$$\begin{gathered} \mathrm{The} \mathrm{diagonals} \mathrm{AC} \mathrm{and} \mathrm{BD} \mathrm{of} \mathrm{a} \mathrm{parallelogram} \mathrm{ABCD} \mathrm{interest} \mathrm{each} \mathrm{other} \mathrm{at} \mathrm{the} \mathrm{point} \mathrm{O}. \\ \mathrm{If} \angle \mathrm{DAC} =32°, \angle \mathrm{AOB} = 70°, \mathrm{then} \angle \mathrm{DBC} \mathrm{is} \mathrm{equal} \mathrm{to} \end{gathered}$$

• $24°$

• 86⁰

• 38⁰

• 32⁰

The distance of the point ( - 7, - 2) from Y-axis is

• 9 unit

• $\sqrt{51} \mathrm{unit}$

• 7 unit

• 2 unit

In a pair of adjacent angles (i) Vertex is always common, (ii) one arm is always common and (iii) uncommon arms are always opposite rays. Then

• (ii) is false

• (iii) is false

• All (i), (ii) and (iii) are true

• (i) is false, but (ii) and (iii) are true

If area of an eq lateral triangle is 'a' having height 'b', then $\frac{{\mathrm{b}}^2}{\mathrm{a}}$ is

• $\frac{1}{3}$

• $\frac{1}{\sqrt{3}}$

• 3

• $\sqrt{3}$

The angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8. The sum of the supplement of the largest angle and the complement of the smallest angle is

• 50⁰

• 80⁰

• 60⁰

• 70⁰

If one angle ofa triangle is 110°, then the angle between the bisectors of the other two angles measures

• 90⁰

• 145⁰

• 100⁰

• 110⁰

How many sides does a regular polygon have if its each angle is of measure 108⁰ ?

• 6

• 7

• 8

• 5

$$\begin{gathered} \mathrm{In} \mathrm{the} \mathrm{given} \mathrm{figure}, \overline{\mathrm{AOB}} \mathrm{is} \mathrm{a} \mathrm{simple} \mathrm{line} \mathrm{and} \overline{\mathrm{OC}} \mathrm{is} \mathrm{incident} \mathrm{on} \mathrm{this}. \\ \mathrm{If} \mathrm{a} : \mathrm{b} = 2 : 1, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \mathrm{a} \mathrm{is} \end{gathered}$$

• 80⁰

• 100⁰

• 120⁰

• 140⁰

The students (in Lakh) who appeared and ratio of pass and fail in different cities are given in the following table. Read carefully and answer following question

City	Applicants (in lakh)	Ratio of Pass and Fail
A	1.25	7 : 3
B	3.14	5 : 3
C	1.08	4 : 5
D	2.27	1 : 3
E	1.85	3 : 2
F	2.73	7 : 5

How many applicants pass in City E ?

• 13000

• 1110000

• 113000

• 111000

$\mathrm{In} \mathrm{the} \mathrm{given} \mathrm{figure}, \mathrm{O} \mathrm{is} \mathrm{the} \mathrm{centre} \mathrm{and} \angle \mathrm{ACB} = 40°, \mathrm{then} \angle \mathrm{ACB} \mathrm{is} \mathrm{equal} \mathrm{to}$

• 30⁰

• 40⁰

• 60⁰

• 80⁰