Sample question paper

Chemistry

Question 1:
The density (in g mL-1) of a 3.60 M sulphuric acid solution that is 29% H2 SO4 (Molar mass =98g mol-1) by mass will be

  • A) 1.40
  • B) 1.50
  • C) 1.88
  • D) 1.22
Question 2:
In the cell reaction Cu (s) +2 Ag+ (aq)→ cu2++ (aq)+2 Ag (s),E0cell = 0.46 V. By doubling the concentration of Cu2+, E0cell is
  • A) doubled
  • B) Does not changed
  • C) increased but less than double
  • D) decreased by a small fraction
Question 3:
Before introducing FeO in blast furnace, it is converted to Fe2 O3 by roasting so that
  • A) it may not be removed as slag with silica
  • B) it may not evaporate in the furnace
  • C) Presence of it may increase the m.p of charge
  • D) It may not form iron carbide with coke.
Question 4:
Which of the following statements is incorrect?
  • A) Cr2+ is strongly reducing while Mn3+ is strongly oxidizing.
  • B) Co2+ is stable in aqueous solution but in the presence of complexing reagents it is easily oxidised.
  • C) [Cu(CN)4 ]2- is more stable than [Cu(NH3)4 ]2+
  • D) [Ti F6]2- is highly unstable while [Ti Cl6]2- is stable.Question
Question 5.
Reaction of cyclohexanone with dimethylamine in the presence of catalytic amount of an acid forms a compound if water during the reaction is continuously removed. The compound formed is generally known as
  • A) an enamine
  • B) a Schiff’s base
  • C) an amine
  • D) an imine


Physics

Question 1
An electron moving towards the east enters a magnetic field directed towards the north. The force on the electron will be directed.

  • A) vertically upward
  • B) vertically downward
  • C) towards the west
  • D) towards the south.
Question 2.
In a LCR series circuit, at resonant frequency
  • A) the impedance and the current are maximum
  • B) the impedance is maximum
  • C) the current and voltage are out of phase
  • D) the current is maximum
Question 3:
The saturation current I of a photocell varies with distance from the source (d) is
  • A) I ∞ d
  • B) I ∞ d2
  • C) I ∞ I/d
  • D) I ∞ I/d2
Question 4:
A radioactive element X with half life 2 hrs decays giving a stable element Y. After a time t,ratio of X to Y atoms is 1:16 time t is
  • A) 6 hrs
  • B) 4 hrs
  • C) 8 hrs
  • D) 16 hrs
Question 5:
If no external voltage is applied across p-n junction, there would be
  • A) no electric field pointing across the junction .
  • B) an electric field pointing from n- type to p- type side across the junction.
  • C) an electric field pointing from p- type to n- type side across the junction.
  • D) a temporary electric field during formation of p-n junction that would subsequently disappear.


Mathematics

Question 1:
The sum of three consecutive terms in a geometric progression is 14. If 1 is added to the first and the second terms and 1 is subtracted from the third, the resulting new terms are in arithmetic progression. Then the lowest of the original term is

  • (A) 1
  • (B) 2
  • (C) 4
  • (D) 8
Question 2:
In the polynomial ( x – 1)( x – 2)( x – 3)...........( x – 100) the coefficient of x99 is
  • (A) 5050
  • (B) – 5050
  • (C) 100
  • (D) 99
Question 3:
India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points, is:
  • (A) 0.8750
  • (B) 0.0875
  • (C) 0.0625
  • (D) 0.0250
Question 4:
An unbiased coin is tossed. If the result is a head, a pair of unbiased dice is rolled and the number obtained by adding the numbers on the two faces is noted. If the result is a tail, a card from a well shuffled pack of eleven cards numbered 2, 3, 4,.......,12 is picked and the number on the card is noted. The probability that the noted number is either 7 or 8, is
  • (A) 0.24
  • (B) 0.244
  • (C) 0.024
  • (D) None of these
Question 5:
There exists a function f(x) satisfying f(0) = f(1), f’(0)= - 1 , f(x)>0 for all x ,and
  • (A) f’’(x)>0 for all x
  • (B) - 1 < f’’(x)<0 for all x
  • (C) - 2 < f’’(x)≤-1 for all x
  • (D) f’’(x) <-2 for all x


Biology

Question 1:
Maximum life span of dog is:

  • (A) 5 years
  • (B) 10 years
  • (C) 15 years
  • (D) 20 years
Question 2:
The most abundant element present in plants is:
  • (A) Manganese
  • (B) Iron
  • (C) Carbon
  • (D) Nitrogen
Question 3:
Hunger center in human is present in
  • (A) Medulla oblongata
  • (B) Hypothalamus
  • (C) Pons varolii
  • (D) Mitochondria
Question 4:
Energy flow and energy transformations of a living system follow:
  • (A) Law of limiting factor
  • (B) Law of thermodynamics
  • (C) Liebig’s law of minimum
  • (D) Biogenetic law
Question 5:
The statement correct about enzymes is:
  • (A) they are amino acids
  • (B) they are most active at a temperature of 00C
  • (C) they are all proteins
  • (D) they are most active at pH 6.9

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