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question_answer1)
In the following figure, rays OA, OB, OC and OD are such that\[\angle \,\mathbf{AOB}\text{ }=\text{ }\mathbf{71}{}^\circ \], \[\angle \,\,\mathbf{BOC}\text{ }=\text{ }\mathbf{48}{}^\circ ,\text{ }\angle \text{ }\mathbf{COD}\text{ }=\text{ }\mathbf{X}{}^\circ \text{ }\mathbf{and}\text{ }\angle \text{ }\mathbf{DOA}\text{ }=\text{ }\mathbf{93}{}^\circ \]. What will be the value of \[x{}^\circ \].
A)
\[~136{}^\circ \] done
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B)
\[~144{}^\circ \] done
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C)
\[~148{}^\circ \] done
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D)
\[~138{}^\circ \] done
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E)
None of these done
clear
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question_answer2)
In the shown figure, POQ. Is a straight line.
Based on above information, choose the one which is correct?
A)
\[a\text{ }=38{}^\circ \] done
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B)
\[\angle \,ROQ=96{}^\circ \,\] done
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C)
\[\angle \,POR=84{}^\circ \] done
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D)
\[\angle \,ROP-\angle \,ROQ=\text{ }12{}^\circ \] done
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E)
None of these done
clear
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question_answer3)
In the given figure, it is given that \[\mathbf{OA}\left| \text{ } \right|\text{ }\mathbf{EC}\]and\[\mathbf{OB}\left| \text{ } \right|\mathbf{ED}\]. |
Based on above information, choose the one which is incorrect? |
|
A)
\[\angle 1=\text{ }\angle 5\] done
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B)
\[\angle 1=\text{ }\angle 3\] done
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C)
\[\angle 1+\angle 2=180{}^\circ \] done
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D)
\[\angle 2=\angle 5\] done
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E)
None of these done
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question_answer4)
In the given figure, it is given that\[\mathbf{PQ}\left| \text{ } \right|\mathbf{RS}\], \[\angle \mathbf{QPM}\text{ }=\text{ }\mathbf{112}{}^\circ \] and\[\angle \text{ }\mathbf{MRS}\text{ }=\mathbf{124}{}^\circ \]. Find the value of\[\angle \text{ }\mathbf{PMR}\].
A)
\[~112{}^\circ \] done
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B)
\[~124{}^\circ \] done
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C)
\[~120{}^\circ \] done
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D)
\[~128{}^\circ \] done
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E)
None of these done
clear
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question_answer5)
In the given figure PQRS is a quadrilateral such that \[\mathbf{PQ}\parallel \mathbf{RS}\]and\[\mathbf{SP}\parallel \mathbf{RQ}\]. If\[\angle \mathbf{QPS=88{}^\circ }\], then find the value of \[\angle \mathbf{SRQ}\]
A)
\[~92{}^\circ \] done
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B)
\[~80{}^\circ \] done
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C)
\[~68{}^\circ \] done
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D)
\[88{}^\circ \] done
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E)
None of these done
clear
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question_answer6)
In the given figure, \[\mathbf{p}\parallel \mathbf{q}\text{ }\mathbf{and}\text{ }\mathbf{r}\parallel \mathbf{s}\] and\[\angle \mathbf{sbp}=\mathbf{79}{}^\circ \]. Based on this information, which one among the following statements is correct?
A)
\[\angle 2=102{}^\circ \] done
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B)
\[\text{ }\angle 3=79{}^\circ \] done
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C)
\[\angle 4=100{}^\circ \] done
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D)
All the above done
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E)
None of these done
clear
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question_answer7)
In a \[\Delta \,\,\mathbf{PQR}\], if\[\mathbf{2}\angle \mathbf{P}=\mathbf{18}\,\text{ }\angle \mathbf{Q}=\mathbf{9}\,\,\,\angle \mathbf{R}\], then _________.
