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All questions of Mathematics for Class 8 Exam
36 x K is a perfect cube number, then K = ______a)6b)5c)4d)3Correct answer is option 'A'. Can you explain this answer?
 | Kavya Saxena answered |
6×6=36 and 36×6=216, which is the cube of 6.
Solve: 3x = 12- a)15
- b)4
- c)9
- d)3
Correct answer is 'B'. Can you explain this answer?
Solve: 3x = 12
a)
15
b)
4
c)
9
d)
3
 | Priya Nair answered |
3x = 12
3x = 12
3x = 12
x = 12/3
x = 4
or
Divide both sides by 3 to get x
3x/3 = 12/3
x = 4
3x/3 = 12/3
x = 4
There are 2 Red, 3 Blue and 5 Black balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the probability of getting a black ball?- a)3/5
- b)2/5
- c)1/2
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
There are 2 Red, 3 Blue and 5 Black balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the probability of getting a black ball?
a)
3/5
b)
2/5
c)
1/2
d)
None of these
 | EduRev Class 8 answered |
total no of black ball / total no of balls
5 / 10
1 / 2
5 / 10
1 / 2
Solve: 4y = 20- a)5
- b)16
- c)4
- d)24
Correct answer is option 'A'. Can you explain this answer?
Solve: 4y = 20
a)
5
b)
16
c)
4
d)
24
 | Malavika Yadav answered |
Solution:
To solve the given equation 4y = 20, we need to isolate the variable y on one side of the equation.
Let's divide both sides of the equation by 4:
4y/4 = 20/4
y = 5
Therefore, the solution of the given equation is y = 5.
Option A is the correct answer.
Explanation:
The given equation is 4y = 20.
We need to find the value of y that satisfies this equation.
To do that, we can use the basic algebraic operation of dividing both sides of the equation by 4.
When we divide both sides of the equation by 4, we get:
4y/4 = 20/4
Simplifying the left-hand side of the equation, we get:
y = 20/4
y = 5
Therefore, the solution of the given equation is y = 5.
Option A is the correct answer, as it represents the value of y that satisfies the equation.
To solve the given equation 4y = 20, we need to isolate the variable y on one side of the equation.
Let's divide both sides of the equation by 4:
4y/4 = 20/4
y = 5
Therefore, the solution of the given equation is y = 5.
Option A is the correct answer.
Explanation:
The given equation is 4y = 20.
We need to find the value of y that satisfies this equation.
To do that, we can use the basic algebraic operation of dividing both sides of the equation by 4.
When we divide both sides of the equation by 4, we get:
4y/4 = 20/4
Simplifying the left-hand side of the equation, we get:
y = 20/4
y = 5
Therefore, the solution of the given equation is y = 5.
Option A is the correct answer, as it represents the value of y that satisfies the equation.
Find the perimeter of the a square with side 4cm.- a)16 cm
- b)12 cm
- c)10 cm
- d)8 cm
Correct answer is option 'A'. Can you explain this answer?
Find the perimeter of the a square with side 4cm.
a)
16 cm
b)
12 cm
c)
10 cm
d)
8 cm
 | Sreesha Phalod answered |
Sol. perimeter of square=4* sides
=4*4 (sides is 4)
=16.
=4*4 (sides is 4)
=16.
Write the additive inverse of 4/5.- a)1
- b)-4/5
- c)4/5
- d)0
Correct answer is option 'B'. Can you explain this answer?
Write the additive inverse of 4/5.
a)
1
b)
-4/5
c)
4/5
d)
0
| | EduRev Class 8 answered |
additive inverse means adding what number will give you zero
so let that no be x
x + 4/5 = 0
x = -4/5
trick : just change the sign of number
so let that no be x
x + 4/5 = 0
x = -4/5
trick : just change the sign of number
How many natural numbers lie between 92 and 102?
a) 36
b) 27
c) 9
d) 18
Correct answer is option 'D'. Can you explain this answer?
| | Sohini Das answered |
Between 92 and 102
Here, n = 9 and n + 1 = 10
∴ Natural number between 92 and 102 are (2 × n) or 2 x 9, i.e. 18.
