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}

1. What decimal of an hour is a second

.0028
.0027
.0026
.0025

Answer: Option B

Explanation:

1/(60*60) = 1/3600 = .0027

2. Which is smallest

13/16
15/19
17/21
7/8

Answer: Option B

3. 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

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

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. Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}

113
1.13
11.3
113

Answer: Option C

Explanation:

\begin{aligned}
a^3 + b^3 = (a+b)(a^2 + b^2 - ab)
\end{aligned}

\begin{aligned}
= \frac{10.3^3 + 1^3}
{10.3^2 + 1^2 - 10.3 \times 1}
\end{aligned}

\begin{aligned}
= (a+b) = (10.3+1) = 11.3
\end{aligned}

Question Detail

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

1. What decimal of an hour is a second

2. Which is smallest

3. Arrange the fractions in ascending order

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

5. Evaluate \begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1} \end{aligned}

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

5. Evaluate
\begin{aligned} \frac{10.3 \times 10.3 \times 10.3 + 1}{10.3 \times 10.3 - 10.3 + 1}
\end{aligned}