The IITians Prashikshan Kendra Pvt. Ltd.
Resonance of Brilliant Minds!!!
PRODIGY (FRESHERS) ANNUAL TEST
In-Program Test for PRODIGY 2013 Program
Section - I MATHEMATICS
Q.1If five different chocolates have to distributed amongst five
friends such that each
one receives exactly one chocolate, how many ways can it be done
?
(a) 5
(b) 20
(c) 120
(d)1
Q.2A two digit number is divisible by 3 and 4. Also the
difference between the units digit and the tens digit is equal to
4. The number is
(a) 96
(b) 48
(c) 36
(d) 72
Q.3If x, y, z, are positive real number and a, b, c are rational
numbers, then the value of
is
(a) 1
(b) 1
(c) 0
(d) none of these
Q.4If then is equal to:
(a) 1
(b) 3
(c) 2
(d) 4
Q.5In the figure AB is a diameter of the circle with centre 6
and OA = 7 cm. Find the area of the shaded region
(a) 45 cm
(b) 16.5 cm
(c) 66.5 cm
(d) 77 cm
Q.6Walking at of his usual rate, a man reaches his office 20
minutes too late. Find his usual time.
(a) 1 hr
(b) 2 hr
(c) 3 hr
(c) 4 hr
Q.7The area of shaded region is
(a) 196 cm
(b) 154 cm
(c) 38.5 cm
(d) 42 cm
Q.8If and then is equal to
(a) 9
(b) 10
(c) 11
(d) 13
Q.9The additive inverse of is
(a)
(b)
(c)
(d) none of these
Q.10In external bisectors of B and C meet at O. If A = 50, then
BOC is equal to
(a) 65
(b)
(c) 45
(d)
Q.11In given figure, is equal to
(a)
(b)
(c)
(d)
Q.12If the value of is
(a) 8
(b) 7
(c) 6
(d) 0
Q.13Find the number of ways in which 6 boys and 5 girls be
arranged for a group photograph if the girls are to sit 5 n chairs
in a row and the boys are to stand in a row behind them ?
(a) 840
(b) 86400
(c) 30
(d) 11Q.14If is a factor of polynomial then remainder is?
(a) 0
(b) 5
(c) 19
(d) none
Q.15If the digit 1 is placed after a two digit number whose tens
digit is t and units digit is u, the new number is
(a)
(b)
(c)
(d) None of theseSection - III : CHEMISTRYQ.31Largest number of
molecules are present in -
(a) 44 gm of carbon dioxide
(b) 28 gm of carbon mono oxide
(c) 36 gm of water
(d) 64 gm of sulphur dioxide
Q.32The number of molecules in 1.7 gram of ammonia will be
(a) 0.1
(b)
(c)
(d)
Q.33Protons are -
(a) Ionised H atoms
(b) (alpha) particles
(c) All positive (+ve) particles
(d) Negative particles
Q.34A solution containing one mole of a solute dissolved in one
kilogram of solvent is
(a) A normal solution
(b) A molal solution
(c) A molar solution
(d) A saturated solution
Q.35Elements in the same vertical group of the periodic table
have generally
(a) The same atomic size
(b) The same electronic configuration
(c) The same number of electrons in the outermost orbit of their
atoms
(d) The same number of isotopes
Q.36The total number of sigma bonds in is
(a) Four
(b) Five
(c) Six
(d) Seven
Q.37Halogens are put in the periodic table in
(a) Zero group (b) V group
(c) I group
(d) VII group
Q.38The number of protons, neutrons and orbital electrons in
particles from letters A to F are given in the following table
ParticleProtonsNeutronsElectrons
A3420
B91010
C121212
D171817
E172017
F182218
Choose from the table the letters that represent an atom of
inert gas.
(a) B and F
(b) F
(c) A and B
(d) A
Q.39The number of elements in the third period in the periodic
table is
(a) 8
(b) 18
(c) 32
(d) 2
Q.40Within a group of the periodic table as one goes from
downward to upward, the
metallic character
(a) Decreases
(b) Increases
(c) First increases then decreases
(d) Does not change
Q.41
In the above reaction 50 gm of iron is added to 1 litre of
copper sulphate solution. If the weight of Cu precipitated is 25
gm, find the approximate weight of unreacted iron.( )
(a) 20
(b) 23
(c) 28
(d) 25
Q.42When the equation is balanced, then what are the values of A
and B respectively?
(a) 1, 4
(b) 2, 4
(c) 3, 4
(d) 4, 4
Q.43Which of the following compounds has an ionic bond?
(a) Sulphur dioxide
(b) Nitrogen dioxide
(c) Carbon dioxide
(d) Manganese dioxide
Q.44If the mass of one molecule of a substance is g. Then, its
molecular mass is ........
(a) 40
(b) 48
(c) 56
(d) 64
Q.45The product of (Valency of H)2 (Valency of Mg)2 (Valency of
Na)3 (Valency of Ne) is
(a) 27
(b) 108
(c) 216
(d) 0(((((((((((
D
C
B
A
14 cm
7 cm
A
O
D
B
C
A
B
8
C
O
EMBED Equation.3
6
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