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Organisation : Brilliant Study Center, Pala
Exam Name : IIT/AIIMS Screening Cum Scholarship Exam
Class : Students Studying in Class 10
Subject : Physics, Chemistry, Maths
Year : September 2018, October 2018, December 2018
Document Type : Sample Question Paper
Website : https://brilliantpala.org/

Brilliant Pala Scholarship Exam Sample Question Paper

IIT/AIIMS Screening Cum Scholarship Exam Sample Question Paper

Related / Similar Question Paper : Brilliant Pala Class VI Foundation Scholarship Test Question Paper 2020-2021

Part I :
This part contains 25 questions
Question No. Physics – (1-25) , Chemistry (31 – 55), Mathematics (61 – 85)

Part II :
This part contains 5 questions
Question No. Physics – (26 – 30 ), Chemistry (46-60), Mathematics (86 – 90)

Physics

1. Two conducting circular loops F and G are kept in a plane on either side of a straight current carrying wire as shown in the figure below
If the current in the wire decreases in magnitude, the induced current in the loops will be
A) Clockwise in F and clockwise in G
B) Anti-clockwise in F and clockwise in G
C) Clockwise in F and anti-clockwise in G
D) Anti-clockwise in F and anti-clockwise in G

2. A body falling from rest describes distance S1, S2 and S3 in the first, second and third seconds of its fall. Then the ratio of S1 : S2 : S3 is :
A) 1 : 3 : 5
B) 1 : 1 : 1
C) 1: 2 : 3
D) 1 : 4 : 9

3. A comb run through ones dry hair attracts small bits of paper. This is due to
A) comb is a good conductor
B) Paper is a good conductor
C) The atoms in the paper gets polarised by the charged comb
D) The comb possesses magnetic properties

4. Ice is floating on water in a beaker when ice completely melts then level of water in beaker
A) Increases
B) Decreases
C) Remains the same
D) First increases then decreases

5. An apple falls from a tree because of gravitation between the earth and apple. If F1 is the magnitude of force exerted by the earth on the apple and F2 is the magnitude of force exerted by apple on earth, then
A) F1 is very much greater than F2
B) F2 is very much greater than F1
C) F1 is only a little greater than F2
D) F1 and F2 are equal

6. A vehicle is moving on a road. Ink drops are falling, one at a time, on the road from the vehicle. After the vehicle has moved away, what one observes is shown (qualitatively) in the figure given below. From the figure we can conclude about the vehicle to be moving
A) From left to right with increasing speed
B) From right to left with uniform speed
C) From right to left with decreasing speed
D) From left to right with decreasing speed

7. Velocity time graph of four athletes for three seconds as given below. Who has travelled maximum distance?
A) A
B) B
C) C
D) D

8. The S.I unit of pressure is
A) Nm2
B) N/m2
C) m2/N
D) N/m

9. The frequency of a source of sound is 50 Hz. How many times does it vibrate in 1 minute
A) 50 B) 300 C) 3000 D) 30000

10. A student was asked to draw a ray diagram for formation of image by a convex lens for the following positions of the object
a) Between F and 2F
b) At F .
c) At 2 F
d) Between F and optical centre

The position for which virtual image can be formed among these is
A) b
B) a
C) c
D) d

11. Which one of the following expressions has the same units as power?
A) Force × distance
B) Work × time
C) Force × acceleration
D) Force × velocity

12. Suppose you are given three resistances of values 2, 4, 6 ohms. Which of the following value is not possible to get by arranging resistances in various combinations?
A) Less than 2
B) Equal to 4.4
C) Equal to 7.33
D) Equal to 6.75

13. The coil of the heater is cut into two equal halves and only one of them is used in the heater. The ratio of the heat produced by the original coil to the halved coil is
A) 2 : 1
B) 1 : 2
C) 4 : 1
D) 1 : 4

14. A flat mirror creates a virtual image of your face which of the following optical elements in combination with the flat mirror can form a real image?
A) convex lens
B) concave lens
C) concave mirror
D) convex mirror

15. When a ray of white light enters a prism, it begins to spread out in rainbow coloures (figure 1). An inverted prism is brought close to this prism as shown in the figure 2. Both the prisms are made of same material. If a ray of white light is incident on surface A and “d” is made zero then output from surface “B” will be

A) White light
B) Rainbow coloures which are converging
C) Rainbow colours which are spreading out
D) no light comes out from surface B

Chemistry

1. Which one of the following oxides gives pink colour with phenolphthalein indicator in aqueous solution
A) N2O
B) NO
C) BaO
D) CO2

2. What are the gases formed, when lead nitrate on heating
A) N2O and NO2
B) NO2 and H2
C) NO2 and NO
D) NO2 and O2

3. Pure gold known as 24 carat gold. It is very soft. In order to make jewellery, it mix with silver or copper. In India 22 carat Au is used for making ornaments. What is the percentage of Au present in 18 carat Au?
A) 91.6%
B) 50.6%
C) 75%
D) 88.8%

