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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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