FIITJEE
INDIAN OLYMPIAD QUALIFIER IN JUNIOR SCIENCE (IOQJS)
PART – 1
Held on: March 06, 2022
QUESTION PAPER
INSTRUCTIONS
1. Question paper has two parts. In Part A1 (Q. No. 1 to 24) each question has four
alternatives, out of which only one is correct. Choose that correct alternative and fill the
appropriate bubbles, as shown
2. In part A 2 (Q. No. 25 to 33) each question has four alternatives out of which any number
of alternative (s) (1, 2, 3 or 4) may be correct. You have to choose all correct alternative(s)
and fill the appropriate bubble(s), as shown.
3. For Part A1, each correct answer carries 3 marks whereas 1 mark will be deducted
for each wrong answer. In Part A 2, you get 0 marks if all the correct alternatives are
marked and no incorrect. No negative marks in this part.
4. Use of non – programmable scientific calculator is allowed.
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1. The variation of a certain physical parameter Z with variable u is given by the relation
3
R
Z A , where R and A are constants and the maximum value of u << R. Then to
R u
find R, a student plots a graph of variation of Z (Y axis) against u (X axis). The graph is a
R
(a) straight line passing through origin and slope = .
3
3A R
(b) straight line with intercept and slope =
2 3A
3A
(c) straight line with intercept A and slope =
R
A
(d) straight line with intercept and slope 3R
2
2. A submarine S1 is parked at a depth of 200 m in an ocean on earth. Assume oceans exist on
Mars. At about what depth a submarine S2 has to be parked in an ocean on Mars so that S2
will experience same pressure as that of S1? Acceleration due to gravity on Mars is 3.7 m/s2.
(Assume that sea water density on Earth and Mars is same, 1.03 103 kg / m3 )
(a) 158 m (b) 435 m (c) 530 m (d) 616 m
3. In an oscillating system, damping results in dissipation of the stored energy. The following
figure shows the variation of displacement x with time t for an oscillating system. Which of
the following statements best describes this physical phenomenon.
(a) Oscillatory motion of an object without damping
(b) Oscillatory motion of an object with damping such that time measurement was started
when the system was at the mean position.
(c) Oscillatory motion of an object with damping with decreasing time period.
(d) Oscillatory motion of an object with damping such that time measurement was started
when the system had maximum potential energy.
4. In the adjacent circuit, the galvanometer G does not
show any deflection. If R = 2, the current drawn
from the cell is
(a) 1A
(b) 9A
(c) 4A
9
(d) A
4
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5. Gear is a mechanical system used to transfer mechanical and rotary motion from one
mechanical system to another. As shown in the figure below the driving wheel A drives the
driven wheel B without slipping and thus forms the gear system. The wheel A has 16 teeth
and B has 24 teeth. Wheel B has a projection (shown by white ring in Fig. 1 and also in the
14
side view of Fig.2) of radius cm
11
A long massless, inextensible string can be wound/unwound over this circular projection.
A mass m is attached to the free end of this long string. If the wheel A makes 6 revolutions
per second in the clockwise direction, without slipping, then in ½ second the potential energy
of the mass m in CGS unit
(a) increases by 32 mg (b) decreases by 32 mg
(c) increases by 16 mg (d) decreases by 16 mg
6. Canopus is the second brightest star in the night sky. It is about 300 light years away. The
energy is produced inside the star through nuclear reaction. If we receive 5.0 10–8 W/m2
energy from Canopus, how much mass does it lose per second?
(a) 1.70 10–6 kg (b) 1.91 109 kg
(c) 5.62 1013 kg (d) 6.34 1031 kg
7. An average human adult radiates about 100 W energy mainly in infra-red region of the
electromagnetic spectrum. 50 persons are sitting in a hall with an air conditioning system
which is 50% efficient. How much electricity must be used to maintain temperature of the hall
at 25oC for 4 hours?
