Imp Questions For All Chapters – Ganit Prakash Class 7th
Number Play
Section 6.1 – Numbers Tell Us Things
1. What rule do the children follow while saying numbers?
Ans: Each child says how many taller children are standing in front of them.
2. If a person says ‘0’, are they always the tallest?
Ans: Only sometimes true. They may not be the tallest but might not have any taller person in front.
Section 6.2 – Picking Parity
3. What is parity?
Ans: Parity tells whether a number is even or odd.
4. What is the result of adding two odd numbers?
Ans: The sum is always even.
5. What is the result of adding an even and an odd number?
Ans: The sum is always odd.
6. Can five odd numbers add up to 30?
Ans: No, because the sum of an odd number of odd numbers is always odd.
7. Maria and Martin are born one year apart. Can their ages add up to 112?
Ans: No, the sum of two consecutive numbers is always odd, but 112 is even.
8. What is the parity of 3 even numbers added together?
Ans: Even
9. What is the parity of 3 odd numbers added together?
Ans: Odd
Section 6.3 – Grids and Magic Squares
10. What is a magic square?
Ans: A square in which all rows, columns, and diagonals have the same sum.
11. What is the magic sum of a 3×3 magic square using numbers 1 to 9?
Ans: 15
12. Which number must be at the center of a 3×3 magic square (1–9)?
Ans: 5
13. Why can’t 1 or 9 be at the center of a 3×3 magic square?
Ans: Because no valid combinations exist to form 15 using 1 or 9 at the center with numbers from 1–9.
Section 6.4 – Virahāṅka–Fibonacci Numbers
14. What is the Virahāṅka–Fibonacci sequence?
Ans: A sequence where each number is the sum of the two previous numbers:
1, 2, 3, 5, 8, 13, 21, 34, …
15. What is the 100th odd number?
Ans: 199 (using formula: 2n – 1)
16. How many rhythms are possible with 8 beats using 1s and 2s?
Ans: 34 rhythms
17. Who discovered this sequence in India?
Ans: Virahāṅka, around 700 CE.
18. What is the 10th term of the Virahāṅka sequence?
Ans: 89
Section 6.5 – Digits in Disguise
19. What is a cryptarithm?
Ans: A puzzle where digits are replaced with letters and you have to find which letter stands for which digit.
20. If Dorjee toggles a bulb 77 times, will it be ON or OFF?
Ans: OFF — because an odd number of toggles changes the state from ON to OFF.
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