Class 7 Maths Ganita Prakash Part 1 Chapter 6 MCQs – Number Play

Use these Number Play Class 7 MCQ questions to sharpen your reasoning with numbers. Number Play is Chapter 6 of Class 7 Maths Ganita Prakash Part 1, a chapter of puzzles and patterns rather than long calculations. The questions test parity, which means whether a number is even or odd, the parity of sums and products, row and column sums in grids, magic squares, the Virahāṅka–Fibonacci sequence 1, 2, 3, 5, 8, 13, … and cryptarithms. Look for a pattern before calculating anything.

Number Play Class 7 MCQ Questions with Answers

Class 7 Maths Ganita Prakash Chapter 6 MCQs Set 1

Q1. Eight children of different heights stand in a line. Each calls out the number of taller children in front. What is the largest possible number called out?

[A]. 9
[B]. 8
[C]. 6
[D]. 7

Q2. Each child in a line counts the taller children in front. What number must the first child call out?

[A]. 0
[B]. The number of children behind
[C]. 1
[D]. The child’s height

Q3. Seven children of different heights stand from shortest in front to tallest at the back. Each counts the taller children in front. What sequence do they call out?

[A]. 0, 1, 2, 3, 4, 5, 6
[B]. 0, 0, 0, 0, 0, 0, 0
[C]. 0, 1, 0, 1, 0, 1, 0
[D]. 6, 5, 4, 3, 2, 1, 0

Q4. Seven children of different heights stand from tallest in front to shortest at the back. Each counts the taller children in front. What is the sequence?

[A]. 1, 2, 3, 4, 5, 6, 7
[B]. 6, 5, 4, 3, 2, 1, 0
[C]. 0, 1, 2, 3, 4, 5, 6
[D]. 0, 0, 0, 0, 0, 0, 0

Q5. Children count the taller children in front of them. Which statement is always true?

[A]. The tallest child calls 0
[B]. The last child calls the largest number
[C]. Only the first child can call 0
[D]. Anyone calling 0 is the tallest

Q6. Can five cards, each showing an odd number, have a total of 30?

[A]. Yes, because 30 is divisible by 5
[B]. No, because five odd numbers have an odd sum
[C]. Yes, if one card shows 1
[D]. No, because every odd number is greater than 30

Q7. Two siblings are exactly one year apart and celebrate their birthday today. Can their ages in completed years add up to 112?

[A]. Yes, if both ages are even
[B]. Yes, if both ages are odd
[C]. No, because consecutive ages have an odd sum
[D]. No, because consecutive ages have the same parity

Q8. Lakpa has an odd number of ₹1 coins, an odd number of ₹5 coins and an even number of ₹10 coins. Why can the total not be ₹205?

[A]. The total must be less than ₹200
[B]. The total must be odd
[C]. The total must be even
[D]. Every total must be a multiple of 10

Q9. Which result always follows when an odd integer is subtracted from an even integer?

[A]. An odd integer
[B]. An even integer
[C]. A positive integer
[D]. Zero

Q10. Which grid has an odd number of small squares?

[A]. 27 × 13
[B]. 3 × 4
[C]. 135 × 654
[D]. 42 × 78

Q11. A number is divisible by 2 if it ends in:

[A]. 3
[B]. 7
[C]. 0
[D]. 5

Q12. A number is divisible by 5 if it ends in:

[A]. 3
[B]. 2
[C]. 0 or 5
[D]. 7

Q13. A number is divisible by 10 only if it ends in:

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

Q14. A number is divisible by 3 if the sum of its digits is:

[A]. An even number
[B]. A multiple of 2
[C]. A multiple of 3
[D]. Ends in 3

Class 7 Maths Chapter 6 Number Play MCQs

Class 7 Maths Ganita Prakash Chapter 6 Number Play starts by showing us how numbers are more than just digits — they tell stories and follow patterns. You will see activities where children stand in a line and call out numbers based on who’s taller in front of them. It’s not about knowing exact heights, but understanding how to represent relationships using numbers. These types of exercises help us think logically. Practicing MCQs from this part is very important because they test how quickly and accurately you can identify such patterns. MCQs make you think fast and pick the correct option out of many, which helps in exams and in sharpening your observation skills.

