Numbers (C10)
Fundamental Theorem of Arithmetic; Proofs of irrationality
Write the smallest number which is divisible by both 306 and 657
Write the smallest number which is divisible by both 306 and 657.
Read more …Prove that 2 + 5√3 is an irrational number
Prove that 2 + 5√3 is an irrational number, given that √3 is an irrational number.
Read more …Using Euclid’s Algorithm, find the HCF of 2048 and 960
Using Euclid’s Algorithm, find the HCF of 2048 and 960.
Read more …Given that √3 is an irrational number, prove that (2 + √3) is an irrational number
Given that √3 is an irrational number, prove that (2 + √3) is an irrational number.
Read more …Seven times a two digit number is equal to four times the number
Seven times a two digit number is equal to four times the number obtained by reversing the order of its digits. If the difference of the digits is 3, determine the number.
Read more …Show that exactly one of the numbers n, n + 2 or n + 4 is divisible by 3
Show that exactly one of the numbers n, n + 2 or n + 4 is divisible by 3.
Read more …If two positive integers p and q are written as p = a^2b^3 and q = a^3b
If two positive integers p and q are written as p = a2b3 and q = a3b; a, b are prime numbers, then verify:
LCM (p, q) × HCF (p, q) = pq
Use Euclid’s algorithm to find the HCF of 4052 and 12576
Use Euclid’s algorithm to find the HCF of 4052 and 12576.
Read more …Using Euclid’s division algorithm find the HCF of the numbers 867 and 255
Using Euclid’s division algorithm find the HCF of the numbers 867 and 255.
Read more …Find the HCF and LCM of 6, 72 and 120
Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method.
Read more …Find the HCF of 96 and 404 by the prime factorisation method
Find the HCF of 96 and 404 by the prime factorisation method. Hence, find their LCM.
Read more …A sweet seller has 420 kaju barfis and 130 badam barfis
A sweet seller has 420 kaju barfis and 130 badam barfis. She wants to stack them in such a way that each stack has the same number, and they take up the least area of the tray. What is the number of that can be placed in each stack for this purpose?
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