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217.

If 0<p<1,then roots of the equation (1−p)x² +4x+p=0 are
(A) Both 0
(B) Imaginary
(C) Real and both positive
(D) Real and of opposite sign
(E) Real and both negative

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218.

For each p>1,sequence A_n is defined by A_o =1 and A_n =p_n + (−1)ⁿ A_n-1 for n≥1.
For how many integer values of p, 1000 is a term of the sequence?
(A) 8
(B) 7
(C) 5
(D) 4
(E) None of the above

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219.

[1]	The value of F is (A) 14 (B) 16 (C) 20 (D) 24 (E) 28

[2]	Which of the following must be true? (A) D is the lowest integer and D = 14 (B) C is the greatest integer and C = 23 (C) B is the lowest integer and B = 12 (D) F is the greatest integer and F = 24 (E) A is the lowest integer and A = 13

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220.

Let X = {a, b, c} and Y = {l, m}. Consider the following four subsets of X × Y.
F1 = {(a, l), (a, m), (b, l), (c, m)}
F2 = {(a, l), (b, l), (c, l)}
F3 = {(a, l), (b, m), (c, m)}
F4 = {(a, l), (b, m)}
Which one, amongst the choices given below, is a representation of functions from X to Y?
(A) F1, F2 and F3
(B) F2, F3 and F4
(C) F2 and F3
(D) F3 and F4
(E) None of the above

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221.

In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is
(A) 88
(B) 96
(C) 102
(D) 112
(E) None of the above

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222.

If F(x, n) be the number of ways of distributing “x” toys to “n” children so that each child receives at the most 2 toys then F(4, 3) = _______?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

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