FIITJEE COMMON TEST - || FIITJEE RANCHI ||

FIITJEE COMMON TEST

BBAATTCCHHEESS--CCFFYY--11992233 NN SS EE JJ SS

(PHASE –2) SET-C

Time: 2 Hours Maximum Marks: 240

A. Question Paper Format 1. The question paper consists of 4 parts (Physics -Section-I, Chemistry - Section-II, Biology - Section-III and

Mathematics- Section-IV) and each part consists of four sections.

2. Each Section contains 20 multiple choice questions. Each question has 4 choices (A), (B), (C) and (D) for its answer,

out of which only one is correct.

B. Marking scheme:

1. For each question in Section I, II, III & IV, you will be awarded 3 marks if you darken only the bubble

corresponding to the correct answer and zero mark if no bubbles are darkened. In all other cases, minus one (−1)

mark will be awarded.

Enrolment No. :

Name : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Batch : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Date:. . . . . . . . . . . . . . . . . . . .

Paper Code 820301.3

Four Year CRP (1923) A Lot_PT-2- 2

Ranchi (Lalpur) :7th Floor, Hari Om Towers, (Opp. Women’s College, Arts Block), Circular Road, Ranchi, Ph : 0651- 2563187/88/89/90.

Ranchi (SOP, Doranda): Samriddhi Complex, Ground Floor, Near St. Xavier’s School, South Office Para Doranda, Ranchi. Corp. off. : FIITJEE House 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi – 16. Ph : 46106000/10/13/15, Toll Free No. 1800114242.

Fax : 011-26513942, Web:www.fiitjee.com

SECTION – I (PHYSICS)

1. Two spheres of mass m & M are situated in air and gravitational force between them is F. The space

around the mass is now filled with a liquid of specific gravity 3. The gravitational force between them will

now be :

(A) F/9 (B) 3F (C) F/3 (D) F

2. If the earth stops rotating about its own axis, g remains unchanged at:

(A) equator (B) poles (C) latitude 45° (D) no where

3. Find the depth(D) at which the value of g will be equal to the value of g at height h = 16 km from the

surface of the earth.

(A) 16 km (B) 32 km (C) 64 km (D) 8 km

4. The contact force on the 1 kg block

3 4( 0.5) sin37 , cos37

5 5

= = =

(A) 4 5 N (B) 10 N

(C) 8 N (D) 5 5 N

1 kg

037

5. Find the value of 1

2

3?

T

T=

(A) 2 (B) 4

(C) 6 (D) 8

1T

2T

10 kg

10 kg

200N

6. A 15-N force is applied to a mass M that is adjacent to a wall, as shown.

If the mass is 2kg the force that the wall exerts on the mass is equal to

(A) 0N (B) 2N

(C) 15N (D) 19.6N

M

15N

Space for rough work





7. If the distances between the earth and the sun becomes four times, then time period becomes

(A) 4 times (B) 8 times (C) 2 times (D) 5 times

8. When a planet moves around the sun, its

(A) areal velocity is constant (B) linear velocity is constant

(C) angular velocity is constant (D) all the velocities are constant

9. A car move with acceleration 0a , find out angle made by string with vertical

a0

(A) tan = a0/g (B) cot = a0/g (C) sin = a0/g (D) cos = a0/g

10. The normal force acting on the block by the floor is (g = 10 m/s2)

(A) 50 N (B) 70 N

(C) 150 N (D) 96 N

60

20 3

10 kg

11. A string can withstand a tension of 25 N. What is the greatest speed at which of a body of mass 1 kg can

be whirled in a horizontal circle using a 1 m length of a string?

(A) 2.5 ms–1 (B) 5.0 ms–1 (C) 7.5 ms–1 (D) 10 ms–1

12. A flywheel is rotating at a constant speed 60 rpm. Its angular speed is

(A) rad s–1 (B) rad s–1 (C) rad s–1 (D) rad s–1

13. A ball is dropped vertically from a height h above the ground. It hits the ground and bounces up vertically

to a height h/2. Neglecting subsequent motion and air resistance, its velocity v varies with the height h as

(A) (B) (C) (D)






14. A block of mass m, lying on a rough horizontal force P and another force

Q inclined at an angle to the vertical. The block will remain in

equilibrium, if the coefficient of friction between the block and the surface

is

(A) P Qsin

mg Qcos

+

+ (B)

Pcos Q

mg Qsin

+

−

(C) P Qsin

mg Qsin

+

+ (D)

Psin Q

mg Qcos

−

−

P

Q

m

15. When the normal force is doubled the coefficient of friction is

(A) doubled (B) halved

(C) not changed (D) tripled rest

M

N

16. Two satellites A and B go round a planet P in circular orbits having radii 4R and R respectively. If the

speed of satellite A is 3v if the speed of B is nv then find n.