Class 7 Maths Ganita Prakash Chapter 6 MCQs Set 2

Q15. For every integer m, which expression always gives an odd number?

[A]. 4m
[B]. 4m − 1
[C]. 2m + 4
[D]. 6m + 2

Q16. What is the 100th positive odd number?

[A]. 199
[B]. 200
[C]. 100
[D]. 99

Q17. A bulb is initially ON. Its switch is toggled 77 times, changing its state each time. What is its final state?

[A]. Its state cannot be determined
[B]. ON, because every toggle restores it
[C]. OFF, because 77 is odd
[D]. ON, because 77 is positive

Q18. What is the sum of the integers from 1 to 100, and what is its parity?

[A]. 101, odd
[B]. 5000, even
[C]. 5050, odd
[D]. 5050, even

Q19. A book numbers each sheet on its two sides as 1 and 2, then 3 and 4, and so on. Can the page numbers on 50 complete loose sheets have a total of 6000?

[A]. No, because every such total is odd
[B]. Yes, because there are 100 pages
[C]. Yes, because 6000 is even
[D]. No, because every such total leaves remainder 2 when divided by 4

Q20. Which number is divisible by both 2 and 3?

[A]. 12
[B]. 13
[C]. 15
[D]. 17

Q21. Which of the following is divisible by 6?

[A]. 20
[B]. 24
[C]. 25
[D]. 27

Q22. Which of these numbers is divisible by 9?

[A]. 81
[B]. 82
[C]. 90
[D]. 72

Q23. A number divisible by 4 must have its last two digits as:

[A]. Multiple of 3
[B]. Multiple of 2
[C]. Multiple of 4
[D]. Odd number

Learning MCQ with Even and Odd Numbers

We explore parity — a fancy word for even and odd numbers. You’ll learn what happens when we add or subtract different kinds of numbers. For example, is it possible to add five odd numbers and get an even total? Can two siblings with consecutive ages have a sum of 112? These real-life puzzles help us understand how numbers behave in groups. The MCQs in this section help you test this understanding in short questions. They improve your ability to reason quickly and apply rules like even + odd = odd or odd + odd = even. Practicing MCQs here makes you more confident in solving both puzzles and number problems.

Class 7 Maths Ganita Prakash Chapter 6 MCQs Set 3

Q24. A 3 × 3 grid uses the numbers 1 to 9 exactly once. What are the smallest and largest possible sums of a row?

[A]. 6 and 27
[B]. 3 and 27
[C]. 6 and 24
[D]. 9 and 21

Q25. A 3 × 3 grid uses each number from 1 to 9 once. All three row sums and all three column sums are added together. What is the total?

[A]. 90
[B]. 60
[C]. 45
[D]. 81

Q26. A 3 × 3 magic square uses the numbers 1 to 9 exactly once. What is its magic sum?

[A]. 15
[B]. 45
[C]. 24
[D]. 9

Q27. Which number must occupy the centre of a 3 × 3 magic square using 1 to 9 exactly once?

[A]. 5
[B]. 1
[C]. 3
[D]. 9

Q28. Where must 1 and 9 lie in a 3 × 3 magic square using 1 to 9 exactly once?

[A]. One at the centre and one in a corner
[B]. In middle positions on opposite sides of the boundary
[C]. In two neighbouring corners
[D]. Both in corners

Q29. If a number is divisible by 9, its digit sum is:

[A]. Odd
[B]. Even
[C]. 0
[D]. Multiple of 9

Q30. Which number is divisible by both 5 and 10?

