We only need to examine numbers from 1 up to √n (specifically, the integer part ⌊√n⌋). If a number d divides n, then n/d is also a divisor. One factor in the pair must always be less than or equal to √n, so finding all smaller divisors automatically discovers the paired larger ones without scanningRead more
We only need to examine numbers from 1 up to √n (specifically, the integer part ⌊√n⌋). If a number d divides n, then n/d is also a divisor. One factor in the pair must always be less than or equal to √n, so finding all smaller divisors automatically discovers the paired larger ones without scanning all the way to n.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 11 The World of Algorithms Question Answer (2026-27)
Identify the larger number, M = max(a, b) and the smaller number, N = min(a, b). Set a variable multiple equal to M. Check if multiple is divisible by N. If yes, output multiple as the LCM and stop. If no, add M to multiple and repeat Step 3. (Alternatively, compute gcd(a, b) first and output (a × bRead more
Identify the larger number, M = max(a, b) and the smaller number, N = min(a, b).
Set a variable multiple equal to M.
Check if multiple is divisible by N.
If yes, output multiple as the LCM and stop.
If no, add M to multiple and repeat Step 3.
(Alternatively, compute gcd(a, b) first and output (a × b) / gcd(a, b).)
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 11 The World of Algorithms Question Answer (2026-27)
A linear equation in two variables x and y is expressed in standard form as ax + by + c = 0. Substituting the given values a = 2, b = 5 and c = 10, we obtain the equation 2x + 5y + 10 = 0. Since the coefficients are already integers, no further simplification is required. Thus, the required linear eRead more
A linear equation in two variables x and y is expressed in standard form as ax + by + c = 0. Substituting the given values a = 2, b = 5 and c = 10, we obtain the equation 2x + 5y + 10 = 0. Since the coefficients are already integers, no further simplification is required. Thus, the required linear equation is 2x + 5y + 10 = 0.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
Charlie's equation t = 2p is the correct representation. According to the problem, the cost of one notebook is twice the cost of one pen. Representing the notebook cost as ₹t and the pen cost as ₹p gives the relation t = 2 × p. In contrast, Meera's equation p = 2t falsely states that the pen costs tRead more
Charlie’s equation t = 2p is the correct representation. According to the problem, the cost of one notebook is twice the cost of one pen. Representing the notebook cost as ₹t and the pen cost as ₹p gives the relation t = 2 × p. In contrast, Meera’s equation p = 2t falsely states that the pen costs twice as much as the notebook.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
Yes, Manisha's representation x + y = 176 is completely correct. The given scenario states that two Indian batsmen scored a total of 176 runs together. By assigning the variable x to the runs scored by the first batsman and y to the runs scored by the second batsman, their combined score forms the sRead more
Yes, Manisha’s representation x + y = 176 is completely correct. The given scenario states that two Indian batsmen scored a total of 176 runs together. By assigning the variable x to the runs scored by the first batsman and y to the runs scored by the second batsman, their combined score forms the standard linear equation in two variables, x + y = 176.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
Divisors occur in pairs. For instance, the divisors of 18 are (1, 18), (2, 9) and (3, 6). If we write out divisors in pairs, how many numbers do we have to examine between 1 and n to find all the divisors of n?
We only need to examine numbers from 1 up to √n (specifically, the integer part ⌊√n⌋). If a number d divides n, then n/d is also a divisor. One factor in the pair must always be less than or equal to √n, so finding all smaller divisors automatically discovers the paired larger ones without scanningRead more
We only need to examine numbers from 1 up to √n (specifically, the integer part ⌊√n⌋). If a number d divides n, then n/d is also a divisor. One factor in the pair must always be less than or equal to √n, so finding all smaller divisors automatically discovers the paired larger ones without scanning all the way to n.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 11 The World of Algorithms Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-11/
See lessDescribe an algorithm to compute the least common multiple (LCM) of two numbers.
Identify the larger number, M = max(a, b) and the smaller number, N = min(a, b). Set a variable multiple equal to M. Check if multiple is divisible by N. If yes, output multiple as the LCM and stop. If no, add M to multiple and repeat Step 3. (Alternatively, compute gcd(a, b) first and output (a × bRead more
If yes, output multiple as the LCM and stop.
If no, add M to multiple and repeat Step 3.
(Alternatively, compute gcd(a, b) first and output (a × b) / gcd(a, b).)
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 11 The World of Algorithms Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-11/
See lessWrite a linear equation in two variables in which a = 2, b = 5 and c = 10.
A linear equation in two variables x and y is expressed in standard form as ax + by + c = 0. Substituting the given values a = 2, b = 5 and c = 10, we obtain the equation 2x + 5y + 10 = 0. Since the coefficients are already integers, no further simplification is required. Thus, the required linear eRead more
A linear equation in two variables x and y is expressed in standard form as ax + by + c = 0. Substituting the given values a = 2, b = 5 and c = 10, we obtain the equation 2x + 5y + 10 = 0. Since the coefficients are already integers, no further simplification is required. Thus, the required linear equation is 2x + 5y + 10 = 0.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessThe cost of a notebook is twice the cost of a pen. Consider the cost of a notebook to be ₹t and that of a pen to be ₹p. Charlie wrote t = 2p, whereas Meera wrote p = 2t. Which of these two representations is correct?
Charlie's equation t = 2p is the correct representation. According to the problem, the cost of one notebook is twice the cost of one pen. Representing the notebook cost as ₹t and the pen cost as ₹p gives the relation t = 2 × p. In contrast, Meera's equation p = 2t falsely states that the pen costs tRead more
Charlie’s equation t = 2p is the correct representation. According to the problem, the cost of one notebook is twice the cost of one pen. Representing the notebook cost as ₹t and the pen cost as ₹p gives the relation t = 2 × p. In contrast, Meera’s equation p = 2t falsely states that the pen costs twice as much as the notebook.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessIn a one-day International Cricket match between India and Sri Lanka played in Nagpur, two Indian batsmen together scored 176 runs. Manisha expressed this situation as x + y = 176, where the number of runs scored by one batsman is x and the number of runs scored by the other is y. Is this a correct representation?
Yes, Manisha's representation x + y = 176 is completely correct. The given scenario states that two Indian batsmen scored a total of 176 runs together. By assigning the variable x to the runs scored by the first batsman and y to the runs scored by the second batsman, their combined score forms the sRead more
Yes, Manisha’s representation x + y = 176 is completely correct. The given scenario states that two Indian batsmen scored a total of 176 runs together. By assigning the variable x to the runs scored by the first batsman and y to the runs scored by the second batsman, their combined score forms the standard linear equation in two variables, x + y = 176.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See less