Question Detail

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:

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

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

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

1. 792.02 + 101.32 - 206.76

676.58
687.58
686.58
586.58

Answer: Option C

2. Which is smallest

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

Answer: Option B

3. What will be the vulgar fraction of 0.75

Answer: Option B

Explanation:

0.75 = 75/100 = 3/4

4. Evaluate
$\begin{aligned} \frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5} \end{aligned}$

80
800
8000
80000

Answer: Option B

Explanation:

$\begin{aligned} \frac{3.6 \times 0.48 \times 2.50}{0.12 \times 0.09 \times 0.5} \end{aligned}$

$\begin{aligned} = \frac{36 \times 48 \times 250}{12 \times 9 \times 5} = 800 \end{aligned}$