C
Therefore, Increase in temperature = 4 - (- 3) = 7°C
Hence, option (3) is correct.

Question 26

1 / -0

Fill in the blanks.

The additive identity of the integers is P .
The integer which is 9 more than - 30 is Q .
Every integer more than zero is R .

	P	Q	R
(A)	0	- 21	Positive
(B)	0	21	Negative
(C)	1	- 21	Negative
(C)	0	23	Positive

A

B

C

D

Solution

The additive identity of the integers is 0.
The integer which is 9 more than - 30 is - 21.
Every integer more than zero is positive.
Hence, option (1) is correct.

Question 27
1 / -0

Directions: Match Column I and Column II.

A
(i) - (d), (ii) - (b), (iii) - (c), (iv) - (a)

B
(i) - (a), (ii) - (b), (iii) - (c), (iv) - (d)

C
(i) - (c), (ii) - (b), (iii) - (d), (iv) - (a)

D
(i) - (b), (ii) - (a), (iii) - (d), (iv) - (c)

Solution

(i) Represents = 0 - 2 + 3 = - 2 + 3
(ii) Represents = 0 - 3 + 7 = - 3 + 7
(iii) Represents = 0 + 3 - 5 = 3 - 5
(iv) Represents = 0 - 2 + 2 = - 2 + 2
So, option (4) is correct.
Question 28
1 / -0

Which of the following statements is false?

(A) - 3 < 1, since - 3 lies on the left of 1 on the number line.
(B) 2 < - 3, since - 3 lies on the right of 2 on the number line.
(C) - 5 > - 6, since - 6 lies on the left of - 5 on the number line.
(D) - 2 > - 5, since - 2 lies on the right of - 5 on the number line.

A
(A)

B
(B)

C
(C)

D
(D)

Solution

2 > - 3, since 2 lies on the right of - 3 on the number line.
Hence, statement (B) is incorrect.
Question 29
1 / -0

Directions: State 'T' for True and 'F' for False.

(i) Since 4 < 6, therefore - 4 < 6
(ii) Since - 3 > - 4, therefore 3 > - 4
(iii) Since 2 > 1, therefore - 2 > - 1
(iv) Since 4 < 5, therefore 4 < - 5

A
(A)

B
(B)

C
(C)

D
(D)

Solution

(i) Since 4 < 6, therefore - 4 < 6. It is true.
(ii) Since - 3 > - 4, therefore 3 > - 4. It is True
(iii) Since 2 > 1, therefore -2 > -1. It is false as - 2 < - 1
(iv) Since 4 < 5, therefore 4 < - 5.It is false as 4 > - 5
Hence, option (1) is correct.

Question 30

1 / -0

Directions: Match the following.

Column - I	Column - II
(i) The Additive inverse of + 5	(a) 2
(ii) The Additive identity of Integer	(b) Negative
(iii) Every Integer less than zero is	(c) 0
(iv) The Integer which is 5 more than - 3 is	(d) - 5

(i) - (d), (ii) - (b), (iii) - (a), (iv) - (c)

(i) - (d), (ii) - (b), (iii) - (c), (iv) - (a)

(i) - (c), (ii) - (b), (iii) - (d), (iv) - (d)

(i) - (d), (ii) - (c), (iii) - (b), (iv) - (a)

Solution

(i) The additive inverse of + 5 is - 5.
(ii) The additive identity of integer is 0.
(iii) Every integer less than zero is negative.
(iv) The integer which is 5 more than - 3 is 2.
Hence, option (4) is correct.

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Re-Attempt Weekly Quiz Competition

Integers Test - 12

Result

Integers Test - 12

Score

-

Rank

-

SHARING IS CARING

Question 1

- 3

- 5

- 7

- 10

Solution

Question 2

- 89

- 85

- 67

- 52

Solution

Question 3

- 144

- 150

- 175

- 186

Solution

Question 4

Every whole number is an integer.

Every fraction can be expressed as an integer.

Every integer is a positive number.

None of these

Solution

Question 5

=

<

>

None of the above

Solution

Question 6

0

1

- 1

- 2

Solution

Question 7

A number does not change, if we multiply it and then divide the product by that same number.

When the dividend is composed of factors, we may divide any one of the factors.

The quotient will not change, if we multiply the dividend and divisor by the same number.

All of these

Solution

Question 8

Solution

Question 9

(- 4) + (- 7) = - 11

(- 4) - (- 7) = 3

- 4 - (- 7) - 2 = -1

- 4 + 7 + 2 = 5

Solution

Question 10

(- 3, - 8)

(- 5, - 9)

(- 7, - 1)

(- 7, - 8)

Solution

Question 11

sometimes greater than the given integer

always less than the given integer

the same as the given integer

always zero

Solution

Question 12

-56 < 0 < 6 < -3 < 10

20 > -6 > 8 > 13 > 4

12 > 6 > 0 > -3 > -10

-27 < 8 < 6 < -10 < -3

Solution

Question 13

20

16

- 16