Question : The least number that should be subtracted from 63520 to make the result a perfect square is:

Option 1: 30

Option 2: 24

Option 3: 14

Option 4: 16

Question : Let $x$ be the least number which when subtracted from 10424 gives a perfect square number. What is the least number by which $x$ should be multiplied to get a perfect square?

Option 1: 3

Option 2: 2

Option 3: 6

Option 4: 5

Question : What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?

Option 1: 25

Option 2: 5

Option 3: 2

Option 4: 3

Question : Find the least number divisible by 2, 3, 5, 6, 9, and 18 which is a perfect square.

Option 1: 900

Option 2: 400

Option 3: 144

Option 4: 3600

Question : Point A divides segment BC in the ratio 4 : 1. Coordinates of B are (6, 1) and coordinates of C are ($\frac{7}{2}$, $6$). What are the coordinates of point A?

Option 1: (4, 3)

Option 2: (4, 5)

Option 3: (2, 5)

Option 4: (3, 5)