Here, n = 9 and n + 1 = 10
∴ Natural number between 92 and 102 are (2 × n) or 2 x 9, i.e. 18.
Which of the following is a perfect square number?- a)222222
- b)23453
- c)1681
- d)1057
Correct answer is option 'C'. Can you explain this answer?
Which of the following is a perfect square number?
a)
222222
b)
23453
c)
1681
d)
1057
 | Shashwat Singh answered |
The answer is 1681 because it is the only number which has it's last digit as a number which a perfect square can have . 9×9=81 the last digit is 1.
Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?- a)Parallelogram
- b)rhombus
- c)Triangle
- d)rectangle
Correct answer is option 'B'. Can you explain this answer?
Which of the following quadrilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
a)
Parallelogram
b)
rhombus
c)
Triangle
d)
rectangle
 | Pooja Shah answered |
Correct Answer :- b
Explanation:- A rhombus is a parallelogram and a quadrilateral whose opposite sides are parallel and opposite angles are equal.
Area of Rhombus, A = (d1 x d2)/2
The perimeter of Rhombus, P = 4a units
The opposite angles of a rhombus are equal to each other.
In a rhombus, diagonals bisecting each other at right angles.
Diagonals bisect the angles of a rhombus
Find the multiplicative inverse of -13.- a)13
- b)-13
- c)-1/13
- d)12
Correct answer is 'C'. Can you explain this answer?
Find the multiplicative inverse of -13.
a)
13
b)
-13
c)
-1/13
d)
12
 | Anita Menon answered |
In order to find the multiplicative inverse of the given number, find the reciprocal of that number.
Here the given number is -13
So the reciprocal of -13 will be -1/13
Here the given number is -13
So the reciprocal of -13 will be -1/13
Therefore, option C is the correct answer.
An algebraic equation is an _________ involving variables.- a)Number
- b)Equality
- c)Equation
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
An algebraic equation is an _________ involving variables.
a)
Number
b)
Equality
c)
Equation
d)
None of these
 | Aarya Deshpande answered |
An algebraic equation is an equality that involves variables. It states that two expressions are equal to each other, typically connected by an equals sign =. For example, in the equation 2x+3=7, the expression 2x+3 is equal to 7. The equation shows the relationship between the variable x and the constants.
The sides of a pentagon are produced in order. Which of the following is the sum of its exterior angles? - a)540°
- b)180°
- c)720°
- d)360°
Correct answer is option 'D'. Can you explain this answer?
The sides of a pentagon are produced in order. Which of the following is the sum of its exterior angles?
a)
540°
b)
180°
c)
720°
d)
360°
| | Priyanjali Singh answered |
Each polygon have 360• as it's exterior angel but it's Interior angle is depend on it's sides, so the answer is D
Can you explain the answer of this question below:Solve 2x − 3 = x + 2
- A:
4
- B:
5
- C:
3
- D:
0
The answer is b.
Solve 2x − 3 = x + 2
4
5
3
0
 | Geetika Shah answered |
Given, 2x - 3 = x + 2
Transposing 'x' to L.H.S
⇒ 2x - x - 3 = 2
⇒ x - 3 = 2
Transposing '3' to R.H.S
⇒ x = 2 + 3
⇒ x = 5.
Therefore, option (b) is the correct answer.
Transposing 'x' to L.H.S
⇒ 2x - x - 3 = 2
⇒ x - 3 = 2
Transposing '3' to R.H.S
⇒ x = 2 + 3
⇒ x = 5.
Therefore, option (b) is the correct answer.
Find the perfect square number between 30 and 40.- a)36
- b)49
- c)25
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Find the perfect square number between 30 and 40.
a)
36
b)
49
c)
25
d)
none of these
| | Amita Verma answered |
Since, 1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
Thus, 36 is a perfact square number between 30 and 40.
