Integers Test

Result

Integers Test - 10

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

Directions: The following number line shows temperature in degree Celsius (℃) at different places on a particular day:

What is the difference between temperatures of the hottest and the coldest place?

A
30℃

B
28℃

C
24℃

D
22℃

Solution

Temperature of the hottest place (Odisha) = 22℃
Temperature of the coldest place (Munsiari) = -8℃
Difference = 22℃ - (-8℃) = 22℃ + 8℃ = 30℃
Question 2
1 / -0

Directions: The following number line shows temperature in degree Celsius (0C) at different places on a particular day:

What is the temperature difference between Munsiari and Sikkim?

A
10℃

B
9℃

C
8℃

D
6℃

Solution

Temperature of Sikkim = -2℃
Temperature of Munsiari = -8℃
Difference = -2℃ - (-8℃) = -2℃ + 8℃ = 6℃
Hence, the temperature difference between Munsiari and Sikkim is 6℃.
Question 3
1 / -0

Find the value of:

A
1

B
-1

C
2

D
-2

Solution

=

= = 1

Question 4

1 / -0

Find A, B, C and D.

(a) The sum of two integers is 185; if one of them is 99, then the other will be ____A____.
(b) The product of an integer and ____B____ is 0.
(c) ____C____ is the quotient when an integer is divided by itself.
(d) Additive inverse of -9 is____D____.

	A	B	C	D
1	86	0	1	9
2	76	1	2	9
3	46	1	1	9
4	78	0	3	9

1

2

3

4 Solution

(a) Let the other integer be A.
One integer = 99
According to question, A + 99 = 185
A = 185 - 99
Other integer = A = 86

(b) Let the integer be y.
According to question, y x B = 0

B =

(c) Let the integer be y.

C = 1

(d) D = 9

Question 5
1 / -0

State which of the following statements is true .

(i) Every irrational number is a real number.
(ii) Every point on the number line is of the form , where m is a natural number.
(iii) Every real number is an irrational number.
(iv) Square roots of all positive integers are irrational.

A
(i)

B
(ii)

C
(iii)

D
(iv)

Solution

(i) It is a true statement because all rational and irrational numbers are real numbers.
(ii) It is a false statement because no negative number can be the square root of any natural number.
(iii) It is a false statement because rational numbers are also a part of real numbers.
(iv) It is a false statement because if we take a positive integer, say 4 its square root is 2, which is a rational number.
Question 6
1 / -0

Which of the following options best describes the problem shown on the given number line?

A
-8 - 4

B
-8 + 4

C
8 - 4

D
3 - 8

Solution

The arrow is moving towards left from 0 to -8, which means 8 is subtracted and gives -8 as first part of the expression. Then, from -8, the arrow is moving towards right, which means 4 is added and gives us 4.
So, -8 + 4 is the correct option.
Question 7
1 / -0

The value of (-8) x (-7) x (-6) x (-5) x (-4) x 0 + 0 x (4) x (5) x (6) x (7) x (8) is:

A
0

B
1

C
2

D
3

Solution

(-8) x (-7) x (-6) x (-5) x (-4) x 0 + 0 x (4) x (5) x (6) x (7) x (8)
= 0 + 0
= 0
Question 8
1 / -0

Directions: Read the following statements and choose the correct option accordingly.

Statement 1: A perfect number is a positive integer that is equal to the sum of its proper positive factors, that is, the sum of its positive factors excluding the number itself.

Statement 2: 6 and 28 are perfect numbers.

(a) Statement 1 is true, but statement 2 is false.

(b) Statement 1 is false, but statement 2 is true.

(c) Both the statements are true.

(d) Both the statements are false.

A
(a)

B
(b)

C
(c)

D
(d)

Solution

Statement 1: A perfect number is a positive integer that is equal to the sum of its proper positive factors, that is, the sum of its positive factors excluding the number itself.

Statement 2: The first perfect number is 6. Its factors are 1, 2 and 3 and 1 + 2 + 3 = 6.

