Question : By which natural number should 5000 be divided so that it becomes a perfect square?
Option 1: 2
Option 2: 5
Option 3: 8
Option 4: 7
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Correct Answer: 2
Solution : Find factors of 5000, 5000 = 2 × 5 × 5 × 10 × 10 Here, the factor of 2 doesn't come in a pair. Therefore, 5000, when divided by 2, will yield a perfect square. Hence, the correct answer is 2.
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Question : If a perfect square, not divisible by 6, is divided by 6, the remainder will be:
Option 1: 1, 3 or 5
Option 2: 1, 2 or 5
Option 3: 1, 3 or 4
Option 4: 1, 2 or 4
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 : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?
Option 2: 1
Option 3: 4
Option 4: 2
Question : Directions: The information given below represents the number codes for the given letters. Select the combination of numbers so that the letters arranged accordingly will form a meaningful word. R = 1, E = 2, A = 3, C = 4, T = 5, I = 6, V = 7, E = 8
Option 1: 4, 1, 2, 3, 5, 8, 7, 6
Option 2: 4, 1, 2, 3, 5, 6, 7, 8
Option 3: 7, 2, 1, 3, 8, 4, 5, 6
Option 4: 4, 3, 1, 5, 6, 7, 8, 2
Question : What is the smallest number by which 625 must be divided so that the quotient is a perfect cube?
Option 1: 25
Option 3: 2
Option 4: 3
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