Test: BITSAT Mock Test- 9

Test: BITSAT Mock Test- 9 - Question 1

A radioactive substance emits

A.
Electromagnetic radiation
B.
Electrons revolving around the nucleus
C.
Charged particles
D.
Both (a) and (c)

Test: BITSAT Mock Test- 9 - Question 2

If M = mass, L =length,T =time and I = electric current then the dimensional formula for electrical resistance R is given by

A.
[M¹L²T⁻³I⁻²]
B.
[M¹L²T⁻³I²]
C.
[M¹L²T³I⁻²]
D.
[M¹L²T³I²]

Test: BITSAT Mock Test- 9 - Question 3

When the speed of electrons increases, then the value of its specific charge

A.
Increases
B.
Decreases
C.
Remains unchanged
D.
Increases upto some velocity and then begins to decrease

Test: BITSAT Mock Test- 9 - Question 4

A strip of copper and another of germanium are cooled from room temperature to 80 K. The resistance of

A.
Each of these increases
B.
Each of these decreases
C.
Copper strip increases and that of germanium decreases
D.
Copper strip decreases and that of germanium increases

Test: BITSAT Mock Test- 9 - Question 5

The first line in the Lyman series has wavelength λ. The wavelength of the first line in Balmer series is

A.
2/9 λ
B.
9/2 λ
C.
5/27 λ
D.
27/5 λ

Test: BITSAT Mock Test- 9 - Question 6

Energies of electrons can be increased by allowing them

A.
To fall through electric potential
B.
To move in high magnetic field
C.
To fall from great heights
D.
To pass through lead blocks

Test: BITSAT Mock Test- 9 - Question 7

In an A.C. circuit, the current is given by i = 5 sin (100t - π/2) ampere and the A.C. potential is V = 200 sin (100t) volt. Then the power consumption is

A.
20 watts
B.
40 watts
C.
1000 watts
D.
0 watt

Test: BITSAT Mock Test- 9 - Question 8

An inductance L having a resistance R is connected to an alternating source of angular frequency ω. The quality factor (Q) of the inductance is L/R

A.
(ωL/R)²
B.
(R/ωL)¹∕²
C.
ωL/R
D.
R/ωL

Test: BITSAT Mock Test- 9 - Question 9

The two point charges of 2C are -6C attract each other with a force of 12N. A -ve charge of 2C is added to each of the above charges. Now the force between them is

A.
1
B.
0
C.
2
D.
3

Test: BITSAT Mock Test- 9 - Question 10

A charge q is located at the centre of a cube. The electric flux through any face is

A.
4π q/6(4πε₀)
B.
π q/6(4πε₀)
C.
q/6(4πε₀)
D.
2q/6(4πε₀)

Test: BITSAT Mock Test- 9 - Question 11

To aviod slipping while walking on ice, one should take smaller steps because of the

A.
Friction of ice is large
B.
Larger normal reaction
C.
Friction of ice is small
D.
Smaller normal reaction

Test: BITSAT Mock Test- 9 - Question 12

The time-period of a satellite of earth is 5 h. If the separation between the earth and satellite is increased to 4 times the previous value, the new time-period will become

A.
10 h
B.
20 h
C.
40 h
D.
80 h

Test: BITSAT Mock Test- 9 - Question 13

An electric current passes through a long straight copper wire. At a distance 5 cm from the straight wire, the magnetic field is B. The magnetic field at 20 cm from the straight wire would be

A.
B/6
B.
B/4
C.
B/3
D.
B/2

Test: BITSAT Mock Test- 9 - Question 14

A thin rectangular magnet suspended freely has a period of oscillation equal to T. Now it is broken into two equal halves (each having half of the original length) and one piece is made to oscillate freely in the same field. If its period of oscillation is T ′ the ratio T ′/T is

A.
B.
1/2
C.
2
D.
1/4

Test: BITSAT Mock Test- 9 - Question 15

A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If entire arrangement is put in a freely elevator, the length of water column in the capillary tube will be

A.
4 cm
B.
8 cm
C.
10 cm
D.
20 cm

Test: BITSAT Mock Test- 9 - Question 16

The ratio of tangential stress to the shearing strain is called

A.
bulk modulus
B.
Poission's ratio
C.
Young's modulus
D.
modulus of rigidity

Test: BITSAT Mock Test- 9 - Question 17

Thiefs car is moving with a speed of 10 ms⁻¹. A police van chasing this car with a speed of 5 ms⁻¹ fires a bullet at the thief's car with muzzle velocity 72 km/h. Find the speed with which the bullet will hit the car.

