Integers Test

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Integers Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

Geetika is thinking of a number which is 7 more than [-9 + [-5]]. Find the number.

A
-7

B
7

C
-14

D
14

Solution

Required integer = 7 + [-9 + [-5]]
= 7 + [-9 - 5] = 7 - 14 = -7
Question 2
1 / -0

Which of the following is the smallest integer?

A
-75

B
-83

C
-79

D
-78

Solution

Integer means a whole number; a number that is not a fraction.
Hence, -83 is the smallest integer.
Question 3
1 / -0

The sum of (-19 - 20) and (25 - (-45)) is

A
23

B
29

C
31

D
37

Solution

Required sum is
(-19 - 20) + (25 - (-45))
= -39 + 70 = 31
Question 4
1 / -0

Which of the following is true?

A
Positive numbers natural numbers rational numbers

B
Natural numbers whole numbers rational numbers

C
Whole numbers natural numbers positive numbers

D
None of these

Solution

All positive numbers are natural numbers and all natural numbers are rational numbers.
Question 5
1 / -0

Which of the following signs will fill the blank to make the expression true?

[-7] - [-4] + 3____ [-7] + [-4 - 3]

A
>

B
=

C
<

D
None of these

Solution

LHS = [-7] - [-4] + 3 = -7 + 4 + 3 = -7 + 7 = 0
RHS = -7 -4 -3 = -14
Now, 0 > -14
Question 6
1 / -0

Kajal wants to explain the relationship between whole numbers and natural numbers. Out of the given options which would be the correct definition?

A
Every whole number is a natural number except -1.

B
Every whole number is a natural number except 0.

C
Every whole number is a natural number except 1.

D
Every whole number is a natural number except infinity.

Solution

Every whole number is a natural number except 0. Whole numbers start from zero and natural numbers start from 1. Hence, option 2 is correct.
Question 7
1 / -0

Select the correct statement.

A
A negative number multiplied by a negative number gives a positive number.

B
A positive number multiplied by a negative number gives a positive number.

C
A positive number multiplied by a positive number gives a negative number.

D
None of these

Solution

When a negative number is multiplied by a negative number it gives a positive number. Hence, statement 1 is correct.
Example -2 × -2 = 4.
Question 8
1 / -0

Roshini is observing the change in temperature. Which among the following shows the minimum rise in temperature?

A
0°C to 12°C

B
-6°C to 7°C

C
-12°C to 12°C

D
-15°C to -1°C

Solution

1. Rise in temperature = [12 - 0] = 12°C
2. Rise in temperature = 6- [-7] = 13°C
3. Rise in temperature= 12- [-12] = 24°C
4. Rise in temperature= -1- [-15] = 14°C
Question 9
1 / -0

Which of the following is correct?

A
-5 > 0 > 5

B
-2 < 0 > 2

C
-9 < 0 < 1

D
-2 > 0 < 2

Solution

By looking at the number line:

-9 is smaller than 0 and 0 is smaller than 1.
-9 < 0 < 1 is the correct order.
Question 10
1 / -0

What will you get, if you subtract 5 from 2?

A
-3

B
-2

C
2

D
3

Solution

2 - 5 = -3
Question 11
1 / -0

Every whole number is ______ than/to every negative integer.

A
greater

B
smaller

C
equal

D
None of these

Solution

Positive integers are all whole numbers greater than zero: 1, 2, 3, 4, 5 and negative integers are opposites of these whole numbers: -1, -2, -3, -4, -5.
Hence, every whole number is greater than every negative integer.
Question 12
1 / -0

Which of the following is correct?

A
-9 < - 3 < 0 < 3 > -2

B
-9 > -3 < 0 < 3 < -2

C
-9 > -3 < 0 > 3 < -2

D
-9 > -3 < 0 < 3 > -2

Solution

Correct order is -9 < -3 < 0 < 3 > -2
By looking at the number line, we get option 1 as the correct answer.
Question 13
1 / -0

The sum of two integers is -45. If one of them is -25, then the other is

A
-21

B
-20

C
-18

D
None of these

Solution

One number is -25
Let the other one be x.
According to question,
-25 + x = - 45
x = - 45 + 25
x = -20
Question 14
1 / -0

The value of [-125] + [-35] + 15 + [-136] + [-224] + 750 - [-25] is

A
175

B
-270

C
-175

D
270

Solution

We have
[-125] + [-35] + 15 + [-136] + [-224] + 750 - [-25]
= [-125 - 35 - 136 - 224] + [15 + 750 + 25]
= -520 + 790 = 270
Question 15
1 / -0

Garima cycled 15 km towards west and then cycled 10 km towards east. If west is represented by +ve and east is represented by -ve. What is her final position with respect to starting point?

