#### Chemistry

**Question 1:**

The density (in g mL^{-1}) of a 3.60 M sulphuric acid solution that is 29%
H_{2} SO_{4} (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)→ cu

^{2+}+ (aq)+2 Ag (s),E

^{0}

_{cell}= 0.46 V. By doubling the concentration of Cu

^{2+}, E

^{0}

_{cell}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 Fe

_{2}O

_{3}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) Cr
^{2+}is strongly reducing while Mn^{3+}is strongly oxidizing. - B) Co
^{2+}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(NH_{3})_{4}]^{2+} - D) [Ti F
_{6}]^{2-}is highly unstable while [Ti Cl_{6}]^{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 ∞ d
^{2} - C) I ∞ I/d
- D) I ∞ I/d
^{2}

**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 x

^{99}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 0
^{0}C - (C) they are all proteins
- (D) they are most active at pH 6.9