A.
10 ms⁻¹
B.
20 ms⁻¹
C.
15 ms⁻¹
D.
25 ms⁻¹

Test: BITSAT Mock Test- 9 - Question 18

The angular velocity of a wheel is 70 rad/sec. If the radius of the wheel is 0.5 m, then linear velocity of the wheel is

A.
70 m/s
B.
35 m/s
C.
30 m/s
D.
20 m/s

Test: BITSAT Mock Test- 9 - Question 19

A boy of 50 kg is in a lift moving down with an accleration 9.8 ms⁻². The apparent weight of the body is (g=9.8 ms⁻²)

A.
50 X 9.8 N
B.
Zero
C.
50 N
D.
50/9.8 N

Test: BITSAT Mock Test- 9 - Question 20

A particle of mass m is projected with velocity ν making an angle of 45^o with the horizontal . When the particle lands on the level ground the magnitude of the changes in its momentum will be

A.
zero
B.
2 mν
C.
mν/√2
D.
mν √2

Test: BITSAT Mock Test- 9 - Question 21

A chimpanzee, swinging on a swing in a sitting position, stands up suddenly. The time period will

A.
decrease
B.
increase
C.
remain same
D.
become infinite

Test: BITSAT Mock Test- 9 - Question 22

A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 0.5 m long. The speed of the bob, when the length makes an angle of 60^o to the verticle, will be (If g=10 m/s²)

A.
1/2 m/s
B.
2 m/s
C.
3 m/s
D.
1/3 m/s

Test: BITSAT Mock Test- 9 - Question 23

The resolving power of a telescope depends on

A.
Focal length of eye lens
B.
Focal length of objective lens
C.
Length of the telescope
D.
Diameter of the telescope

Test: BITSAT Mock Test- 9 - Question 24

Three identical metal balls each of radius r are placed touching each other on a horizontal surface such that an equilateral triangle is formed when centers of three balls are joined. The centre of mass of system is located at

A.
Horizontal surface
B.
Centre of one of the balls
C.
Line joining centres of any two balls
D.
Point of intersection of medians

Test: BITSAT Mock Test- 9 - Question 25

Two identical particles move towards eachother with velocity 2ν and ν respectively. The velocity of centre of mass is

A.
ν
B.
ν/3
C.
Zero
D.
ν/2

Test: BITSAT Mock Test- 9 - Question 26

Ratio of K.E. and R.E.in the motion of a disc is

A.
1 : 1
B.
2 : 7
C.
1 : 2
D.
3 : 1

Test: BITSAT Mock Test- 9 - Question 27

On giving 220 V to a resistor the power dissipated is 40 W then value of resistance is

A.
1210 Ω
B.
2000 Ω
C.
1000 Ω
D.
None of these

Test: BITSAT Mock Test- 9 - Question 28

When there is no heat change from surroundings in a system, then the process taking place is

A.
Isobaric
B.
Isochoric
C.
Adiabatic
D.
Isothermal

Test: BITSAT Mock Test- 9 - Question 29

On opening the door of refrigerator, the room temperature

A.
Remains constant
B.
Decreases
C.
Increases
D.
None of these

Test: BITSAT Mock Test- 9 - Question 30

The unit of force is a

A.
basic unit
B.
derived unit
C.
fundamental unit
D.
none of these

Test: BITSAT Mock Test- 9 - Question 31

The golden view of sea shell is due to

A.
diffraction
B.
dispersion
C.
polarisation
D.
reflection

Test: BITSAT Mock Test- 9 - Question 32

In young's double slit experiment, the intensity of central maximum is I. It one slit is closed, the intensity at the same place will become

A.
Half
B.
One - fourth
C.
Double
D.
Four times

Test: BITSAT Mock Test- 9 - Question 33

Through which character we can distinguish the light waves from sound waves?

