STWT-5

The IITians Prashikshan Kendra

A Resonance of Brilliant Minds!

PRODIGY (SCHOLARS) ANNUAL TEST

In-Program Test for PRODIGY 2013 Program

12th January, 2014

MathematicsQ.1If , then

(a)

(b)

(c)

(d) None of these

Q.2

(a)

(b) 0

(c)

(d)

Q.3

(a)

(b)

(c)

(d) None of these

Q.4If , then the value of k is

(a) 1

(b) 0

(c) 1

(d) None of these

Q.5If , then is

(a)

(b)

(c)

(d) None of these

Q.6If a, b, c are in G.P. then

(a)

(b)

(c)

(d) None of these

Q.7The roots of are equal, then the value of p is

(a)

(b)

(c)

(d)

Q.8The determinant is not equal to

(a)

(b)

(c)

(d)

Q.9The quadratic in t, such that A.M. of its roots is A and G.M. is G, is

(a)

(b)

(c)

(d) None of these

Q.10The 9th term of the series will be

(a)

(b)

(c)

(d)

Q.11If are the roots of the equation then the value of is equal to

(a)

(b)

(c)

(d) Q.12The fifth term of H.P., will be

(a)

(b)

(c) 1/10

(d) 10.

Q.13

(a) 1

(b)

(c)

(d)

Q.14

(a)

(b)

(c)

(d) None of these

Q.15The roots of the equation are equal, then

(a)

(b)

(c)

(d)

Q.16If then

(a) 0

(b) 1

(c) 2

(d)

Q.17If and lies in the fourth quadrant, then

(a)

(b)

(c)

(d)

Q.18If then is equal to

(a)

(b)

(c)

(d)

Q.19

=(a) 7

(b) 10

(c) 13

(d) 17

Q.20If , and , then

(a)

(b)

(c)

(d)

ChemistryAtomic masses of some elements

Sodium : 23

Oxygen : 16,

Carbon : 12,

Hydrogen : 1

Nitrogen : 14

Sulphur : 32 Phosphorus : 31,Chlorine : 35.5,Aluminium : 27Copper : 63.5 Barium : 137.3Iron : 55.8 Q.41Of the following elements, which one has highest electronegativity?

(a) F

(b) Cl

(c) Br

(d) I

Q.42As one moves along a given row in the periodic table, ionization energy:

(a) increases from left to right

(b) decreases from left to right

(c) first increases, then decreases

(d) remains the same

Q.43Increasing order of atomic radii is:

(a)

(b)

(c)

(d)

Q.44The element with atomic number 55 belong to:

(a) s-block

(b) p-block

(c) d-block

(d) f-block

Q.45The electronic structure is characteristic of:

(a) lanthanides

(b) actinides

(c) rare earth

(d) transition elements

Q.46Which of the following hybridisation has maximum s character ?

(a)

(b)

(c)

(d)

Q.47Which of the following pairs has both members from the same group of the periodic table?

(a) Mg Ba

(b) Mg Cu

(c) Mg K

(d) Mg Na

Q.48Elements in which 4f orbitals are progressively filled are called as:

(a) lanthanides

(b) actinides

(c) inert gases

(d) transition elements

Q.49Two containers A and B contain the same gas. If the pressure, volume and absolute temperature of the gas in A are twice as compared to those of B and if the mass of the gas in B is xg, the mass of gas in A will be:

(a) g

(b) g

(c) g

(d) g

Q.50The geometry and type of hybrid orbital present about the central atom in

is:

(a) linear, sp

(b) trigonal planar,

(c) tetrahedral,

(d) pyramidal,

Q.51The type of hybridization that can explain the bonding in is:

(a)

(b)

(c)

(d)

Q.52The type of hybridization in water molecule is:

(a)

(b)

(c)

(d) None of these

Q.53The number of pi-bonds in

is

(a) 4

(b) 3

(c) 2

(d) 5

Q.54In the equation , which one cannot be the numerical value of R ?

(a)

(b)

(c)

(d)

Q.55A mass of neon occupies 400 mL at 100(C. The volume at 0(C, the pressure remaining constant, is:

(a) 293 mL

(b) 307 mL

(c) 239 mL

(d) 300 mL

Q.56A cylinder contains 0.3 mole of , 0.1 mole of and 0.1 mole of He. The total pressure of the gases is 1 atm. The partial pressure of in mm (Hg) is :

(a) 152

(b) 304

(c) 380

(d) 458

Q.57The given graph illustrates :

(a) Daltons law(b) Charles law(c) Boyles law

(d) Gay-Lussacs law

Q.58The density of methane at 250(C and 6 atm pressure is:

(a)

(b)

(c)

(d)

Q.59Pure hydrogen sulphide is stored in a tank of 100 liter capacity at 20(C and 2 atm pressure. The mass of the gas will be:

(a) 34 g

(b) 340 g

(c) 282.4 g

(d) 28.24 g

Q.60The molecular weights of and are 32 and 64, respectively. If one liter of at 15(C and 750 mm pressure contains N molecules, the number of molecules in two liter of under the same conditions of temperature and pressure will be:

(a)

(b) N

(c) 2N

(d) 4N

Temp (K)

V

Page 1 of 7Rough WorkThe IITians Prashikshan Kendra A Resonance of Brilliant Minds!

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