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Q.

The perfect squares among the following numbers 1, 2, 3, 8, 36, 49, 65, 67, 71, 81, 169, 625, 125, 900, 100, 1000, 10000 is


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a

49, 65, 81, 169, 625, 900,100, 1000

b

8, 36, 49, 81, 169, 625, 900, 1000

c

1, 36, 49, 81, 169, 625, 900,100. 10000

d

8, 65, 81, 169, 625, 900,100. 10000 

answer is C.

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Detailed Solution

Concept: Perfect square is the result of multiplying an integer by itself. These figures are positive. For instance, 9 is an example of a square number because it can be expressed as 33.
The inverse, or opposite, operation, of many mathematical operations. The opposite of addition is subtraction, the opposite of multiplication is division, and so on. Finding the square root is the inverse of squares, which we learnt about in a previous lesson on exponents. Keep in mind that a number is multiplied by itself to form its square. The squares of the following whole integers are perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
 12=1×1=1 62=6×6=36
72=7×7=49
 92=9×9=81
 132=13×13=169
252=25×25=625
302 =30×30=900102 =10×10=100 1002 =100×100=10000So, from above given numbers,
1, 36, 49, 81, 169, 625, 900 and 100 are perfect squares.
Hence, the correct answer is option 3.
 
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