(A) 6 (B) 8 (C) 10 (D) 9

17. A body just dropped form a tower explodes into two pieces of equal mass such that one particle moves

along vertical line in mid-air. Which of the following is not possible?

(A) Initially both particles move in opposite directions

(B) One part will follow parabolic path

(C) Both parts move along a vertical line

(D) One part reaches the ground earlier than the other

18. A 60 Kg man pushes a 40 Kg man by a force of 60 N. The 40 Kg man has pushed the other man with a

force of

(A) 40 N (B) zero (C) 60 N (D) 20 N

19. The engine of a car produces an acceleration of 6 m/s2 in the car. If this car pulls a block of the same

mass, then the acceleration would be

(A) 6 m/s2 (B) 12 m/s2 (C) 3 m/s2 (D) 1.5 m/s2

20. If a constant force acts on a body initially kept at rest. The distance moved by the body in time t is

proportional to

(A) t (B) t2 (C) t3 (D) t4






SECTION – II (CHEMISTRY)

1. Which of the following is a homogeneous system ?

(A) Muddy water (B) Bread

(C) Concrete (D) A solution of sugar in water

2. The zig-zag movement of dispersed phase particle in a colloidal system is known as :-

(A) Transitional motion (B) Circular motion

(C) Linear motion (D) Brownian motion

3. An emulsion is a colloidal system of :-

(A) Solid dispersed in solid (B) Liquid dispersed in liquid

(C) Gas dispersed in liquid (D) Brownian motion

4. Scattering of light takes place in :-

(A) Electrolytic solutions (B) Colloidal solutions

(C) Electrodialysis (D) Electroplating

5. Which of the following forms a colloidal solution in water ?

(A) Salt (B) Glucose (C) Starch (D) Barium nitrate

6. Blood is __________ charged sol :-

(A) Negatively (B) Positively (C) Neutral (D) None of these

7. Drinking soda is an example of a solution of :-

(A) Gas in liquid (B) Liquid in gas (C) Gas in gas (D) Solid in liquid

8. Which of the following statements is correct ?

(A) Compounds can be separated into constituents by physical processes

(B) The boiling points and melting points of compounds are not fixed

(C) The composition of compounds is not fixed

(D) The properties of compounds are entirely different from those of its constituents

9. Milk of Magnesia is an example of :-

(A) Emulsion (B) True solution (C) Colloid (D) Suspension

10. Which of the following is an example of a mixture ?

(A) Sugar (B) Brass (C) CO2 (D) NO2






11. Blue colour of the sky is due to

(A) Scattering of light by dust particles (B) Absorption of light by dust particles

(C) Reflection of light by dust particles (D) The presence of clouds in upper atmosphere

12. Mixture of butane, ethane and propane is called :-

(A) Coal gas (B) Oil gas (C) Petroleum gas (D) Producer gas

13. When water particles condenses on air on dust, it forms :-

(A) mist (B) fog (C) frost (D) Vapour

14. The temperature at which Celsius and Fahrenheit scales show the same reading is :-

(A) 40° K (B) 100° F (C) – 40° C (D) – 100°C

15. A liquid and a solid together consisting a single phase is known as :-

(A) Solution (B) Solute (C) Solvent (D) Emulsion

16. Movement of colloidal particles under the influence of electrical field is called :-

(A) Electrophoresis (B) Dialysis (C) Ionisation (D) Electrodialysis

17. The correct increasing order of the boiling points of liquid oxygen, liquid argon and liquid nitrogen present

in liquid air as

(A) Nitrogen, Oxygen, Argon (B) Nitrogen, Argon, Oxygen

(C) Argon, Oxygen, Nitrogen (D) Oxygen, Argon, Nitrogen

18. In colloidal state, particle size ranges from :-

(A) 1 to 10 A° (B) 20 to 50 A° (C) 10 to 100 A° (D) 1 to 280 A°

19. Brownian movement is due to :-

(A) Temperature fluctuations within the liquid phase

(B) Attraction and repulsion between the charges on the colloidal particles

(C) Impact of molecules of the dispersion medium on the colloidal particles

(D) Convention currents

20. The Brownian motion is due to

(A) Temperature fluctuations within the liquid phase

(B) Attraction and repulsion between charges on colloidal particles

(C) Impact of the molecules of the dispersion medium on the colloidal particles

(D) None of these






SECTION – III (MATHEMATICS)

