# Algebra

## If a = 1001, b = 1002, c = 1003, then the value of a2 + b2 + c2 - ab - bc - ca is

If a = 1001, b = 1002, c = 1003, then the value of a^{2 }+ b^{2 }+ c^{2 }- ab - bc - ca is

(a) 2

(b) 3

(c) 5

(d) None of these

## A company offered its 350 employees a bonus of Rs.10 to each male and Rs. 8.15 to each female.

A company offered its 350 employees a bonus of Rs.10 to each male and Rs. 8.15 to each female. All the females accepted, but a certain percentage of the males refused to accept. The total bonus paid was not dependent upon the number of men employed. What was the total amount paid to the women?

(A) 2445

(B) 1222.5

(C) 1262.5

(D) None of these

(E) Can't be determined

## There are two containers S and T filled with milk with different prices and with volumes 70 and 30 liters respectively.

There are two containers S and T filled with milk with different prices and with volumes 70 and 30 liters respectively. Equal quantities are drawn from both S and T in such a manner that the milk drawn from S is poured into T and the milk drawn from T is poured into S. After doing so, the price per liter becomes equal in both the containers. How much milk is drawn from each of S and T?

(A) 21

(B) 20

(C) 16