Amplitude Talent Search Examination – 2015
CHEMISTRY (X)
SECTION : I
Q. 1
How many NaCl molecules are present in 1 kg of NaCl.
Ans.
Q.2
If Thomson’s model of an atom were be true, then what would be the results of Rutherford’s Gold
foil experiment?
Ans.
Q. 3
The acid which is present in Backing powder is
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Q. 4
>200o C
4HNO3→
4NO2(g) + ________ + 2 ________?
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Q. 5
Condensed formula of isobutene, molecular formula of propane are
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Q. 6
Zn + H2SO4 (dil) → __________ + H2(g)
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Q. 7
ZnSO4 + Na2CO3→ ________ + ________.
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Q. 8
Name the three metals in the third period of the modern periodic table
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Q. 9
Name two olfactory indicators
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Q. 10 The chemical formula of bleaching powder.
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Amplitude Talent Search Examination – 2015
Ans.
Q. 11 Which functional group is present in
O
||
CH3 – C – O – C2H5
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Q. 12 Write the formula of Cryolite
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Q. 13 The human blood works with in pH range of _______ to _______.
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SECTION : II
Q. 14 A hydrocarbon (X) was found to have 84% carbon by mass. Then what would be the molecular
formula of X?
Ans.
Q. 15 If atomic weight of ‘S’ atom is 32 then how many times it is heavier than C12 atom?
Ans.
Q. 16 Number of ‘H’ atoms in 3rd member of the homologous series & alkynes will be ?
Ans.
Q. 17 A tri-positive ion of an atom consist of 7 electrons and 9 neutrons, then its mass will be ?
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Q. 18 Boron has highest melting point among the 13th group due to
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Q. 19 The ratio of no of π bonds present in H2SO4 and H2S2O7 are respectively
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Q. 20 From the following information identify ‘C’.
Organic Acid (A) + Alcohol (B) → C
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Amplitude Talent Search Examination – 2015
Given that ‘A’ is third member of homologous series of carboxylic acid and B is second member of
homologous series of alcohol.
Ans.
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Amplitude Talent Search Examination – 2015
MATHEMATICS (X)
SECTION : I
Q. 1
1
2
Which term of progression 19, 18 5, 17 5, ....... is first negative term
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Q. 2
The sum of n terms of two arithmetic series are in ratio 2n + 1 : 2n – 1. Find the ratio of their 10th
terms.
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Q. 3
If one root of the equation x2 + ax + 3 = 0 is 3 and one root of quadratic x2 + ax + b = 0 is three times
the other root then what is the value of b.
Ans.
Q. 4
A husband and a wife appear in an interview for two vacancies in the same post of “Amplitude”. The
1
1
probability of husband’s selection is 7 and that of wife’s selection is 5, what is the probability that
only one of them is selected.
Ans.
Q. 5
If x= y cos 120o = z cos (240o). The value of xy + yz + zx equal to :
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Q. 6
tan2 θ−cosec2 θ
If θ is an acute angle such that sec2θ = 3 then the value of tan2 θ+cosec2 θ
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Q. 7
1
If sin x + cos x = 2 then the vlaue of sin3x + cos3x is :
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Q. 8
√5 + 2√6 can be written in the √a + √b then (a + b) is equal to
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Q. 9
If one root of the equation 4x2 – 2x + λ – 4 = 0 be the reciprocal of other value of λ is :
Ans.
Q. 10 In figure if ∠AOB = 80o, ∠ABC = 30o, ∠CAO = θ,
then value of sin θ is :
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Amplitude Talent Search Examination – 2015
Ans.
Q. 11 Find the area of largest triangle that can be inscribed in a semi circle of radius 12.
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Q. 12 Orthocenter of triangle whose vertices are (0, 0), (3, 0) and (0, 4) is H(a, b) circumcentre is
C(c, d) then value of
(a+b)2 +(c+d)2
ab+cd
is :
Ans.
Q. 13 If the co-ordinates of point which divides the join of the points (8, 9) and (−7, 4) internally in the
ratio 2 : 3 are (p, q). Find the value of p + q + pqis :
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Q. 14 If 3x2 + 10x + 3 = (ax + b)(x + 3) then (a2 + b2) is :
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Q. 15 Let ∠A be nine times ∠B and the complement of ∠B be nine times the complement of ∠A. Find ∠B.
Ans.
SECTION : II
x
Q. 16 2π x + (2π + 5)y = 3√2 x + (3√2 + 5)y, then the value ofy is :
Ans.
Q. 17 ABCD is a rectangle, E and F are mid points of AD and AB respectively.
AB
If EF = 2√3 and FC = √13, then ratio (AD) is :
Ans.
1
1
Q. 18 If ∠ABG = 6∠ABD; ∠FDE = 6∠BDE and BG || DF.
The measure of angle ∠C is
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Q. 19 Four congruent rectangles and a square are assembled without overlapping
to form a large square, as shown. Each of the rectangles has a perimeter of
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Amplitude Talent Search Examination – 2015
40 cm. The total area of the large square is
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Q. 20 In figure, O is the center of the circle and ∠DAB = 50o.