Which of the following would end with digit 1?- a)1232
- b)1612
- c)772
- d)822
Correct answer is 'B'. Can you explain this answer?
Which of the following would end with digit 1?
a)
1232
b)
1612
c)
772
d)
822
 | Sneha Singh answered |
Option B is correct because the unit digit of 161 is 1 and if unit digit of any digit ends with 1 the its square will also end with 1.
Which of the following is an expression?- a)1/2
- b)3
- c)3x-2
- d)2
Correct answer is option 'C'. Can you explain this answer?
Which of the following is an expression?
a)
1/2
b)
3
c)
3x-2
d)
2
| | Mainak Sharma answered |
A) 1/2: This is a fraction and represents a rational number. It is not an expression because it is a single value.
B) 3: This is a whole number and represents an integer. It is not an expression because it is a single value.
C) 3x-2: This is an expression. It consists of variables, constants, and operators. In this expression, "x" represents a variable and "3" and "2" are constants. The "-" is the subtraction operator. The expression can be simplified or evaluated by substituting a value for the variable "x".
D) 2: This is a whole number and represents an integer. It is not an expression because it is a single value.
An expression is a mathematical phrase that represents a value or quantity. It can consist of variables, constants, and operators. In option C, the expression "3x-2" represents a value that can change based on the value of the variable "x". It can be used to calculate different values depending on the value of "x".
In contrast, options A, B, and D are not expressions because they do not have variables or operators. They represent single values that do not change. Option A is a fraction, option B is a whole number, and option D is a whole number. These values do not depend on any variables or operators.
Therefore, the correct answer is option C, "3x-2", because it is the only option that represents an expression.
B) 3: This is a whole number and represents an integer. It is not an expression because it is a single value.
C) 3x-2: This is an expression. It consists of variables, constants, and operators. In this expression, "x" represents a variable and "3" and "2" are constants. The "-" is the subtraction operator. The expression can be simplified or evaluated by substituting a value for the variable "x".
D) 2: This is a whole number and represents an integer. It is not an expression because it is a single value.
An expression is a mathematical phrase that represents a value or quantity. It can consist of variables, constants, and operators. In option C, the expression "3x-2" represents a value that can change based on the value of the variable "x". It can be used to calculate different values depending on the value of "x".
In contrast, options A, B, and D are not expressions because they do not have variables or operators. They represent single values that do not change. Option A is a fraction, option B is a whole number, and option D is a whole number. These values do not depend on any variables or operators.
Therefore, the correct answer is option C, "3x-2", because it is the only option that represents an expression.
Solve 2y + 9 = 4.- a)-5/2
- b)1/2
- c)2
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Solve 2y + 9 = 4.
a)
-5/2
b)
1/2
c)
2
d)
none of these
| | Amit Sharma answered |
Given, 2y + 9 =4
Transposing '9' to R.H.S, we get
2y = 4-9
⇒ 2y = -5
Therefore, y = -5/2
Hence, option 'A' is correct.
Transposing '9' to R.H.S, we get
2y = 4-9
⇒ 2y = -5
Therefore, y = -5/2
Hence, option 'A' is correct.
Which of the parallelograms has all sides equal and diagonals bisect each other at right angle?- a)None of these
- b)rectangle
- c)rhombus
- d)trapezium.
Correct answer is option 'C'. Can you explain this answer?
Which of the parallelograms has all sides equal and diagonals bisect each other at right angle?
a)
None of these
b)
rectangle
c)
rhombus
d)
trapezium.
 | Sanjana Bose answered |
If two adjacent sides of a parallelogram are equal, then it is a rhombus.. A quadrilateral whose diagonals bisect each other at right angles is a rhombus.
In square all sides are equal and every angle is right angle.
The value of 25 is _________ .- a) 3
- b) 10
- c) 32
- d) 7
Correct answer is option 'C'. Can you explain this answer?