A)
\[\angle P+\angle Q=150{}^\circ \] done
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B)
\[\angle P-\angle Q-130{}^\circ \] done
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C)
\[\angle R-\angle Q=20{}^\circ \] done
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D)
All the above done
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E)
None of these done
clear
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question_answer8)
In the given figure, if \[\mathbf{MN}\parallel \text{ }\mathbf{QR}\] and \[\angle \mathbf{P=75{}^\circ }\], \[\angle \mathbf{Q = 60{}^\circ }\], _________
A)
\[~\angle \,PMN=75{}^\circ \] done
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B)
\[\angle \,NMQ=125{}^\circ \] done
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C)
\[\angle \,PRQ=55{}^\circ \] done
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D)
\[\angle \,MNR=135{}^\circ \] done
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E)
None of these done
clear
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question_answer9)
On producing a side of a triangle, the exterior angle so formed is \[128{}^\circ \]. If the interior opposite angles are in the ratio \[\mathbf{1}:\mathbf{3},\]then find the measure of the difference of greatest angle and the least angle of the triangle.
A)
\[35{}^\circ \] done
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B)
\[58{}^\circ \] done
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C)
\[23{}^\circ \] done
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D)
\[28{}^\circ \] done
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E)
None of these done
clear
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question_answer10)
If the sides of a triangle are produced in order, then the sum of exterior angles so formed will be _________.
A)
\[180{}^\circ \] done
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B)
\[270{}^\circ \] done
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C)
\[360{}^\circ \] done
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D)
\[150{}^\circ \] done
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E)
None of these done
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question_answer11)
Which among the following is not a Pythagorean triplets?
A)
(5, 12, 13) done
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B)
(7, 24, 25) done
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C)
(12, 35, 37) done
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D)
(13, 12, 17) done
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E)
None of these done
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question_answer12)
A 3.7 m long ladder is placed against a wall such that the foot of the ladder is 3.5m away from the wall. Find the height upto which the ladder reach the wall?
A)
1.6m done
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B)
1.8m done
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C)
1.2m done
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D)
3.2m done
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E)
None of these done
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question_answer13)
Two poles of height 18m and 39m stand upright on a plane ground. If the distance between their feet is 28m. Find the distance between their tops.
A)
35m done
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B)
37m done
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C)
31m done
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D)
39m done
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E)
None of these done
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question_answer14)
A man goes 40m due east and then x m due north. If the is at a distance of 41m from his position, then find the value of x.
A)
6m done
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B)
8m done
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C)
9m done
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D)
12m done
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E)
None of these done
clear
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question_answer15)
Which one among the following statements is incorrect?
A)
Two triangles are said to be congruent if pairs of corresponding sides and the corresponding angles are equal done
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B)
Areas of two congruent figures are equal and if two figures have same area, they will be congruent. done
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C)
The bisector of the vertical angle of an isosceles triangle bisects the base at right angles. done
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D)
Two rectangles are congruent if they have same dimensions. done
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E)
None of these done
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question_answer16)
Which one among the following is incorrect pair of the angle and its complement?
A)
\[67{}^\circ \text{ }\Leftrightarrow \text{ }23{}^\circ \] done
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B)
\[45{}^\circ \text{ }\Leftrightarrow \text{ }45{}^\circ \] done
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C)
\[34{}^\circ \text{ }\Leftrightarrow 46{}^\circ \] done
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D)
\[42{}^\circ \text{ }\Leftrightarrow \text{ }48{}^\circ \] done
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E)
None of these done
clear
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question_answer17)
Which among the following is the angle which is triple of its supplement?
A)
\[135{}^\circ \] done
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B)
\[120{}^\circ \] done
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C)
\[150{}^\circ \] done
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D)
\[110{}^\circ \] done
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E)
None of these done
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question_answer18)
Which one among the following statements is true?
A)
A triangle cannot have more than one right angle. done
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B)
A triangle cannot have more than one obtuse angle. done
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C)
A triangle cannot have all the angles less than or greater than \[60{}^\circ \]. done
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D)
All the above done
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E)
None of these done
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question_answer19)
One of the acute of a right triangle is\[\mathbf{75{}^\circ }\]. Find the other acute angle.
A)
\[25{}^\circ \] done
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B)
\[35{}^\circ \] done
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C)
\[45{}^\circ \] done
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D)
\[15{}^\circ \] done
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E)
None of these done
clear
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question_answer20)
Which one among the following cannot be the length of sides of a right triangle?
