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Answer to Q34

At a party, everyone shook hands with everybody else. There were 4005 handshakes. How many people were at the party?

The number of handshakes between people is always the sum of 1+2+3+...+(n-1). n = number of people. Say there are 5 people, handshake between them will be 1+2+3+4 = 10 (try that with your friends 😀)

The sum of 1 to n of any number is (n(n+1))÷2. For example 1+2+3+4+5 = 15 and (5(5+1))÷2 = (5*6)÷2 = 15

So, to find the number of people at the party

(n(n+1))÷2 = 4005

Cross multiplying:
n(n+1) = 4005x2 = 8010

Expanding the bracket:
n² + n = 8010
n² + n - 8010 = 0

Solving that using the Almighty Formula (I don't think I need to go into that details)

n = 90 and -89

Ofcourse there can be negative people at the party so answer is 90 people

Answer: 90



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Answer to Q34

At a party, everyone shook hands with everybody else. There were 4005 handshakes. How many people were at the party?

The number of handshakes between people is always the sum of 1+2+3+...+(n-1). n = number of people. Say there are 5 people, handshake between them will be 1+2+3+4 = 10 (try that with your friends 😀)

The sum of 1 to n of any number is (n(n+1))÷2. For example 1+2+3+4+5 = 15 and (5(5+1))÷2 = (5*6)÷2 = 15

So, to find the number of people at the party

(n(n+1))÷2 = 4005

Cross multiplying:
n(n+1) = 4005x2 = 8010

Expanding the bracket:
n² + n = 8010
n² + n - 8010 = 0

Solving that using the Almighty Formula (I don't think I need to go into that details)

n = 90 and -89

Ofcourse there can be negative people at the party so answer is 90 people

Answer: 90

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What is Telegram?

Telegram’s stand out feature is its encryption scheme that keeps messages and media secure in transit. The scheme is known as MTProto and is based on 256-bit AES encryption, RSA encryption, and Diffie-Hellman key exchange. The result of this complicated and technical-sounding jargon? A messaging service that claims to keep your data safe.Why do we say claims? When dealing with security, you always want to leave room for scrutiny, and a few cryptography experts have criticized the system. Overall, any level of encryption is better than none, but a level of discretion should always be observed with any online connected system, even Telegram.

In many cases, the content resembled that of the marketplaces found on the dark web, a group of hidden websites that are popular among hackers and accessed using specific anonymising software.“We have recently been witnessing a 100 per cent-plus rise in Telegram usage by cybercriminals,” said Tal Samra, cyber threat analyst at Cyberint.The rise in nefarious activity comes as users flocked to the encrypted chat app earlier this year after changes to the privacy policy of Facebook-owned rival WhatsApp prompted many to seek out alternatives.Riddles Repository Answers from vn


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