1. If x y z

(b c)(b c 2a) (c a)(c a 2b) (a b)(a b 2c)= =

− + − − + − − + −, the value of (x + y + z) is :-

(A) a + b + c (B) a2 + b2 + c2 (C) 0 (D) indeterminate

2. The distance between the points (4, 5) and (5, 6) is :

(A) 3 (B) 2 (C) 2 (D) 1

3. If A(3, 5), B(2, 4) and C(6, 10) are the vertices of a triangle, then the length of the median through vertex

A is :

(A) 3 (B) 2 (C) 5 (D) 6

4. If points (t, 2t), (–2, 6) and (3, 1) are collinear, then t =

(A) 3

4 (B)

4

3 (C)

5

3 (D)

3

5

5. 243log 3 is equal to

(A) 3 (B) 1

3 (C)

1

5 (D) 5

6. The lengths of the sides of a triangle are integral. If the perimeter of the triangle is 6 cm, then how many

such triangles are possible

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

7. The co-ordinates of one end point of a diameter of a circle are (4, -1) and coordinates of the centre of the

circle are (1,-3) then coordinates of the other end of the diameter are :

(A) (2,5) (B) (-2,-5) (C) (3,2) (D) (-3,-2)

8. Factors of polynomial x3 - 3x2 - 10x + 24 are :

(A) (x - 2)(x + 3)(x - 4) (B) (x + 2)(x + 3)(x + 4) (C) (x + 2)(x - 3)(x - 4) (D) (x - 2)(x - 3)(x - 4)






9. If (x + a) is a factor of x2 + px + q and x2 + mx + n then the value of a is :

(A) m p

n q

−

− (B)

n q

m p

−

− (C)

n q

m p

+

+ (D)

m p

n q

+

+

10. 5 2 5 2

5 2 5 2

− +− =

+ −

(A) 8 5 (B) 8 5− (C) 6 5 (D) 6 5−

11. If 1 1

a ,b3 2 2 3 2 2

= =− +

then value of a3 + b3 is :-

(A) 194 (B) 196 (C) 198 (D) 20

12. Solution set of the equation |x – 2| = 5 is :-

(A) {3, –7} (B) {–3, 7} (C) {3, 6} (D) None of these

13. The minimum value of the expression |17x – 8 | – 9 is :-

(A) 0 (B) – 9 (C) 8

17 (D) None of these

14. If 3

3

1x

x

−

= 14, the value of

1x

x

−

is :-

(A) 5 (B) 4 (C) 3 (D) 2

15. If x and y are non-zero rational unequal numbers, then ( ) ( )

2 2

2 2

x y x y

x y xy

+ − −

− is equal to :-

(A) 1

xy (B)

1

x y− (C)

4

x y− (D)

2

x y−






16. 3 2 3

log log log 81 is equal to

(A) 0 (B) 1

2 (C) 1 (D)

1

3

17. If D is any point on the side BC of a ABC, then :

(A) AB + BC + CA > 2AD (B) AB + BC + CA < 2AD

(C) AB + BC + CA > 3AD (D) None

18. For given figure, which one is correct :

(A) ABC DEF (B) ABC FED (C) ABC DFE (D) ABC EDF

19. In a right-angled triangle. One acute angle is double the other then the hypotenuse is :

(A) Equal to smallest side (B) Double the smallest side

(C) Triple the smallest side (D) None of these

20. ABCD is a square and P, Q, R are points on AB, BC and CD respectively such that AP = BQ = CR and

PQR = 90° , then QPR

(A) 45° (B) 50° (C) 60° (D) 90°


F D

E

A

B

C





SECTION – IV (BIOLOGY)