Similarly, 28 is a perfect number: 28 = 1 + 2 + 4 + 7 + 14.
Question 9
1 / -0

In a magic square, each row, column and diagonal has the same sum. The values of A and B respectively are

A
-9 and -6

B
9 and 6

C
-8 and 7

D
-6 and 7

Solution

-5 + (-10) + (-3) = -5-10-3= -18

For the second row:
-4 + B - 8 = -18
B = -18 +12 = -6

Similarly, for the third row:
A-2 - 7 = -18
A = -18 + 9
A = -9

So, the values are:
A = -9
B = -6
(As the sum of the rows and columns is -18)
Question 10
1 / -0

Which of the following statements is CORRECT?

(A) All integers are whole numbers and all natural numbers are integers.
(B) All whole numbers are integers and all integers are natural numbers.
(C) All natural numbers are whole numbers and all whole numbers are integers.
(D) All integers are whole numbers and all integers are natural numbers.

A
A

B
B

C
C

D
D

Solution

All natural numbers such as 1,2,3,4 etc are whole numbers and all whole numbers such as 0,1,2,3,4 are integers (which include negative numbers also).
Question 11
1 / -0

The value of X in - 20 x (4 + (-2)) = -20 x 4 + (-20) x X, is

A
2

B
-19

C
6

D
-2

Solution

We have,
(-20) x (4 + (-2)) = -20 x 4 + (-20) x X
(-20) x (4 - 2) = -20 x 4 + (-20) x X
(-20) x (2) = - 20 x 4 + (-20) x X
-40 = -80 - 20X
40 = -20X
X = -2
Question 12
1 / -0

What will be the sign of the product if we together multiply 198 negative integers and 9 positive integers?

A
Negative

B
Positive

C
Cannot say

D
Insufficient data

Solution

Product of odd numbers of negative integers is always negative and product of even numbers of negative integers is always positive.

(Product of 198 negative integers) × (Product of 9 positive integers)

= Positive × Positive

= Positive
Question 13
1 / -0

Simplify 333 - [ (51 + (65 - (8 + 9))) + 110]

A
187

B
188

C
190

D
191

Solution

We have

333 - [(51 + (65- (8+9))) + 110]

= 333 -[(51 + ( 65 - 17)) + 110]

= 333 - [ ( 51 + 48) + 110]

= 333 - [ (99) + 110]

= 333 - [33 + 110]
= 333 - 143
= 190
Question 14
1 / -0

Which pair of numbers does not have a product equal to 72?

A
(-8,-9)

B
(-6,-12)

C
(8, -9)

D
(6,12)

Solution

1. (-8) x (-9) = 72
2. (-6) x (-12) = 72
3. (8) x (-9) = -72
4. (6) x (12) = 72
So, option 3 is the answer.
Question 15
1 / -0

Which of the following lists of integers is in descending order?

A
6, 1, -6, 12, 4

B
6, 12, -6, 4, 1

C
12, 6, 1, -4, -6

D
-6, -4, 1, 6, 12

Solution

Option 3 is the correct answer as 12 is the largest and -6 is the smallest integer.
Question 16
1 / -0

Which of the following lines represents -3 - 4?

A
(A)

B
(B)

C
(C)

D
(D)

Solution

-3 - 4.
We have to start from 0 and mark -3, then move 4 steps again in the negative direction.
So, -3 - 4 = -7.
Question 17
1 / -0

Find the value of the given expression.

(-62) - (21) + 36 - 25 - (-102) + 31+ (-21)

A
-40

B
35

C
40

D
42

Solution

(-62) - (21) + 36 - 25 - (-102) + 31 + (-21)
= -62 - 21 + 36 - 25 + 102 + 31 - 21
= -129 + 169 = 40
Question 18
1 / -0

The absolute value of -25 + 16 + 31 - 53 is

A
-125

B
-31

C
31

D
125

Solution

Absolute value means the non-negative value of a number.
I-25 + 16 + 31 - 53I
= I-78 + 47I
= I- 31I
= 31
Question 19
1 / -0

If m and n are integers such that m ≠ n, then which of the following is CORRECT?

A
2(m - n) = 2(n - m).

B
m + n + 7 = m + n + 6.

C
5(m + n) = 5(n + m).

D
6(m - n) = 6(n - m).

