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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}

Similar Questions :

1. 469157 * 9999

  • 1691100843
  • 4591100843
  • 4691100843
  • 3691100843

Answer: Option C

Explanation:

469157 * (10000 - 1)
= 4691570000 - 469157
= 4691100843

2. 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

3. 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

4. The greatest number by which the product of three consecutive multiples of 3 is always

  • 54
  • 81
  • 162
  • 243

Answer: Option C

Explanation:

3*6*9 = 162

5. 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}

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