1. Pomfret is

(A) Brackish water fish (B) Marine fish (C) Fresh water fish (D) Cuttlefish

2. Highest milk yielding best breed of milch cattle in the world is

(A) Brown Jersey (B) Ongole (C) Holstein-Friesian (D) Hallikas

3. Spawning in fishes is induced by injecting the female with

(A) Progesterone (B) FSH and LH (C) Estrogen (D) All of these

4. Excess salt inhibits growth in pickles by

(A) Exosmosis (B) Oxidation (C) Denaturation (D) Endosmosis

5. Which one of the following is detrimental to soil fertility ?

(A) Saprophytic Bacteria (B) Nitrobacter (C) Nitrosomes (D) Pseudomonas

6. A renewable exhaustible natural resources is

(A) Coal (B) Forest (C) Minerals (D) Petroleum

7. Biofertilizers include

(A) A quick growing crop ploughed back (B) Cow dung manure and farmyard waste

(C) Rhizobium, BGA and Azolla (D) All the above

8. Match the following

Column – I Column – II

(a) Cell with membrane bound organelles (1) Mitochondria

(b) Cell division by binary fission (2) Eukaryotic cell

(c) Cristae (3) Endoplasmic reticulum

(d) Membrane biosysnthesis (4) Prokaryotic cell

(e) Red blood cells (5) Oxygen transportation

(A) a−4, b−3, c−2,d−1,e−5 (B) a−2, b−4, c−1,d−3, e−5

(C) a−3, b−2, c−1,d−4, e−5 (D) a−4, b−5, c−1,d−3, e−2






9. Water logged soil is

(A) Physically as well as (B) Physically dry

(C) Physically wet but physiologically dry (D) Physically as well as physiologically wet

10. Which one of the following mammalian cells is not capable of metabolising glucose to 2CO aerobically

(A) RBC (B) WBC (C) Liver cells (D) Unstriated muscle cells

11. A considerable increase in plant life in the lake was noticed after the farming activity intensified. The most

likely reason for this could be

(A) Chemical fertilizers leached into the lake from the field

(B) Pesticides leached into the lake from the field

(C) Organic manure leached into the lake from the field

(D) Smoke particles from the industry got settled in moist surroundings of the lake

12. Consider the following ecological pyramids

I. Pyramid of numbers.

II. Pyramid of biomass

III. Pyramid of energy

The one(s) which is/are always upright are

(A) I only (B) II and III only (C) III only (D) I and II only

13. What is/are the advantage(s) of using an electron microscope?

I. Very high resolution

II. Very high magnification

III. The possibility of examining living material

(A) I only (B) I and II only (C) II and III only (D) I, II and III

14. Biofertilizers include

(A) Cow dung manure and farmyard waste (B) A quick growing crop ploughed back

(C) BGA and Azolla (D) All the above






15. Which one of the following statements pertaining to pollutant is correct?

(A) Excess mercury in drinking water may cause black foot disease

(B) Excess cadmium in drinking water may cause black foot disease

(C) Arsenic in water may cause blue baby syndrome

(D) DDT is nonbiodegradable pollutant

16. The scientific process by which crop plants are enriched with certain desirable nutrients is called

(A) Crop-protection (B) Breeding (C) Biofortification (D) Bioremediation

17. Sonalika and Kalyan Sona are varieties of

(A) Wheat (B) Rice (C) Millet (D) Rye

18. What are the symptoms of foot and mouth disease?

(A) Excessive salivation (B) Blisters on feet and mouth

(C) Soreness of mouth (D) All the above

19. Keystone species of an ecosystem are those ones that are

(A) Present in maximum number (B) Most common species

(C) Attain large biomass (D) Contribute maximum to ecosystem

20. Which one of the following is not used for ex situ plant conservation?

(A) Field Gene Bank (B) Botanical Gardens (C) Shifting Cultivation (D) Seed Banks






FIITJEE PHASE TEST-2

for

Class – IX SET- C

QP CODE: 820301.3

NSEJS

ANSWER

PHYSICS CHEMISTRY MATHS BIOLOGY

1. D P090301 1. D C090203 1. C C090203 1. B B091409

2. B P090310 2. D C090102 2. B C090102 2. C B091409

3. B P090310 3. B C090204 3. C C090204 3. B B091409

4. A P090204 4. B C090204 4. B C090204 4. A B090111

5. B P090206 5. C C090204 5. C C090204 5. D B092003

6. C P090205 6. A C090204 6. B C090204 6. B B091309

7. B P090311 7. A C090204 7. B C090204 7. C B091404

8. A P090307 8. D C090103 8. A C090103 8. B B092502

9. A P090203 9. D C090204 9. B C090204 9. C B091305

10. B P090205 10. B C090203 10. B C090203 10. A B081011

11. B P090206 11. A C060104 11. C C060104 11. A B091310

12. B P091004 12. C C080604 12. B C080604 12. C B100504

13. A P090112 13. A C090104 13. B C090104 13. B B090102

14. A P090209 14. C C090104 14. D C090104 14. C B091404

15. C P090209 15. A C090205 15. C C090205 15. D B091310

16. A P090305 16. A C090204 16. C C090204 16. C B091408

17. B P090106 17. B C090204 17. A C090204 17. A B091401

18. C P090204 18. C C090204 18. C C090204 18. D B091409

19. C P090204 19. C C090104 19. B C090104 19. D B091311

20. B P090203 20. C C090204 20. A C090204 20. C B091311

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