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Important Questions: Simple Equations - Class 7 MCQ


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20 Questions MCQ Test Mathematics (Maths) Class 7 - Important Questions: Simple Equations

Important Questions: Simple Equations for Class 7 2024 is part of Mathematics (Maths) Class 7 preparation. The Important Questions: Simple Equations questions and answers have been prepared according to the Class 7 exam syllabus.The Important Questions: Simple Equations MCQs are made for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions: Simple Equations below.
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Important Questions: Simple Equations - Question 1

Solve m/5 + 20 = 45 find the value of m?

Detailed Solution for Important Questions: Simple Equations - Question 1

m/5 + 20 = 45
m/5 = 25
m = 25x5
m = 125

Important Questions: Simple Equations - Question 2

If 0.2(2x−1)−0.5(3x−1) = 0.4, what is the value of x?

Detailed Solution for Important Questions: Simple Equations - Question 2

0.2 ( 2x - 1 ) - 0.5 ( 3x - 1 ) = 0.4
0.4x - 0.2 - 1.5x + 0.5 = 0.4
( 0.4 - 1.5 ) x - 0.2 + 0.5 = 0.4
-1.1x + 0.3 = 0.4
-1.1x = 0.4 - 0.3
-1.1x = 0.1

Multiply Both Sides by 10 .
-1.1x × 10 = 0.1 × 10
-11x = 1
x = - 1/11 

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Important Questions: Simple Equations - Question 3

In each of these figures the solution of an equation is given in brackets. Which of them is correct?

Detailed Solution for Important Questions: Simple Equations - Question 3

(i) x+3 =0 
    x = -3
(ii) x - 7 = 1
    x = 8
(iiI) p/2 = 3
     p = 6
Transposing 3 to the R.H.S. gives the value of m.

Important Questions: Simple Equations - Question 4

Sunil wrote an equation as m/5 = 4. Ravi wrote a statement for Sunil's equation. Which of these is the statement of Ravi if he has written correctly?

Detailed Solution for Important Questions: Simple Equations - Question 4

the equation m/5 = 4 means m divided by  5 gives 4. 

If we write this , it'll be one fifth of m is 4 or the fifth part of m is 4.

Important Questions: Simple Equations - Question 5

In which of the following cases does an equality NOT hold?

Detailed Solution for Important Questions: Simple Equations - Question 5

Important Questions: Simple Equations - Question 6

Which of the following is a solution of equation : 

Detailed Solution for Important Questions: Simple Equations - Question 6

Correct answer is A. 6
m = 3*2
m = 6.

Important Questions: Simple Equations - Question 7

Which of the following equations can be constructed with x = 2?

Detailed Solution for Important Questions: Simple Equations - Question 7

The correct answer is option B
Given  x = 2:

3x - 4= 2

Putting x = 2;

⇒ (3 x 2)  - 4 = 2

Important Questions: Simple Equations - Question 8

7 subtracted from 5/2 of a number results in 23. What is the number?

Detailed Solution for Important Questions: Simple Equations - Question 8


Important Questions: Simple Equations - Question 9

In a coconut grove, (x+2) trees yield 60 coconuts per year, x trees yield 120 coconuts per year and (x−2) trees yield 180 coconuts per year. If the average yield per year per tree is 100, find x.

Detailed Solution for Important Questions: Simple Equations - Question 9

To solve this problem, we need to calculate the total number of coconuts produced by the trees and then find the value of xxx such that the average yield per tree per year is 100 coconuts.

Step 1: Set up the equation for total coconuts

  • The number of trees yielding 60 coconuts per year is (x+2)
  • The number of trees yielding 120 coconuts per year is x.
  • The number of trees yielding 180 coconuts per year is (x−2)

The total yield from all the trees is:

Total yield = 60(x+2) + 120x + 180(x−2)

 

 

Important Questions: Simple Equations - Question 10

4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.