4. Among the following is not an oxide ore of metal
A) Copper pyrites
B) Cuprite
C) Bauxite
D) Magnetite

5. To protect decay, one is advised to brush the teeth regularly. The ingredient of the paste which checks the tooth decay is
A) Acidic
B) Basic
C) Neutral
D) Corrosive

6. A metal ‘X’ has high melting point, good conductor of electricity, and is most malleable. Then the metal ‘X’ is
A) Cu
B) Au
C) Fe
D) Pt

7. By which property are gases and liquids different from solid?
A) Volume
B) Mass
C) Conductivity
D) Fluidity

8. Structure of nuclei of three atoms A, B and C are given below.
A has 90 protons and 146 neutrons
B has 92 protons and 146 neutrons
C has 90 protons and 148 neutrons

Based on the above data, which of these atoms are isotopes and which are isobars?
A) A and C are isotopes B and C are isobars
B) A and B are isotopes A and C are isobars
C) B and C are isobars A and B are isotopes
D) A and C are isotopes A and B are isobars

9. How much time it would take to distribute one Avogadro’s number of wheat grains, if 1010 grains are distributed each second
A) 1.9?102 years
B) 1.9?1010 years
C) 1.9?108 years
D) 1.9?106 years

10. The number of atoms present in 0.1 mole of P4 (atomic mass 31) are
A) 2.4?1024 atoms
B) Same as in 0.05 mol of S8
C) 6?1022 atoms
D) Same as in 3.1 g of phosphorous

11. A compound contain three elements A, B and C. If the oxidation number of A = +2, B = +5 and C = –2, the possible formula of the compound is
A) A3(B4C)2
B) A3(BC4)2
C) A4(B4C4)2
D) ABC2

12. Select the anhydrous of acids from the following
A) NH3
B) BaO
C) NO2
D) CaO

13. A Brown and bright element ‘x’ when heated in presence of air turns into black substance ‘y’. If hydrogen gas is passed over this heating material again ‘x’ is obtained ‘x’ and ‘y’ are
A) Cu and CuO
B) S and SO2
C) C and CO2
D) Na and NaH

14. Somebody wanted to calculate the number of moles of oxygen atoms comprising of 9.033?1023 number of its atoms. The person further thought to calculate its mass and to find the number of moles of hydrogen atoms required to combined completely with this amount of oxygen to form water. The number of moles of oxygen atoms, their mass (in grams) and the number of moles of hydrogen atoms are

A) 1.5, 3 and 24 respectively
B) 15, 18 and 3 respectively
C) 0.15, 27, 3 respectively
D) 1.5, 24 and 3 respectively

15. An element X reacts with dilute. H2SO4 as well as with NaOH to produce salt and H2(g). Hence, it may be concluded that-
I. X is an electropositive element
II. oxide of X is basic in nature
III. oxide of X is acidic in nature
IV. X is an electronegative element

A) I, II, III are correct
B) IV, I, II are correct
C) III, IV, I are correct
D) II, III, IV are correct

Maths

1. If x, y and z are distinct real numbers such that x:(y+z)=y:(z+x), then
A) x, y, z are all positive
B) xy+yz+zx+1=0
C) x+y+z=0
D) x, y, z are all negative

2. The sides of a quadrilateral are all positive integers and three of them are 30, 80 and 90 units. How many possible values are there for the fourth side________
A) 120
B) 199
C) 125
D) 190

3. Let a sequence have 1000 zeroes. Instep 1, to every position in the sequence we add 2. Instep 2, to every even position in the sequence we add 2. Instep 3, to every position which is a multiple of 3 we add 2. This is continues up to 1000th step. After 1000th step, what will be the value in the 600th position
A) 48
B) 24
C) 64
D) 124

4. The least number that is divisible by all the numbers from 1 to 10 both inclusive is _____
A) 1820
B) 2320
C) 3520
D) 2520

5. If x and y are co-ordinates of the vertices of a triangle and more over they are rational numbers, then the triangle can’t be a/an
A) Right angled triangle
B) Isosceles triangle
C) Isosceles and right angled triangle
D) Equilateral triangle

6. The ratio of the length of a side of an equilateral triangle and its height is
A) 1: 3
B) 3 : 2
C) 2 : 3
D) 2:1

7. The average marks scored by Aswin in certain number of test is 84. He scored 100 marks in the next test. His new average score of all those tests is 86, then the total number of tests he appeared, is
A) 8
B) 7
C) 5
D) 10

8. If a cylinder of radius 3cm and height 10cm is melted and recast into the shape of small spheres of diameter 1cm, then the number of spheres so formed is
A) 35
B) 270
C) 540
D) 1080

9. The angle of elevation of the top of a building from the foot of the tower is 30o and the angle of elevation of the top of the tower from the foot of the building is 60o. If the tower is 30m high, then the height of the building is
A) 30m
B) 20m
C) 15m
D) 10m

10. If the heights and radii of a cone and a hemisphere are same then the ratio of their volumes is
A) 1:2
B) 2:3
C) 1:3
D) 1:1

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