Suppose we have a number n. We have to check whether the product of (1*2*...*n) is divisible by (1+2+...+n) or notSo, if the input is like num = 5, then the output will be True as (1*2*3*4*5) = 120 and (1+2+3+4+5) = 15, and 120 is divisible by 15.To solve this, we will follow these steps −if num + 1 is prime, thenreturn falsereturn trueExampleLet us see the following implementation to get better understanding − Live Demodef isPrime(num):    if num > 1:       for i in range(2, num):          if num % i == 0:             return False       return True    return False def solve(num):    if isPrime(num + 1):       return False    return True num = 3 print(solve(num))Input5OutputTrue

Suppose we have a number n. We have to check whether the product of odd placed digits and the even placed digits are same or not.So, if the input is like n = 2364, then the output will be True as product of odd placed numbers are 2 * 6 = 12 and product of even placed numbers are 3 * 4 = 12 which are same.To solve this, we will follow these steps −if num < 10, thenreturn Falseodd_place := 1, even_place := 1while num > 0, dod := last digit of numodd_place := odd_place * dnum := quotient ... Read More

Suppose we have an array nums with all prime numbers. We have to check whether the product of all numbers present in nums is a perfect square or not.So, if the input is like nums = [3, 3, 7, 7], then the output will be True as product of all elements in nums is 441 which is a perfect square as 21^2 = 441.To solve this, we will follow these steps −m := a map containing all elements in nums and their frequenciesfor each key in nums, doif m[key] is odd, thenreturn Falsereturn TrueExampleLet us see the following implementation to ... Read More

Suppose we have two numbers x and y. We have to check whether one of these two numbers is 1's complement of the other or not. We all know the 1's complement of a binary number is flipping all bits from 0 to 1 or 1 to 0.So, if the input is like x = 9, y = 6, then the output will be True as the binary representations are x = 1001 and y = 0110 which are complement of each other.To solve this, we will follow these steps −z = x XOR yreturn true when all bits in ... Read More

Suppose we have a number which is either in octal or in decimal form. If this is in octal form check whether it is palindrome or not. If the number in decimal, then convert it to octal then check whether it is palindrome or not.So, if the input is like num = 178, then the output will be True as the number is not in octal form (8 is not valid symbol in octal but valid in decimal), then convert it to octal which is 262 and this is palindrome.To solve this, we will follow these steps −base := 8 ... Read More

Suppose we have a number n, and we have another input c. We have to check whether n can be displayed using 7-segment displays or not. Now here is a constraint. We are only allowed to glow at most c number of LEDs.So, if the input is like n = 315 c = 17, then the output will be True as 315 needs 12 LEDs and we have 17.To solve this, we will follow these steps −seg := a list containing led counts for all digits : [6, 2, 5, 5, 4, 5, 6, 3, 7, 6]s := n as ... Read More

Suppose we have a number n. We have to check whether n is a strong prime or not. As we know a number said to be strong prime when it is a prime number that is greater than the average of nearest prime numbers.So, if the input is like num = 37, then the output will be True as nearest prime numbers are 31 and 41, the average is (31+41)/2 = 36. And 37 > 36.To solve this, we will follow these steps −if num is not prime or num is 2, thenreturn Falselast := num - 1, next := ... Read More

Suppose we have two numbers x and n. We have to check whether x is divisible by 2^n or not without using arithmetic operators.So, if the input is like x = 32 n = 5, then the output will be True as 32 = 2^5.To solve this, we will follow these steps −if x AND (2^n - 1) is 0, thenreturn Truereturn FalseExampleLet us see the following implementation to get better understanding − Live Demodef solve (x, n):    if (x & ((1

Suppose we have a number n. We have another two numbers a and b. We have to check whether we can generate a number using a and b that divides n.So, if the input is like n = 115, a = 3, b = 2, then the output will be True as 115 is divisible by 23 which is made of 2 and 3.To solve this, we will follow these steps −Define a function util() . This will take temp, a, b, nif temp > n, thenreturn Falseif n is divisible by temp, thenreturn Truereturn true when at least one ... Read More

Suppose we have a number n, we have to check whether n is a Factorial prime or not. As we know a number is said to be a factorial prime when it is a prime number that is one less than or one more than a factorial of any number.So, if the input is like n = 719, then the output will be True as 719 = 720 - 1 = 6! - 1To solve this, we will follow these steps −if num is not a prime, thenreturn Falsefactorial := 1, i := 1while factorial