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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. What least number must be subtracted from 427398 so that remaining number is divisible by 15

  • 3
  • 5
  • 7
  • 9

Answer: Option A

Explanation:

On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted

2. A number when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31

  • 5
  • 3
  • 4
  • 6

Answer: Option A

Explanation:

P ÷ 44 = 432

=> P = 432 * 44 = 19008

P / 31 = 19008 / 31 = 613, remainder = 5

3. 217 * 217 + 183 * 183

  • 70578
  • 82578
  • 80578
  • 80568

Answer: Option C

Explanation:

\begin{aligned}
\frac {1}{2}\times 2(a^2 + b^2) = \frac {1}{2} \times [(a + b)^2 + (a - b)^2]
\end{aligned}
\begin{aligned}
= \frac {1}{2} \times [(217 + 183)^2 + (217 - 183)^2] = 80578
\end{aligned}

4. Simplify 586645 * 9999

  • 5865863355
  • 5665863355
  • 4865863355
  • 4665863355

Answer: Option A

Explanation:

Although it is a simple question, but the trick is to save time in solving this.
Rather than multiplying it we can do as follows:
586645 * (10000 - 1) = 5866450000 - 586645 = 5865863355

5. For the integer n, if n*n*n is odd, then what is true

  • n is odd and n*n is even
  • n*n is odd
  • n is even
  • n*n is odd

Answer: Option A

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