In the figure, in $△$PQR and $△$TQR, PQ = TR and PR = TQ. Which of the following statements is true?

• $△$PQR$\cong$$△$RQT

• $△$PQR$\cong$$△$QTR

• $△$PQR$\cong$$△$TRQ

• $△$PQR$\cong$$△$TQR

If the radius of sphere is increased by 50%, then by how much per cent the surface area will increase?

• 100

• 125

• 150

• 200

A rectangle ABCD is divided into two equal parts horizontally. Upper part is divided into again three equal parts and lower part is divided into five equal parts. Find out the shaded part of rectangle ABCD.

• $\frac{5}{8}$

• $\frac{19}{15}$

• $\frac{19}{30}$

• $\frac{3}{8}$

A circle and a square have the equal perimeter, then

• the area of circle is greater.

• the area of square is greater

• Both have equal areas

• Cannot be compared

How many lines of symmetry does a circle have?

• 2

• 4

• infinite or Unlimited

• None of these

In the given figure find the value of x

• 30°

• 60°

• 120°

• 150°

27.

The number of vertices in a polyhedron which has 30 edges and 12 faces is

• 12

• 15

• 20

• 24

In $△$PQT, PQ = PT. The points R and S are on QT such that PR = PS. If $\angle$PTS = 62° and $\angle$RPS = 34°, then measure of $\angle$QPR is

• 11°

• 13°

• 15°

• 17°

If for $△$ABC and $△$DEF the correspondence CAB $\leftrightarrow$ EDF gives a congruence, then which of the following is not true?

• AC = DE

• AB = EF

• $\angle$A= $\angle$D

• $\angle$B = $\angle$F

A square and a circle have equal perimeters. The ratio of the area of the square to the area of the circle is

• 1:1

• 1:4

• $\mathrm{\pi }$:2

• $\mathrm{\pi }$:4