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. All prime numbers are odd numbers

  • True
  • False

Answer: Option B

Explanation:

It is false, 2 is an even number

2. A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as remainder. The number is

  • 22030
  • 220030
  • 23030
  • 24030

Answer: Option B

Explanation:

(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030

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

  • 23
  • 18
  • 38
  • 28

Answer: Option D

4. How many terms are there in 2,4,8,16,....,1024

  • 7
  • 8
  • 9
  • 10

Answer: Option D

Explanation:

It is a GP. with r = 2, ie \begin{aligned} 2^1, 2^2, 2^3... \end{aligned}
If number of terms is n. Then,
\begin{aligned} 2 \times 2^{n-1} = 1024 \end{aligned} =>
\begin{aligned} 2^{n-1} = 512 \end{aligned}
or \begin{aligned} 2 \times 2^{n-1} = 2^9 \end{aligned}
so n-1 = 9 => n = 10

5. 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

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