Practicing Class 7 Maths MCQ and Class 7 Maths Chapter 6 Number Play MCQ Questions Online Test with Answers daily helps in time management.
MCQ on Number Play Class 7
Number Play MCQ Class 7
Class 7 Maths MCQ Chapter 6 Number Play
Multiple Choice Questions
Question 1.
What will be the parity of the expression 5n + 2 when n = 3?
(a) Even
(b) Odd
(c) Sometimes even, sometimes odd
(d) Cannot be determined
Answer:
(a) Even
Question 2.
Which of the following statements is always true about the sum of two odd numbers?
(a) The sum will always be odd
(b) The sum will always be even
(c) The sum will always be prime
(d) The sum will always be negative
Answer:
(c) The sum will always be prime
Question 3.
For a grid with dimensions 15 × 21, what is the parity of the number of small squares?
(a) Odd
(b) Even
(c) Cannot be determined
(d) Both even and odd
Answer:
(d) Both even and odd
Question 4.
What is the 50th odd number in the sequence of odd numbers?
(a) 101
(b) 100
(c) 99
(d) 98
Answer:
(c) 99
Question 5.
What will be the parity of the result for the expression even-odd?
(a) Even
(b) Odd
(c) Cannot be determined
(d) It depends on the numbers involved
Answer:
(a) Even
Question 6.
The nth even number is given by
(a) 2n + 2
(b) 2n – 1
(c) n + 2
(d) 2n
Answer:
(b) 2n – 1
Question 7.
If the parity of a number is even, it means
(a) It is divisible by 2
(b) It ends in 1
(c) It is odd
(d) None of these
Answer:
(d) None of these
Question 8.
Which of the following statements is true about the sum of all row sums or column sums in a 3 × 3 grid filled with numbers from 1 to 9?
(a) The sum of all rows is 45.
(b) The sum of all rows is 90.
(c) The sum of all columns is 90.
(d) Both row sums and column sums add to 45.
Answer:
(a) The sum of all rows is 45.
Question 9.
What is the centre number in a 3 × 3 magic square using 1 to 9?
(a) 3
(b) 4
(c) 5
(d) 6
Answer:
(c) 5
Question 10.
Which of the following is a correct sequence for Virahanka?
(a) 1, 1, 2, 4, 7, 11
(b) 0, 1, 1, 2, 3, 6
(c) 1, 2, 3, 4, 5, 6
(d) 1, 2, 3, 5, 8
Answer:
(d) 1, 2, 3, 5, 8
Question 11.
The 9th term of the Virahanka sequence is
(a) 8
(b) 10
(c) 55
(d) 11
Answer:
(c) 55
Question 12.
In a magic square, the sum of the diagonal elements is
(a) same as row and column sum
(b) different from the row sum
(c) cannot be known
(d) equal to the centre number
Answer:
(a) same as row and column sum
Question 13.
Which of the following is a correct statement about the 4 × 4 magic square?
(a) Each row, column, and diagonal adds upto 25
(b) Each row, column, and diagonal adds upto 34
(c) The magic sum is 45
(d) The numbers used are from 1 to 9
Answer:
(b) Each row, column, and diagonal adds upto 34
Question 14.
Which of the following is the correct value of K in the following cryptarithm?
(a) 7
(b) 6
(c) 8
(d) 9
Answer:
(d) 9
Question 15.
What is the sum of the first three odd numbers?
(a) 3
(b) 6
(c) 9
(d) 12
Answer:
(c) 9
Question 16.
Which number must be in the centre of a 3 × 3 magic square so that the sum of rows is 15?
(a) 3
(b) 5
(c) 7
(d) 9
Answer:
(b) 5
Question 17.
Which of the following pairs is not in the Virahanka sequence?
(a) 2, 3
(b) 5, 8
(c) 8, 11
(d) 3, 5
Answer:
(c) 8, 11
Question 18.
Which of the following sums is always odd?
(a) Odd + Odd
(b) Even + Even
(c) Odd + Even
(d) None of these
Answer:
(c) Odd + Even
Question 19.
What is the 8th number in the Virahanka sequence?
(a) 13
(b) 21
(c) 34
(d) 55
Answer:
(c) 34
Question 20.
What is the total of all numbers in a 3 × 3 magic square using 1 to 9?
(a) 15
(b) 27
(c) 45
(d) 60
Answer:
(c) 45
Assertion-Reason Based Questions
Study the Assertion (A) and Reason (R) statements given below and choose the correct alternative.
Question 1.
Assertion (A): The sum of two consecutive numbers is always odd.
Reason (R): In two consecutive numbers, one is odd and the other is even.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false, but R is true.
Answer:
(a) Both A and R are true, and R is the correct explanation of A.
Question 2.
Assertion (A): Eight odd numbers cannot add upto an even number.
Reason (R): The sum of an odd number of odd numbers is always odd.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false, but R is true.
Answer:
(d) A is false, but R is true.
Question 3.
Assertion (A): The expression 3n + 5 is always even when n is odd.