A)
15cm, 20cm, 25cm done
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B)
25cm, 65cm, 60cm done
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C)
16cm, 30cm, 24cm done
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D)
27cm, 45cm, 36cm done
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E)
None of these done
clear
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question_answer21)
In the shown figure, S and T are two points on equal sides PQ and PR of an isosceles triangle PQR such that PS = PT. If RS = 16cm then QT = ________.
A)
8cm done
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B)
12cm done
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C)
16cm done
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D)
20cm done
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E)
None of these done
clear
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question_answer22)
In a triangle the sides (in cm) are integers and the longest side is 3cm. Find the perimeter of the triangle considering that the triangle is not an equilateral triangle.
A)
6cm done
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B)
7cm done
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C)
8cm done
clear
D)
9cm done
clear
E)
None of these done
clear
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question_answer23)
Which one of the following angles cannot be an interior angle of any convex polygon?
A)
\[90{}^\circ \] done
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B)
\[178{}^\circ \] done
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C)
\[1{}^\circ \] done
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D)
\[182{}^\circ \] done
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E)
None of these done
clear
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question_answer24)
Find the number of sides of the regular polygon whose each interior angle is \[\mathbf{128}\frac{\mathbf{4}}{\mathbf{7}}\]___________?
A)
9 done
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B)
12 done
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C)
7 done
clear
D)
11 done
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E)
None of these done
clear
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question_answer25)
In the following figure, a hexagon is shown. Find the value of x.
A)
\[100{}^\circ \] done
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B)
\[89{}^\circ \] done
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C)
\[99{}^\circ \] done
clear
D)
\[81{}^\circ \] done
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E)
None of these done
clear
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question_answer26)
The angles (in order) of a quadrilateral are in the ratio\[\mathbf{3}:\mathbf{4}:\mathbf{5}:\mathbf{6}\]. The quadrilateral is a _________.
A)
parallelogram done
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B)
trapezium done
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C)
kite done
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D)
rhombus done
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E)
None of these done
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question_answer27)
In the given figure, PQR is an isosceles right triangle. Find the value of\[\mathbf{x}{}^\circ \].
A)
\[75{}^\circ \] done
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B)
\[125{}^\circ \] done
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C)
\[135{}^\circ \] done
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D)
\[145{}^\circ \] done
clear
E)
None of these done
clear
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question_answer28)
In a regular polygon of n sides (where n < 10). How many such polygons are possible if each of its interior angles is obtuse angle?
A)
4 done
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B)
5 done
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C)
7 done
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D)
6 done
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E)
None of these done
clear
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question_answer29)
In the figure shown, BC is produced to D. Find the value of\[\mathbf{x}\text{ }+\text{ }\mathbf{y}\].
A)
\[135{}^\circ \] done
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B)
\[140{}^\circ \] done
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C)
\[145{}^\circ \] done
clear
D)
\[130{}^\circ \] done
clear
E)
None of these done
clear
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question_answer30)
The measure of angle P and thrice its supplement differ by \[\mathbf{20{}^\circ ,}\] then\[\angle \,\mathbf{P}\] can be _________.
A)
\[100{}^\circ \] done
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B)
\[120{}^\circ \] done
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C)
\[140{}^\circ \] done
clear
D)
\[130{}^\circ \] done
clear
E)
None of these done
clear
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question_answer31)
Which one among the following cannot be the sides of a triangle?
A)
5cm, 7cm, 9cm done
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B)
6cm, 5cm, 2cm done
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C)
5cm, 8cm, 3cm done
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D)
7cm, 10cm, 4cm done
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E)
None of these done
clear
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question_answer32)
In the shown figure, \[\mathbf{AB}\text{ }\left| \text{ } \right|\text{ }\mathbf{CD}\] and\[\angle \text{ }\mathbf{BGF}\text{ }=\text{ }\mathbf{90}{}^\circ \]. If\[\angle \text{ }\mathbf{EBG}\text{ }=\text{ }\mathbf{73}{}^\circ \], then find the value of\[\left( \mathbf{x}\text{ }+\text{ }\mathbf{y} \right){}^\circ \].
