Integers Test

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Integers Test - 10

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Weekly Quiz Competition

Question 1
1 / -0

The integer which is 10 more than ((-3)+10) is _______________.

A
7

B
17

C
27

D
37

Solution

-3+10 = 7
According to the question,
7 + 10 = 17
Question 2
1 / -0

Which among the following is the smallest integer?

A
-58

B
-56

C
0

D
50

Solution

Out of all the options, -58 (Option 1) is the smallest.
Question 3
1 / -0

The sum of -52, 10, 60, -18 is

A
10

B
6

C
0

D
-8

Solution

- 52 + 10 + 60 - 18 = 70 - 70 = 0
So, the sum of the given numbers is '0'
Question 4
1 / -0

Which of the following statements is definitely true?

A
All the natural numbers are not integers.

B
Natural numbers and whole numbers are the same thing.

C
All negative numbers come under the category of whole numbers.

D
All the whole numbers are integers.

Solution

All the whole numbers are integers. Hence, option 4 is true.
Question 5
1 / -0

Which of the following sides is bigger? Select the right symbol for the box.

(-3) + (-9) + 12 (-12) + (-5) + 17

A
>

B
<

C
=

D
None of the above

Solution

Left hand side = (-3) + (-9) + 12
- 3 - 9 ÷ 12 = -1
Right hand side = (-12) + (-5) + 17
-12 - 5 ÷ 17 = -1
Thus, the symbol '='.
Question 6
1 / -0

Numbers on the right hand side of '0' on a number line are known as __________________.

A
negative numbers

B
positive numbers

C
zero

D
None of the these

Solution

Numbers on the right hand side of '0' on a number line are known as positive numbers.
Question 7
1 / -0

Which of the following statements is a wrong statement?

A
If two opposite sign numbers are multiplied, they cancel out each other to give no sign to the product.

B
Two negative numbers added together will give a negative number as result.

C
A negative number is always smaller than a positive number.

D
None of the above

Solution

Option 1 is not true, as a negative and a positive number gives a negative number after multiplication.
e.g. 10 x (-5) = -50
Question 8
1 / -0

Which one of the following options shows the maximum drop in temperature?

A
5° to 0° C

B
-5° to -8° C

C
0° to -12° C

D
12° to 2° C

Solution

0° to -12° C shows the maximum drop in the temperature. (12° C of drop)
Question 9
1 / -0

Which of the following options is incorrect?

A
Zero > Negative numbers

B
Positive numbers > Negative numbers

C
Zero < Positive numbers

D
None of the above

Solution

Option 1 is correct.
Option 2 is correct.
Option 3 is correct.
So, All the statements are right.
Hence, option 4 is the answer (None of the above).
Question 10
1 / -0

Select the option, in which first number is not on the right of the second number on the number line?

A
{-6,-9}

B
{-4, -5}

C
{-10,-5}

D
{0,-4}

Solution

-10 is to the left of -5, on the number line.
Question 11
1 / -0

Zero is ______________ every positive integer.

A
greater than

B
smaller than

C
equal to

D
None of these

Solution

Positive integers are 1,2,3,4...........and so on
All these integers are positive and are greater than zero.Therefore, 0 is less than positive integers.
Question 12
1 / -0

Which of the following is correct?

A

B

C

D

Solution

When we move towards left of zero, numbers are decreasing and when we move towards right, numbers are increasing.
Thus, is the correct option.
Question 13
1 / -0

The sum of two integers is -80. If one of them is 45 , then the other one is

A
-120

B
-125

C
-140

D
-150

Solution

Let the other integer be x.
According to the question,
x + 45 = -80
x = -80 - 45
x = -125
Question 14
1 / -0

The value of - 45 + (-10) - (-60) -30 + 150 - 120 is

A
-5

B
5

C
10

D
-10

Solution

10 + 60 - 30 + 150 - 120
-55 + 60 -30 + 150 - 120
-85 + 210 - 120
-205 + 210
= 5
Question 15
1 / -0

Sahil walked 10 km towards north and then 25 km towards south. Now, his position is represented as (North represents +ve and South reprents -ve)

A
+15 km

B
-15 km

C
+25 km

D
-20 km

Solution

Distance covered by Sahil= 10 + (-25) = -15 km
Question 16
1 / -0

Multiplying a negative integer for odd number of times gives a ___________ result.