Sum of the values of x and y is :
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Q. 21 If four different positive integers m, n, p and q satisfy the equation (7 – m)(7 – n)(7 – p)(7 – q) = 4,
then the sum (m + n + p + q) is equal to
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Q. 22 There are 24 students in a classroom. Six students move from left side of the classroom to the right
side and now the right side has as many students as the left side used to have. Number of children
which the left side originally has, is
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Q. 23 The number which must be added to the polynomial P(x) = (x3 + 2x2 + 3x + 1), to make it exactly
divisible by (x – 2) is :
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Q. 24 In the diagram, the circle and the square have the same center O and equal areas.
The circle has radius 1 and intersects one side of the square at P and Q. The length
of PQ, is
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Q. 25 A jeweler has a 20 gram ring which contains 60% gold and 40% silver. He wants to melt it down and
add enough gold to make it 80% gold. Number of grams of gold there should be added, is :
Ans.
Q. 26 Let k = (2012)2 + 22012. The unit digit of k is :
Ans.
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Amplitude Talent Search Examination – 2015
Q. 27 In a quadrilateral ABCD, ∠D = ∠A = 90o and ∠C = 45o.
The area of ABCD is square units, is
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Q. 28 In the given figure if DE || BC then x is equal to
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Q. 29 There are two identical cubes. Out of one cube, a sphere of maximum volume (VS) is cut off. Out of
the second cube, a cone of maximum volume (VC) is cut such that its base lies on one of the faces of
the cube. Then the value of ratio VS/VCis :
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Q. 30 If three cylinders of radius 𝑟 and height ℎ are placed vertically such that the curved surface of each
cylinder touches the curved surfaces of the other two cylinders tangentially.The volume of the air
space left between the three cylinders is
π
2
(√𝑎 − b) r c h.The the value of (√𝑎 + √𝑏 + √𝑐) is :
Ans.
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Amplitude Talent Search Examination – 2015
BIOLOGY (X)
Q. 1
A patient in a hospital is undergoing a treatment for some disorder. A machine homodialyzer is being
used to treat the patient. There is an inlet through which blood from patient’s body is entering the
machine and an outlet tube from the machine and an outlet tube from the machine is entering the
patient’s body. The organ likely to be affected in the patient and the blood in inlet and outlet tube in
terms of urea rich/poor respectively will be _____?
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Q. 2
A young may be feeding entirely on mother’s milk which is white in colour but the stools which the
infant passes out is quite yellowish. What is this yellow colour due to____ ?
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Q. 3
Two friends are eating together on a dining table. One of them suddenly starts coughing while
swallowing some food. This coughing would have been due to improper movement of____?
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Q. 4
At the arteriole end of a capillary, oxygen is being delivered to the interstitial fluid tissue cells, as
essential nutrients such as amino acids and glucose. At the venule end of the same capillary carbon
dioxide is being picked up from the interstitial fluid/tissue cells, as is ammonia. This capillary bed is
probably a part of which circulation?
Ans.
Q. 5
Krishna is married toRadha, who was previously married to Varun, now deceased. Varun and Radha
conceived one child together and adopted one child. Krishna and Radha have also conceived one
child. All members of Radha’s current family have had DNA fingerprinting done. Unfortunately the
sheet that identified each child has been misplaced. Identify which fingerprint in each lane
corresponds to child-1, child-2, child-3.
Ans.
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Amplitude Talent Search Examination – 2015
Q. 6
While walking home from night class, a college student was frightened by a barking dog. After
walking to another block, she notices her breathing and heart rate have slowed down to normal
levels. Which branch of her nervous system is responsible for these changes?
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Q. 7
Which part of the brain is involved in loss of control when a person drinks alcohol?
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Q. 8
The following diagram indicates the reflex arc.
Identify the parts labeled as A, B, C, D, E, F and G.
Choose the correct option.
Ans.
Q. 9
Time required for the brain to stay alive without oxygen.
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Q. 10 What would happen when you smell something delicious, which receptors get active ?
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Q. 11 In forensic test for rape, the sexual intercourse is confirmed by presence of _____?
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Q. 12 The pseudo penis in the female is____?
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Q. 13 The expulsion of completely developed foetus from the uterus is known as
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Q. 14 The figure given below depicts a diagrammatic sectional view
of the human female reproductive system. Identify parts I-VI.
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Amplitude Talent Search Examination – 2015
Ans.
Q. 15 What is the meaning of surrogate mother?
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Q. 16 Queen Victoria of England was a a carrier of which disease?
