Tag: square and square root

Quizzes (11) Questions (83)

Questions Related to square and square root

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

If a four-digit perfect square number is such that the number formed by the first two digits and the number formed by the last two digits are also perfect squares, identify the four digit number.

  1. $6416$
  2. $3616$
  3. $1681$
  4. $1664$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Four digit number $accd$

$ab$ is a perfect square
$cd$ is also a perfect square
Consider $6416$
$64$and$16$ are perfect square but $6416$ is not a perfect square.
Consider $3616$
$36$and$16$ are perfect square but $3616$ is not a perfect square.

Consider $1681$
$16$and$81$ are perfect square and $1681$ is a perfect square.

Consider $1664$
$16$and$64$ are perfect square but $1664$ is not a perfect square.
Hence, Option C is correct.


Multiple choice maths square and square root scientific notation use of exponents power of 10

Evaluate the product of $2.3\times 10^4$ and $3\times 10^3$.

  1. $6.9\times 10^4$
  2. $6.9\times 10^7$
  3. $6.9\times 10^8$
  4. $6.9\times 10^6$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$(2.3\times 10^4) \times (3 \times 10^3)$
$\Rightarrow (2.3 \times 3) \times(10^{3+4})$

$\therefore 6.9 \times 10^7$
Ans- Option $B$.

Multiple choice maths square and square root scientific notation use of exponents power of 10

Solve:

$\cfrac{2.3^{n+1} + 7.3^{n-1}}{3^{n+2}-2 \left ( \cfrac{1}{3} \right )^{1-n}} $

  1. $0$
  2. $1$
  3. $2$
  4. $3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

We have,

$\cfrac{2.3^{n+1} + 7.3^{n-1}}{3^{n+2}-2 \left ( \cfrac{1}{3} \right )^{1-n}}  $

$\Rightarrow \cfrac{6.3^n+ \dfrac{7}{3}.3^n}{9.3^n-\dfrac{2}{3}. 3^n}  $

$\Rightarrow \cfrac{18.3^n+ 7.3^n}{27.3^n-2. 3^n}  $

$\Rightarrow \cfrac{25.3^n}{25.3^n}  $

$\Rightarrow 1  $

Hence, this is the answer.

Multiple choice maths square and square root scientific notation use of exponents power of 10

The average distance between the Sun and a certain planet is approximately $\displaystyle 2.3\times { 10 }^{ 14 }$ inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately $\displaystyle 3.9\times { 10 }^{ 4 }$ inches )

  1. $\displaystyle 7.1\times { 10 }^{ 8 }$
  2. $\displaystyle 5.9\times { 10 }^{ 9 }$
  3. $\displaystyle 1.6\times { 10 }^{ 10 }$
  4. $\displaystyle 1.6\times { 10 }^{ 111 }$
  5. $\displaystyle 5.9\times { 10 }^{ 11 }$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The average distance in KM will be $\frac { 2.3\times { 10 }^{ 14 } }{ 3.9\times { 10 }^{ 4 } } =0.59\times { 10 }^{ 10 }=5.9\times { 10 }^{ 9 }\quad km$

So correct answer will be option B