[A]. 35
[B]. 25
[C]. 50
[D]. 45

Q31. A number divisible by 3 and 2 is always divisible by:

[A]. 5
[B]. 10
[C]. 6
[D]. 4

Q32. 324 is divisible by:

[A]. 5
[B]. 4
[C]. 3 and 9
[D]. 2 only

Discovering the Magic of Grids with Class 7 Maths Chapter 6 MCQs

In the middle of the chapter, we explore magic squares — grids where all rows, columns and diagonals add up to the same number. It feels like a math mystery! You’ll learn how to build a magic square using numbers from 1 to 9 and why the number 5 must be at the center. We even look at famous examples from Indian history like the Chautisa Yantra. Solving MCQs related to these grids tests your understanding of number placement and logic. These questions help you learn which numbers can go where and why, all while strengthening your grid-based reasoning — a skill used in puzzles, coding and geometry.

Class 7 Maths Ganita Prakash Chapter 6 MCQs Set 4

Q33. A 3 × 3 magic square has magic sum 15. If 1 is added to every entry, what is the new magic sum?

[A]. 30
[B]. 16
[C]. 18
[D]. 24

Q34. A 3 × 3 magic square is made from nine consecutive numbers and has centre 25. What is its magic sum?

[A]. 25
[B]. 50
[C]. 60
[D]. 75

Q35. Which operation on every entry of a 3 × 3 magic square using 1 to 9 gives a magic sum of 0?

[A]. Divide every entry by 5
[B]. Add 5 to every entry
[C]. Subtract 15 from every entry
[D]. Subtract 5 from every entry

Q36. One row of the Chautisa Yantra magic square is 7, 12, 1, 14. What is the sum of each row, column and diagonal of this magic square?

[A]. 30
[B]. 34
[C]. 24
[D]. 36

Q37. The Virahanka–Fibonacci sequence begins 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. What are the next three numbers?

[A]. 134, 223, 357
[B]. 144, 233, 3779
[C]. 144, 178, 322
[D]. 144, 233, 377

Q38. Which of these is not divisible by 2?

[A]. 32
[B]. 44
[C]. 51
[D]. 18

Q39. What is the digit sum of 378?

[A]. 16
[B]. 18
[C]. 12
[D]. 17

Q40. Which of the following numbers is divisible by 10?

[A]. 100
[B]. 105
[C]. 111
[D]. 125

Q41. Which of these is divisible by 3 but not 2?

[A]. 30
[B]. 36
[C]. 33
[D]. 42

Revision with Class 7 Ganita Prakash Chapter 6 MCQs

Towards the end of Class 7 Maths Chapter 6, we meet the amazing Virahāṅka–Fibonacci sequence, which connects Maths with poetry and nature. We also solve cryptarithms — puzzles where letters stand for digits and you must figure out the real numbers behind the words. These topics show how math is connected to art, history and even flowers! The MCQs from these sections push your creative thinking. They train you to find logic in unexpected places and build problem-solving stamina. MCQs are a great way to practice identifying sequences, decoding patterns and thinking outside the box — all while staying sharp and quick with your answers.

Class 7 Maths Ganita Prakash Chapter 6 MCQs Set 5

Q42. Angaan climbs an 8-step staircase, taking either 1 or 2 steps at a time. Different orders count as different ways. How many ways can he reach the top?

[A]. 55
[B]. 16
[C]. 21
[D]. 34

Q43. What is the parity of the 20th term of the Virahanka–Fibonacci sequence starting 1, 2, 3, 5, 8, …? A) Both odd and even

[A]. Both odd and even
[B]. Even
[C]. Odd
[D]. Impossible to determine without its exact value

Q44. Two consecutive Virahanka–Fibonacci numbers are 987 and 1597. What are the two terms immediately before 987, in increasing order?

[A]. 610 and 987
[B]. 233 and 377
[C]. 377 and 610
[D]. 2584 and 4181

Q45. In the cryptarithm K2 + K2 = HMM, K2 is a two-digit number and HMM is a three-digit number. What is K?

[A]. 9
[B]. 4
[C]. 7
[D]. 5

Q46. In the cryptarithm UT + TA = TAT, the letters represent digits and leading digits are nonzero. Which addition is the solution?

[A]. 71 + 10 = 81
[B]. 91 + 10 = 101
[C]. 81 + 10 = 91
[D]. 92 + 20 = 112

Q47. Which number is divisible by both 2 and 5?

