Navigate

Question Detail

Simplify (212 * 212 + 312 * 312 )

  • 132288
  • 142088
  • 142188
  • 142288

Answer: Option D

Explanation:

Trick: Above equation can be solved by using following formula
\begin{aligned}
(a^2 + b^2) = \frac{1}{2}((a+b)^2 + (a-b)^2)
\end{aligned}

Similar Questions :

1. \begin{aligned}
46^2 - (?)^2 = 4398 - 3066
\end{aligned}

  • 23
  • 18
  • 38
  • 28

Answer: Option D

2. 1307 * 1307 = ?

  • 1608249
  • 1508249
  • 1408249
  • 1708249

Answer: Option D

Explanation:

\begin{aligned}
(a + b)^{2} = (a^2 + b^2 + 2ab)
\end{aligned}
\begin{aligned}
1307^{2} = (1300 + 7)^2 = (1690000 + 49 + 18200)
\end{aligned}

3. All prime numbers are odd numbers

  • True
  • False

Answer: Option B

Explanation:

It is false, 2 is an even number

4. Which of the following is a prime number

  • 9
  • 2
  • 4
  • 8

Answer: Option B

Explanation:

A prime number is a natural number greater than 1 which has no positive divisors other than 1 or itself.
So from above options 2 is that number

5. What is the unit digit in
\begin{aligned}
(6324)^{1797} \times (615)^{316} \times (341)^{476}
\end{aligned}

  • 1
  • 5
  • 7
  • 0

Answer: Option D

Read more from - Numbers Questions Answers