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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

SAMPLE QUESTIONS

Q1. Random-222 has a half-life of 3.8 days. If one starts with 0.064 kg of Random-222, the quantity of Randon-222 left after 19 days will be

(A) 0.002 kg
(B) 0.062 kg
(C) 0.032 kg
(D) 0.024 kg

Q2. In the given circuit, the binary inputs at A and B are both 1 in one case and both 0 in the next case. The respective outputs at Y in these two cases will be:

(A) 1,1
(B) 0,0
(C) 0,1
(D) 1,0

Q3. When a semiconducting device is connected in series wth a batter and a resistance, a current is found to flow in the circuit. If however, the polarity of the battery is reversed, practically no current flows in the circuit. The device may be

(A) a p-type semiconductor
(B) a n-type semiconductor
(C) an intrinsic semiconductor
(D) a p-n junction

Q4. A liquid of bulk modulus k is compressed by applying an external pressure such that its density increases by 0.01%. The pressure applied on the liquid is

(A) k/10000
(B) k/1000
(C) 1000 k
(D) 0.01 k

Q5. Temperature of an ideal gas, initially at 27 C, is raised by 6 C. The rms velocity of the gas molecules will,

(A) increase by nearly 2%
(B) decrease by nearly 2%
(C) increase by nearly 1%
(D) decrease by nearly 1%