The radii of the bases of two cylinders are in the ratio of 2 : 3 and their heights are in the ratio of 5: 3. The ratio of their volumes is

• 7 : 6

• 10 : 9

• 4 : 9

• 20 : 27

The perimeter of a trapezium is 104 cm, the lengths of its non-parallel sides are 18 cm and 22 cm and its altitude is 16 cm. The area (in cm) of the trapezium is

• 1024

• 640

• 512

• 320

If each edge of a solid cube is increased by 150%, the percentage increase in the surface area is

• 525

• 225

• 625

• 150

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

• 1521

• 1042

• 1612

• 945

What should be subtracted from $\frac{ - 5}{7}$ to get  $\frac{ - 2}{3}$ ?

• $\frac{29}{21}$

• $\frac{- 1}{21}$

• $\frac{ - 29}{21}$

• $\frac{1}{21}$

$\mathrm{The} \mathrm{value} \mathrm{of} \sqrt[3]{ - 91125} - \sqrt[3]{512} = ?$

•  - 53

• 42

• 73

• - 37

17.

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

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

• $∆\mathrm{DEF} \cong ∆\mathrm{RPQ}$

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

• $∆\mathrm{DEF} \cong ∆\mathrm{QRP}$

• $∆\mathrm{DEF} \cong ∆\mathrm{PQR}$

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

• 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