The value of 25 is _________ .
a)
3
b)
10
c)
32
d)
7
 | Simran Choudhary answered |
Value of 25
The value of 25 is:
- Option C) 32
Explanation:
- The question asks for the value of 25, which means we need to choose one of the given options that represents the actual value of 25.
- Option A) 3 is not the value of 25, as 25 is a two-digit number and 3 is a single-digit number.
- Option B) 10 is not the value of 25, as 10 is a number that comes after 9, and 25 is a number that comes after 24.
- Option D) 7 is not the value of 25, as 7 is a single-digit number and 25 is a two-digit number.
- Therefore, the correct option is C) 32, as 32 is the actual value of 25 when expressed in base 8 or octal system. In octal system, 25 is represented as 31, and when converted to decimal system, it becomes 3x8+1= 24+1= 25.
Conclusion:
- The value of 25 is 32 when expressed in octal system, which is represented by option C).
The value of 25 is:
- Option C) 32
Explanation:
- The question asks for the value of 25, which means we need to choose one of the given options that represents the actual value of 25.
- Option A) 3 is not the value of 25, as 25 is a two-digit number and 3 is a single-digit number.
- Option B) 10 is not the value of 25, as 10 is a number that comes after 9, and 25 is a number that comes after 24.
- Option D) 7 is not the value of 25, as 7 is a single-digit number and 25 is a two-digit number.
- Therefore, the correct option is C) 32, as 32 is the actual value of 25 when expressed in base 8 or octal system. In octal system, 25 is represented as 31, and when converted to decimal system, it becomes 3x8+1= 24+1= 25.
Conclusion:
- The value of 25 is 32 when expressed in octal system, which is represented by option C).
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Comparing Quantities, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic. Q. Find the ratio of speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.- a)It is 1:2
- b)It is 1:3
- c)It is 2:1
- d)It is 3:1
Correct answer is option 'A'. Can you explain this answer?
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Comparing Quantities, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q. Find the ratio of speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.
a)
It is 1:2
b)
It is 1:3
c)
It is 2:1
d)
It is 3:1
 | Shubham Sharma answered |
Speed of cycle = 15 km per hour
Speed of scooter = 30 km per hour
∴ 
For any three rational numbers a, b and c, a + (b + c) = __________.- a)(a + b) + c
- b)(a + b) - c
- c)(a - b) + c
- d)(a - b) - c
Correct answer is 'A'. Can you explain this answer?
For any three rational numbers a, b and c, a + (b + c) = __________.
a)
(a + b) + c
b)
(a + b) - c
c)
(a - b) + c
d)
(a - b) - c
| | Geetika Shah answered |
It is the associative property and we know that the rational numbers are associative under addition.
For eg: 5/3 + (3/2 + 1/3) = 7/2;
(5/3 + 3/2) + 1/3 = 7/2
Here, Option 'a' is the correct answer.
For eg: 5/3 + (3/2 + 1/3) = 7/2;
(5/3 + 3/2) + 1/3 = 7/2
Here, Option 'a' is the correct answer.
Therefore, a+(b+c) = (a+b)+c
Solve: y + 3 = 10- a)13
- b)7
- c)-7
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Solve: y + 3 = 10
a)
13
b)
7
c)
-7
d)
none of these
| | Ananya Das answered |
y + 3 = 10
y = 10 - 3
y = 7
y = 10 - 3
y = 7
Multiplicative inverse of 7-2 is _________ - a)49
- b)5
- c)7
- d)-14
Correct answer is option 'A'. Can you explain this answer?
Multiplicative inverse of 7-2 is _________
a)
49
b)
5
c)
7
d)
-14
| | Anu Kumar answered |
To find the multiplicative inverse of 7-2, we need to find a number that when multiplied by 7-2 gives us 1 as the product.
Let x be the multiplicative inverse of 7-2, then we have:
(7-2) * x = 1
Expanding the left-hand side, we get:
7x - 2x = 1
Simplifying, we get:
5x = 1
Dividing both sides by 5, we get:
x = 1/5
Therefore, the multiplicative inverse of 7-2 is 1/5, which is equivalent to 0.2 or 20%.