A
-5 km

B
+5 km

C
+25 km

D
-25 km

Solution

West represents positive and east represents negative.
Distance covered = 15 + [-10] = 5 km
Question 16
1 / -0

An even number multiplied by an even number would result in which of the following?

A
Even number

B
Odd number

C
Negative number

D
Sometimes even number and sometimes odd number

Solution

Even number multiplied by an even number will give an even result.
For example: 2 × 4 = 8
Question 17
1 / -0

Which of the following options shows the given expression?

-9 + 6 = -3

A
When two positive integers are added, we get a positive result.

B
When two negative integers are added, we get a negative result.

C
Positive integer added with a negative integer can sometimes give a negative result.

D
None of these

Solution

-9 + 6 = -3
This equation shows when a positive integer added with a negative integer can sometimes give a negative result.
Question 18
1 / -0

The integer, 7 units to the left of 0 on the number line is

A
7

B
-7

C
6

D
-6

Solution

By looking at the number line, it is seen that the integer 7 units to the left of 0 will be -7.
Question 19
1 / -0

If we add -7,895 to the sum of [[-3,600] + [-3,060]], we get

A
-14,555

B
-1,235

C
-250

D
250

Solution

We have [[-3,600] + [-3,060]]
= -3,600 - 3,060 = -6,660
Required number = -6,660 + [-7,895]
= -6,660 -7,895 = -14,555
Question 20
1 / -0

The temperature on Mount Everest on Monday was -6°C and on Tuesday it was -10°C. Which of the following statements is true?

A
Monday was colder than Tuesday.

B
Tuesday was colder than Monday.

C
There is a difference of 3°C between the temperatures.

D
On Monday the temperature was 6°C more than that on Tuesday.

Solution

Since -10 lies on the left side of -6 on the number line.
So, -10°C < -6°C
Therefore, Tuesday was colder than Monday.
Question 21
1 / -0

Jack earns Rs. 15,400 per month. He spends Rs. 4,000 on rent, Rs. 1,500 on clothing, Rs. 3,500 on food and Rs. 2,000 on transportation. How much does he save?

A
Rs. 4,400

B
Rs. 4,000

C
Rs. 3,600

D
Rs. 3,800

Solution

Jack's income = Rs. 15,400
Total expenditure = 4,000 + 1,500 + 3,500 + 2,000 = Rs. 11,000
Total savings = 15,400 - 11,000 = Rs. 4,400
Question 22
1 / -0

In an examination, students are awarded 5 points for each correct answer and -2 points for each wrong answer. If a student gave 10 correct answers and 5 wrong answers, then how many points did he score in the exam?

A
50

B
40

C
30

D
20

Solution

Number of right answers = 10
Number of wrong answers = 5
So, his score will be
10 × 5 + [ -2 × 5]
= 50 - 10 = 40
Question 23
1 / -0

Garima walked from her house to a park which is 15 km in north direction, and then cycled to the playground which is 45 km to the south. Find out the distance she needs to travel back to house from the playground.

A
60 km

B
45 km

C
30 km

D
15 km

Solution

The distance between the house and playground is 45 - 15 = 30 km.
Question 24
1 / -0

Amrita had a jar. She put 150 cookies in the jar. She ate 120 cookies from the jar, then added 50 in the jar and then again ate 65 cookies. How many cookies were left in the jar?

A
50

B
15

C
25

D
35

Solution

Total number of cookies in the jar = 150
Number of cookies ate by Amrita = 150 - 120 = 30
Number of cookies again added in the jar = 50
Total number of cookies in the jar now = 30 + 50 = 80
Number of cookies again ate by her = 65
Cookies left in the jar = 80 - 65 = 15
Question 25
1 / -0

The temperature in Shimla on Monday was 2°C and on Tuesday it was -6°C. Find out the fall in temperature.

