Question : The value of $\frac{(0.321)^3+(0.456)^3-(0.777)^3}{0.9 \times(0.107)(0.76)(0.777)}$ is:

Option 1: 60

Option 2: –6

Option 3: –3

Option 4: 30

Question : The value of $\frac{\frac{1}{3}+[4 \frac{3}{4}–(3 \frac{1}{6}–2 \frac{1}{3})]}{(\frac{1}{5} \text { of } \frac{1}{5} \div \frac{1}{5}) \div(\frac{1}{5} \div \frac{1}{5} \times \frac{1}{5})}$ lies between:

Option 1: 10.2 and 10.8

Option 2: 4.2 and 4.4

Option 3: 8.2 and 8.8

Option 4: 0.4 and 0.9

Question : The value of $\frac{\sin ^2 30^{\circ}+\cos ^2 60^{\circ}+\sec 45^{\circ} × \sin 45^{\circ}}{\sec 60^{\circ}+{\text{cosec}} 30^{\circ}}$ is:

Option 1: $\frac{1}{4}$

Option 2: $-\frac{3}{8}$

Option 3: $\frac{3}{8}$

Option 4: $-\frac{1}{4}$

Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:

Option 1: $2 \frac{3}{20}$

Option 2: $1\frac{2}{20}$

Option 3: $1 \frac{3}{20}$

Option 4: $1 \frac{7}{20}$

Question : The value of $\frac{4.669 \times 4.669–9 \times(0.777)^2}{(4.669)^2+(2.331)^2+14(0.667)(2.331)}$ is $(1-k)$, where $k = $?

Option 1: 0.666

Option 2: 0.647

Option 3: 0.467

Option 4: 0.768

Question : If '+' means ÷, '×' means '–', '÷ means '×', '–' means '+'. What will be the value of the expression 9 + 3 ÷  4 – 8 × 2 =?

Option 1: $6\frac{1}{4}$

Option 2: $6\frac{3}{4}$

Option 3: $-1\frac{3}{4}$

Option 4: 18