(a) 5 units (b) 10 units (c) 20 units (d) 40 units
8. Which of the following is not a function of mature RBCs?
(a) Help in classifying blood in different blood groups
(b) Helps in transport of gases
(c) Synthesis of immunoglobulins
(d) Help in maintaining acid base balance in the body
9. In which of the following classes of vertebrates there are groups of animals without limbs?
(a) Fish, reptiles and mammals (b) Reptiles only
(c) Reptiles and Amphibians (d) Amphibians only
10. Which of the following groups have only one pair of wings?
(a) Honey bee, beetle, ant (b) Butterfly, housefly, fruitfly
(c) Dragonfly, butterfly, fruitfly (d) Housefly, fruitfly, mosquito
11. During an expedition to planet ‘Imagitica‘, scientists analysed the genetic material of the
organisms found there and noted the following features:
(i) Amount of purines and pyrimidines is unequal
(ii) Absence of thymine
(iii) Unstable genetic material with high frequency of mutation
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(iv) Rapid degeradation at pH above 12
From the above data, what genetic material might the Imagitical inhabitants contain?
(a) ssDNA (b) dsDNA
(c) ssRNA (d) dsRNA
12. Which of the following is most likely to show aernchyma?
(a) Leaf base of mango (b) Petiole of water hyacinth
(c) Seta of moss (d) Stem of Opuntia
13. Given below are three statements about bryophytes:
(i) Bryophytes are lower plants with plant body differentiated into root, stem and leaves.
(ii) Bryophytes are devoid of xylem and phloem
(iii) Bryophytes required water for completion of their life cycle
Which of the above statement/s is/are true with respect to bryophytes?
(a) ii only (b) i and ii
(c) i and iii (d) ii and iii
14. Carbon fixation in most of the succulent plants takes place through which pathway?
(a) Calvin cycle (b) Glycolate pathway
(c) Crassulacean acid metabolism pathway (d) Hatch-Slack pathway
15. If a flower is large, wide-mouthed, white, showing anthesis after sunset, and emitting fruity or
musky fragrance, it is most likely to be pollinated by:
(a) Birds (b) Bats
(c) Insects (d) Baboons
16. Coal is a common fossil fuel. It contains 0.2 to 5.0 percent sulphur which on burning
produces a gas responsible for acid rain. The number of atoms in one mole of this gas is
(a) 6.02 × 1023 (b) 1.81 × 1023
(c) 1.81 × 10 24 (d) 1.21 × 1024
17. The stomach fluids in human contains HCl, KCl and NaCl. The stomach fluid is highly acidic
and plays an important role in the digestion of food as well as killing of bacteria. The
increased acidity may lead to abdominal pain, cause, bloating and hearten. Such a pastiest
is prescribed antacid tablet which mainly contains aluminium hydroxide (Mol. Wt. 78). If the
concentrations of HCl, KCl and NaCl are 0.01 M each and the stomach fluid volume is 2 litre,
the amount of Al(OH)3 required to neutralize the fluid will be
(a) 0.52 g (b) 1.08 g
(c) 0.81 g (d) 2.16 g
18. A 0.500 g mixture of calcium carbonate and calcium oxide was strongly heated to produce a
non-combustible gas. If the weight of the residue obtained on heating is found to be 0.434 g.
The percentage of calcium oxide in the mixture is
(a) 70% (b) 30%
(c) 35% (d) 60%
19. Arrange the following in the increasing order of their metallic character Na, C, O, Li, Be
(a) C < O < Na < Li < Be (b) O < C < Be < Na < Li
(c) O < C < Be < Li < Na (d) C < O < Be < Li < Na
20. A 50 ml of 0.1 M acetic acid solution is taken in a beaker and two wires are dipped in it as
shown in following figure.
When electric supply is switched on, the bulbs glows. To this solution, distilled water is
added slowly till the volume doubles. During the addition of water, the intensity of the bulb
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(a) remains unchanged (b) goes on decreasing
(c) goes on increasing (d) suddenly becomes zero
21. A compound X when heated with NaOH solution produces a pungent gas that turns red
litmus blue. When an aqueous solution of X is treated with AgNO3 solution, a white
precipitate Y is obtained which on keeping in sunlight turns grey liberating pale yellowish
green gas. The aqueous solution of compound X is
(a) neutral (b) slightly acidic
(c) slightly alkaline (d) strongly acidic
22. Equal masses of two gases among N2, NO, O2, CO, CO2 and SO2 occupy same volume at
STP. These two gases are:
(a) N2 and O2 (b) CO and NO
(c) SO2 and CO2 (d) N2 and CO
23. When a solution and pure solvent are separated by a semispherical membrane, the solution
excess a pressure on the membrane called as osmotic pressure. The osmotic pressure
increases with increase in number of particles (ions or molecules) in the solution. If 10 milli
moles of each of the sulphate salts of sodium, magnesium and Aluminium are dissolved in
1.0 litre of water in three different beakers labeled as P, Q, and R respectively, the osmotic
pressure follows the order.