[A]. 20
[B]. 35
[C]. 60
[D]. 45

Q48. Which of the following numbers is divisible by 4?

[A]. 13
[B]. 21
[C]. 12
[D]. 17

Q49. Which number is divisible by 6 but not by 9?

[A]. 18
[B]. 24
[C]. 27
[D]. 36

Q50. Which rule does not check divisibility?

[A]. Last digit rule
[B]. Sum of digits rule
[C]. Prime factor rule
[D]. Last two digits rule

FAQs

What types of questions appear in Class 7 Maths Ganita Prakash Chapter 6 MCQ?

Students often wonder what to expect in the MCQs from Chapter 6 Number Play. These questions usually check your understanding of key ideas like parity (even/odd), sequences, magic squares, set-based sums and simple letter‑digit puzzles (cryptarithms). For example, one MCQ might ask if adding five odd numbers can result in an even sum (it can’t!), while another might show a 3×3 grid and ask which row or column adds to a magic constant. To prepare effectively, start by learning the basic rules: even + even = even, odd + odd = even and odd + even = odd. Then practice with small puzzles—like figuring out the middle number in a magic square or solving a letter‑digit equation. When you see a practice MCQ, first quickly recall the rule, eliminate impossible options, then choose the best answer. Regular practice builds speed and confidence.

Why are Class 7 Maths Ganita Prakash Chapter 6 MCQ important for exams and thinking skills?

MCQs in Chapter 6 are more than just test questions—they strengthen your logical thinking and familiarity with patterns. These objective questions ask you to pick the correct option quickly. That helps you build sharp decision-making skills under time pressure. For example, in the sequence section of Number Play, you may be given a pattern like 0, 1, 1, 2, 3… and asked which comes next. Learning the back‑and‑forth between options helps you recognise it fast. Also, chapter MCQs cover a wide range of topics—sequences, sums, parity and cryptarithms—so you revisit every concept in short bursts. This repetitive exposure ensures the ideas stick in your mind. Teachers often say that regular MCQ practice helps students avoid silly mistakes and boosts their accuracy during exams.

How can I improve quickly at answering Class 7 Maths Ganita Prakash Chapter 6 MCQ?

To improve quickly, follow these three steps: learn, apply and review. First, make sure you understand the rules—like how magic squares always have the same total in each row and how parity works. Next, apply those rules by doing focused practice: use practice sets or worksheets that contain MCQs from Chapter 6. For instance, learn how to fill a grid so all rows and diagonals sum to the same number, then answer related MCQs. Finally, review your mistakes and ask: “Why was my choice wrong?” Maybe you forgot that rotating a magic square doesn’t change its sum, or mis-read a letter puzzle. Over time, this cycle helps you avoid repeating errors. Aim to answer 10–15 MCQs each day, then check your answers and learn from any mistakes. This method is the fastest path to becoming confident with Chapter 6 MCQs.

Keep Playing with Numbers After the MCQs

Parity settles many of these Number Play MCQs without any adding. The sum of two odd numbers is even, an odd count of odd numbers always adds up to an odd total, and a product is even as soon as one factor is even. That is why five odd number cards can never add up to 30, and why a bulb that is on ends up off after its switch is toggled 77 times. In a 3 × 3 magic square made from the numbers 1 to 9, the magic sum must be 15, which quickly rules out many options. Parity also applies to algebraic expressions such as 3n + 4, whose parity depends on n, so link this chapter with Expressions using Letter-Numbers on the Class 7 Ganita Prakash MCQs page.

Ganita Prakash Chapter 6 rewards patient thinking. Its questions ask you to decide whether a grid can be filled with given row and column sums, build your own magic squares, count the rhythms of short and long syllables that lead to the Virahāṅka numbers, and crack cryptarithms in which letters hide digits. The chapter also tells how the Prakrit scholar Virahāṅka described this sequence around 700 CE, about 500 years before Fibonacci wrote about it in 1202. The NCERT Testbook Solutions for Class 7 Maths explain the reasoning behind each puzzle, so you can see why an answer must be true. Try each question on your own first, then check your logic step by step.