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Square and Square Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSSquare and Square Roots1 Mark
MCQ
Which of the following can be a perfect square?
  • A
    A number ending in $3$ or $7$
  • B
    A number ending with odd number of zeros
  • ✓
    A number ending with even number of zeros
  • D
    A number ending in $2$
✓

Answer

Correct option: C.
A number ending with even number of zeros
The number of zeros at the end of a perfect square are always even in number.
Let's the see the ending numbers of perfect squares:
$1, 4, 9, 16, 25, 36, 49, 64, 81, ....$
So, the ending digits are $1, 4, 5, 6, 9$
In the case $(i)$ and $(iv)$
From the above digits we can see that there are no perfect squares with $3,7$ or $2$ as ending digits.
In the case $(ii)$
A perfect square always has even number of ending zeroes:
eg. $10^2 = 100$
$100^2 = 10,000$
$1000^2 = 10,00,000$
So, the answer is $(iii)$.

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