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Properties of Square Numbers

Question 20Wr...

Question

Question 20

Write the correct answer from the given four options.

If m is the square of a natural number n, then n is

a) The square of m
b) Greater than m
c) Equal to m
d) $\sqrt{m}$

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Solution

Given, m is the square of n, i.e. $m = n^{2}$
Taking square root both sides, we get
$n = \sqrt{m}$

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Question 22

Write the correct answer from the given four options.

If m is the cube root of n, then n is

a) $m^{3}$
b) $\sqrt{m}$
c) $\frac{m}{3}$
d) $\sqrt[3]{m}$

Question 22

Write the correct answer from the given four options.

If m is the cube root of n, then n is

a) $m^{3}$
b) $\sqrt{m}$
c) $\frac{m}{3}$
d) $\sqrt[3]{m}$

Question 21

Write the correct answer from the given four options.

A perfect square number having n digits, where n is even, will have square root with

a) $(n + 1)$ digit
b) $\frac{n}{2}$ digit
c) $\frac{n}{3}$ digit
d) $(\frac{n + 1}{2})$ digit

Question 12

Write the correct answer from the given four options.

The sum of first n odd natural numbers is

a) $2 n + 1$
b) $n^{2}$
c) $n^{2} - 1$
d) $n^{2} + 1$

I f A^{m} = 0, n o w, i f f o r t h i s A, (I - A)^{n} = I + A + A^{2} + . . . + A^{m - 1}, t h e n n i s e q u a l t o

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