Simple Equations Test

Result

Simple Equations Test - 8

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

Ridhima is preparing a box of chocolates for a birthday party. She packs 16 chocolates in 4 rows such that each row has the same number of chocolates. Which of the following equations would you use to find the number of chocolates, C, in each row?

A
C = 16 - 4

B
16 = C + 4

C
4C = 16

D
= 16

Solution

Total number of chocolates = Number of rows x Number of chocolates in each row
16 = 4 x C
4C= 16
Question 2
1 / -0

If 20 - 2y = 12, then find the value of y.

A
1

B
2

C
3

D
4

Solution

20 - 2y = 12
20 - 12 = 2y
8 = 2y
y = = 4
Question 3
1 / -0

After subtracting 6 from 8 more than 4 times of a number, the result is 22. Find the number.

A
3

B
4

C
5

D
6

Solution

Let the number be x.
According to the question:
(4x + 8) - 6 = 22
4x + 8 = 22 + 6
4x = 28 - 8
4x = 20
x = = 5
Question 4
1 / -0

Which of the given equations does not give 6 as the value of x?

A
x + 6 = 12

B
36 - 5x = 6

C
8x = 48

D
x + 9 = 16

Solution

Equation (1):
x + 6 = 12
x = 12 - 6 = 6

Equation (2)
36 - 5x = 6
36 - 6 = 5x
= x
x = 6

Equation (3):

8x = 48

x = = 6
Equation (4):

x + 9 = 16

x = 16 - 9 = 7
Question 5
1 / -0

173 is divided into two parts, such that three-fourths of one part exceeds one-eighth of the other part by 9. Find the smaller part?

A
24

B
28

C
31

D
35

Solution

Let one part be x.

Then, the other part will be 173 - x.

According to the question,

x = 35

One part = x = 35

Other part = 173 - 35 = 138

Smaller part = 35
Question 6
1 / -0

Find the value of x in the equation .

A
-4

B

C

D

Solution

4 + 4x = -2x

-6x = 4

x =
Question 7
1 / -0

What is the value of G that makes the following equation true?

G - (8 - 9 - (5 + 12 ÷ 3) = 28

A
16

B
18

C
22

D
26

Solution

G - (8 - 9 - (5 + 12 ÷ 3) = 28

G - (-1 - (5 + 4) = 28

G - (-1 - (9)) = 28

G - (-10) = 28

G + 10 = 28

G = 28 - 10 = 18
Question 8
1 / -0

When three-fourths of a number, four-thirds of the same number and one-sixth of the same number are added to the number itself, the result obtained is 39. Find the number.

A
8

B
10

C
12

D
14

Solution

= 39
x = 12
Question 9
1 / -0

If two supplementary angles differ by 54^o,then one of the angles is ______.

A
126°

B
117°

C
62°

D
53°

Solution

Let the first angle be x.

Then, the other angle = (54^o+ x)

Now, x + (54^o+ x) = 180^o

2x + 54^o= 180^o

2x = 126^o

x == 63^o
First angle = 63^o
Second angle = (63^o+ 54^o) = 117^o
Question 10
1 / -0

The value of x in equation(8 x + 2) - (4x +) = x +is

A
4

B
3

C
2

D
1

Solution

(8x + 2) - (4x +) = x +

- () = x +

- () = x +

+ = x +

+ = x +

- x = -

=

=

x = 2
Question 11
1 / -0

Find the value of x in the equation(7x + 2) + = 2.

A

B

C

D

Solution

(7x + 2) + = 2
(7x + 2) + = 2
3x + + = 2
3x + 1 = 2

x =
Question 12
1 / -0

If of a number is 66, then what is of the same number?

A
4

B
6

C
8

D
11

Solution

Let the number be x.

Then, of x = 66.

= 66

x =
x = 36

Therefore, the number is 36.

Now, of the number = = 6
Question 13
1 / -0

Find the value of x in ?

A

B

C

D

Solution

=>

=>

=>

=>

=> 144x = 24 - 18

=> x =

x =
Question 14
1 / -0

In which of the following forms can equation 24 + 8x = 8 also be expressed?