A
positive

B
negative

C
0

D
Both (A) and (B)

Solution

Let the negative integer be -5
Multiplying this integer 5 times that is odd.
=-3125
So, we get a negative number.
Question 17
1 / -0

Which of the following sentences is not correct?

A
When positive integers are added, we get a positive integer.

B
When one positive and one negative integer is added, symbol is decided by the greatest integer.

C
When negative integers are added, we get a positive integer.

D
All are correct

Solution

1. When positive integers are added , we get positive integer.
For eg. 10+5=15
2.When one positive and one negative integer is added, symbol is decided by the greatest integer.
-15 + 5 = -10
3.When negative integers are added, we get a positive integer.
For example, -15-20 =- 35
Hence, option 3 is NOT correct.
Question 18
1 / -0

When we move 7 units to left of zero starting from a zero on a number line, we get

A
+8

B
-8

C
+7

D
-7

Solution

As we can see in this number line, when we move 7 units to the left, we reach at -7.
Question 19
1 / -0

Add -5140 to the subtraction of [(-1300) - (-8140)]

A
12000

B
1700

C
10000

D
9000

Solution

According to the question,
-1300 + 8140 + (-5140)
-1300 + 8140 - 5140
-6440 + 8140 = 1700
Question 20
1 / -0

Sahib and Sahil visit two places in Canada - one is Toronto and the other is Surrey. They find that the temperature of Surrey is -15°C and that of Toronto is -20°C. Which state is colder?

A
Surrey is colder than Toronto.

B
Toronto is colder than Surrey.

C
There is a difference of 0° in the temperatures.

D
None of these

Solution

Toronto is colder than Surrey.
-20°C is colder than -15°C.
Question 21
1 / -0

Rahul's saved Rs. 18,000 in a year from his pocket money. Out of which, he spent Rs. 5,500 on his cricket kit and Rs. 1,500 for his gym fees. Also, he spent Rs. 1,200 on his mobile bills. How much money is he left with after all these expenses?

A
Rs. 9,800

B
Rs. 9,600

C
Rs. 8,800

D
Rs. 8,,600

Solution

Rahul's saving's = Rs. 18,000
Total expenses = Rs. 5,500 + Rs. 1,500 + Rs. 1,200 = Rs. 8,200
Saving's after expenses = Rs. 18,000 - Rs. 8,200 = Rs. 9,800
Question 22
1 / -0

In an interview there was a test conducted which was of 16 questions, 3 marks are awarded for each correct answer and -1 mark was for every wrong answer. Sahil gets 11 questions correct and 5 question wrong. What was the total score of Sahil in the test?

A
28

B
48

C
38

D
18

Solution

Sahil gets 11 questions correct = 11 x 3 = 33
Sahil gets 5 questions incorrect = 5 x - 1= -5
Total score of Sahil in the test = 33 - 5 = 28
Question 23
1 / -0

Ravi travelled to market which is 5 km from his house in east direction, then he travelled towards south for 14 km to reach the playground. What is the total distance travelled by Ravi from his house to the playground?

A
14 km

B
19 km

C
5 km

D
20 km

Solution

Let O be his house and P is the playground.
Total distance travelled = 5 + 14 = 19 km.
Question 24
1 / -0

Raman, a businessman, has Rs. 23,598 in his bank account. He withdraws Rs. 3,598 for filling petrol in his car and Rs. 15,000 for his shop rent. How much money is left in his bank account?

A
Rs. 6,000

B
Rs. 5,700

C
Rs. 5,000

D
Rs. 4,500

Solution

Bank balance = Rs. 23,598
Amount withdrawn = Rs. 3,598 + Rs. 15,000 = Rs. 18,598
Money left = 23,598 - 18,598 = Rs. 5,000
Question 25
1 / -0

The temperatures of Ludhiana and Bathinda are 17°C and 13°C respectively at 7:00 pm in evening on a particular day. But if we see the temperatures at midnight on the same day they were 10°C and 5°C respectively. What is the total drop in temperature of the two cities from evening to midnight?

