Explore numerous Class 7 Maths MCQ and Ganita Prakash Class 7 Maths Part 2 Chapter 7 Finding the Unknown MCQ Online Test with Answers provided with detailed solutions by looking below.
MCQ on Finding the Unknown Class 7
Finding the Unknown MCQ Class 7
Class 7 Finding the Unknown Class MCQ
Question 1.
The solution of the equation x+3=0 is : ……………
(a) -3
(b) 3
(c) 0
(d) 1
Solution:
x+3 = 0
x = – 3
∴ The solution of the equation is -3
Answer:
(a) – 3
Question 2.
Solve \(\frac{x}{3}\) = – 6 is : ………….
(a) 10
(b) -18
(c) 18
(d) -10
Solution:
\(\frac{x}{3}\) × 3 =-6 × 3
x =-18
Answer:
(b) – 18
Question 3.
Solve \(\frac{3}{4}\) x=6 is :……………
(a) 4
(b) 6
(c) 10
(d) 8
Solution:
\(\frac{3}{4}x\) × 4 = 6 × 4
3x = 24
\(\frac{3 x}{3} =\frac{24}{3}\)
x =8
Answer:
(d) 8
Question 4.
\(\frac{x}{a}\)=b for x is : …………..
(a) ab
(b) b/a
(c) bc
(d) cb
Solution:
\(\frac{x}{a}\) × a = b×a
x= ab
Answer:
(a) ab
Question 5.
Three times a number is equal to 18. This number is : ………..
(a) 2
(b) 4
(c) 6
(d) 8
Solution:
Let the number = n
Then,
3n =18
n = \(\frac{18}{3}\)
⇒ n=6
Answer:
(c) 6
Question 6.
Twice a number, when increased by 6 gives 23. The number is :
(a) 3
(b) 8
(c) 9
(d) -7
Solution:
Let the number =x. According to the question,
2 x+6 =24
⇒ 2 x =24-6=18
⇒ x \(=\frac{18}{2}\) = 9
Answer:
(c) 9
Question 7.
Solve : x + 5x +7 = 25 is: …………
(a) 1
(b) 2
(c) 3
(d) 4
Solution:
6 x+7 =25
⇒ 6x =18
⇒ x =3
Answer:
(c) 3
Question 8.
\(\frac{\mathrm{x}}{5}+\frac{1}{5}=-\frac{2}{5}\) is : ……………
(a) -2
(b) -3
(c) -4
(d) -5
Solution:
Multiplying both sides by 5,
x =- \(\frac{3}{5}\) × 5
=-3
Answer:
(b) -3
Question 9.
In the form of equations four times a number is : ………….
(a) 3 x=16
(b) 16 x=4
(c) 4 x=16
(d) 4 x=-16
Solution:
Let the number be x
⇒ 4 x=16
Answer:
(c) 4 x=16
Question 10.
The value of the variable that we get on solving an equation is: …………
(a) degree of the equation
(b) root of the equation
(c) coefficient of the variable
(d) none of these
Solution:
Root of the equation.
Answer:
(b) root of the equation
Question 11.
In equation 3n=10+n, value of n is :…………
(a) 10
(b) 5
(c) 3
(d) 2
Solution:
5.
Answer:
(b) 5
Question 12.
If 5 x+4=3 x+8, then x is : …………..
(a) 4
(b) 2
(c) 8
(d) 1
Solution:
2.
Answer:
(b) 2
Question 13.
If y+15=20, then y is : …………….
(a) 35
(b) 5
(c) 15
(d) 20
Answer:
(b) 5
Question 14.
Addition and subtraction are called: ……………
(a) same operations
(b) inverse operations
(c) difficult operations
(d) small operations
Solution:
inverse operations.
Answer:
(b) inverse operations
Question 15.
A statement of equality between two expressions is ;
(a) word
(b) equation
(c) sum
(d) number
Solution:
equation.
Answer:
(b) equation
Question 16.
If 4x+6=10, then 4×10+6 is :………..
(a) correct
(b) a mistake
(c) very good
(d) best step
Solution:
a mistake
Answer:
(b) a mistake
Finding the Unknown Class 7 Assertion and Reason Questions
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Question 1.
Assertion (A) : For the equation 3n=10+n, the solution is n=5.
Reason (R) : Solving a linear equation requires separating the variable terms on one side and constant terms on the other, then isolating the variable.
Solution:
3 n-n=10 ⇒ 2 n=10 ⇒ n=5
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
Question 2.
Assertion (A) : In the equation 13-z=8, the value of z is -5.
Reason (R) : If 13-z=8, then z=13-8=5.
Solution:
z=5
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
Question 3.
Assertion (A) : An algebraic equation remains balanced if the same number is added to both sides.
Reason (R) : The principle of equality allows operations to be performed on one side only.
Solution:
Both sides must be treated equally
Answer:
(c) Assertion (A) is true, but Reason (R) is false.
Finding the Unknown Class 7 Fill in the blanks
Question 1.
If \(\frac{x}{2}-1=\frac{x}{3}+4\), then the value of x=……………. (20/30)
Answer:
30
Question 2.
\(\frac{2}{3}\) of a number is less than the original number by 10.The original number = …………. (30/40)
Answer:
30
Question 3.
The solution of the equation 2m+12=20 is equal to …………. (4/6)
Answer:
4
Question 4.
Rahim’s father is three times as old as Rahim. If sum of their ages is 56 years, then the age of Rahim is ………… years. (14/16)
Answer:
14
Question 5.
When 16 is subtracted form seven times a number the answer is five times the number. The number is …………. (6,8)
Answer:
8
Finding the Unknown Class 7 True or False
Question 1.
Three times a number increased by 6 gives 24. The number is equal to 6.
Answer:
True
Question 2.
The sum of two consecutive numbers is 53. The smaller number = 26.
Answer:
True
Question 3.
The solution of the equation 2 x-10=7 x-10 is 20.
Answer:
False
Question 4.
\(\frac{4 x}{5}+5\)=13, then the value x=12.
Answer:
False
Question 5.
A number when multiplied by 4 is increased by 54. The number =19.
Answer:
False