Class 7 Maths Ganita Prakash Part 2 Chapter 7 MCQs – Finding the Unknown

Use these Finding the Unknown Class 7 MCQ questions to practise forming and solving simple equations. Finding the Unknown is Chapter 7 of Class 7 Maths Ganita Prakash Part 2. Starting with puzzles about unknown weights on a balance and matchstick patterns, it shows how to solve an equation by doing the same operation on both sides. The questions test framing equations, checking whether a value makes LHS equal to RHS and spotting mistakes in solution steps. Substitute answers back to check them.

Finding the Unknown Class 7 MCQ Questions with Answers

Class 7 Maths Part 2 Chapter 7 MCQs Set 1

Q1. A balanced scale has a sack and a 2 kg weight on the left, and 10 kg and 2 kg weights on the right. What is the sack’s mass?

[A]. 10 kg
[B]. 8 kg
[C]. 14 kg
[D]. 12 kg

Q2. Three bread slices, each weighing 2 units, balance two identical fried eggs. What is the weight of one egg?

[A]. 2 units
[B]. 4 units
[C]. 3 units
[D]. 6 units

Q3. Which of these is an equation?

[A]. 7 − x
[B]. 3x + 4
[C]. 3x + 4 = 7
[D]. 2x × 5

Q4. A matchstick pattern uses 2n + 1 sticks at position n, starting from n = 1. Which position uses 99 sticks?

[A]. 50
[B]. 99
[C]. 49
[D]. 48

Q5. A pattern uses 2n + 1 matchsticks at each positive whole-number position n. Can any arrangement use exactly 200 sticks?

[A]. Yes, at position 100.
[B]. Yes, at position 200.
[C]. Yes, at position 99.
[D]. No, because every arrangement uses an odd number of sticks.

Class 7 Maths Part 2 Chapter 7 MCQs Set 2

Q6. If 14593 − 1459 + 145 − 14 + 88 = 13353, what is 14593 − 1459 + 145 − 14?

[A]. 13275
[B]. 13353
[C]. 13265
[D]. 13441

Q7. What value of x satisfies 5x − 4 = 7?

[A]. 11
[B]. 5/11
[C]. 11/5
[D]. 3/5

Q8. What is the solution of 11y − 5 = 61?

[A]. 56/11
[B]. 5
[C]. 66
[D]. 6

Q9. What value of y makes 6y + 7 = 4y + 21 true?

[A]. 7
[B]. 28
[C]. 14
[D]. 2

Q10. Solve 4(m + 6) − 8 = 2m − 4.

[A]. m = 10
[B]. m = −6
[C]. m = −4
[D]. m = −10

Class 7 Maths Part 2 Chapter 7 MCQs Set 3

Q11. Which value of s satisfies 5s = 3s?

[A]. 0
[B]. 2
[C]. 1
[D]. 5

Q12. If u/15 = 6, what is u?

[A]. 90
[B]. 6/15
[C]. 9
[D]. 21

Q13. Which equation has no solution?

[A]. x + 4 = x + 5
[B]. x − 5 = 0
[C]. 2x = 0
[D]. x + 4 = 5

Q14. A tile pattern uses 3k + 1 tiles at step k. At which step are exactly 100 tiles used?

[A]. 100
[B]. 34
[C]. 33
[D]. 30

Q15. Madhubanti has ₹500 for snacks. Each plate costs ₹25 and delivery costs ₹50. Her family has five members, including herself, and each needs one plate. What is the maximum number of friends she can invite if each friend also gets one plate?

[A]. 18
[B]. 13
[C]. 15
[D]. 20

Class 7 Maths Part 2 Chapter 7 MCQs Set 4

Q16. Jahnavi has ₹4000 and saves ₹650 each month. Sunita has ₹5050 and saves ₹500 each month. After how many months will their savings be equal?

[A]. 7 months
[B]. 6 months
[C]. 10 months
[D]. 5 months

Q17. Akash subtracts 3 from a number, multiplies the result by 4, and adds 8. His final answer is 24. What was his starting number?

