Q1. 
The sequences $x_1,x_2.....$ and $y_1,y_2.....$are in arithmetic progressions such that $x_1+y_1=100$ and $x_{22}x_{21}=y_{99}y_{100}$ . Find the sum of the first 100 terms of the progression, $(x_1+y_1),(x_2+y_2).....$ 
A.  0 

B.  9900 

C.  10,000 

D.  11,000 
Common Information
$P$ divides his property among his four sons $A, B, C$ and $D$ after donating Rs 20,000 and $10\%$ of his remaining property. The amounts received by the last three sons are in $A.P.$ and the amount received by the fourth son is equal to the total amount donated.
The first son receives as his share Rs 20,000 more than the share of the second son. The last son received Rs 1 lakh less than the eldest son.
Q2. 
Common Information Question: 1/2 What is the total donation made by $P$? 
A.  Rs 55,000 

B.  Rs 65,000 

C.  Rs 75,000 

D.  Rs 80,000 
Q4. 
In an $A.P$, the $12^{th}$ term is 7 times the $2^{nd}$ term and the $8^{th}$ term is 3 more than 10 times the first term. What is the $5^{th}$ term of the $G.P$ whose first term is the first term of $A.P$ and whose common ratio is equal to the common difference of the $A.P$. 
A.  162 

B.  144 

C.  156 

D.  136 
Q5. 
The total age of some 7 years old and some 5 years old children is 60 years. If I have to select a team from these children such that their total age is 48 years, In how many ways can it be done? 
A.  3 

B.  2 

C.  1 

D.  4 