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Question Detail
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
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. 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
3. Which is smallest
- 13/16
- 15/19
- 17/21
- 7/8
Answer: Option B
4. Evaluate 35 / .07
- 400
- 500
- 505
- None of above
Answer: Option B
Explanation:
35/.07 = 3500/7 = 500
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}
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