A

B

C
8x = 8 - 24

D

Solution

The given equation 24 + 8x = 8 can be expressed as:

8x = 8 - 24

Or, 24 - 8 = -8x

Or,

But it cannot be expressed as:

,

or
Question 15
1 / -0

Form an equation of the form vy - d = a, where v, d and a are constants, such that the solution of the equation is y = 6.

A
3y - 5 = 11

B
7y - 15 = 27

C
9y + 24 = 82

D
11y - 15 = 75

Solution

(1) 3y - 5 = 11

3y = 11 + 5

y =

(2) 7y - 15 = 27

7y = 27 + 15

y = = 6

(3) 9y + 24 = 82

9y = 82 - 24

9y = 58

y =

(4) 11y - 15 = 75

11y = 75 + 15

y =
Question 16
1 / -0

Varun's uncle's age is 2 years more than three times Varun's age. Varun's uncle's age is 65 years. Form an equation to find Varun's age.

A
(3x - 2) = 65

B
(3x + 2) = 65

C
(3x - 2) = 63

D
(3x + 2) = 63

Solution

Let Varun's age be x years.

Then, Varun's uncle's age = (3x + 2) years

According to the given information:

(3x + 2) = 65
Question 17
1 / -0

A factory packs bags of candies in two types of boxes: Small and Large. In each large box, number of bags is the same as in 8 small boxes and additional 10 loose candies. Form an equation which gives the number of bags in each small box, if the number of bags in each large box is 74.

A
8 + x = 74

B
x + 74 = 10

C
10x + 8 = 74

D
8x + 10 = 74

Solution

Let the number of bags in each small box be x.

Then, according to the given information:

8x + 10 = 74
Question 18
1 / -0

People of Ludhiana travel to different cities. Some of them travel to Delhi and some of them travel to Mumbai. The number of people who travel to Delhi is 5 more than 6 times the number of people who travel to Mumbai. What is the number of people who travel to Mumbai, if the number of people who travel to Delhi is 95?

A
15

B
16

C
18

D
25

Solution

Let the number of people who travel to Mumbai be x.

Then, according to the question:

6x + 5 = 95

6x = 90

x = 15
Question 19
1 / -0

Varun scored the highest marks in his class, which were 10 less than 5 times the lowest marks. If the highest marks were 400, then form an equation to calculate the lowest marks.

A
5x - 10 = 400

B
10x - 5 = 400

C
10x + 5 = 400

D
5x + 10 = 400

Solution

Let the lowest marks be x.

Then, according to the question:

5x - 10 = 400
Question 20
1 / -0

There are a certain number of benches in a park and some people are walking around. If one person sits on each bench, then one person will be left standing, and if two persons sit on each bench, then two benches will be left empty. Find the number of benches and people in the park.

A
Benches - 5, People - 6

B
Benches - 3, People - 5

C
Benches - 4, People - 6

D
Benches - 4, People - 8

Solution

Number of benches is 5 and number of people is 6.

In this case, if one person sits on each bench, then one person will be left standing, and if two persons sit on each bench, then two benches will be left empty.
Question 21
1 / -0

A number consists of two digits, whose sum is 8. If 36 is subtracted from the number, its digits are interchanged. Which of the following steps is/are required to find the answer.

Step 1: Let the units digit be x.
Step 2: Then, tens digit = 8 - x
Therefore, the number = 10 x (8 - x) + x
=> 80 - 10x + x = 80 - 9x
Step 3: Subtract 36 from this number, we get 44 - 9x.
Step 4: Number with digits interchanged is 10x + (8 - x) = 9x + 8
Step 5: 44 - 9x = 9x + 8
Step 6: The units digit is 2 and the tens digit is 6.
Step 7: Thus, the required number is 62.

A
Only step 4

B
Only step 2

C
Steps 1, 2 and 3

D
All the steps

Solution

Here, all the steps are required to find the number.
The number is 62, and 62 - 36 = 26.
Question 22
1 / -0

Select the incorrect statement from the following:

A. To maintain an equation as equal or balanced, the same number is added to or subtracted from both sides of the equation.
B. If any number is present as the denominator on one side, then it will move to the numerator when transferred to the other side.
C. In order to maintain an equation as balanced, both sides should be multiplied or divided by the same number.
D. If a number bears a positive sign on one side of the equation, then it will keep its positive sign when moved to the other side of the equation.