A)
\[42{}^\circ \] done
clear
B)
\[34{}^\circ \] done
clear
C)
\[46{}^\circ \] done
clear
D)
\[36{}^\circ \] done
clear
E)
None of these done
clear
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question_answer33)
In the shown figure, three lines are intersecting at a point. If\[\mathbf{r=25{}^\circ }\,\,\mathbf{and}\,\,\mathbf{t{}^\circ =76{}^\circ }\], then find the value of P.
A)
\[79{}^\circ \] done
clear
B)
\[89{}^\circ \] done
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C)
\[76{}^\circ \] done
clear
D)
\[58{}^\circ \] done
clear
E)
None of these done
clear
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question_answer34)
In the shown figure,\[\angle \mathbf{ BAD= 2 }\angle \mathbf{ DAC}\]\[\angle \mathbf{B=}\,\angle \mathbf{C+48{}^\circ }\,\,\mathbf{and}\,\angle \,\mathbf{ADC=}\,\,\mathbf{132{}^\circ }\]. Find \[\angle \mathbf{BAC}\mathbf{.}\]
A)
\[99{}^\circ \] done
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B)
\[120{}^\circ \] done
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C)
\[108{}^\circ \] done
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D)
\[126{}^\circ \] done
clear
E)
None of these done
clear
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question_answer35)
In the shown figure, PQRS is a square of side 12cm, and\[\mathbf{OM}\text{ }\bot \text{ }\mathbf{SR}\]. Find the length of MQ.
A)
\[4\sqrt{5}\,cm\] done
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B)
\[6\sqrt{5}\,cm\] done
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C)
\[3\sqrt{2}\,cm\] done
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D)
\[6\sqrt{2}\,cm\] done
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E)
None of these done
clear
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question_answer36)
In\[\Delta \text{ }\mathbf{MNT}\text{ }\mathbf{and}\text{ }\Delta \text{ }\mathbf{PQR}\],\[\angle \text{ }\mathbf{N=}\text{ }\angle \text{ }\mathbf{Q = 90{}^\circ }\],\[\mathbf{MM}\,\,\mathbf{=}\,\,\mathbf{PQ}\,\,\mathbf{and}\,\,\mathbf{NT}\,\,\mathbf{=}\,\,\mathbf{QR}\] Which of the following property can be used to prove congruence of A MNT and A PQR?
A)
ASA done
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B)
SSS done
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C)
SAS done
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D)
RHS done
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E)
None of these done
clear
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question_answer37)
In the figure shown below. \[\mathbf{2}\text{ }\angle \,\mathbf{A}\text{ }\mathbf{=}\angle \,\mathbf{BOC}\] OB and OC are bisector of \[\angle \]B and \[\angle \] C respectively. Find \[\angle \]A.
A)
\[50{}^\circ \] done
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B)
\[75{}^\circ \] done
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C)
\[60{}^\circ \] done
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D)
\[45{}^\circ \] done
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E)
None of these done
clear
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question_answer38)
In the figure shown, if\[\angle \,\mathbf{RQS}\text{ }\mathbf{=}\text{ }\angle \,\mathbf{PQS}\], \[\angle \,\mathbf{P}\text{ }\mathbf{=}\angle \,\mathbf{R+}\text{ }\mathbf{32}{}^\circ \] and\[\angle \mathbf{QSP=}\text{ }\mathbf{88}{}^\circ \], then find\[\angle \text{ }\mathbf{PQR}\].
A)
\[36{}^\circ \] done
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B)
\[42{}^\circ \] done
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C)
\[48{}^\circ \] done
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D)
\[49{}^\circ \] done
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E)
None of these done
clear
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question_answer39)
How many diagonals are there in a 60 sided convex plane?
A)
1580 done
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B)
1710 done
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C)
1810 done
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D)
1680 done
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E)
None of these done
clear
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question_answer40)
If 10, 14 and m are sides of an acute angled triangle, then how many integer values of m are possible?
A)
5 done
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B)
6 done
clear
C)
7 done
clear
D)
8 done
clear
E)
None of these done
clear
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