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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. Which is smallest prime number

  • 0
  • 2
  • 3
  • 7

Answer: Option B

2. There are four prime numbers written in ascending order. The product of first three is 385 and that of last three is 1001. The last number is:

  • 9
  • 13
  • 15
  • 12

Answer: Option B

Explanation:

\begin{aligned} \frac{abc}{bcd} = \frac{385}{1001} => \frac{a}{d} = \frac{5}{13} \end{aligned}So d = 13

3. 7589 - X = 3434

  • 4155
  • 2321
  • 3155
  • None of above

Answer: Option A

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

  • 23
  • 18
  • 38
  • 28

Answer: Option D

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

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