A.
interference
B.
refraction
C.
polarisation
D.
reflection

Test: BITSAT Mock Test- 9 - Question 34

Two waves are propagating with same amplitude and nearly same frequency. They result in

A.
Beats
B.
Stationary wave
C.
Resonance
D.
Wave packet

Test: BITSAT Mock Test- 9 - Question 35

A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is

A.
0.2 J
B.
10 J
C.
20 J
D.
0.1 J

Test: BITSAT Mock Test- 9 - Question 36

The kinetic energy of a body is four times it momentum. Its velocity is

A.
2 ms^-1
B.
4 ms^-1
C.
8 ms^-1
D.
16 ms^-1

Test: BITSAT Mock Test- 9 - Question 37

The IUPAC name of the an unsymmetrical ether with the molecular formula C₄H₁₀O

A.
Ethoxy propane
B.
Methoxy ethane
C.
Ethoxy ethane
D.
Methoxy propane

Test: BITSAT Mock Test- 9 - Question 38

The energy of second Bohr orbit of hydrogen atom is -328 kJ mol⁻¹, hence energy of fourth Bohr orbit would be

A.
-41 kJ mol⁻¹
B.
-82 kJ mol⁻¹
C.
-164 kJ mol⁻¹
D.
-1312 kJ mol⁻¹

Test: BITSAT Mock Test- 9 - Question 39

Which of the following reagents reacts differently with HCHO, CH₃CHO and CH₃COCH₃?

A.
HCN
B.
NH₂NH₂
C.
NH₂OH
D.
NH₃

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 39

Test: BITSAT Mock Test- 9 - Question 40

Consider the ground state of Cr atom (Z=24), the number of electrons with the azimuthal quantum numbers l=1 and 2 respectively:

A.
12 and 4
B.
12 and 5
C.
16 and 5
D.
16 and 4

Test: BITSAT Mock Test- 9 - Question 41

Which of the following has the smallest heat of hydrogenation per mole?

A.
1-Butene
B.
trans-2-Butene
C.
cis-2-Butene
D.
1,3-Butadiene

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 41 Conjugated double bond being most stable has the least heat of hydrogenation

Test: BITSAT Mock Test- 9 - Question 42

Complete combustion of 0.858 g of compound X gives 2.63 g of CO₂ and 1.28 g of H₂O. The lowest molecular mass X can have

A.
43 g
B.
86 g
C.
129 g
D.
172 g

Test: BITSAT Mock Test- 9 - Question 43

Which of the following does not show electromeric effect?

A.
ethers
B.
ketones
C.
aldehydes
D.
alkenes

Test: BITSAT Mock Test- 9 - Question 44

A

σ

- bond is

A.
weaker than $π$ -bond
B.
stronger than $π$ -bond
C.
the same as $π$ -bond
D.
either A or B

Test: BITSAT Mock Test- 9 - Question 45

The enzyme pepsin hydrolyses

A.
Proteins to amino acids
B.
Fats to fatty acids
C.
Glucose to ethyl alcohol
D.
Polysaccharides to monosaccharides

Test: BITSAT Mock Test- 9 - Question 46

The protein which maintains blood sugar level is

A.
Haemoglobin
B.
Oxytocin
C.
Insulin
D.
Ptyalin

Test: BITSAT Mock Test- 9 - Question 47

Which of the following cannot convert carboxylic acid into its acyl chloride?

A.
PCl₃
B.
SOCl₂
C.
PCl₅
D.
NaCl

Test: BITSAT Mock Test- 9 - Question 48

The bonds in K₄[Fe(CN)₆] are

A.
Ionic
B.
Covalent
C.
Ionic and Covalent
D.
Ionic, covalent and co-ordinate covalent

Test: BITSAT Mock Test- 9 - Question 49

When one mole of the gas is heated at constant volume ,temperature get raised from 298 K to 308 K.Heat supplied to the gas is 500 J.Then which among the following is a correct statements ?