Detailed Solution for Important Questions: Simple Equations - Question 10

Let the number be x.
Then according to the problem, 

5(x + 4) - 20 = 10x8
5(x+4) -20 = 80
5(x+4) = 100
x+4 = 20
x = 16

Important Questions: Simple Equations - Question 11

One number is 3 less than the two times of the other; if their sum is increased by 7 the result is 37. Find the numbers.

Detailed Solution for Important Questions: Simple Equations - Question 11

Let one number  = x
other number      = 2x-3 
(x+2x−3)+7=37
3x = 33
x = 11
∴ The two number are 11 and 19

Important Questions: Simple Equations - Question 12

1/2 is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.

Detailed Solution for Important Questions: Simple Equations - Question 12

Solution :

Important Questions: Simple Equations - Question 13

The present age of A is twice that of B. 30  years from now, age of A will be 11/2 times that of B. Find the present ages (in years) of A and B respectively.

Detailed Solution for Important Questions: Simple Equations - Question 13

Let the present ages of A and B be 2x years and x years.
After 30 years, their ages will be
A = (2x+30) years 
B = (x+30)  years So, 2x+30

Present age of B = 30 years ⇒  Present age of  A = 2×30 = 60  years

Important Questions: Simple Equations - Question 14

A person travelled 5/8 th of the distance by  train, 1/4 th by bus and the remaining 15 km by boat. Find the total distance travelled by him.                    

Detailed Solution for Important Questions: Simple Equations - Question 14

Let the total distance be = x

Distance travelled by train = 5/8 of x

Distance travelled by bus = 1/4 of x

Distance travelled by boat = 15 km

Therefore, total distance = 120 km.

Important Questions: Simple Equations - Question 15

The total cost of three prizes is Rs.2550. If the value of second prize is 3/4 th of the first and the value of 3rd prize is 1/2of the second prize, find the value of first prize.

Detailed Solution for Important Questions: Simple Equations - Question 15

Let the value of the first prize be x.
Value of second prize =
Value of third prize =
The total cost of three prizes =Rs.2550

Answer : Rs.1200

Important Questions: Simple Equations - Question 16

Which of the following is an equation?

Detailed Solution for Important Questions: Simple Equations - Question 16

The equation among the options is:

  1. 4x + 5 = 65

This is because an equation is a statement that two expressions are equal, and it uses the equals sign (=). The other options use inequality signs (<, >, ≠), which represent inequalities rather than equations.

Important Questions: Simple Equations - Question 17

Which of the following is an algebraic expression for the statement "The sum of 3x and 11 is 32."?

Important Questions: Simple Equations - Question 18

Choose the statement that best describes the equation 1/4 m = 10.

Detailed Solution for Important Questions: Simple Equations - Question 18

- Option A: Incorrect. This states "One-fourth of 10 is m," which is not accurate.
- Option B: Incorrect. It says "One-fourth of m is 3 more than 3," which is not relevant to the equation.
- Option C: Correct. This option correctly states "One-fourth of m is 10," aligning with the equation.
- Option D: Incorrect. It mentions "Four times m is 10," which is a different equation.
- Option E: Irrelevant.

Therefore, the correct answer is Option C: "One-fourth of m is 10."

Important Questions: Simple Equations - Question 19

Vinay's father is 44 years old. If he is 5 years older than thrice Vinay's age, which of these equations gives, the age of Vinay's father?

Detailed Solution for Important Questions: Simple Equations - Question 19

Equation Setup:

- Let Vinay's age be represented by x.
- Vinay's father's age is 44 years old.
- Vinay's father is 5 years older than thrice Vinay's age.

Equation:

- The equation representing Vinay's father's age is: 3x + 5 = 44

Explanation:

- The equation 3x + 5 = 44 represents Vinay's father's age being 5 years older than thrice Vinay's age.
- By solving this equation, we can find Vinay's age and then calculate Vinay's father's age based on the relationship provided in the question.

Important Questions: Simple Equations - Question 20

Which of the following statements is false?

Detailed Solution for Important Questions: Simple Equations - Question 20

The equation is 4x=60. To find x, we divide both sides by 4: x=60/4.  Therefore, the solution of 4x=60 is x=15. This statement (a) is false 

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