Question : The least number to be subtracted from 16800 to make it a perfect square is:
Option 1: 169
Option 2: 219
Option 3: 159
Option 4: 249
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Correct Answer: 159
Solution : The closest perfect square to 16800 is 16900, a square of 130. So, the square of 129 = 129 × 129 = 16641 The least number to be subtracted from 16800, to make it a perfect square is: 16800 – 16641 = 159 Hence, the correct answer is 159.
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Question : What is the least number of students in a class such that they can make rows of 10,15 and 20 and also the total number of students is a perfect square?
Option 1: 6400
Option 2: 1600
Option 3: 900
Option 4: 1800
Question : A number, when subtracted from 3 times the second number, gives a result equal to $\frac{3}{4}$ of the first number. What is the ratio of the first number to the second number?
Option 1: 11 : 6
Option 2: 12 : 7
Option 3: 9 : 5
Option 4: 10 : 7
Question : What is that least perfect square which is exactly divisible by each of 14, 84, and 28?
Option 1: 7056
Option 2: 3528
Option 3: 1764
Option 4: 441
Question : What is that least perfect square, which is exactly divisible by each of 12, 84 and 24?
Option 1: 2304
Option 2: 7056
Option 3: 11664
Option 4: 1764
Question : What is the smallest perfect square number that is divisible by both 10 and 15?
Option 1: 1200
Option 2: 1800
Option 3: 360
Option 4: 900
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