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SAMPLE QUESTIONS

Q1. If p, q odd integers, then the roots of the equation 2px2 + (2p + q) x + q = 0 are

(A) rational
(B) irrational
(C) non–real
(D) equal

Q2. Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The numbers of such words that can be formed is

(A) 210
(B) 25200
(C) 2520
(D) 302400

Q3. The number of all numbers having 5 digits, with distinct digits is

(A) 99999

(B) 9 × 9P4

(C) 10P5

(D) 9P4

Q4. The probability that a non leap year selected at random will have 53 Sundays is

(A) 0
(B) 1/7
(C) 2/7
(D) 3/7

Q5. Three lines are drawn from the origin O with direction cosines proportional to (1, -1, 1), (2, -3, 0) and (1, 0, 3). The three lines are

(A) not coplanar
(B) coplanar
(C) perpendicular
(D) coincident