1.

1f 800880 = 8 x 10^x + 8 x 10^y + 8 x 10^z where x, y and z are whole numbers, then the value of x + y + z is

• 6

• 5

• 11

• 8

Mode of the given data

29, 25, 38, 22, 38, 25, 38, 29 is

• 29

• 38

• 25

• 22

Four traffic lights give red signals after 30 sec, 45 sec, 60 sec and 120 sec respectively. If all the traffic lights began at the same time, then all of them will give red signal at the same time in

• 180s

• 120s

• 300s

• 360s

$\mathrm{If} {\mathrm{a}}^{\mathrm{x}} = \mathrm{b}, {\mathrm{b}}^{\mathrm{y}} = \mathrm{c} \mathrm{and} {\mathrm{c}}^{\mathrm{z}} = \mathrm{a}, \mathrm{then} \mathrm{the} \mathrm{non}-\mathrm{zero} \mathrm{value} \mathrm{of} \left(\mathrm{xyz}\right) \mathrm{is}$

• 1

• 2

• 3

• - 1

$$\begin{gathered} \mathrm{If} \frac{1}{\mathrm{x}} + \frac{1}{\mathrm{y}} = \mathrm{u} \mathrm{and} \mathrm{xy} = \frac{1}{\mathrm{v}}, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \\ \frac{1}{{\mathrm{x}}^2} + \frac{1}{{\mathrm{y}}^2} \mathrm{is} \end{gathered}$$

• $\frac{1}{{\mathrm{\mu }}^2} - \frac{2}{\mathrm{\nu }}$

• ${\mathrm{\mu }}^2 - \frac{2}{\mathrm{\nu }}$

• ${\mathrm{\mu }}^2 - 2\mathrm{\nu }$

• $\frac{1}{{\mathrm{\mu }}^2} - 2\mathrm{\nu }$

The least number which must be added to 893304 to obtain a perfect square is

• 1521

• 1042

• 1612

• 945

The values of y for which the 4-digit number 51y3 is divisible by 9 is

• 2 or 3

• 0 or 9

• 0 or 3

• 3 or 9

The value of $\frac{{\left(2^{\mathrm{a}}\right)}^{\mathrm{bc}}}{{\left(5^{\mathrm{b}}\right)}^{\mathrm{ac}}}$, where a = 2, b = 3 and c = 0, is

•  - 1

• $\frac{2}{5}$

• 1

• 0

The value of $4 + \frac{44}{10} + \frac{404}{100} + \frac{444}{1000} + \frac{4}{10000} \mathrm{is}$

• 12.8844

• 12.8804

• 12.8224

• 12.8944