Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

Double it and multiply it by 4. Then divide it by 8 and you’ll have it once more. What number is it?

In a competitive exam, each correct answer could win you 10 points and each wrong answer could lose you 5 points. You sat in the exam and answered all the 20 questions, which were given in the exam.
When you checked the result, you scored 125 marks on the test.

Can you calculate how many answers given by you were wrong?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

On one occasion, A Boy collects 71 rupees in form of 20 paise and 25 paise. He collects a total of 324 coins.

Can you tell me how many 20-paisa and 25-paisa he got?

There is a box. The area of its top is 240 square units, the area of the front is 300 square units and the area of the end is 180 square units.

Can you calculate the dimensions of this box with the given data?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

John's five friends Rachel, Jacob, Phoebe, Joey and Chandler live on the same road.

Rachel lives in the house: A, Jacob lives in the house: B, Phoebe lives in the house: C, Joey lives in the house:D, Chandler lives in the house: E

Mathematically
B*C*D = 1260
B + C + D = 2E
2A = E

The road numbers run from 2 to 222.

Can you tell me the house number of each of John's friends?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?