A.
q = W = 500 J ; ΔU = 0
B.
q = ΔU = 500 J ; W= 0
C.
q = ΔW = 500 J ;ΔU=500 J
D.
ΔU = 0; q = W= - 500 J

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 49 As the gas is heated at constant volume. Therefore ΔV = 0, and W = 0 and at the same time q = ΔU

Test: BITSAT Mock Test- 9 - Question 50

The equilibrium constant in a reversible chemical reaction at a given temperature

A.
depends on the initial concentration of the reactants
B.
depends on the concentration of one of the products at equilibrium
C.
does not depend on the initial concentrations of reactants
D.
is not characteristic of the reaction

Test: BITSAT Mock Test- 9 - Question 51

The rate constant is given by the equation K = P Ze^(-E/RT). Which factor should register a decrease for the reaction to proceed more rapidly?

A.
T
B.
Z
C.
E
D.
P

Test: BITSAT Mock Test- 9 - Question 52

The number of periods in the long form of periodic table is

A.
6
B.
7
C.
8
D.
18

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 52 Seven horizontal rows in the periodic table are called periods. These are numbered from 1 to 7.

Test: BITSAT Mock Test- 9 - Question 53

A Carnot engine, working between 500 K to 300 K has a work output of 800 J-cycle⁻¹. What is the amount of heat energy supplied to the engine from the source per cycle?

A.
6 KJ
B.
4 KJ
C.
2 KJ
D.
1 KJ

Test: BITSAT Mock Test- 9 - Question 54

Which of the following is used as an antiseptic?

A.
Phenol
B.
Benzaldehyde
C.
Benzalamine
D.
Malic anhydride

Test: BITSAT Mock Test- 9 - Question 55

Which of the following compounds shows optical isomerism?

A.
[Cu(NH₃)₄]²⁺
B.
[ZnCl₄]²
C.
[Cr(C₂O₄)₃]³⁻
D.
[Co(CN₆)]³⁻

Test: BITSAT Mock Test- 9 - Question 56

Which of the following is a synthetic element?

A.
C
B.
U
C.
Np
D.
Ra

Test: BITSAT Mock Test- 9 - Question 57

Which of the following factors may be regarded as the main cause of lanthanide contraction?

A.
poorer sheilding of 5d electrons by 4f electrons
B.
greater sheilding of 5d electrons by 4f electrons
C.
poor sheilding of one 4f electron by another in the subshell
D.
effective sheilding of one 4f electrons by another in the subshell

Test: BITSAT Mock Test- 9 - Question 58

If specific conductance and conductance of a solution is same, then its cell constant is equal to

A.
0
B.
1
C.
10
D.
100

Test: BITSAT Mock Test- 9 - Question 59

Acidic hydrogens are present in

A.
C₂H₂
B.
C₂H₄
C.
C₆H₆
D.
C₂H₆

Test: BITSAT Mock Test- 9 - Question 60

Among the following compounds (I-III), the correct order in reaction with electrophile is

A.
II > III > I
B.
III < I < II
C.
I > II > III
D.
I = II > III

Test: BITSAT Mock Test- 9 - Question 61

A metal which does not liberate H₂(g) from acids is;

A.
Cu
B.
Fe
C.
Mn
D.
Zn

Test: BITSAT Mock Test- 9 - Question 62

Hydrogenation of the adjoining compound, in the presence of poisonous palladium, catalyst gives

A.
a racemic mixture
B.
a diastereomeric mixture
C.
an optically active compound
D.
an optically inactive compound

Test: BITSAT Mock Test- 9 - Question 63

Phenolphthalein shows which of the following colour in acidic medium?

A.
red
B.
yellow
C.
pink
D.
colourless

Test: BITSAT Mock Test- 9 - Question 64

In SN¹ (Substitution, nucleophilic unimolecular) reaction, the racemization takes place. It is due to

A.
inversion of configuration
B.
retention of configuration
C.
conversion of configuration
D.
both (a) and (b)

Test: BITSAT Mock Test- 9 - Question 65

Sea divers go deep into the sea water with a mixture of which of the following gases?

A.
O₂ and He
B.
O₂ and Ar
C.
O₂ and CO₂
D.
CO₂ and Ar

Test: BITSAT Mock Test- 9 - Question 66

There is no S - S bonds in

A.
S₂O₄²⁻
B.
S₂O₅²⁻
C.
S₂O₃²⁻
D.
S₂O₇²⁻

Test: BITSAT Mock Test- 9 - Question 67

A metal X on heating in nitrogen gas gives Y, Y on treatment with H₂O gives a colourless gas which when passed through CuSO₄ soution gives a blue colour. Y is

A.
Mg(NO₃)₂
B.
Mg₃N₂
C.
NH₃
D.
MgO

Test: BITSAT Mock Test- 9 - Question 68

In graphite C atom is in..........state

A.
sp³
B.
sp
C.
sp²
D.
none of these

Test: BITSAT Mock Test- 9 - Question 69

Which one of the following is not correct for N₂O?

