Advertisements
Advertisements
प्रश्न
Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)
Advertisements
उत्तर
To find the least value of x such that
89 ≡ (x + 3) (mod 4)
89 – (x + 3) = 4n for some integer n.
86 – x = 4n
86 – x is a multiple of 4.
∴ The least value of x must be 2 then 86 – 2 = 84.
84 is a multiple of 4.
∴ x value must be 2.
APPEARS IN
संबंधित प्रश्न
Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
State Fundamental Theorem of Arithmetic.
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
Express 98 as a product of its primes.
If two positive integers A and B can be expressed as A = xy3 and B = xiy2z; x, y being prime numbers, the LCM (A, B) is ______.
The ratio of LCM and HCF of the least composite and the least prime numbers is ______.
If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.
If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is ______.
Show the 6n cannot end with digit 0 for any natural number 'n'.
The HCF of the smallest 2-digit number and the smallest composite number is ______.
