**103**^{2} – 97^{2}/200 is equal to

^{2}– 97

^{2}/200 is equal to

(a) 3

(b) 4

(c) 5

(d) 6

**Answer : (d) 6**

**Hint:**

103^{2}-97^{2}/200 = (103+47)(103-97)/200 = 200×6/200 = 6

**Question 6. If x + y = 11 and xy = 24, then x**^{2} + y^{2} is equal to

^{2}+ y

^{2}is equal to

(a) 121

(b) 73

(c) 48

(d) 169

**Answer : (b) 73**

x + y = 11, xy = 24 (x+y)^{2} = 11^{2} => x^{2} + y^{2} + 2 × 24 = 121

x^{2} + y^{2} = 73

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