A
8°C

B
4°C

C
3°C

D
6°C

Solution

Temperature on Monday = 2°C
Temperature on Tuesday = -6°C
Fall in temperature = [2 - [-6]]°C = 8°C.
Question 26
1 / -0

Fill in the blanks:

(i) The multiplicative identity of integers is __A__
(i) The integer which is 9 more than -36 __B__
(iii) Every integer more than zero is __C__

A
A : 1, B : -27, C : positive

B
A : 0, B : 27, C : positive

C
A : 0, B : 27, C : negative

D
A : 1, B : -25, C : positive

Solution

(i) The multiplicative identity of integers is 1.
(ii) Integer which is 9 more than -36 will be (-36 + 9) -27
(iii) Every integer more than zero is positive.
Question 27
1 / -0

Which of the following options shows the correct match of column I and column II?

A
(i) - a

B
(ii) - b

C
(iii) - c

D
(iv) - d

Solution

- 6 + 8 = 2 which is correct and it is linked with column I and column II.
Question 28
1 / -0

Which of the following statements is correct?

A
9 < -1, since -1 lies on left of 9 on the number line.

B
-5 > - 6, since -5 lies on the right of -6 on the number line.

C
-3 < - 7, since -3 lies on left of -7 on the number line.

D
-2 > -1, since -1 lies on right of -2 on the number line.

Solution

By looking at the number line, -5 > -6.
Only statement 2 is correct as -5 > - 6 , since -5 lies on the right of -6 on the number line.
Question 29
1 / -0

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

(i) If -9 < -8, then 9 < 8
(ii) The product of a number and its multiplicative inverse is zero.
(iii) Difference of any two consecutive whole numbers is always 1.
(iv) The product of two positive numbers is sometimes negative.

A
(i) - F, (ii) - F, (iii) - T, (iv) - F

B
(i) - T, (ii) - F, (iii) - T, (iv) - F

C
(i) - F, (ii) - F, (iii) - T, (iv) - T

D
(i) - F, (ii) - T, (iii) - T, (iv) - F

Solution

(i) If -9< -8, then 9 < 8 , it is false as 9 > 8. (False)
(ii) The product of a number and its multiplicative inverse is zero which is false because the multiplicative inverse of a fraction is . For the multiplicative inverse of a real number, divide 1 by the number. So, The product of a number and its multiplicative inverse is always one. (False)
(iii) Difference of any two consecutive whole numbers is always 1. For example: 6 - 5 = 1 (True)
(iv) The product of two positive numbers is sometimes negative which is false because The product of two positive numbers is always positive.

For example - 6 × 5 = 30

Question 30

1 / -0

Match the following:

Column I	Column II
(i) The multiplicative inverse of 6	(a) -1
(ii) The smallest positive integer	(b)
(iii) The greatest negative integer less than zero	(c) 3
(iv) Product of successor and predecessor of 2	(d) 1

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

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

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

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

Solution

(i) The multiplicative inverse of 6 is .
(ii) The smallest positive integer is 1.
(iii) The greatest negative integer less than zero is -1.
(iv) Product of successor and predecessor of 2 is 1 × 3 = 3.

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Integers Test - 11

Result

Integers Test - 11

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SHARING IS CARING

Question 1

-7

7

-14

14

Solution

Question 2

-75

-83

-79

-78

Solution

Question 3

23

29

31

37

Solution

Question 4

Positive numbers natural numbers rational numbers

Natural numbers whole numbers rational numbers

Whole numbers natural numbers positive numbers

None of these

Solution

Question 5

>

=

<

None of these

Solution

Question 6

Every whole number is a natural number except -1.

Every whole number is a natural number except 0.

Every whole number is a natural number except 1.

Every whole number is a natural number except infinity.

Solution

Question 7

A negative number multiplied by a negative number gives a positive number.

A positive number multiplied by a negative number gives a positive number.

A positive number multiplied by a positive number gives a negative number.

None of these

Solution

Question 8

0°C to 12°C

-6°C to 7°C

-12°C to 12°C

-15°C to -1°C

Solution

Question 9

-5 > 0 > 5

-2 < 0 > 2

-9 < 0 < 1

-2 > 0 < 2

Solution

Question 10

-3

-2

2

3

Solution

Question 11

greater

smaller

equal

None of these

Solution

Question 12

-9 < - 3 < 0 < 3 > -2

-9 > -3 < 0 < 3 < -2

-9 > -3 < 0 > 3 < -2

-9 > -3 < 0 < 3 > -2

Solution