No, it's impossible for four children to say '1' and the last one to say '0'. If four children each say '1', they would need exactly one taller neighbor. This implies the tallest child, with no taller neighbor, must say '0'. However, this arrangement conflicts with the condition for four children saRead more
No, it’s impossible for four children to say ‘1’ and the last one to say ‘0’. If four children each say ‘1’, they would need exactly one taller neighbor. This implies the tallest child, with no taller neighbor, must say ‘0’. However, this arrangement conflicts with the condition for four children saying ‘1’. Such scenarios reveal the inherent dependency on height variations and positioning among the children.
The sequence 1, 1, 1, 1, 1 is not possible. Each child saying '1' requires one taller neighbor, but the tallest child cannot meet this condition. For a valid arrangement, the tallest child would say '0', indicating no taller neighbor. Thus, achieving this sequence is incompatible with the constraintRead more
The sequence 1, 1, 1, 1, 1 is not possible. Each child saying ‘1’ requires one taller neighbor, but the tallest child cannot meet this condition. For a valid arrangement, the tallest child would say ‘0’, indicating no taller neighbor. Thus, achieving this sequence is incompatible with the constraints set by the problem. This illustrates how relative heights determine the numbers assigned to each child.
The sequence 0, 1, 2, 1, 0 is possible. To achieve this, the tallest child should stand at the center, with slightly shorter children on either side, and the shortest children at the ends. The shortest children have no taller neighbors, so they say '0'. Those beside the tallest say '1', while the taRead more
The sequence 0, 1, 2, 1, 0 is possible. To achieve this, the tallest child should stand at the center, with slightly shorter children on either side, and the shortest children at the ends. The shortest children have no taller neighbors, so they say ‘0’. Those beside the tallest say ‘1’, while the tallest says ‘2’. This arrangement satisfies the conditions for each child’s number assignment, demonstrating the importance of strategic positioning.
To maximize the number of children saying '2', the tallest child should be placed in the center, surrounded by slightly shorter children on both sides. This arrangement ensures that the tallest child and their immediate neighbors each have two taller neighbors, fulfilling the condition to say '2'. TRead more
To maximize the number of children saying ‘2’, the tallest child should be placed in the center, surrounded by slightly shorter children on both sides. This arrangement ensures that the tallest child and their immediate neighbors each have two taller neighbors, fulfilling the condition to say ‘2’. The remaining two children at the ends will have only one taller neighbor each, saying ‘1’. This strategic positioning highlights how height differences and placement influence the resulting numbers.
In the given table, supercells are identified as cells meeting certain conditions, such as divisibility rules, unique digit properties, or being prime numbers. These cells stand out due to their distinct mathematical characteristics, such as even digit sums or palindromic properties. For example, aRead more
In the given table, supercells are identified as cells meeting certain conditions, such as divisibility rules, unique digit properties, or being prime numbers. These cells stand out due to their distinct mathematical characteristics, such as even digit sums or palindromic properties. For example, a number like 6828 might qualify due to its symmetrical structure. Supercells help students explore patterns and logical reasoning in number systems, encouraging analytical thinking.
There are 5 children in a group, all of different heights. Can they stand such that four of them say 1 and the last one says 0? Why or why not?
No, it's impossible for four children to say '1' and the last one to say '0'. If four children each say '1', they would need exactly one taller neighbor. This implies the tallest child, with no taller neighbor, must say '0'. However, this arrangement conflicts with the condition for four children saRead more
No, it’s impossible for four children to say ‘1’ and the last one to say ‘0’. If four children each say ‘1’, they would need exactly one taller neighbor. This implies the tallest child, with no taller neighbor, must say ‘0’. However, this arrangement conflicts with the condition for four children saying ‘1’. Such scenarios reveal the inherent dependency on height variations and positioning among the children.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
For this group of 5 children, is the sequence 1, 1, 1, 1, 1 possible?
The sequence 1, 1, 1, 1, 1 is not possible. Each child saying '1' requires one taller neighbor, but the tallest child cannot meet this condition. For a valid arrangement, the tallest child would say '0', indicating no taller neighbor. Thus, achieving this sequence is incompatible with the constraintRead more
The sequence 1, 1, 1, 1, 1 is not possible. Each child saying ‘1’ requires one taller neighbor, but the tallest child cannot meet this condition. For a valid arrangement, the tallest child would say ‘0’, indicating no taller neighbor. Thus, achieving this sequence is incompatible with the constraints set by the problem. This illustrates how relative heights determine the numbers assigned to each child.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
Is the sequence 0, 1, 2, 1, 0 possible? Why or why not?
The sequence 0, 1, 2, 1, 0 is possible. To achieve this, the tallest child should stand at the center, with slightly shorter children on either side, and the shortest children at the ends. The shortest children have no taller neighbors, so they say '0'. Those beside the tallest say '1', while the taRead more
The sequence 0, 1, 2, 1, 0 is possible. To achieve this, the tallest child should stand at the center, with slightly shorter children on either side, and the shortest children at the ends. The shortest children have no taller neighbors, so they say ‘0’. Those beside the tallest say ‘1’, while the tallest says ‘2’. This arrangement satisfies the conditions for each child’s number assignment, demonstrating the importance of strategic positioning.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
How would you rearrange the five children so that the maximum number of children say 2?
To maximize the number of children saying '2', the tallest child should be placed in the center, surrounded by slightly shorter children on both sides. This arrangement ensures that the tallest child and their immediate neighbors each have two taller neighbors, fulfilling the condition to say '2'. TRead more
To maximize the number of children saying ‘2’, the tallest child should be placed in the center, surrounded by slightly shorter children on both sides. This arrangement ensures that the tallest child and their immediate neighbors each have two taller neighbors, fulfilling the condition to say ‘2’. The remaining two children at the ends will have only one taller neighbor each, saying ‘1’. This strategic positioning highlights how height differences and placement influence the resulting numbers.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/
Colour or mark the supercells in the table below. 6828, 670, 9435, 3780, 3708, 7308, 8000, 5583 52
In the given table, supercells are identified as cells meeting certain conditions, such as divisibility rules, unique digit properties, or being prime numbers. These cells stand out due to their distinct mathematical characteristics, such as even digit sums or palindromic properties. For example, aRead more
In the given table, supercells are identified as cells meeting certain conditions, such as divisibility rules, unique digit properties, or being prime numbers. These cells stand out due to their distinct mathematical characteristics, such as even digit sums or palindromic properties. For example, a number like 6828 might qualify due to its symmetrical structure. Supercells help students explore patterns and logical reasoning in number systems, encouraging analytical thinking.
For more NCERT Solutions for Class 6 Math Chapter 3 Number Play Extra Questions and Answer:
See lesshttps://www.tiwariacademy.com/ncert-solutions-class-6-maths-ganita-prakash-chapter-3/