SSC Quantitative Aptitude Quadratic Equations Question Bank

done Quadrilateral and Polygon (II) Total Questions - 19

• question_answer1)
  In a trapezium ABCD, AB and DC are parallel sides and \[\angle ADC=90{}^\circ .\]If AB = 15 cm, CD = 40 cm and diagonal AC =41 cm, then the area of the trapezium ABCD is [SSC CGL Tier II, 2017]
  A)
  \[245\text{ }c{{m}^{2}}\] done clear
  B)
  \[240\text{ }c{{m}^{2}}\] done clear
  C)
  \[247.5\text{ }c{{m}^{2}}\] done clear
  D)
  \[250\text{ }c{{m}^{2}}\] done clear
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• question_answer2)
  ABCD is a cyclic quadrilateral of which AB is the diameter. Diagonals AC and BD intersect at E. If \[\angle DBC=35{}^\circ ,\] then \[\angle AED\]measures [SSC CGL Tier II, 2017]
  A)
  \[35{}^\circ \] done clear
  B)
  \[45{}^\circ \] done clear
  C)
  \[55{}^\circ \] done clear
  D)
  \[90{}^\circ \] done clear
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• question_answer3)
  PQRA is a rectangle, AP = 22 cm, PQ = 8 cm. \[\Delta ABC\] is a triangle, whose vertices lie on the sides of PQRA such that BQ = 2 cm and QC = 16 cm. Then, the length of the line joining the mid points of the sides AB and BC is [SSC CGL Tier II, 2017]
  A)
  \[4\sqrt{2\,}cm\] done clear
  B)
  \[5\,cm\] done clear
  C)
  \[6\,cm\] done clear
  D)
  \[10\,cm\] done clear
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• question_answer4)
  The interior angle of a regular polygon exceeds its exterior angle by \[108{}^\circ .\]The number of sides of the polygon is             [SSC CGL Tier II, 2015]
  A)
  12 done clear
  B)
  10 done clear
  C)
  16 done clear
  D)
  14 done clear
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• question_answer5)
  Inside a \[\square \,ABCD,\]\[\Delta BEC\]is an equilateral triangle. If CE and BD intersect at O, then \[\angle BOC\]is equal to
  A)
  \[60{}^\circ \] done clear
  B)
  \[75{}^\circ \] done clear
  C)
  \[90{}^\circ \] done clear
  D)
  \[120{}^\circ \] done clear
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• question_answer6)
  ABCD is a rectangle where the ratio of the lengths of AB and BC is 3 : 2. If P is the mid-point of AB, then the value of \[\sin \,\angle CPB\] is
  A)
  \[\frac{3}{5}\] done clear
  B)
  \[\frac{2}{5}\] done clear
  C)
  \[\frac{3}{4}\] done clear
  D)
  \[\frac{4}{5}\] done clear
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• question_answer7)
  All sides of a quadrilateral ABCD touch a circle. If AB = 6 cm, BC = 7.5 cm, CD = 3 cm, then DA is
  A)
  3.5 cm done clear
  B)
  4.5 cm done clear
  C)
  2.5 cm done clear
  D)
  1.5 cm done clear
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• question_answer8)
  If the sides of a quadrilateral ABCD touch a circle and AB = 6 cm, CD = 5 cm, BC = 7 cm, then the length of AD in cm is
  A)
  4 done clear
  B)
  6 done clear
  C)
  8 done clear
  D)
  9 done clear
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• question_answer9)
  Three angles of a quadrilateral are \[80{}^\circ ,\] \[95{}^\circ \] and \[112{}^\circ .\]Its fourth angle is
  A)
  \[78{}^\circ \] done clear
  B)
  \[73{}^\circ \] done clear
  C)
  \[85{}^\circ \] done clear
  D)
  \[100{}^\circ \] done clear
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• question_answer10)
  External angle of a regular polygon is \[72{}^\circ .\]Find the sum of all the internal angles of it.
  A)
  \[360{}^\circ \] done clear
  B)
  \[480{}^\circ \] done clear
  C)
  \[352{}^\circ \] done clear
  D)
  \[540{}^\circ \] done clear
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• question_answer11)
  If difference between exterior and interior angles of a polygon is \[60{}^\circ ,\]then find the number of sides in the polygon.
  A)
  4 done clear
  B)
  5 done clear
  C)
  6 done clear
  D)
  7 done clear
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• question_answer12)
  ABCD is a trapezium with AD and BC parallel sides. E is a point on BC. The ratio of the area of ABCD to that of AED is
  A)
  \[\frac{\overline{AD}}{\overline{BC}}\] done clear
  B)
  \[\frac{\overline{BE}}{\overline{EC}}\] done clear
  C)
  \[\frac{\overline{AD}+\overline{BE}}{\overline{AD}+\overline{CE}}\] done clear
  D)
  \[\frac{\overline{AD}+\overline{BC}}{\overline{AD}}\] done clear
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• question_answer13)
  An interior angle of a regular polygon is 5 times its exterior angle. Then, the number of sides of the polygon is
  A)
  14 done clear
  B)
  16 done clear
  C)
  12 done clear
  D)
  18 done clear
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• question_answer14)
  If ABCD be a cyclic quadrilateral in which \[\angle A=4x{}^\circ ,\]\[\angle B=7x{}^\circ ,\]\[\angle C=5y{}^\circ ,\]\[\angle D=y{}^\circ ,\]then x : y is
  A)
  3 : 4 done clear
  B)
  4 : 3 done clear
  C)
  5 : 4 done clear
  D)
  4 : 5 done clear
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• question_answer15)
  ABCD is a cyclic quadrilateral and AD is a diameter. If \[\angle DAC=55{}^\circ ,\]then the value of \[\angle ABC\]is
  A)
  \[55{}^\circ \] done clear
  B)
  \[35{}^\circ \] done clear
  C)
  \[145{}^\circ \] done clear
  D)
  \[125{}^\circ \] done clear
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• question_answer16)
  ABCD is a rectangle of which AC is a diagonal. The value of \[(\tan {{\,}^{2}}\angle CAD+1)\,si{{n}^{2}}\angle BAC\]is
  A)
  \[2\] done clear
  B)
  \[\frac{1}{4}\] done clear
  C)
  \[1\] done clear
  D)
  \[0\] done clear
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• question_answer17)
  The difference between the interior and exterior angles of a regular polygon is \[60{}^\circ .\]Then, how many sides are there in that polygon?
  A)
  5 done clear
  B)
  6 done clear
  C)
  7 done clear
  D)
  8 done clear
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• question_answer18)
  ABCD is an isosceles trapezium with AB = 10 cm and CD = 6 cm. If EF = 8 cm. What is the perimeter of ABCD?
  A)
  \[16+8\sqrt{15}\,cm\] done clear
  B)
  \[16+4\sqrt{17}\,cm\] done clear
  C)
  \[16+2\sqrt{11}\,cm\] done clear
  D)
  None of these done clear
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• question_answer19)
  In the figure shown, If ABCD is a square and \[\Delta AEB\] is quadrilateral. The measure of \[\angle DEC\]is
  A)
  \[15{}^\circ \] done clear
  B)
  \[20{}^\circ \] done clear
  C)
  \[30{}^\circ \] done clear
  D)
  \[45{}^\circ \] done clear
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