Number Play Class 6 MCQs – Ganita Prakash Chapter 3

Number Play treats numbers as puzzles to explore rather than sums to finish and these Class 6 Maths Chapter 3 MCQs keep that playful spirit. Expect questions on what a line of children’s numbers can tell us, supercells and digit sums, palindromes, the 6174 discovery of D. R. Kaprekar, numbers on clocks and calendars, quick mental calculation, the unsolved Collatz conjecture, estimation and the winning strategy in the game of 21. Every answer is explained step by step, based on the 2026-27 NCERT book.

Class 6 Maths Chapter 3 Number Play MCQ Questions with Answers

Class 6 Maths Ganita Prakash Chapter 3 MCQs Set 1

Q1. Children stand in a line and each says how many of their immediate neighbours are taller. What is the greatest number a child at an end can say?

[A]. 3
[B]. 2
[C]. 1
[D]. 4

Q2. Five children of different heights stand from shortest to tallest. Each says the number of taller immediate neighbours. What sequence do they say from left to right?

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

Q3. A row contains 6828, 670, 9435, 3780, 3708, 7308, 8000, 5583, 52 in that order. A supercell is greater than every immediately adjacent entry. Which entries are supercells?

[A]. 670, 3708 and 52
[B]. 6828, 9435 and 8000
[C]. 9435 and 7308
[D]. 6828, 7308 and 5583

Q4. Nine cells in one row contain different numbers. What is the greatest possible number of supercells, if a supercell must exceed every immediately adjacent entry?

[A]. 8
[B]. 5
[C]. 9
[D]. 4

Q5. A grid cell contains 8632. Its neighbours immediately left, right, above and below contain 4580, 8280, 4795 and 1944. Is it a supercell?

[A]. No, because a supercell can have only two neighbours.
[B]. Yes, because it is greater than only the smallest neighbour.
[C]. Yes, because 8632 is greater than all four neighbours.
[D]. No, because all neighbours must be odd.

Q6. What does a child say if neither of the children standing next to them are taller?

[A]. 1
[B]. 0
[C]. 2
[D]. 3

Class 6 Maths Ganita Prakash Chapter 3 MCQs Set 2

Q7. On a number line, 2010 and 2020 are separated by two equal intervals. What number is at the mark halfway between them?

[A]. 2011
[B]. 2019
[C]. 2025
[D]. 2015

Q8. How many three-digit counting numbers are there?

[A]. 900
[B]. 899
[C]. 999
[D]. 1000

Q9. What is the smallest counting number whose digits add up to 14?

[A]. 59
[B]. 149
[C]. 68
[D]. 95

Q10. What is the largest five-digit number whose digit sum is 14?

[A]. 59,000
[B]. 90,500
[C]. 95,000
[D]. 99,000

Q11. When all the numbers from 1 to 100 are written, how many times is the digit 7 written?

[A]. 21
[B]. 10
[C]. 19
[D]. 20

Q12. What is a supercell in a table?

[A]. A cell that is smaller than all its neighbors
[B]. A cell with a unique color
[C]. A cell larger than all its adjacent cells
[D]. A cell with even numbers only

Class 6 Maths Ganita Prakash Chapter 3 MCQs Set 3

Q13. How many three-digit palindromes can be made using only the digits 1, 2 and 3, with repetition allowed?

[A]. 9
[B]. 27
[C]. 3
[D]. 6

Q14. Starting with 48, repeatedly add the number to its digit-reverse until a palindrome appears. What is the first palindrome obtained?

[A]. 363
[B]. 231
[C]. 132
[D]. 484

Q15. An odd five-digit palindrome has its tens digit twice its units digit and its hundreds digit twice its tens digit. What is the number?

[A]. 13,431
[B]. 24,842
[C]. 14,841
[D]. 12,421

Q16. What is the sum of the smallest and largest five-digit palindromes?

[A]. 1,09,999
[B]. 89,998
[C]. 1,10,000
[D]. 1,00,000

Q17. A 12-hour clock shows 10:01. Ignoring the colon, how many minutes pass before the next palindromic time?

[A]. 140 minutes
[B]. 60 minutes
[C]. 80 minutes
[D]. 70 minutes

Q18. How many 1-digit numbers exist?

[A]. 8
[B]. 9
[C]. 10
[D]. 15

Class 6 Maths Ganita Prakash Chapter 3 MCQs Set 4

Q19. For one Kaprekar step, arrange the digits of 6382 in decreasing and increasing order, then subtract the smaller number. What is the result?

[A]. 6174
[B]. 4176
[C]. 6264
[D]. 8632

Q20. Which four-digit number stays unchanged by the subtraction 7641 − 1467 in the Kaprekar process?