A
A

B
B

C
C

D
D

Solution

Statement (D) is INCORRECT.

If a number bears a positive sign on one side of the equation, then it will bear a negative sign when moved to the other side.
Question 23
1 / -0

The difference between two numbers is 22. One is 3 times the other.

(a) If the bigger number is 'x', then find the smaller one.
(b) Find the equation formed.
(c) Find both the numbers.

A
(a) 3x
(b) (c) 33, 11

B
(a)(b) (c) 33, 11

C
(a)
(b) x - 3x = 22

(c) 33, 11

D
(a)
(b) (c) 33, 22

Solution

Bigger number = x

Let the smaller number be y.

Now, one is 3 times the other.
So, x = 3y or .
Also, x - y = 22

=>

2x = 66
x = 33
Smaller number == 11
Question 24
1 / -0

In a shop, there are two types of articles, A and B, which cost Rs. 5000 each and Rs. 3000 each, respectively. There are total 20 articles in the shop. If all of those articles are worth Rs. 90,000, then

(i) find the equation formed
(ii) find the number of type A articles
(iii) find the number of type B articles

A

(i) (ii) (iii)

15 5

B

(i) (ii) (iii)

18 2

C

(i) (ii) (iii)

15 5

D

(i) (ii) (iii)

10 10

Solution

Let the number of type A articles be x and that of type B articles be 20 - x.

Then,

5000x + 60000 - 3000x = 90000
5000x - 3000x = 90000-60000

x =

x = 15

Number of type A articles = 15

Number of type B articles = 20 - 15 = 5

Question 25

1 / -0

Match the following:

Column - I	Column - II
(a) Mohak's grandmother's age is 10 years more than 5 times Mohak's age. Find Mohak's age, if his grandmother is 80 years old.	(1) 10
(b) Ram has 10 cards less than five times the number of cards Bibek has. Ram has 65 cards. How many cards does Bibek have?	(2) 14
(c) Gagan has 15 more pictures than 6 times the number of pictures Seema has. Gagan has 75 pictures. How many pictures does Seema have?	(3) 15

(a) - (2), (b) - (3), (c) - (1)

(a) - (1), (b) - (3), (c) - (2)

(a) - (2), (b) - (1), (c) - (3)

(a) - (3), (b) - (2), (c) - (1)

Solution

(a)
Let Mohak's age be x years.
According to question: 5x + 10 = 80
=> 5x = 70
=> x = 14 yr

(b)
Let number of cards with Bibek be x.
According to question: 5x - 10 = 65
=> 5x = 75
=> x = 15 cards

(c)
Let the number of pictures with Seema be x.
According to question: 6x + 15 = 75
=> 6x = 60
=> x = 10 pictures

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

(i)	(ii)	(iii)
	15	5

(i)	(ii)	(iii)
	18	2

(i)	(ii)	(iii)
	15	5

(i)	(ii)	(iii)
	10	10

Simple Equations Test - 8

Result

Simple Equations Test - 8

Score

-

Rank

-

SHARING IS CARING

Question 1

C = 16 - 4

16 = C + 4

4C = 16

= 16

Solution

Question 2

1

2

3

4

Solution

Question 3

3

4

5

6

Solution

Question 4

x + 6 = 12

36 - 5x = 6

8x = 48

x + 9 = 16

Solution

Question 5

24

28

31

35

Solution

Question 6

-4

Solution

Question 7

16

18

22

26

Solution

Question 8

8

10

12

14

Solution

Question 9

126°

117°

62°

53°

Solution

Question 10

4

3

2

1

Solution

Question 11

Solution

Question 12

4

6

8

11

Solution

Question 13

Solution

Question 14

8x = 8 - 24

Solution

Question 15

3y - 5 = 11

(a) 3x
(b) (c) 33, 11

(a)
(b) x - 3x = 22

(c) 33, 11

(a)
(b) (c) 33, 22

(i) (ii) (iii)

15 5

(i) (ii) (iii)

18 2

(i) (ii) (iii)

15 5