Tag: maths

Questions Related to maths

Find the square of rational number $\dfrac{13}{26}$.

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $\dfrac{169}{676}$

  2. $\dfrac{144}{169}$

  3. $\dfrac{169}{576}$

  4. $\dfrac{13}{26}$

Show answer
Correct Option: A
Explanation:

First find the square $13$ and $26.$
$169 = 13 \times 13$
$676 = 26 \times 26$
So, the square of $\dfrac{13}{26}=\dfrac{169}{676}$

What is the square of $\dfrac{66}{11}$?

maths square and square root perfect square or square number squares and triangles powers and roots

  1. 64

  2. 25

  3. 36

  4. 77

Show answer
Correct Option: C
Explanation:
On simplifying the rational number, we get
$\dfrac{66}{11} = 6$

So, square of $\dfrac{66}{11} = 6^2 = 36$

Hence, Option C is correct.

$5*25$ is a square of $75.$Which digit should replace $*$?

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $1$

  2. $6$

  3. $3$

  4. $4$

Show answer
Correct Option: B
Explanation:

Multiply ten's digit with its next number.
$7 \times (7 + 1) = 7 \times 8 = 56 ---(1)$
Find the square of unit's digit: $5$
$5^2 = 25$ ----(2)
Combining (1) and (2), we get
$5625 = 75 \times75$
So, $6$ is the missing number.

What is the square of $\dfrac{9}{10}$?

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $\dfrac{61}{100}$

  2. $\dfrac{81}{100}$

  3. $\dfrac{91}{100}$

  4. $\dfrac{81}{10}$

Show answer
Correct Option: B
Explanation:

$\dfrac{9}{10}$$\times$$\dfrac{9}{10}$ $=$ $\dfrac{81}{100}$

Hence, Option B is correct.

What is the square of $\dfrac{36}{100}$?

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $\dfrac{81}{625}$

  2. $\dfrac{9}{625}$

  3. $\dfrac{81}{25}$

  4. $\dfrac{11}{625}$

Show answer
Correct Option: A
Explanation:

square of $\dfrac{36}{100} = \dfrac{1296}{10000}$

On simplifying, we get,

Square of $\dfrac{36}{100} = \dfrac{81}{625}$

Find the square of rational number: $\dfrac{17 \times 18}{2 \times 9}$

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $144$

  2. $81$

  3. $289$

  4. $324$

Show answer
Correct Option: C
Explanation:

Square of rational number $ = (\dfrac{17 \times 18}{2 \times 9})^2$
                                            

                                            $ = \dfrac{289 \times 324}{4 \times 81}$
                                             $= 289$

Find the square of rational number $\dfrac{13 \times 12}{10 \times 13}$.

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $\dfrac{16}{25}$

  2. $\dfrac{26}{25}$

  3. $\dfrac{36}{25}$

  4. $\dfrac{36}{15}$

Show answer
Correct Option: C
Explanation:

Square of rational number = $(\cfrac{13 \times 12}{10 \times 13})^2$
= $\cfrac{169 \times 144}{100\times 169}$
= $\cfrac{36}{25}$

What is the square of $\dfrac{1}{100}$?

maths square and square root perfect square or square number squares and triangles powers and roots

  1. 0.0001

  2. 0.001

  3. 0.01

  4. 0.1

Show answer
Correct Option: A
Explanation:

convert fraction into decimal first.

$\dfrac{1}{100}$ $=$ $0.01$
$0.01\times0.01$ $=$ $0.0001$
Hence, Option A is correct.

$025$ will form a square of $95$. Which digit should replace $$?

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $9$

  2. $8$

  3. $7$

  4. $6$

Show answer
Correct Option: A
Explanation:

Multiply ten's digit with its next number.
$9 \times (9 + 1) = 9 \times 10 = 90---(1)$
Find the square of unit's digit: 5
$5^2 = 25$ ----(2)
Combining (1) and (2), we get
$9025 = 95\times95$
So, $9$ is the missing number.

$(\cfrac{9 \times 12}{4\times 3})^2$ = ?

maths square and square root perfect square or square number squares and triangles powers and roots

  1. $80$

  2. $76$

  3. $91$

  4. $81$

Show answer
Correct Option: D
Explanation:

$(\cfrac{9 \times 12}{4\times 3})^2 = (\cfrac{81 \times 144}{16\times 9})$ 
On simplifying, we get
$(\cfrac{9 \times 12}{4\times 3})^2 = 81$