Reason (R): When n is odd, 3n is even, and adding 5 (which is odd) to an odd number results in an odd number.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false, but R is true.
Answer:
(c) A is true but R is false.
Question 4.
Assertion (A): Every 3 × 3 magic square made with numbers 1 to 9 has the same centre number.
Reason (R): The middle number 5 is used to balance the sums of rows, columns, and diagonals.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false, but R is true.
Answer:
(a) Both A and R are true, and R is the correct explanation of A.
Question 5.
Assertion (A): In the Fibonacci sequence, each term is obtained by adding the previous two terms.
Reason (R): The difference between two consecutive Fibonacci numbers is always the same.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false, but R is true.
Answer:
(c) A is true but R is false.
Question 6.
Assertion (A): The Virahanka-Fibonacci sequence begins as 0, 1, 1, 4, 3, 5, 8, 13,…..
Reason (R): The third term of the sequence is found by adding the first and second terms.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false, but R is true.
Answer:
(d) A is false, but R is true.
Fill in the blanks.
1. An even number can always be arranged in ________________
Answer: pairs
2. The sum of two odd numbers is always ________________
Answer: even
3. An odd number plus an even number results in an ________________ number.
Answer: odd
4. Two consecutive numbers have ________________ parity.
Answer: odd
5. The sum of two consecutive numbers is always ________________
Answer: odd
6. The next number in the pattern 3, 6, 12, 24, is ________________
Answer: 48
7. The product of two odd numbers is always an ________________ number.
Answer: odd
8. A ________________ square is a square arrangement of numbers where every row, column, and diagonal has the same total.
Answer: magic
9. The total of numbers from 1 to 9 is ________________
Answer: 45
10. In a 3 × 3 magic square using numbers 1 to 9, the magic sum is always ________________
Answer: 15
11. The centre of a 3 × 3 magic square must be the number ________________
Answer: 5
12. The Virahahka sequence is also called the ________________ sequence.
Answer: Fibonacci
13. In the Virahahka sequence, each number is the ________________ of the two numbers before it.
Answer: sum
14. The first six numbers of the Virahahka sequence are ________________
Answer: 1, 2, 3, 5, 8, 13
15. The sum of the first 5 numbers in the Virahahka sequence is ________________
Answer: 19
16. If Z + Z + Z = 1Z then the value of Z is ________________
Answer: 5
State whether the following statements are True or False.
1. Odd + Odd = Even.
Answer: True
2. The expression 7n + 1 always produces an even number for any value of n.
Answer: False
3. It is possible for four even numbers and three odd numbers to add to an even number.
Answer: False
4. In a grid with an even number of rows and an even number of columns, the total number of small squares will always be even.
Answer: True
5. If two odd numbers are multiplied together, the result is always divisible by 2.
Answer: False
6. In a 4 × 4 magic square, the sum of all rows and all columns adds upto 272.
Answer: False
7. You can create only one type of magic square using numbers 1 to 9.
Answer: False
8. In the Virahanka sequence, each term is the difference of the previous two.
Answer: False
9. The 6th term in the Virahanka sequence is 8.
Answer: False
10. The Virahanka sequence is an ancient Indian contribution.
Answer: True
11. If two numbers of the Virhanka-Fibonacci sequence are 4181 and 6765, then the previous term in the sequence is 1587.
Answer: False
Case-Based Questions
Question 1.
At the Odd-Even Festival, participants wear numbers. Those with odd numbers can only form groups that make an even total. The rule is ‘Only even sums are magical.’
(i) If three people with numbers 1, 3, and 5 form a group, is their sum magical?
(ii) How many odd numbers must be added to get an even sum?
(iii) Can a group with two odd and one even number be magical? Why or why not?
(iv) A group has 2, 4, and 7. Is the sum magical? Show calculation.
Answer:
(i) No
(ii) Even count of odd numbers
(iii) No
(iv) No
Question 2.
In a puzzle competition, each team must create a 3 × 3 magic square using numbers 1 to 9. One team places 5 in the centre and then fills the remaining numbers. However, another team mistakenly uses the number 9 twice and forgets to use 3.
(i) What is the total sum of all numbers from 1 to 9 if used correctly?
(ii) Why is placing 5 at the centre helpful for creating balance in a magic square?
(iii) What mistake did the second team make, and why does it affect the magic property?
(iv) If one row in their square adds to 17 and the others do not, is it a magic square? Why or why not?
Answer:
(i) 45
(ii) Do yourself
(iii) Do yourself
(iv) No
Complete the following table.
Question 1.
| Expression | Odd/Even |
| (i) 2n | |
| (ii) 2n – 1 | |
| (iii) 3n + 4 | |
| (iv) 4n + 6 | |
| (v) 5n + 15 | |
| (vi) 6n – 2 |
Answer:
| Expression | Odd/Even |
| (i) 2n | Even |
| (ii) 2n – 1 | Odd |
| (iii) 3n + 4 | Both |
| (iv) 4n + 6 | Even |
| (v) 5n + 15 | Both |
| (vi) 6n – 2 | Even |
Question 2.