[A]. 6174
[B]. 6264
[C]. 4176
[D]. 7641

Q21. Using the three-digit Kaprekar process, which subtraction shows that 495 repeats?

[A]. 954 − 459 = 495
[B]. 945 − 459 = 486
[C]. 954 − 495 = 459
[D]. 594 − 459 = 135

Q22. Using each of the digits 4, 7, 3 and 2 once, what is the difference between the largest and smallest four-digit numbers?

[A]. 6084
[B]. 4086
[C]. 5085
[D]. 9779

Q23. What is the largest number between 35,000 and 75,000 whose digits are all odd? Repeated digits are allowed.

[A]. 73,999
[B]. 74,999
[C]. 75,111
[D]. 71,999

Q24. Which number is the Kaprekar constant for 4-digit numbers?

[A]. 7641
[B]. 6174
[C]. 3718
[D]. 196

Class 6 Maths Ganita Prakash Chapter 3 MCQs Set 5

Q25. You may add any number of copies of 400, 1500, 13,000, 25,000 and 60,000. Which target cannot be obtained?

[A]. 15,000
[B]. 1000
[C]. 16,000
[D]. 14,000

Q26. What is the greatest possible sum of two four-digit counting numbers?

[A]. 99,998
[B]. 19,998
[C]. 18,000
[D]. 1,99,998

Q27. Which statement correctly describes adding two five-digit counting numbers?

[A]. The sum always has five digits.
[B]. The sum can have five or six digits.
[C]. The sum always has six digits.
[D]. The sum can have four digits.

Q28. What is the smallest possible result when a two-digit counting number is subtracted from a five-digit counting number?

[A]. 9901
[B]. 99
[C]. 999
[D]. 9001

Q29. A number pattern contains twelve copies of 40 and ten copies of 50. What is the sum of all its numbers?

[A]. 880
[B]. 980
[C]. 1080
[D]. 900

Q30. In the Collatz sequence, what operation is applied if the number is odd?

[A]. Divide by 2
[B]. Subtract 1
[C]. Multiply by 3 and add 1
[D]. Multiply by 2

Class 6 Maths Ganita Prakash Chapter 3 MCQs Set 6

Q31. In the Collatz rule, an even number is halved and an odd number is multiplied by 3 and increased by 1. What follows 17?

[A]. 34
[B]. 5
[C]. 52
[D]. 18

Q32. Starting at 64, how many halving steps are needed to reach 1 using the Collatz rule?

[A]. 7
[B]. 5
[C]. 6
[D]. 8

Q33. Three sections of Class 6 have 32, 29 and 35 children. Estimating this as 100 children per class, about how many children are in Classes 6 to 10 altogether?

[A]. 300
[B]. 400
[C]. 1500
[D]. 500

Q34. In a game, players start from 0 and take turns adding 1, 2 or 3. The first to reach 21 wins. Which sequence should the first player aim to say?

[A]. 1, 4, 7, 10, 13, 16
[B]. 1, 5, 9, 13, 17, 21
[C]. 2, 6, 10, 14, 18
[D]. 3, 6, 9, 12, 15, 18

Q35. Two players start from 0 and take turns adding a whole number from 1 to 10. The first to reach 99 wins. Which strategy guarantees a win?

[A]. The second player always adds 1.
[B]. The first player always adds 10.
[C]. The first player always adds 9.
[D]. The second player makes each pair of additions total 11.

Invent Your Own Number Puzzles, Then Try Every Chapter

The best way to master Number Play is to play. Pick a four-digit number with at least two different digits and run Kaprekar’s routine, reverse a number and keep adding until you reach a palindrome, or start the Collatz steps from your age. The textbook even notes that 196 is suspected never to produce a palindrome, so some questions have no known answer at all. Writing one MCQ of your own for each idea tests your understanding better than any shortcut. When you are ready, move to the complete collection of Class 6 Maths MCQs for the remaining Ganita Prakash chapters, in English and Hindi Medium, and keep the same curious approach.

Number Play NCERT Solutions to Check Your Reasoning

Number Play exercises reward careful reasoning more than speed. You colour the supercells in a table, fill a table with 4-digit numbers so that the supercells are exactly the coloured cells, find numbers whose digit sum is 14, and help Pratibha make the smallest and largest numbers from the digits 4, 7, 3 and 2. Our NCERT Solutions for Class 6 Maths Chapter 3 Number Play show the thinking behind each answer, which is exactly what you need when a question has more than one possible solution. Compare your method with the one in the solution. If both reach a correct answer, you have learnt two ways to think about the same problem, and the related MCQs here will feel much easier.