Q21. 
The right angled triangle $PQR$ is to be constructed in the $xy$plane, so that the right angle is at $P$ and $PR$ is parallel to the $x$axis. The $x$ and $y$ coordinates of $P,Q$ and $R$ are to be integers that satisfy the inequality $−4≤x≤5$ and $6≤y≤16$. How many different triangles with these properties could be constructed? 
A.  1,100 

B.  12,100 

C.  10,000 

D.  9,900 
Q22. 
$A,B,C$ and $D$ each had some money. $D$ doubled the amounts with the others. $C$ then doubled the amounts with the others. $B$ then doubled the amounts with the others. $A$ then doubled the amounts with the others. At this stage, each of them has Rs 80. Find the initial amount with $C$ (in Rs). 
A.  75 

B.  80 

C.  95 

D.  85 
Q23. 
If 1 added to the age of the elder sister, then the ratio of the ages of two sisters becomes $0.5 : 1$, but if 2 is subtracted from the age of the younger one, the ratio becomes $1:3$, the age of the younger sister will be? 
A.  7 year 

B.  5 year 

C.  8 year 

D.  10 year 
Q24. 
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and $m$ players score 5 points and the total number of points scored is 50, what is the least possible positive difference between $n$ and $m$? 
A.  5 

B.  3 

C.  2 

D.  1 
Q25. 
A man purchased 40 fruits; apples and oranges for Rs 17. Had he purchased as many as oranges as apples and as many apples as oranges, he would have paid Rs 15. Find the cost of one pair of an apple and an orange. 
A.  70 paise 

B.  60 paise 

C.  80 paise 

D.  1 rupee 