Simple Equations Test

Question 1
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Which of the following equation has solution as x = 5?

A
4x + 10 = 30

B
21x + 6 = 30

C
10x + 8 = 32

D
9x + 12 = 48

Question 2
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Riya's uncle is 5 years older than three times the age of Riya. If age of Riya's uncle is 52 years and riya's age is x yrs. Form an equation to find Riya's age.

A
15x + 5 = 52

B
15x + 3 = 52

C
5x + 3 = 52

D
3x + 5 = 52

Question 3
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Rohan is a truck driver and works with a logistic company. He is transporting mangoes in two types of boxes, one small and one large. Each large box contains 20 small boxes plus 7 loose mangoes. If the number of mangoes in 1 large box is 67 and number of mangoes in each small box is x, then form an equation which shows the number of mangoes in each small box.

A
20x + 15 = 40

B
15x + 6 = 40

C
20x + 7 = 67

D
20x - 7 = 67

Question 4
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There are some boys and girls standing in a line. The number of girls is 5 less than five times the number of boys in a line. What is the number of boys if the total number of girls is 75?

A
10

B
12

C
14

D
16

Question 5
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There are 60 candidates who appeared for a test. The highest marks scored by a candidate is 6 times the lowest marks plus 12. The candidate who scored the highest got 126 marks and who scored the lowest is p. Form an equation which will help in calculating the lowest marks.

A
6p + 126 = 12

B
6p + 12 = 126

C
12p + 6 = 126

D
12p + 126 = 6

Question 6
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Select the INCORRECT statement.

A
'y exceeds 4 by 8' can be represented as y + 4 = 8.

B
We can add a rational number to an equation.

C
7 is the solution for the equation 9x + 2 = 65.

D
Shifting one term from one side of an equation to another side with a change of sign is known as transposition.

Question 7

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Directions For Questions

Choose the correct answers from the table and mark the correct option accordingly.

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There are 60 children who all have gathered in a hall. These children have some money with them. Each girl has Rs. 25 and each boy has Rs. 40. If the total amount of money with these 60 children is Rs. 1950 and number of boys is x, then

(i) the equation formed is _______.
(ii) the number of boys is _______.
(iii) the number of girls is _______.

	(i)	(ii)	(iii)
A.	40x + 25(x - 60) = 1950	40	30
B.	40x + 25(60 - x) = 1950	30	20
C.	40x + 25(x - 60) = 1950	40	20
D.	40x + 25(60 - x) = 1950	30	30

A

B

C

D

Question 8

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Match the following:

Column - I	Column - II
P. The age of Rahul's mother is 8 years more than 3 times the age of Rahul. If the age of Rahul's mother is 56, the Rahul's age is	(i) 10
Q. Riya has 12 more pens than 6 times the number of pens that Piya has. Riya has 84 pens. The number of pens with Piya is	(ii) 12
R. Arun and Rohan started collecting different coins for there collection. Arun has 24 more coins than 4 times the number of coins with Rohan. Arun has 64 coins. The number of coins with Rohan is	(iii) 16