Scholastic Aptitude Test - Mathematics - Quadrilaterals

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Question - 1

The length of the diagonal BD of the parallelogram ABCD is 18 cm. If P and Q are the Centroid of the \(\Delta \)ABC and \(\Delta \)ADC repectively then the length of the line segment PQ is

  • A 4 cm
  • B 6cm
  • C 9 cm
  • D 12 cm

Question - 2

ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If=72\(\circ\) then the measure of the is

  • A 162\(\circ\)
  • B 18\(\circ\)
  • C 108\(\circ\)
  • D 72\(\circ\)

Question - 3

In a quadrilateral ABCD, with unequal sides, if the diagonals AC and BD intersect at right angles then

  • A AB2+BC2=CD2+DA2
  • B AB2+CD2=BC2+DA2
  • C AB2+AD2=BC2+CD2
  • D AB2+BC2=2(CD2+DA2)

Question - 4

Measure of each interior angle of a regular polygon can never be

  • A 105o
  • B 150o
  • C 108o
  • D 110o

Question - 5

A parallelogram ABCD has sides AB=24 cm; AD= 16cm. The distance between the sides AB and DC is 10cm. Find the distance between the sides AD and BC.

  • A 16 cm
  • B 18 cm
  • C 15 cm
  • D 26 cm

Question - 6

A square is of area 200 sq.m. Anew square is formed such a way that the length of its diagonal is \(\sqrt 2\) times of the diagonal of the given square. Then the area of the new square formed is

  • A 200\(\sqrt 2\) sq.m
  • B 400\(\sqrt 2\) sq.m
  • C 400 sq.m
  • D 800 sq.m

Question - 7

If a square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is

  • A equal to \(\frac1 4\)
  • B equal to \(\frac1 2\)
  • C equal to 1
  • D greater than 1

Question - 8

The area of the shaded region is

  • A 49\(\left( 1-\frac { \pi }{ 4 } \right) \)
  • B 49\(\left( \frac { \pi -1}{ 4 } \right) \)
  • C 49\((1-\pi)\)
  • D none of these

Question - 9

In the figure, ABCD and PQRS are rectangles, where Q is the mid-point of AC then

  • A DP=PC
  • B \(\frac1 3\)PR=\(\frac3 2\)DB
  • C DP=PQ
  • D DP=\(\frac1 2\)AC

Question - 10

A diagonal of a quadrilateral is a line segment that joins two-----vertices of the quadrilateral

  • A equal
  • B unequal
  • C opposite
  • D none of these
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