Simple Equations Test

Result

Simple Equations Test - 2

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Question 1
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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 2
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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 3
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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 4
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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 5
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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.