Advertisements
Advertisements
प्रश्न
Find the least positive value of x such that 89 ≡ (x + 3) (mod 4)
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
Check whether 6n can end with the digit 0 for any natural number n.
There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point?
What is the HCF of the smallest prime number and the smallest composite number?
If the product of two numbers is 1080 and their HCF is 30, find their LCM.
Find the LCM and HCF of the following integers by applying the prime factorisation method.
8, 9 and 25
The largest number which divides 60 and 75, leaving remainders 8 and 10 respectively, is ______.
The product of two consecutive natural numbers is always ______.
When a number is divided by 7, its remainder is always ______.
n2 – 1 is divisible by 8, if n is ______.
(HCF × LCM) for the numbers 70 and 40 is ______.