[A]. 7
[B]. 4
[C]. 11
[D]. 8

Q18. Ramesh and Suresh have 60 marbles altogether. Ramesh has 30 more than Suresh. How many marbles does Ramesh have?

[A]. 60
[B]. 45
[C]. 15
[D]. 30

Q19. In a three-digit number, the hundreds digit is 3 less than the tens digit, and the tens digit is 3 less than the units digit. The digits add to 15. What is the number?

[A]. 159
[B]. 357
[C]. 258
[D]. 528

Q20. A brick’s mass is 1 kg more than half its mass. What is its mass?

[A]. 3 kg
[B]. 1/2 kg
[C]. 1 kg
[D]. 2 kg

Class 7 Maths Part 2 Chapter 7 MCQs Set 5

Q21. Adding 9 to one quarter of a number gives the number itself. What is the number?

[A]. 36
[B]. 12
[C]. 3
[D]. 9

Q22. If 4k + 1 = 13, what is the value of 8k + 2?

[A]. 24
[B]. 15
[C]. 28
[D]. 26

Q23. A student solves 4x + 6 = 10 by writing 4x = 10 + 6 and x = 4. What is the correct value of x?

[A]. 1
[B]. 4
[C]. −1
[D]. 16

Q24. While solving 6x + 9 = 66, a student divides only 6x and 66 by 6, leaving 9 unchanged. What is the correct solution?

[A]. x = 57
[B]. x = 2
[C]. x = 11
[D]. x = 19/2

Q25. One person owns ₹300 and 6 horses. Another owns 10 horses but owes ₹100. Their net worths are equal, and every horse has the same price. What is the price of one horse?

[A]. ₹400
[B]. ₹100
[C]. ₹50
[D]. ₹200

Class 7 Maths Part 2 Chapter 7 MCQs Set 6

Q26. For Ax + B = Cx + D, where A ≠ C, which formula gives x?

[A]. x = (D + B)/(A + C)
[B]. x = (B − D)/(A − C)
[C]. x = (D − B)/(A − C)
[D]. x = (A − C)/(D − B)

Q27. Ranju receives ₹750 using an equal number of ₹50 notes and ₹100 notes. How many notes of each denomination does she receive?

[A]. 10 of each
[B]. 5 of each
[C]. 6 of each
[D]. 3 of each

Q28. A taxi charges ₹800 for a day plus ₹20 for each kilometre travelled. If the total bill is ₹2200, how far did it travel?

[A]. 110 km
[B]. 70 km
[C]. 150 km
[D]. 30 km

Q29. Some children and donkeys together have 28 heads and 80 feet. Each child has two feet and each donkey has four. How many donkeys are there?

[A]. 16
[B]. 20
[C]. 24
[D]. 12

Q30. A number is doubled, increased by 10, divided by 2, and then reduced by the original number. Finally, 3 is added. What is the final result?

[A]. 13
[B]. 8
[C]. 5
[D]. It depends on the starting number.

From Choosing Answers to Solving Equations Yourself

Checking is built into this chapter. Once you find a value in these Finding the Unknown MCQs, substitute it into the original equation and see whether the left side equals the right side; that one step exposes most wrong options. Watch for the errors highlighted in Mind the Mistake, Mend the Mistake, such as adding a number when it should be subtracted from both sides, or multiplying only one term inside a bracket. These equations use letter-numbers from Expressions using Letter-Numbers in Part 1 and the sign rules from Operations with Integers, so revise those chapters too on the Class 7 Maths MCQs page. Where both parts are numbered as one list, this is Chapter 15.

The Figure it Out questions in Ganita Prakash Part 2 Chapter 7 ask you to frame equations from word problems and solve them step by step, so full working matters more than the final number. The NCERT Solutions Class 7 Ganita Prakash show how to choose a letter-number for the unknown, write the equation and keep both sides balanced while simplifying, which is the same skill these MCQs check. The chapter also tells how bījagaṇita, the Indian name for algebra, grew through Brahmagupta’s work in 628 CE and how Indian ideas later influenced Al-Khwarizmi. After checking the solutions, try the magic trick at the end of the chapter and use an equation to explain why it always works.