If one angle of a triangle is 130°, then the angle between the bisectors of the other two angles is

• 65°

• 115°

• 130°

• 155°

Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, then its volume (in cm³) is

• 48$\mathrm{\pi }$

• $384\mathrm{\pi }$

• 546$\mathrm{\pi }$

• 768$\mathrm{\pi }$

For what value of k, the points A(3, 4), B (5, k) and C (- 3, 1) are collinear ?

• 2

• 3

• 4

• 5

A polyhedron has 6 faces and 8 vertices. How many edges does it have ?

• 14

• 15

• 10

• 12

45.

If

$$\begin{gathered} 1957 \\ - \mathrm{\alpha }9 \\ \mathrm{\_\_\_\_\_\_} \\ 18\mathrm{b}8 \end{gathered}$$

the sum of the digits a and b is

• 13

• 12

• 15

• 14

X runs twice as fast as Y and Y runs thrice as fast as Z. The distance covered by Zin 72 min, will be covered by X

• 24min

• 18min

• 16min

• 12min

"In a triangle, if two sides are equal, then the angles opposite to equal sides have equal measures." The inverse of this theorem will be

• In a triangle, if the angles opposite to two sides have equal measures, then the two sides are equal

• In a triangle, if two sides are not equal, then the angles opposite to these two sides do not have equal measures

• In a triangle, if its measures of angles opposite to two sides are not equal, then the two sides are not equal

• All of the above

$\mathrm{In} ∆\mathrm{DEF} \mathrm{and} ∆\mathrm{PQR}, \mathrm{if} \mathrm{PQ} = \mathrm{DE}, \mathrm{EF} = \mathrm{PR} \mathrm{and} \mathrm{FD} = \mathrm{QR}, \mathrm{then}$

• $∆\mathrm{DEF} \cong ∆\mathrm{RPQ}$

• $∆\mathrm{DEF} \cong ∆∆\mathrm{QPR}$

• $∆\mathrm{DEF} \cong ∆\mathrm{QRP}$

• $∆\mathrm{DEF} \cong ∆\mathrm{PQR}$

$$\begin{gathered} \mathrm{In} \mathrm{a} \mathrm{quadrilateral} \mathrm{ABCD}, \angle \mathrm{D} = 60° \mathrm{and} \angle \mathrm{C} = 100°. \mathrm{The} \mathrm{bisectors} \\ \mathrm{of} \angle \mathrm{A} \mathrm{and} \angle \mathrm{B} \mathrm{meet} \mathrm{at} \mathrm{the} \mathrm{point} \mathrm{P}. \mathrm{The} \mathrm{measure} \mathrm{of} \angle \mathrm{APB} \mathrm{is} \end{gathered}$$

• 80⁰

• 70⁰

• 100⁰

• 60⁰

The sum of all interior angles of a regular convex polygon is 1080°. The measure of each of its interior angles

• 108⁰

• 135⁰

• 72⁰

• 120⁰