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Q. 17 Two pea plants were subjected cross pollination. Of the 183 plants produced in the next generation,
94 plants were found to be tall and 89 plants were found to be dwarf. The genotypes of the two
parental plants are likely to be :
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Q. 18 In a dihybrid cross where two parents differ in two pairs of contrasting traits like seed colour yellow
(YY) and seed colour green (yy) with seed shape round (RR) and seed shape wrinkled (rr), the
number of green coloured seeds (yy) among sixteen products of F2 generation will be
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Q. 19 When yellow round heterozygous pea plants are self fertilized, the frequency of occurrence of RrYY
genotype among the offspring is ____?
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Q. 20 In a typical Mendalian cross which is a dihybrid cross, one parent is homozygous for both dominant
traits and another parent is homozygous for both recessive traits. In the F2 generation, both parental
combinations and recombinants appear. The phenotypic ratio of parental combinations to
recombinants is _____?
Ans.
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Amplitude Talent Search Examination – 2015
PHYSICS (X)
Q. 1
A block of mass 120 g moves with a speed of 6.0 m/s on a frictionless horizontal surface towards
another block of mass 180 g kept at rest. They collide and the first block stops. Find the speed of the
other block after collision
Ans.
Q. 2
Neglecting the effect of air resistance a stone dropped off a 180 m high building. How long it will
takes to lands on ground.
Ans.
Q. 3
What is the value of θ in the following ray diagram?
Ans.
Q. 4
A boat floating in a water tank is carrying a number of large stones. If the stones are unloaded in to
water, what will happen to the water level :
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Q. 5
A ray of light incident the plane mirror normally. What is the angle of incidence and angle of
reflection?
Ans.
Q. 6
Earth receives energy from sun at the rate of P per unit area per unit time. Taking the radius of the
earth to be R, find the solar energy received by the earth in one second.
Ans.
Q. 7
A ray of light passes through four transparent media with refractive indices μ1, μ2, μ3 and μ4 as
shown in the figure, The surfaces of all media are parallel. If the emergent ray CD is parallel to the
incident ray AB, we must have
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Amplitude Talent Search Examination – 2015
Ans.
Q.8
What happens to the image distance in the eye when we increase the distance of an object from the
eye?
Ans.
Q. 9
Find the equivalent resistance between a and b in the following circuit.
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Q. 10 A fly F is sitting on a glass slab A, 45 cm thick and of refractive index 3/2. The slab covers the top of
a container B containing water (Refractive index 4/3) upto a height of 20 cm. The bottom of
container is closed by a concave mirror C of radius of curvature 40 cm. Locate the final image
formed by all refractions and reflection assuming paraxial rays.
Ans.
Q. 11 Acomposite slab consisting of different media is placed in front of a concave mirror of curvature 150
cm. The whole arrangement is placed in water (μw = 4/3). An object O is placed at a distance 20 cm
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Amplitude Talent Search Examination – 2015
from the slab. The refractive index of different media are given in the diagram. Find the position of
final image formed by the system.
Ans.
Q. 12 A double convex lens forms a real image of an object on a screen which is fixed. Now the lens is
given a constant velocity v0 along its axis and away from the screen. For the purpose of forming the
image always on the screen, the object is also required to be given an appropriate velocity. Find the
velocity of the object at the instant its size in n times the size of the image (n<1)
Ans.
Q. 13 Find the net emf of the three batteries shown in figure.
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Q. 14 A car P is moving with a uniform speed of 5√3 m/s towards a carriage
of mass 9 kg at rest kept on the rails at a point B as shown in figure. The
height AC is 120 m. Cannon balls of 1 kg are fired from the car with an
initial velocity100 m/s at an angle 30owith the horizontal. The first
cannon ballhits the stationary carriage after a time t0 and sticks to it.
Determine t0. At t0, the second cannon ball is fired. Assume that the
resistive force between the rails and the carriage is constant and ignore
the vertical motion of the carriage throughout. If the second cannon ball
also hits and sticks to the carriage. What will be the horizontal velocity of the carriage just after the
second impact ? Take g = 10 m/s2.
Ans.
Q. 15 Three identical particles A, B and C lie on a smooth horizontal table.
Light inextensible strings which are just taut connected AB and BC &
∠ABC is 135o. An impulse J is applied to the particle C in the direction
BC. Find the initial speed of each particle. The mass of each particle is m.
Ans.
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Amplitude Talent Search Examination – 2015
Q. 16 What should be the value of refractive index μ of a glass rod placed
in air, so that the light entering through the flat surface of the rod
does not cross the curved surface of the rod?
Ans.
Q. 17 An object 5 cm tall is placed 1 m from a concave spherical mirror which has a radius of curvature of
20 cm. Then what is the size of Image?
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Q. 18 In an object moves towards a plane mirror with a speed ‘𝑣’ at an
angle ‘θ’ to the ⊥ to plane of the mirror. Find the relative velocity
between object and mirror.
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Q. 19 The wheel of a motor accelerated uniformly from rest rotates through 5 radian during the first
second. Calculate the angle Rotated during the next second.
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Q. 20 Find the effective value of current 𝑖 = 2 sin 100 π t = 2 cos (100 π t + 30o).
Ans.
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