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Quantitative Aptitude
Equations
The number of...
Question
The number of digits in the square root of a number having 7 digits is
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Solution
In
a
square
root
the
number
of
digits
are
never
less
than
half
of
the
number
but
can
be
more
than
that
,
e
.
g
.
in
sq
root
of
13
digit
number
.
.
.
number
of
digits
is
7
.
The
number
of
digits
in
the
square
root
of
a
number
having
n
digits
is
n
2
for
even
number
of
digits
.
and
n
+
1
2
for
odd
number
of
digits
.
Therefore
,
the
number
of
digits
in
the
square
root
of
a
number
having
7
digits
is
7
+
1
2
=
8
2
=
4
digits
.
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Q.
Fill in the blanks.
(i) 1 + 3 + 5 + 7 + 9 + 11 + 13 = (.........)
2
.
(ii)
1681
=
.
.
.
.
.
.
.
.
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(iii) The smallest square number exactly divisible by 2, 4, 6 is .........
(iv) A given number is a perfect square having n digits, where n is odd. Then, its square root will have ......... digits.
