a. [

^{20}C

_{2}*

^{30}C

_{2}]/

^{50}C

_{5}

b. [

^{29}C

_{2}*

^{20}C

_{2}]/

^{50}C

_{5}

c. [

^{19}C

_{2}*

^{31}C

_{2}]/

^{50}C

_{5}

d. None are correct

2. Number of divisors of the form 4n+2 (n≥0) of the integer 240 is

a. 4

b. 8

c. 10

d. 3

3. If in a triangle ABC, Sin A, Sin B, and Sin C are in A.P., then

a. the altitudes re in A.P.

b. the altitudes are in H.P.

c. the medians are in G.P.

d. the medians are in A.P.

4. If f(x) = (x²-1)/(x²+1), for every real number x, then the minimum value of f

a. does not exist because f is unbounded.

b. is not attained even though f is is bounded

c. is equal to 1

d. is equal to -1

5. Seven white balls and three black balls are randomly placed in a row. the probability that no two black balls are placed adjacently equals

a. 1/2

b. 7/15

c. 2/15

d. 1/3

Problems 2 to 5 JEE 1998

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