A.
It is called laughing gas
B.
It is nitrous oxide
C.
It is not a linear molecule
D.
It is least reactive of all the oxides of nitrogen

Test: BITSAT Mock Test- 9 - Question 70

Polymers have

A.
absolute molecular weight
B.
average molecular weight
C.
low molecular weight
D.
absolute melting point

Test: BITSAT Mock Test- 9 - Question 71

The number of hydroxide ions produced by one molecule of Na₂CO₃ on hydrolysis

A.
4
B.
2
C.
3
D.
0

Test: BITSAT Mock Test- 9 - Question 72

The compound formed when gypsum is dissolved in aqueous ammonium sulphate solution

A.
CaSO_{4 .}NH₄Cl . H₂O
B.
CaCl_{2 .}NH₄Cl . H₂O
C.
CaSO_{4 .}(NH₄)₂SO₄
D.
CaCl_{2 .}NH₄Cl . 2H₂O

Test: BITSAT Mock Test- 9 - Question 73

The osmotic pressure of 5% (mass-volume) solution of cane sugar at 150^oC (mol. mass of sugar = 342) is

A.
4 atm
B.
5.07 atm
C.
3.55 atm
D.
2.45 atm

Test: BITSAT Mock Test- 9 - Question 74

The temperature below which a gas does not exist is called its

A.
Inversion temperature
B.
Critical temperature
C.
Neutral temperature
D.
Curie point

Test: BITSAT Mock Test- 9 - Question 75

A metal oxide is reduced by heating it in a stream of hydrogen. It is found that after complete reduction, 3.15 g of the oxide has yielded 1.05 g of the metal. We may deduce that

A.
The atomic weight of the metal is 8
B.
The atomic weight of the metal is 4
C.
The equivalent weight of the metal is 4
D.
The equivalent weight of the metal is 8

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 75

Test: BITSAT Mock Test- 9 - Question 76

The bleeding on a wound is stopped by the application of ferric chloride due to

A.
ferric chloride seals the blood vessels
B.
blood starts flowing in the opposite direction
C.
blood is coagulated and the blood vessels are sealed
D.
blood reacts and a solid is formed which seals the blood vessels

Test: BITSAT Mock Test- 9 - Question 77

The area bounded by the curve y = x³, the x-axis and the ordiantes at x = -2 and x = 1 is

A.
9/2
B.
15/2
C.
15/4
D.
17/4

Test: BITSAT Mock Test- 9 - Question 78

The equation of the circle whose centre is (3,-1) and cut the chord of length of 6 units from the line 2x-5y+18=0 is

A.
(x-3)²+(y+1)²=38
B.
(x+3)²+(y-1)²=38
C.
(x-3)²+(y+1)²=√38
D.
(x-3)²+(y-1)²=38

Test: BITSAT Mock Test- 9 - Question 79

The locus of the centre of the circle which cuts circles x²+y²+2g₁x+2f₁y+c₁=0 and x²+y²+2g₂x+2f₂y+c₂=0 orthogonally, is

A.
an ellipse
B.
a circle
C.
radical axis of given circles
D.
a conic

Test: BITSAT Mock Test- 9 - Question 80

If arg (z) = θ, then arg(z̅) =

A.
θ
B.
-θ
C.
π - θ
D.
θ - π

Test: BITSAT Mock Test- 9 - Question 81

The differential equation for all family of lines which are at a unit distance from the origin is

A.
[(y)-(x(dy/dx))]²=1-(dy/dx)²
B.
[(y)+(x(dy/dx))]²=1+(dy/dx)²
C.
[(y)-(x(dy/dx))]²=1+(dy/dx)²
D.
[(y)+(x(dy/dx))]²=1-(dy/dx)²

Test: BITSAT Mock Test- 9 - Question 82

The order and degree of the differential equation d²y/dx² + (dy/dx)¹/³ + x¹=0 are respectively

