[Latexpage]

# Numbers

The number of persons who booked ticket for the New Year’s concert is a perfect square. If 100 more persons booked ticket then the number of spectators would be a perfect square plus 1. If still 100 more persons booked ticket then the number of spectators would be again a perfect square. How many persons booked ticket for the concert?

### Solve our previous ‘questions of the day’

1. Greater than 40.

1. Hehe ‘Greater than 1’ is also correct :p

2. Approach sir 😛

1. Sir, I meant the square root of the number of people who attended the concert will be greater than 40. This is because no squares of natural numbers below 40 fit the pattern as mentioned in the question 🙂

2. Abhishek Tandon

People who attended concert =2401

49^2,50^2,51^2

1. Abhishek Tandon

My approach:
a^2+100=b^2+1
b^2-a^2=99

b^2+101=c^2
c^2-b^2=101
(c-b)(c+b)=101
Since 101 is prime
So, factors must be prime and 1
c-b=1 means c=b+1
c+b=101 means 1+2b=101
b= 50
c=51
Hence a=49

3. 2401

4. Sumit Singh

2401

5. shivam mukherjee

2401

• What is the solution?

By Akhilesh Poddar, 4 weeks ago

• In the island of Hoola Boola Moola , inhabitants have a...

By Sanket211, 3 months ago

• For a=0.9086, x= 1.0286 and a= -1.6627, x= 4.9173

By Aditya Dang, 4 months ago

• Since, x+1 satisfies the equation ax^2+ bx+ c=0. Theref...

By Aditya Dang, 4 months ago

• The HCF of 141 and 517 is 47. But 47 does not completel...

By Aditya Dang, 4 months ago

• 1. How many integral pairs (x, y), where 0< x, y <...

By lastknight99, 4 months ago

• Hi, It is given that a= (212)b . Forming an equation...

By Aditya Dang, 4 months ago

• Perimeter of circle is 2pi(793)^1/2.

By Aditya Dang, 4 months ago

• Area of ΔDOC is 21cm^2.

By Aditya Dang, 4 months ago

• Length of smaller of two sides is equal to 36 units.

By Aditya Dang, 4 months ago

• Length of AB is (17)^1/2 units.

By Aditya Dang, 4 months ago

• The sum borrowed is Rs. 3300.

By Aditya Dang, 4 months ago