Solution

Since m + n = n + m;
5(m + n) = 5(n + m).
Question 20
1 / -0

In an exam, 6 marks are given for every correct and -3 marks are given for every incorrect answer. Jatin scored 33 though he got only 10 answers correct and Vinay got 6 marks though he got 9 answers correct. How many questions did each answer incorrectly?

A
9, 16

B
10, 18

C
7, 14

D
5, 12

Solution

Jatin scored 32.

Correct answer = 10.

Let x be the number of questions which Jatin answered incorrectly.

According to the question,

10 x 6 + x x(-3) = 33
60 - 3x = 33
-3x = 33 - 60
-3x = -27
x = 9
Vinay scored 6.

Correct answer = 9

Let y be the number of questions incorrectly answered by Vinay.
According to the question,
9 x 6 + y x (-3) = 6
54 - 3y = 6
3y = 54 - 6
y = 16
Question 21
1 / -0

A person writes some integers on a notebook randomly. The numbers were -15, 6, -11, -16, 10, 9, and 18. What is the total of the numbers?

A
8

B
-8

C
9

D
1

Solution

Total of integers = -15 + 6 + ( - 11) + ( - 16) + 10 + 9 + 18

= -15 -11 -16 + 6 + 10 + 9 + 18

= -42 + 43

= 1
Question 22
1 / -0

Raj travels 75 km towards north from a point X to a point Y. From point Y, he travels 67 km towards south. If the distance travelled towards south is represented in negative integers, then how will you represent the distance travelled towards north? By which integer will you represent his final distance (in km) from X?

A
Negative integer, 5

B
Positive integer, 6

C
Positive integer, 8

D
Negative integer, 9

Solution

The distance travelled towards north will be expressed in positive integers, because we are taking distance towards south in negative integers.
Final position = (75 km - 67 km) = 8 km
Question 23
1 / -0

Labourers are cementing a well at the rate of 9 m per hour. If they start from 2.5 m above the ground level, then how long will it take for them to reach 65 m below the ground?

A
4.5 hours

B
6 hours

C
6.5 hours

D
7.5 hours

Solution

Total length to be cemented = 2.5 + 65 = 67.5 m
Speed = 9 m per hour

Time =

So, time taken =
= 7.5 hours
Question 24
1 / -0

In Manali, on a particular day, the temperature is reducing by 2°C every hour. If the temperature at 5 p.m. was 24°C, then what will be the temperature at 11 p.m.?

A
9^oC

B
10^oC

C
11^oC

D
12^oC

Solution

The temperature at 5 p.m = 24^oC
Reduction every hour = 2^oC
Total drop in temperature in 6 hours = 2 x 6 = 12^oC
Therefore, temperature at 11 p.m. = 24 - 6 x 2 = 24 - 12 = 12^oC

Question 25

1 / -0

Radhika earns a profit of Rs.10 for every bouquet she sells, but suffers a loss of Rs. 3 if she sells only one flower. She cannot sell only bouquets as she has to sell single flowers as well, according to the demand of the customers.

(i) If she gets an order to supply 500 bouquets and 3000 single flowers, what is the profit or loss she will make from this order?
(ii) If the next order she gets is of 7200 single flowers, then how many bouquets should she sell to make neither profit nor loss?

	(i)	(ii)
A	Profit of Rs. 4000	2160
B	Loss of Rs. 4000	2160
C	Profit of Rs. 4500	2963
D	Loss of Rs. 4500	2963

A

B

C

D

Solution

(i) Profit on bouquets = (500 x 10) = Rs.5000
Loss on single flowers = (3000 x 3) = Rs.9000
Total loss = 9000 - 5000 = Rs. 4000

(ii) Loss on single flowers = 7200 x 3 = Rs.21600
Let the number of bouquets be x.
Profit on bouquets =Rs. 21600
10x = Rs.21600
x = = Rs. 2160

Question 26

1 / -0

The number line shows different temperatures noted in a city at different times.

(i) The temperature difference between early morning and late night is P.
(ii) The temperature difference at 11 a.m and 11 p.m. is Q.
(iii) The difference of temperature in the evening and early morning is R.