(a) P < Q < R (b) Q < P < R
(c) P > Q > R (d) P > R > Q
24. The axes of a coordinate system S2 are inclined at an angle to those of another coordinate
system S1. The origins of both the systems are coinciding. A particle P1 at rest in system S1,
starts from point (–2, 0) and travels along positive direction of X 1 axis with uniform
acceleration of 1.25 m/s2 for 4s and stops. In system S2, particle P2, starts from rest form the
origin and travels for 2 s along positive direction of X2 axis with uniform acceleration 5 m/s2
and stops. If the final distance between P1 and P2 is 6 m, then the angle between +Y1 axis
and +X2 axis is
(a) 36.80 (b) 53.20
(c) 106.8 0 (d) 126.80
25. According to Einstein’s theory, light can be assumed to be in form of a large number of
discrete energy packets called ‘photons’. In case of light of frequency , each photon carries
energy E = h. In a certain surgical procedure a surgeon uses LASER beam of wavelength
650 nm in pulses of 30.0 ms duration. The average power of each pulse is 0.6 W. Here h is
Planck’s constant, Then
(a) the frequency of this LASER photon is 4.6 x 1014 Hz
(b) the energy in each pulse is 1.1 x 1014 eV
(c) energy of one photon is 3.1 x 10-19 J
(d) number of photons in each pulse is 5.9 x 1016
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26. In the following circuit, R1 = 6 , R2 = 12 , V = 16 V. The current I1 and I2 flow through the
resistance R1 and R2 respectively
(a) power generated across R1 and 42.6 watt
I1
(b) the ratio of 2
I2
(c) total current drawn from the cell is 4 ampere
(d) as R2 = 2 R1 the voltage across R2 will be twice the voltage across R1
27. A glass plate of uniform thickness t and refractive index is as shown in the diagram. AB is
the incident ray and FG is the emergent ray. The angles of incidence and refraction are i and
r respectively. The perpendicular distance FC = x between the incident and the emergent
rays is called the lateral shift. Then
cosisinr
(a) x = t sini
cosr
(b) x depends on refractive index
(c) x is independent of the wavelength of light
(d) Maximum value of x = t when i is close to 900
28. Given below are four statements about viruses. Which of the following statements is/are
incorrect?
(a) All known viruses contain RNA as the genetic material.
(b) During viral multiplication, a complementary DNA is produced in riboviruses.
(c) Viruses are the smallest, freely living cells found on the planet.
(d) DNA containing viruses are more susceptible to mutations when compared to RNA
containing viruses and hence show a very rapid evolution.
29. During a race, Ramesh was thrown off the horse back and suffered an injury in the front part
of head. Upon through examination, Ramesh was found to have injury to the front part of
head. Which of the following can be possible outcomes of this injury?
(a) Trouble is speaking properly
(b) Inability to smell
(c) Inability to walk on a narrow path
(d) Inability to maintain blood pressure
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30. Which of the following molecules are primarily responsible for structure support and motility?
(a) Actin (b) Tubulin alpha
(c) Lamins (d) Desmin
31. The type of bonding found in dry ice is/are
(a) Covalent (b) Ionic
(c) Metallic (d) Vander Wall forces
32. The compounds that raise’s the temperature of water (from room temperature) on dissolving
in it is/ are
(a) Ammonium chloride (b) Potassium hydroxide
(c) Glucose (d) Conc. HCI
33. Soaps and detergents are common agents used in laundry industry. They are long chain
hydrocarbons with ionic terminals of cationic or anionic nature. A 1% (w/v) soap solution X
and 1% (w/v) detergent solution Y were prepared in distilled water. Each of the solutions was
divided in two equal parts and labeled as X1, X2, Y1 and Y2. 1 g of NaCl was added to X1
and Y1 each while 1 g CaCl2 was added to X2 and Y2 each. Which of the following
observations is / are correct?
(a) X1 shows slimy precipitate (b) X2, shows slimy precipitate
(c) Y1 shows slimy precipitate (d) Y2 shows slimy precipitate
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