Start learning 50% faster. Sign in now
Let the number of Boys participating in the tournament be ‘n’ Since, every participant played two games with every other participant, Therefore, the total number of games played among the boys is 2 × nC2 = n(n-1) And the number of games played with each girls = 2n But since there are two girls, hence the total number of games boys played with 2 girls = 2 × 2n = 4n Now, according to the question { n(n-1)} – 4n = 204 n2 - 5n – 204 = 0 n2 - 17n + 12n – 204 = 0 n(n-17)+ 12 (n-17)= 0 n=17,-12 Ignoring negative value We get, n=17 ∴ total number of Participants = 17 + 2 = 19
A number, when divided by 64, leaves a remainder of 47. What will be the remainder when it is divided by 16?
What least number must be added to 6834 to get a number exactly divisible by 18?
There are 3 natural numbers. If the average of any 2 numbers is added with the third number 34, 30 and 28 will be obtained. Find the numbers.
If the number 985212m8 is completely divisible by 11, then the smallest whole number in place of ‘m’ would be:
What is the difference between 3/5 of 150 and 1/2 of 300?
How much greater than 30 is the result when twice the sum of the first five prime numbers is subtracted from the largest two-digit prime number?
The divisor is 35 times the quotient and 7 times the remainder. If the quotient is 18, the dividend is :
If (3/4)th of a number is subtracted from (5/6)th of that number, then the resultant will be (2/6). Find the number.
What is the average of all the prime numbers which are less than 35?
Akhilesh has a collection of toys, and he tries arranging them in different group sizes. Whenever he groups them in pairs (2s), triplets (3s), sets of f...