Option A, 49, is not the correct answer.
Let x be the multiplicative inverse of 7-2, then we have:
(7-2) * x = 1
Expanding the left-hand side, we get:
7x - 2x = 1
Simplifying, we get:
5x = 1
Dividing both sides by 5, we get:
x = 1/5
Therefore, the multiplicative inverse of 7-2 is 1/5, which is equivalent to 0.2 or 20%.
Option A, 49, is not the correct answer.
_____ is the only rational number that is equal to its reciprocal. - a)2
- b)1
- c)1/2
- d)0
Correct answer is option 'B'. Can you explain this answer?
_____ is the only rational number that is equal to its reciprocal.
a)
2
b)
1
c)
1/2
d)
0
| | Pooja Shah answered |
1 because the reciprocal of 1 is 1/1 which is equal to 1.
An algebraic equation is an _________ involving variables.- a)number
- b)equation
- c)equality
- d)none of these
Correct answer is 'C'. Can you explain this answer?
An algebraic equation is an _________ involving variables.
a)
number
b)
equation
c)
equality
d)
none of these
 | Amrutha Saini answered |
An algebraic equation is an equality involving variables. It has an equality sign. The expression on the left of the equality sign is the Left Hand Side (LHS). The expression on the right of the equality sign is the Right Hand Side (RHS).
Example: 2x - 3 = 7
Here, 2x - 3 = LHS
7 = RHS
Without adding, find the sum. 1 + 3 + 5 + 7 + 9 + 11 + 13- a)36
- b)49
- c)25
- d)19
Correct answer is option 'B'. Can you explain this answer?
Without adding, find the sum. 1 + 3 + 5 + 7 + 9 + 11 + 13
a)
36
b)
49
c)
25
d)
19
| | Preeti Khanna answered |
Total consecutive odd numbers (n) = 7
We know that, Sum = n2
= 72
= 49
Hence, the correct answer is 49
Find the volume of a cuboid whose length is 8 cm, width is 3 cm and height is 5 cm. - a)135 cm3
- b)125 cm3
- c)120 cm3
- d)130 cm3
Correct answer is option 'C'. Can you explain this answer?
Find the volume of a cuboid whose length is 8 cm, width is 3 cm and height is 5 cm.
a)
135 cm3
b)
125 cm3
c)
120 cm3
d)
130 cm3
 | Tanishq Joshi answered |
Finding Volume of a Cuboid
Given: length = 8 cm, width = 3 cm, height = 5 cm
To find: Volume of the cuboid
Formula: Volume of a cuboid = length x width x height
Substituting the given values in the formula, we get:
Volume = 8 cm x 3 cm x 5 cm
Volume = 120 cm3
Therefore, the correct answer is option C, 120 cm3.
Given: length = 8 cm, width = 3 cm, height = 5 cm
To find: Volume of the cuboid
Formula: Volume of a cuboid = length x width x height
Substituting the given values in the formula, we get:
Volume = 8 cm x 3 cm x 5 cm
Volume = 120 cm3
Therefore, the correct answer is option C, 120 cm3.
Which of the following (rational number) lies between 0 and -1?- a) 0
- b)-3
- c)-2/3
- d)4/3
Correct answer is option 'C'. Can you explain this answer?
Which of the following (rational number) lies between 0 and -1?
a)
0
b)
-3
c)
-2/3
d)
4/3
 | Trisha Vashisht answered |
Option C: -2/3, because -2/3 is a rational number that lies between 0 and -1. The number 0 is greater than -2/3, and -3 is less than -1, while 4/3 is greater than 1, making it outside the range.
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Mensuration, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic. Q.Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm. - a)215 cm3
- b)172 cm3
- c)150 cm3
- d)168 cm3
Correct answer is option 'D'. Can you explain this answer?
