Question
Read the Source Text given below and answer any four questions:

Chocolate is in the form of a quadrilateral with sides $6\ cm$ and $10\ cm, 5\ cm$ and $5\ cm($as shown in the figure$)$ is cut into two parts on one of its diagonal by a lady. Part$-I$ is given to her maid and part $II$ is equally divided among a driver and gardener.

$i.$ Length of $BD:$
$a. 9\ cm$
$b. 8\ cm$
$c. 7\ cm$
$d. 6\ cm$
Area of $\triangle\text{ABC}:$
$a. 24\ cm^2$
$b. 12\ cm^2$
$c. 42\ cm^2$
$d. 21\ cm^2$
The sum of all the angles of a quadrilateral is equal to:
$a. 180^\circ$
$b. 270^\circ$
$c. 360^\circ$
$d. 90^\circ$
A diagonal of a parallelogram divides it into two congruent:
$a.$ Square.
$b.$ Parallelogram.
$c.$ Triangles.
$d.$ Rectangle.
Each angle of the rectangle is:
$a.$ More than $90^\circ$
$b.$ Less than $90^\circ$
$c.$ Equal to $90^\circ$
$d.$ Equal to $45^\circ$

Answer

$(i)$ $(b)$ $8\ cm$
$(ii)$ $(a)$ $24\ cm^2$
$(iii)$ $(c)$ $360^\circ$
$(iv)$ $(c)$ Triangles.
$(v)$ $(c)$ Equal to $90^\circ$

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(b) a rational number
(c) an irrational number
(d) a natural number 
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(a) a natural number
(b) an integer
(c) a rational number
(d) an irrational number 
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Raghav bought this planter.
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Mr. Roy, a Mathematics teacher explained some key points of unit 1 of class IX to his students. Some are given here.
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(a) 0.14 $\quad$(b) $0.14 \overline{16}$ $\quad$(c) $0.1 \overline{416}$ $\quad$(d) 0.401400140001......
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Tally marks
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$|||$
$3$
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$||||\ ||||$
$10$
$100 - 120$
$||||\ ||||$
$9$
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$5$
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$1$
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Read the following text carefully and answer the questions that follow:
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Image

$i.$ Show that $\triangle APC$ and $\triangle BPC$ are congruent.
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$iii.$ What is the value of $\angle PBC$ ?
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Find the value of $\angle y$.
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$a. 7\ m$
$b. 14\ m$
$c. 11\ m$
$d. 22\ m$
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$a. 70\ m^2$
$b. 154\ m^2$
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$iv.$ What is the circu\ mference of the field?
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4 What is the direct distance fro\ m Ajay to Charan?
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