Students often review Class 7 Maths MCQ and Class 7 Maths Part 2 Chapter 7 Finding the Unknown Class MCQ Questions Online Test with Answers for quick revisions before tests.
MCQ on Finding the Unknown Class 7
Finding the Unknown Class MCQ Class 7
Class 7 Finding the Unknown Class MCQ
Multiple Choice Questions (MCQs)
Question 1.
If 3 x-7=11, then x=……………
(a) 4
(b) 5
(c) 6
(d) 7
Solution:
(c) 6
Question 2.
The solution of 2 x+9=19 is
(a) 3
(b) 4
(c) 5
(d) 6
Solution:
(c) 5
Question 3.
The value of x in 5 x=20 is
(a) 2
(b) 3
(c) 4
(d) 5
Solution:
(c) 4
Question 4.
If \(\frac{x}{3}\)+2=5, then x=………..
(a) 6
(b) 8
(c) 9
(d) 12
Solution:
(c) 9
Question 5.
If 4 x-10=14, then x=……….
(a) 4
(b) 5
(c) 6
(d) 7
Solution:
(c) 6
Question 6.
The equation having x=9 as its solution is……….
(a) 2 x+3=18
(b) 3 x=27
(c) x-4=3
(d) x+2=10
Solution:
(b) 3 x=27
Question 7.
If 3 x+5=2 x+11, then x=………….
(a) 4
(b) 5
(c) 6
(d) 7
Solution:
(c) 6
Question 8.
The solution of 7 x-4=24 is ………..
(a) 2
(b) 3
(c) 4
(d) 5
Solution:
(c) 4
Assertion and Reason Questions
In the following questions (9-10), a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option as:
(a) Both assertion and reason are true, and the reason is the correct explanation of the assertion.
(b) Both assertion and reason are true, but the reason is not the correct explanation of the assertion.
(c) Assertion is true, and the reason is false.
(d) Assertion is false, and the reason is true.
Question 1.
Assertion (A): In the equation 6(p+3)=18 dividing both sides by 6 gives p+3=3.
Reason (R): When a variable term is multiplied by a constant, we can divide both sides by that constant to isolate the variable.
Solution:
(a) Both assertion and reason are true, and the reason is the correct explanation of the assertion.
Question 2.
Assertion (A): The solution of 8-4 x=2(x-3)-(x-5) is x=3.
Reason (R): When we move a variable term from one side of an equation to the other, its sign changes.
Solution:
(d) Assertion is false, and the reason is true.
Fill in the blanks:
(a) If 4 x=36, then x= …………..
Solution:
9
(b) The solution of x+15=40 is ………….
Solution:
25
(c) When both sides of an equation are multiplied or divided by the same non-zero number, the …………. of the equation does not change.
Solution:
equality
(d) The equation 2 x-3=7 can be written as x=…………
Solution:
5
(e) If \(\frac{x}{2}=9\), then x= ………….
Solution:
18
Match the following:
Solution:
| Column A | Column B | ||
| (a) | -(n+ 1) = 2(n – 5) | (iii) | n = 3 |
| (b) | 4n = 12 + n | (i) | n = 0 |
| (c) | 6 (n + 1) = 6 | (ii) | n = 3 |
| (d) | 3(8 – 2n) = -6 | (v) | n = 5 |
| (e) | 3(n – 3) = -12 | (iv) | n = -1 |
True or False.
Question 1.
The solution of the equation 4 x+6=10 is x=1.
Solution:
True
Question 2.
In the equation 3n=10+n, the value of n is 4.
Solution:
False
Question 3.
If 2 y=60, then y=30.
Solution:
True
Question 4.
The equation (x-1)=2(x-1)+4 has the solution x=-1.
Solution:
False
Question 5.
The equation 2(x-4)=-16 gives x=8.
Solution:
False
Answer the following
Question 1.
The sum of a number and its double is 72. Find the number.
Solution:
24
Question 2.
The difference between two numbers is 25. If the larger number is twice the smaller, find both numbers.
Solution:
Smaller number =25, Larger number =50
Question 3.
A pen costs ₹ 15 more than a pencil. If 3 pens and 2 pencils cost ₹ 150, find the cost of each.
Solution:
Pencil =₹ 21, Pen =₹ 36
Question 4.
A father is 5 times as old as his son. After 18 years, he will be twice as old as his son. Find their present ages.
Solution:
Son’s age =6 years and father’s age =30 years
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