If sum of three consecutive multiples of 7 is 777, then least multiple will be

• 252

• 259

• 272

• 266

$$\begin{gathered} \mathrm{Edges} \mathrm{of} \mathrm{a} \mathrm{cuboid} \mathrm{are} \mathrm{a}, \mathrm{b} \mathrm{and} \mathrm{c}, \mathrm{its} \mathrm{volume} \mathrm{is} \mathrm{V} \mathrm{cubic} \mathrm{units} \mathrm{and} \mathrm{its} \mathrm{total} \mathrm{surface} \\ \mathrm{is} \mathrm{S} \mathrm{sq} \mathrm{units}. \mathrm{Then}, \frac{1}{\mathrm{V}} = ? \end{gathered}$$

• $\frac{1}{2}\mathrm{S}\left(\mathrm{a} + \mathrm{b}\hspace{0.17em}+ \mathrm{c}\right)$

• $\frac{2}{\mathrm{S}}\left(\frac{1}{\mathrm{a}} + \frac{1}{\mathrm{b}} + \frac{{\displaystyle 1}}{\mathrm{c}}\right)$

• $\frac{2\mathrm{S}}{\mathrm{a} + \mathrm{b} +\hspace{0.17em}\mathrm{c}}$

• $2\mathrm{S}\left(\mathrm{a} + \mathrm{b} + \mathrm{c}\right)$

The difference between simple interest and compound interest on certain sum of money for 2 yr at 5% per annum is Rs. 51, then sum will be

• Rs. 21000

• Rs. 20550

• Rs. 21500

• Rs. 20400

$\mathrm{If} \sqrt[\mathrm{r}]{\frac{9^{\left(\mathrm{r} + {\displaystyle \frac{1}{4}}\right)}\sqrt{3 . 3^{ - \mathrm{r}}}}{3 . \sqrt{3^{ - \mathrm{r}}}}} = \mathrm{m}, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \mathrm{m} \mathrm{is}$

• 3

• 3²

• 3³

• $\sqrt[r]{3}$

lf half of a number is equal to 0.07 times of another number, then their ratio will be

• 50 : 7

• 5 : 7

• 7 : 50

• 1 : 14

A bag contains 4 black balls, 6 blue balls, 3 white balls and 5 red balls. One ball is drawn from the bag. Probability that the ball drawn is black or white

• $\frac{5}{18}$

• $\frac{7}{18}$

• $\frac{4}{15}$

• $\frac{4}{5}$

$\mathrm{If} \mathrm{a} + \mathrm{b} +\hspace{0.17em}\mathrm{c} = 0, \mathrm{then} \frac{{\mathrm{a}}^4 + {\mathrm{b}}^4 +\hspace{0.17em}{\mathrm{c}}^4}{{\mathrm{a}}^2{\mathrm{b}}^2 + {\mathrm{b}}^2{\mathrm{c}}^2 + {\mathrm{c}}^2{\mathrm{a}}^2} = ?$

• 4

• 2

• 1

• 16

'From General to Particular' principle applied in

• Deductive method

• Inductive method

• Synthesis method

• Analytical method

19.

If O is the centre of a circle in given figure, then relation between x and y is

• x - 2y = 0

• y - 2x = 0

• x + 2y = 180⁰

• x + 2y = 360⁰

$\mathrm{The} \mathrm{greatest} \mathrm{among} \mathrm{numbers} \sqrt[3]{9}, \sqrt[4]{11} \mathrm{and} \sqrt[6]{17} \mathrm{is}$

• $\sqrt[3]{9}$

• $\sqrt[4]{11}$

• $\sqrt[6]{17}$

• Cannot be determined