Question Detail

What will be the value of
\begin{aligned}
25.732^2 - 15.732^2
\end{aligned}

  • 214.64
  • 314.64
  • 414.64
  • 412.64

Answer: Option C

Explanation:

Can be easily solved with following formula
\begin{aligned}
a^2 - b^2 = (a - b)(a + b)
\end{aligned}

Similar Questions :

1. Value of
\begin{aligned}
0.5\overline{6}
\end{aligned}

  • \begin{aligned} \frac{51}{99} \end{aligned}
  • \begin{aligned} \frac{51}{90} \end{aligned}
  • \begin{aligned} \frac{51}{9} \end{aligned}
  • \begin{aligned} \frac{510}{99} \end{aligned}

Answer: Option B

Explanation:

\begin{aligned}
0.5\overline{6} = \frac {56 - 5}{90} = \frac {51}{90}
\end{aligned}

2. Evaluate 2.5 / .0005

  • 5000
  • 500
  • 50000
  • 50

Answer: Option A

Explanation:

2.5 * 10000 / 5 = 25000/5 = 5000

3. Evaluate
\begin{aligned}
3.\overline{14}
\end{aligned}

  • \begin{aligned} 3\frac{14}{99} \end{aligned}
  • \begin{aligned} \frac{14}{99} \end{aligned}
  • \begin{aligned} 3\frac{14}{90} \end{aligned}
  • \begin{aligned} 3\frac{1400}{99} \end{aligned}

Answer: Option A

Explanation:

when there is bar above a number, we can simplify it by dividing with 9's (equal to the number below bar, in this question 2 digits are below bar)

4. What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/6

  • 2/5
  • 3/5
  • 1/6
  • 1/7

Answer: Option C

Explanation:

2/3 = .66, 3/4 = .75, 4/5 = .8 and 5/6 = .833

So biggest is 5/6 and smallest is 2/3

Their difference is 5/6 - 2/3 = 1/6

5. What will be the value of
\begin{aligned}
25.732^2 - 15.732^2
\end{aligned}

  • 214.64
  • 314.64
  • 414.64
  • 412.64

Answer: Option C

Explanation:

Can be easily solved with following formula
\begin{aligned}
a^2 - b^2 = (a - b)(a + b)
\end{aligned}

Read more from - Decimal Fraction Questions Answers