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Mensuration, Class 8, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
Find the volume of a cuboid whose length is 8 cm, breadth 6 cm and height 3.5 cm.
a)
215 cm3
b)
172 cm3
c)
150 cm3
d)
168 cm3
| | Ankita Shah answered |
Given,
Length (l) = 8 cm
Breadth (b) = 6 cm
Height (h) = 3.5 cm
We know that the volume of a cuboid is given by the formula:
Volume = length × breadth × height
Substituting the given values, we get:
Volume = 8 cm × 6 cm × 3.5 cm
Volume = 168 cm³
Therefore, the volume of the given cuboid is 168 cm³.
Hence, the correct option is (d) 168 cm³.
Length (l) = 8 cm
Breadth (b) = 6 cm
Height (h) = 3.5 cm
We know that the volume of a cuboid is given by the formula:
Volume = length × breadth × height
Substituting the given values, we get:
Volume = 8 cm × 6 cm × 3.5 cm
Volume = 168 cm³
Therefore, the volume of the given cuboid is 168 cm³.
Hence, the correct option is (d) 168 cm³.
If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?- a)4 days
- b)5 days
- c)3 days
- d)2 days.
Correct answer is option 'C'. Can you explain this answer?
If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?
a)
4 days
b)
5 days
c)
3 days
d)
2 days.
 | Sahil Gupta answered |
3m = 6w
So 12m + 8w = 24w + 8w = 32w
Since 6 women can complete work in 16 days, 32 women can complete it in :
16 x 6/32 = 3 days.
Solve: 5x−2(2x−7)=(3x−1)+7/2- a)2
- b)3
- c)1/2
- d)23/4
Correct answer is 'D'. Can you explain this answer?
Solve: 5x−2(2x−7)=(3x−1)+7/2
a)
2
b)
3
c)
1/2
d)
23/4
| | Sanjana Bose answered |
5x-2(2x-7) = 2(3x-1)+7/2After opening the brackets5x-4x+14=6x-2+7/2Taking X to one side constants to other side6x+4x-5x= 14+2-7/2 or 5x= 16-7/2or 5x = (32-7)/2 or 5x= 25/2or x= 5/2
Using identity (x − a) (x + a) = x2− a2 find 62− 52. - a)11
- b)12
- c)10
- d)none of these
Correct answer is 'A'. Can you explain this answer?
Using identity (x − a) (x + a) = x2− a2 find 62− 52.
a)
11
b)
12
c)
10
d)
none of these
 | Rahul Kumar answered |
To find: 62 - 52:
Putting x = 6 and a = 5 in identity x2 - a2 = (x - a)(x+a);
⇒ 62- 52 = (6 - 5)(6 + 5) = 11.
A group of students were given an assignment to collect different types of leaves. The group collected 32 types of leaves. Represent the number of leaves collected in the form of exponential expression with its base being indivisible.- a)25
- b)23
- c)24
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
A group of students were given an assignment to collect different types of leaves. The group collected 32 types of leaves. Represent the number of leaves collected in the form of exponential expression with its base being indivisible.
a)
25
b)
23
c)
24
d)
None of the above
 | Rohit Sharma answered |
32 = 2 x 2 x 2 x 2 x 2 = 25
Therfore, the correct answer is A.
Without adding, find the sum. 1 + 3 + 5 + 7 + 9- a)16
- b)36
- c)9
- d)25
Correct answer is option 'D'. Can you explain this answer?
Without adding, find the sum. 1 + 3 + 5 + 7 + 9
a)
16
b)
36
c)
9
d)
25
 | Lakesway Classes answered |
Here, we have to find the sum of first five odd natural numbers.
Therefore, 1 + 3 + 5 + 7 + 9 = (5)2 = 25
_______ are closed under addition.- a)Irrational numbers
- b)Negative numbers
- c)Rational numbers
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
_______ are closed under addition.
a)
Irrational numbers
b)
Negative numbers
c)
Rational numbers
d)
none of these
| | Ananya Das answered |
Rational Numbers: This set is closed under addition, subtraction, multiplication, and division (with the exception of division by 0).
