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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. Arrange fractions in descending order

  • 9/11 > 8/9 > 3/5 > 4/7
  • 9/11 > 8/9 > 4/7 > 3/5
  • 8/9 > 9/11 > 3/5 > 4/7
  • 9/11 >3/5 > 8/9 > 4/7

Answer: Option C

Explanation:

9/11 = .818 , 8/9 = .88 , 3/5 = .6, 4/7 = .571

So order is 8/9 > 9/11 > 3/5 > 4/7

2. 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}

3. What will be the vulgar fraction of 0.75

  • 3/5
  • 3/4
  • 3/2
  • 3/7

Answer: Option B

Explanation:

0.75 = 75/100 = 3/4

4. Correct expression of \begin{aligned}
6.\overline{46}
\end{aligned} is

  • \begin{aligned} \frac{640}{99} \end{aligned}
  • \begin{aligned} \frac{640}{90} \end{aligned}
  • \begin{aligned} \frac{64000}{99} \end{aligned}
  • \begin{aligned} \frac{640}{9} \end{aligned}

Answer: Option A

Explanation:

\begin{aligned}
6.\overline{46} = 6 + 0.\overline{46}
= 6 + \frac{46}{99}
= 6\frac{46}{99} = \frac{640}{99}
\end{aligned}

5. Arrange the fractions in ascending order

  • 5/8 < 7/12 < 3/4< 13/16
  • 5/8 < 7/12 < 13/16 < 3/4
  • 5/8 < 3/4< 13/16 < 7/12
  • 7/12 < 5/8 < 3/4< 13/16

Answer: Option D

Explanation:

5/8 = .625, 7/12 = .5833, 3/4 = .75, 13/16 = .8125

So order will be
7/12 < 5/8 < 3/4< 13/16

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