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
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Correct Answer: 16
Solution : Check whether 63520 is a perfect square using the division method: Remainder = 16 Hence, 63520 is not a perfect square. ⇒ 63520 – 16 = 63504 is a perfect square. So, the least number that should be subtracted is 16. Hence, the correct answer is 16.
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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 : The least number that divides 37044, gives the result in a perfect cube, is:
Option 1: 2
Option 2: 4
Option 4: 21
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 4 – 16
Option 2: 8 – 24
Option 3: 14 – 26
Option 4: 16 – 36
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 : What smallest positive number should be subtracted from 2 and 3 so that 4 is the third proportion to them?
Option 1: 1
Option 3: 4
Option 4: 3
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