Ones place digit in the cube of 5832 is ______.- a)5
- b)7
- c)2
- d)8
Correct answer is option 'D'. Can you explain this answer?
Ones place digit in the cube of 5832 is ______.
a)
5
b)
7
c)
2
d)
8
 | Shiksha Academy answered |
A number ending with 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 0 then it's cube ends with 1 , 8 , 7 , 4 , 5 , 6 , 3 , 2 , 0 respectively
⇒ One's digit of 5832= 2
⇒ Cube of 2=23 = 8
⇒ Cube of 2=23 = 8
So, the one's digit of cube of 5832=8
Solve: 5x+ 9 = 5 + 3x- a)-2
- b)-1
- c)2
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Solve: 5x+ 9 = 5 + 3x
a)
-2
b)
-1
c)
2
d)
none of these
 | Rishika Mukherjee answered |
To solve the given equation, we need to isolate the variable x.
Given equation: 5x + 9 = 5(3x)
Step 1: Distribute the 5 on the right side of the equation:
5x + 9 = 15x
Step 2: Move all the terms containing x to one side of the equation by subtracting 5x from both sides:
9 = 15x - 5x
Simplifying the equation gives:
9 = 10x
Step 3: To solve for x, divide both sides of the equation by 10:
9/10 = x
Simplifying the fraction gives:
x = 0.9
Therefore, the correct answer is option A, -2.
Explanation:
The given equation is 5x + 9 = 5(3x). We can solve this equation step by step to find the value of x. By distributing the 5 on the right side, we get 5x + 9 = 15x. Next, we need to move all the terms containing x to one side of the equation. By subtracting 5x from both sides, we get 9 = 15x - 5x, which simplifies to 9 = 10x. To solve for x, we divide both sides of the equation by 10, giving us 9/10 = x. Simplifying the fraction, we find that x = 0.9. However, this does not match any of the given answer choices. Therefore, the correct answer is none of these (d), not option A (-2).
Given equation: 5x + 9 = 5(3x)
Step 1: Distribute the 5 on the right side of the equation:
5x + 9 = 15x
Step 2: Move all the terms containing x to one side of the equation by subtracting 5x from both sides:
9 = 15x - 5x
Simplifying the equation gives:
9 = 10x
Step 3: To solve for x, divide both sides of the equation by 10:
9/10 = x
Simplifying the fraction gives:
x = 0.9
Therefore, the correct answer is option A, -2.
Explanation:
The given equation is 5x + 9 = 5(3x). We can solve this equation step by step to find the value of x. By distributing the 5 on the right side, we get 5x + 9 = 15x. Next, we need to move all the terms containing x to one side of the equation. By subtracting 5x from both sides, we get 9 = 15x - 5x, which simplifies to 9 = 10x. To solve for x, we divide both sides of the equation by 10, giving us 9/10 = x. Simplifying the fraction, we find that x = 0.9. However, this does not match any of the given answer choices. Therefore, the correct answer is none of these (d), not option A (-2).
Solve: 3x = 12- a)15
- b)4
- c)9
- d)3
Correct answer is option 'B'. Can you explain this answer?
Solve: 3x = 12
a)
15
b)
4
c)
9
d)
3
| | Amit Sharma answered |
Given, 3x = 12
Transposing '3' to R.H.S, we get
x = 12/3
⇒ x = 4
Transposing '3' to R.H.S, we get
x = 12/3
⇒ x = 4
or
Divide both sides by '3' to get the value of x
3x/3 = 12/3
⇒ x = 4
Divide both sides by '3' to get the value of x
3x/3 = 12/3
⇒ x = 4
Which of the following is an expression?- a)10
- b)3
- c)1/2
- d)4x + 7
Correct answer is option 'D'. Can you explain this answer?