Find the values of P, Q, and R.

	P	Q	R
A	14	10	7
B	4	10	8
C	-14	-10	-7
D	-4	-10	-8

A

B

C

D

Solution

(P) Difference of temperature
= 9 - (-5)
= 9 + 5 = 14

(Q) Difference of temperature
= 9 - (-1)
= 10

(R) Difference of temperature
= 2 - (-5)
= 7

Question 27

1 / -0

Match the following.

(1) a × b	(a) positive
(2) Any two negative numbers multiplied together give the result in	(b) negative
(3) Distributive Property	(c) b × a
(4) -5 multiplied three times by itself will give the result in	(d) (a + b) + c = a + (b + c)

1 - c, 2 - b, 3 - d, 4 - a

1 - d, 2 - a, 3 - b, 4 - c

1 - c, 2 - a, 3 - d, 4 - b

1 - b, 2 - a, 3 - d, 4 - c

Solution

The correct answer is: 1 - c, 2 - a, 3 - d, 4 - b

1. The commutative property says it doesn't matter which order you add or multiply two numbers in: a x b = b x a

2. Any two negative numbers, e.g. -2 x -3 = 6, will give a positive number as a result.

3. The distributive property tells you what happens if you add two numbers and multiply the sum by another number.
This formula is a x (b + c) = a x b + a x c.

4. -5 x -5 x -5 = -125, so the answer is negative.

Question 28

1 / -0

State T for true and F for false.

(i)	The product of even number of negative integers is always positive.
(ii)	To balance the equation same number should be multiplied to both the sides.
(iii)	For any three integers p, q, and r (p + q) + r = p + (q + r).
(iv)	The addition and subtraction can be shown on the number line.

	i	ii	iii	iv
A	T	F	F	T
B	T	F	T	F
C	F	T	T	T
D	T	T	T	T

A

B

C

D

Solution

(i) When even number of negative integers are multiplied the result is always positive.
(ii) When an equation is multiplied by same number then there is no effect on the equation.
This is also true for adding and subtracting the same number from both the sides.
(iii) Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends. For example, (2 + 3) + 4 = 2 + (3 + 4)
(iv) Addition and subtraction can be done using number line.

Question 29
1 / -0

Fill in the blanks with >, < or =

(i) 11 x (-5) + 24 ÷ 6 _____ 22 ÷ 2 + 5 x (-3)
(ii) 25 x 3 - 2 x 15 _____ 12 x 3 - 27 ÷ 3
(iii) (78 ÷ 3) x 5 x 0 ______ 12 x 0 x 3 x 6

A
(i) <, (ii) >, (iii) =

B
(i) <, (ii) <, (iii) =

C
(i) =, (ii) >, (iii) =

D
(i) >, (ii) >, (iii) =

Solution

(i) 11 x (-5) + 24 ÷ 6 _____ 22 ÷ 2 + 5 x (-3)
= -55 + 4 _____11 - 15
= -51 < -4

(ii) 25 x 3 - 2 x 15 _____ 12 x 3 - 27 ÷ 3
= 75 - 30 _______ 36 - 9
= 45 >27

(iii) (78 ÷ 3) x 5 x 0 ______ 12 x 0 x 3 x 6
= 0

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Integers Test - 10

Result

Integers Test - 10

Score

-

Rank

-

SHARING IS CARING

Question 1

30℃

28℃

24℃

22℃

Solution

Question 2

10℃

9℃

8℃

6℃

Solution

Question 3

1

-1

2

-2

Solution

Question 4

1

2

3

4

Solution

Question 5

(i)

(ii)

(iii)

(iv)

Solution

Question 6

-8 - 4

-8 + 4

8 - 4

3 - 8

Solution

Question 7

0

1

2

3

Solution

Question 8

(a)

(b)

(c)

(d)

Solution

Question 9

-9 and -6

9 and 6

-8 and 7

-6 and 7

Solution

Question 10

A

B

C

D

Solution

Question 11

2

-19

6

-2

Solution

Question 12

Negative

Positive

Cannot say

Insufficient data

Solution

9^oC

10^oC

11^oC