Question 1 :
For construction of a $\triangle PQR$, when&#160;$\displaystyle QR=6\ cm, PR=10\ cm$ and $\angle Q=90^{\circ}$, its steps for construction is given below in jumbled form. Identify the fifth step from the following.<br/><br/>1. At point $ Q $, draw an angle of $ {90}^{\circ} $.<br/>2. From $ R $ cut an arc of length $ PR = 10.0 \ cm $ using a compass.<br/>3. Name the point of intersection of the arm of the angle $ {90}^{\circ} $ and the arc drawn in step 3, as $ P $.<br/>4. Join $P $ to $ Q $&#160;. $ PQR $ is the required triangle.&#160;<br/>5. Draw the base side $ QR = 6\ &#160;cm $.

Question 2 :
Construct a triangle $ABC$ in which $AB = 5 cm$ and $BC = 4.6 cm$ and $AC =3.7 cm$<br>Steps for the construction is given in jumbled form.Choose the appropriate sequence for the above<br>1) With radius as $5\ cm$ from $C$, cut an arc.<br>2)They arcs will intersect at point $A$. Join $AB$ and $AC$. $ABC$ is the required triangle.<br>3)Draw a line segment $BC = 4\ cm.$<br>4)With radius as $3$ cm from $B$, cut the arc.

Question 3 :
The sides $A B , B C , C A$ of a triangle $A B C$ have $3,4$ and $5$ interior points respectively on them. Thenumber of triangles that can be constructed using these points as vertices is

Question 4 :
Devendra, a computer accessories vendor gave a discount of $20$% on a pen-drive and his profit reduced from Rs. $200$ to Rs. $100$. What is Devendra's cost price?

Question 5 :
Write True (T) or False (F) against each of the following statement<br/>$16:24= 20:30$

Question 6 :
Which is the largest number in the following sequence?$\dfrac 45 ,\dfrac 34, \dfrac 67, \dfrac 56$

Question 7 :
Swara deposited Rs. 20,000 in a bank for 5 years at the rate 7 p.c.p.c. How much interest will she get?

Question 8 :
If the number of books bought at prices ranging fromRs. 200 to Rs. 350, are sold at prices ranging fromRs. 300 to Rs.425, what can be the greatest possibleprofit?

Question 9 :
Find the amount after 3 years if Sumeet lent out $Rs.10000$ at $5$% pa for 3 years

Question 10 :
$A$'s income is $25\%$ more than that of $B$. $B$'s income is $8\%$ more than that of $C$. If $A$'s income is Rs.$20250$, find the income of $C$.<br/>