Which of the following is an expression?
a)
10
b)
3
c)
1/2
d)
4x + 7
| | Amit Sharma answered |
An algebraic expression include constants, variables and coefficients, so answer is 4x+7
Find the angle measure x in the following figure:
- a)90°
- b)108°
- c)120°
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Find the angle measure x in the following figure:
a)
90°
b)
108°
c)
120°
d)
none of these
 | Coachify answered |
We have angle sum of pentagon=(5-2)*180 =540. Since it is a regular pentagon all angles are equal. So the sum is 5x. So each angle measures x = 540/5 = 108º
Simplify and write in exponential form: (−2)−3 × (−2)− 4- a)(2)7
- b)(−2)−7
- c)(2)−7
- d)(−2)7
Correct answer is option 'B'. Can you explain this answer?
Simplify and write in exponential form: (−2)−3 × (−2)− 4
a)
(2)7
b)
(−2)−7
c)
(2)−7
d)
(−2)7
| | Kavya Saxena answered |
(-2)-3*(-2)-4 = (-2)(-3)+(-4) = (-2)(-7)
A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are 18 in number. Find the ratio of the number of girls to the number of boys in the class.- a)It is 2:1
- b)It is 3:2
- c)It is 2:3
- d)It is 3:1
Correct answer is 'B'. Can you explain this answer?
A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are 18 in number. Find the ratio of the number of girls to the number of boys in the class.
a)
It is 2:1
b)
It is 3:2
c)
It is 2:3
d)
It is 3:1
| | Anjali Singh answered |
We know that 60% are girls then 100-40% = 40% boys 60:40 =3:2
A sum of money, at compound interest, yields Rs. 200 and Rs. 220 at the end of first and second years respectively. What is the rate percent?- a)20%
- b)15%
- c)10%
- d)5%
Correct answer is option 'C'. Can you explain this answer?
A sum of money, at compound interest, yields Rs. 200 and Rs. 220 at the end of first and second years respectively. What is the rate percent?
a)
20%
b)
15%
c)
10%
d)
5%
| | Geetika Shah answered |
Difference between interests = Rs.220 - Rs. 200 = Rs. 20
⇒ Rs. 20 is the S.I on Rs. 200 for 1 Year.
Hence, the rate of interest is 10%.
⇒ Rs. 20 is the S.I on Rs. 200 for 1 Year.
Hence, the rate of interest is 10%.
Which of the following quadilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?- a)square
- b)circle
- c)rhombus
- d)rectangle.
Correct answer is option 'C'. Can you explain this answer?
Which of the following quadilaterals has two pairs of adjacent sides equal and diagonals intersecting at right angles?
a)
square
b)
circle
c)
rhombus
d)
rectangle.
| | Geetika Shah answered |
3. Rhombus
Explanation: A rhombus is a quadrilateral that has the following properties:
- All four sides are of equal length.
- It has two pairs of adjacent sides that are equal.
- The diagonals of a rhombus intersect at right angles (90 degrees) and bisect each other.
This makes the rhombus the correct answer.
- A square also has diagonals that intersect at right angles, but all four sides are equal rather than just two pairs of adjacent sides.
- A rectangle has equal opposite sides and diagonals that are equal but do not intersect at right angles.
- A circle is not a quadrilateral, so it doesn't apply to this question.
A car is traveling at a speed of 54 km/ hour, covers a distance in 2.5 hours. At a speed of 45 km/hr, it covers the same distance in- a)1 hour
- b)3 hours
- c)2 hours
- d)None of thes
Correct answer is option 'B'. Can you explain this answer?
A car is traveling at a speed of 54 km/ hour, covers a distance in 2.5 hours. At a speed of 45 km/hr, it covers the same distance in
a)
1 hour
b)
3 hours
c)
2 hours
d)
None of thes
 | C K Academy answered |
Distance =54×2.5=135 km .
Speed =45 km/h.
Now time = Distance / Speed =135/45=3 hours.
It can cover the same distance at a speed of 45km/h in 3 hours.
Speed =45 km/h.
Now time = Distance / Speed =135/45=3 hours.
It can cover the same distance at a speed of 45km/h in 3 hours.
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