Complete the magic square. Fill in the blanks so that each row, column, and diagonal adds upto 15.
Answer:
Very Short Answer Type Questions
Question 1.
What is the result of adding two consecutive even numbers?
Answer:
Even number
Question 2.
Write the 5th number in the Virahanka sequence.
Answer:
8
Question 3.
In a 3 × 3 magic square using digits 2 to 10, what is the magic sum?
Answer:
18
Question 4.
What is the sum of the first 4 odd numbers?
Answer:
16
Question 5.
Fill in the blank.
0, 1, 1, 2, 3, 5, ___
Answer:
8
Short Answer Type Questions
Question 1.
Write two different sets of numbers using only odd numbers to make a sum of 9.
Answer:
1 + 3 + 5 and 7 + 1 + 1
Question 2.
Show that the sum of two even numbers is always even. Give two examples.
Answer:
2 + 4 = 6; 6 + 8 = 14
Question 3.
Write any 4 consecutive numbers and find their sum. Is the sum even or odd?
Answer:
Even
Question 4.
Fill in the next four terms of the Virahanka sequence after 1, 2.
Answer:
3, 5, 8, 13
Question 5.
Solve the following cryptarithm and find the value of the letters.
Answer:
(a) M = 7, K = 4, H = 1
(b) P = 1, Q = 5, R = 0
Question 6.
What would happen if you subtract 2 from each term of the generalised form of magic square? What if you tripled each term?
Answer:
If you subtract a constant from each term of a magic square, the resulting square will no longer be magic.
Question 7.
Use the parity rule (odd + odd = even, even + even = even, odd + even = odd) to check the sum of the numbers in the following set 3, 5, 2, 8, 7.
(a) How many odd and even numbers are there?
(b) What is the total sum?
(c) Is the final sum odd or even? Explain using parity.
Answer:
(a) Odd: 3; Even: 2
(b) 25
(c) Odd
Question 8.
Complete the following 3 × 3 magic square using numbers 1 to 9. Then verify the magic sum of each row, column and diagonal.
Answer:
Question 9.
The first six terms of a number pattern are 1, 2, 3, 5, 8.
(a) Write the next three terms of the sequence.
(b) Name the sequence.
(c) Explain how the pattern is formed.
Answer:
(a) 13, 21, 34
(b) Virhanka-Fibonacci sequence
(c) Do yourself
Question 10.
Ria says that the sum of any three consecutive Fibonacci numbers is always even. Check if this is true by taking the first three sets of consecutive Fibonacci numbers and showing their sums. Then, write your conclusion.
Answer:
Ria’s statement is incorrect.
Question 11.
Create a 3 × 3 magic square using the numbers 21 to 29. Then, find the magic sum and verify that rows, columns and diagonals add upto it.
Answer:
Question 12.
A rabbit is trying to reach the 10th stepping stone. It starts on the first stone and can hop forward either 1 or 2 stones at a time. In how many different ways can the rabbit reach the 10th stone?
Answer:
89
Question 13.
Fill the 3 × 4 grid below using exactly 7 odd numbers (o) and 5 even numbers (e). Each circle at the end of a row or column shows the parity of the sum (e = even, o = odd). Use the given parities to deduce where to place the odd and even numbers.
Answer:
Do yourself
Question 14.
Create a 3 × 3 magic square such that the sum of each row, each column, and both diagonals is 6. You may use both positive and negative integers, but not all numbers can be the same.
Answer:
Long Answer Type Questions
Question 1.
Create your own 3 × 3 magic square using the numbers 1 to 9.
(a) Place the numbers correctly.
(b) Show all row, column, and diagonal sums.
(c) What is the total of each line?
(d) Is the centre number 5? Explain.
(e) Can you place 9 at the centre? Why?
Answer:
(i) (a)
(b) Rows: 15; Columns: 15; Diagonals: 15
(c) 15
(d) Yes
(e) No
Question 2.
Write the first 10 Virhanka-Fibonacci numbers and answer the following.
(a) What is the 7th number?
(b) Add the 4th and 6th numbers.
(c) What is the total sum of the first 5 numbers in the sequence?
(d) What is the difference between the 9th and 6th terms?
(e) State the rule of the sequence clearly.
Answer:
(a) 21
(b) 18
(c) 19
(d) 42
(e) The term is the sum of the two terms preceding it.
Question 3.
A person adds three even numbers and says the result is odd.
(a) Is it possible? Why or why not?
(b) Give an example of three even numbers.
(c) What is their sum?
(d) What if one number were odd?
(e) What does this show about number parity?
Answer:
(a) Not possible
(b) 2, 4, 6
(c) 12
(d) odd
(e) Do yourself
Question 4.
Two consecutive numbers in the Virahanka sequence are 377 and 610.
Based on this, answer the following.
(a) What are the next three numbers in the sequence?
(b) What are the previous three numbers in the sequence?
Answer:
(a) 987, 1597, 2584
(b) 89, 144, 233