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Q 1. Match the following:
| Column I | Column II |
|---|---|
(A)  | (P) CP = AQ |
(B)  | (Q) PAQC is a parallelogram |
(C)  | (R) AD = BC |
(D)  | (S) PC {tex}\parallel{/tex} AQ |
{tex} ( \mathrm { A } ) - ( \mathrm { P } , \mathrm { Q } , \mathrm { R } , \mathrm { S } ) {/tex}
{tex} ( \mathrm { B } ) - ( \mathrm { P } , \mathrm { S } , \mathrm { R } ) {/tex}
{tex} ( \mathrm { C } ) - ( \mathrm { P } , \mathrm { Q } , \mathrm { R } , \mathrm { S } ) {/tex}
All of the above
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Q 2. Smallest angle of a triangle is equal to two third the smallest angle of a quadrilateral. The ratio of the angles of the quadrilateral is 3 : 4 : 5 : 6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and the largest angle of the quadrilateral ?
160{tex}^\circ{/tex}
180{tex}^\circ{/tex}
190{tex}^\circ{/tex}
170{tex}^\circ{/tex}
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Q 3. The given figure,ABCD is a trapezium in which {tex}\angle{/tex}A= (x + 25){tex}^\circ{/tex}, {tex}\angle{/tex}B = y{tex}^\circ{/tex}, {tex}\angle{/tex}C = 95{tex}^\circ{/tex} and {tex}\angle{/tex}D = (2x +5){tex}^\circ{/tex}. Then the values of x and y are : 
x = 50{tex}^\circ{/tex}, y = 85{tex}^\circ{/tex}
x = 45{tex}^\circ{/tex}, y = 85{tex}^\circ{/tex}
x = 40{tex}^\circ{/tex}, y = 90{tex}^\circ{/tex}
x = 92{tex}^\circ{/tex}, y = 60{tex}^\circ{/tex}
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Q 4. {tex} \mathrm { ABC } {/tex} is a triangle in which {tex} \mathrm { D } , \mathrm { E } {/tex} and {tex} \mathrm { F } {/tex} are the midpoints of {tex} \mathrm { AB } , \mathrm { BC } {/tex} and {tex} \mathrm { CA } {/tex} respectively. {tex} \mathrm {DE}{/tex}, {tex} \mathrm {EF}{/tex} and {tex} \mathrm { FD } {/tex} are joined. If {tex} \mathrm { AB } = 12 \mathrm { cm } , \mathrm { BC } = 13 \mathrm { cm } , {/tex} and {tex} \mathrm { AC } = 8 \mathrm { cm } . {/tex} Then the length of sides of triangle {tex} \mathrm {DEF}{/tex} are
{tex} \mathrm { DE } = 4 \mathrm { cm } , \mathrm { EF } = 6 \mathrm { cm } {/tex} and {tex} \mathrm { DF } = 6.5 \mathrm { cm } {/tex}
{tex} \mathrm { DE } = 6 \mathrm { cm } , \mathrm { DF } = 4 \mathrm { cm } , \mathrm { EF } = 6.5 \mathrm { cm } {/tex}
{tex} \mathrm { EF } = 4 \mathrm { cm } , \mathrm { DE } = 6.5 \mathrm { cm } , \mathrm { EF } = 6.5 \mathrm { cm } {/tex}
Cannot be determined
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Q 5. {tex} \mathrm { ABCD } {/tex} is a parallelogram. If {tex} \mathrm { P } {/tex} be a point on {tex} \mathrm { CD } {/tex} such that {tex} \mathrm { AP } = \mathrm { AD } {/tex}, then the measure of {tex} \angle \mathrm { PAB } + {/tex} {tex} \angle \mathrm { BCD } {/tex} is
{tex} 180 ^ { \circ } {/tex}
{tex} 225 ^ { \circ } {/tex}
{tex} 240 ^ { \circ } {/tex}
{tex} 135 ^ { \circ } {/tex}
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Q 6. If midpoints of a rectangle are joined, then
Assertion: The quadirilateral formed is necessarily a parallelogram.
Reason: Area of quadrilateral so formed is half the area of rectangle.
Both Assertion and Reason are true and Reason is the correct explanation of 'Assertion'
Both Assertion and Reason are true and Reason is not the correct explanation of 'Assertion'
Assertion is true but Reason is false
Assertion is false but Reason is true
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Q 7. If {tex} \mathrm { ABCD } {/tex} is a parallalogram, then {tex} \angle \mathrm { A } - \angle \mathrm { C } {/tex} is
{tex} 180 ^ { \circ } {/tex}
{tex} 0 ^ { \circ } {/tex}
{tex} 360 ^ { \circ } {/tex}
{tex} 90 ^ { \circ } {/tex}
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Q 8. In figure, if {tex} \mathrm { E } {/tex} and {tex} \mathrm { F } {/tex} are the midpoints of the sides of {tex} \mathrm { AB } {/tex} and {tex} \mathrm { CD } {/tex} of parallelogram {tex} \mathrm {ABCD}{/tex} respectively then which one of the following is/are true.
Line segment {tex} \mathrm {CE}{/tex} and {tex} \mathrm {AF}{/tex} trisects {tex} \mathrm {BD}{/tex}
{tex} \mathrm { AE } = \mathrm { CF } {/tex}
{tex} \Delta \mathrm { ADF } \cong \Delta \mathrm { CBE } {/tex}
All of the above
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Q 9. Which of the following statements is/ are true:
Diagonals of a rectangle are equal and bisect each other at {tex} 90 ^ { \circ } {/tex}
Diagonals of a square are equal and bisect each other at {tex} 90 ^ { \circ } {/tex}
Rhombus is a parallelogram with a pair of adjacent sides equal
Both (B) and (C)
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Q 10. Which of the following statements is/are true?
A rhombus has two pairs of equal angles.
Diagonals of a rectangle are equal and bisect each other
The diagonals of a square are of equal length
All of the above
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Q 11. In figure,{tex} \mathrm L{/tex}. {tex} \mathrm { M } {/tex} and {tex} \mathrm { N } {/tex} are the midpoints of {tex} \mathrm { AP } {/tex}, {tex} \mathrm {BP}{/tex} and {tex} \mathrm { CP } {/tex} respectively, then
{tex} \angle \mathrm { CAP } = \angle \mathrm { MNP } {/tex}
{tex} \angle \mathrm { ABP } = \angle \mathrm { NLP } {/tex}
{tex} \angle \mathrm { CAP } = \angle \mathrm { NMP } {/tex}
Both (A) and (B)
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Q 12. If in triangle {tex} \mathrm { XYZ } , \mathrm { XY } = \mathrm { XZ } {/tex} and {tex} \mathrm { M } , \mathrm { N } {/tex} are the midpoints of {tex} \mathrm { XY } , \mathrm { YZ } , {/tex} then which of the following is correct?
{tex} \mathrm { MN } = \frac { 1 } { 2 } \mathrm { YZ } {/tex}
{tex} \mathrm { MN } = \frac { 1 } { 2 } \mathrm { XZ } {/tex}
{tex} \mathrm { MN } = \mathrm { MX } = \mathrm { MY } {/tex}
Both (B) and (C)