A
15°C

B
17°C

C
13°C

D
5°C

Solution

Total temperature of two cities that is Ludhiana and Bathinda at 7:00 pm in evening = 17 + 13 = 30°C
Total temperature of two towns that is Ludhiana and Bathinda at midnight = 10 + 5 = 15°C
Decrease in temperature = 30°C - 15°C = 15°C
Question 26
1 / -0

Fill in the blanks.

(1) The additive inverse of 4 is ____________
(2) The integer which is 4 less than -48 is______________
(3) Every integer greater than zero is _______________

A
(1) -4 (2) -52 (3) positive

B
(1) -4 (2) -52 (3) negative

C
(1) -4 (2) 52 (3) positive

D
(1) 0 (2) -52 (3) positive

Solution

(1) The additive inverse of 4 is -4
(2) the integer which is 4 less than -48 is (-48 - 4 = -52)
(3) From this number line , it is clear that every integer greater than zero is positive.
Question 27
1 / -0

Match the following:

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

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

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

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

Solution
Question 28
1 / -0

Which of the following statements is incorrect?

A
-3 < 0 since -3 lies on the left of 0 on the number line

B
3 < -3 since -3 lies on the right of 3 on the number line

C
0 < 3 since 0 lies on the left of 3 on the number line

D
-3 < -5 since -3 lies on the right of -5 on the number line.

Solution

3 < -3 since -3 lies on the right of 3 on the number line - Incorrect statement.
As we can see that -3 lies on the left side of 3 on the number line.
Question 29
1 / -0

State 'T' for true and 'F' for false

1.Sum of integers and their additive inverse is always zero.
2. -3 is less than -6
3.The difference of three different integers can be zero.
4.Integers do not include natural numbers.

A
(1) - T, (2) - F, (3) - T, (4) - F

B
(1) - F, (2) - T, (3) - T, (4) - F

C
(1) - F, (2) - T, (3) - T, (4) - T

D
(1) - T, (2) - T, (3) - T, (4) - F

Solution

1. Let the integer be -1 and its additive inverse is -1.
Sum = -1 + 1 = 0
2. If we see this number line -3 is greater than -6.

3. Let the three integers be -1,-2 and +3.
Sum = -1 - 1 + 3 = -3 + 3 = 0
4. All the numbers, either negative or positive are integers. So, integers involve natural numbers.

Question 30

1 / -0

Match the following:

Column I	Column II
1. The difference of the greatest negative integer and smallest positive integer is	-4
2. The sum of additive inverse is	-2
3. The sum of predecessor and successor of 1 is	0
4. The additive inverse of 4 is	1

(1) -4, (2) 0, (3) 2, (4) 1

(1) -2, (2) 0, (3) 1, (4) -4

(1) 0, (2) 1, (3) -2, (4) -4

None of these

Solution

1. The smallest positive integer is +1 and greatest negative integer is -1
Difference -1-1 = -2
2. Let the number be 3 and its additive inverse be -3,
Sum of additive inverse = 3 + (-3) = 3 - 3 = 0
3. The sum of predecessor and successor of 1 = 0 + 1 = 1
4. The additive inverse of 4 is -4.

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Integers Test - 10

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Integers Test - 10

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SHARING IS CARING

Question 1

7

17

27

37

Solution

Question 2

-58

-56

0

50

Solution

Question 3

10

6

0

-8

Solution

Question 4

All the natural numbers are not integers.

Natural numbers and whole numbers are the same thing.

All negative numbers come under the category of whole numbers.

All the whole numbers are integers.

Solution

Question 5

>

<

=

None of the above

Solution

Question 6

negative numbers

positive numbers

zero

None of the these

Solution

Question 7

If two opposite sign numbers are multiplied, they cancel out each other to give no sign to the product.

Two negative numbers added together will give a negative number as result.

A negative number is always smaller than a positive number.

None of the above

Solution

Question 8

5° to 0° C

-5° to -8° C

0° to -12° C

12° to 2° C

Solution

Question 9

Zero > Negative numbers

Positive numbers > Negative numbers

Zero < Positive numbers

None of the above

Solution

Question 10

{-6,-9}

{-4, -5}

{-10,-5}

{0,-4}

Solution

Question 11

greater than

smaller than

equal to

None of these

Solution

Question 12

Solution

Question 13

-120

-125

-140