A.
2,3
B.
3,3
C.
2,6
D.
2,4

Test: BITSAT Mock Test- 9 - Question 83

The solution of differential equation (dy/dx)=[(x(2logx+1))/(siny+ycosy)] is

A.
ysiny=x²logx+(x²/2)+c
B.
ycosy=x²(logx+1)+c
C.
ycosy=x²logx+(x²/2)+c
D.
ysiny=x²logx+c

Test: BITSAT Mock Test- 9 - Question 84

If cos(x+y)=y sinx, (dy/dx)=

A.
-[((sin(x+y))+(y cosx))/((sinx)+(sin(x+y)))]
B.
[((sin(x+y))+(y cosx))/((sinx)+(sin(x+y)))]
C.
[((y cosx)-(sin(x+y)))/((sinx)-(sin(x+y)))]
D.
none of these

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 84

Test: BITSAT Mock Test- 9 - Question 85

If y = √(sin x + y), then dy/dx =

A.
sin x/(2y - 1)
B.
sin x/(1 - 2y)
C.
cos x/(1 - 2y)
D.
cos x/(2y - 1)

Test: BITSAT Mock Test- 9 - Question 86

The sum of the series 2/1! + 4/3! + 6/5! + .....∞ equals

A.
e
B.
-e
C.
1/e
D.
none of these

Test: BITSAT Mock Test- 9 - Question 87

The angle of elevation of the sun, if the length of the shadow of a tower is √3 times the height of the tower, is

A.
30^o
B.
60^o
C.
45^o
D.
150^o

Test: BITSAT Mock Test- 9 - Question 88

The foci of the ellipse x²/16 + y²/b² = 1 and the hyperbola x²/144 - y²/81 = 1/25 coincide, then the value of b² is

A.
1
B.
5
C.
7
D.
9

Test: BITSAT Mock Test- 9 - Question 89

The area of the region bounded by the curve y = x - x² between x = 0 and x = 1 is

A.
1/6
B.
1/3
C.
1/2
D.
5/6

Test: BITSAT Mock Test- 9 - Question 90

The order and degree of the differential equation (d⁴y/dx⁴) = y + (dy/dx)⁴ are respectively

A.
2, 4
B.
4, 1
C.
4, 2
D.
2, 2

Test: BITSAT Mock Test- 9 - Question 91

If sin⁻¹x+sin⁻¹y=(2π/3), then cos⁻¹x+cos⁻¹y=

A.
2π/3
B.
π/3
C.
π/6
D.
π

Test: BITSAT Mock Test- 9 - Question 92

The domain of the function f(x) = √(2 - 2x - x²) is

A.
-3 ≤ x ≤ √3
B.
-1 - √3 ≤ x ≤ - 1 + √3
C.
-2 ≤ x ≤ 2
D.
None of these

Test: BITSAT Mock Test- 9 - Question 93

(1/1)+(1/(1+2))+(1/(1+2+3))+...up to (n+1) terms is equal to

A.
[(n)/(n+1)]
B.
[(2n)/(n+1)]
C.
[(2)/(n(n+1))]
D.
[(2n)/(n+2)]

Test: BITSAT Mock Test- 9 - Question 94

The equation
x + 2y + 3z = 1
x - y + 4z = 0
2x + y + 7z = 1 have

A.
only one solution
B.
only two solutions
C.
no solution
D.
infinitely many solutions

Test: BITSAT Mock Test- 9 - Question 95

If A is a singular matrix, then Adj A is

A.
singular
B.
non-singular
C.
symmetric
D.
not defined

Test: BITSAT Mock Test- 9 - Question 96

A window of fixed perimeter (including the base of the arc) is in the form of a rectangle surmounted by a semi-circle. The semi-circular portion is fitted with coloured glass while the rectangular part is fitted with clear glass. The clear glass transmits three times as much light per square metre as the coloured glass does. The ratio of the sides of the rectangle so that the window transmits the maximum light is

A.
[(π+6)/π]
B.
[π/(π+6)]
C.
[6/(π+6)]
D.
[(π+6)/6]

Test: BITSAT Mock Test- 9 - Question 97

If angle between the lines 2x²+5xy+3y²+6x+7y+4=0 is tan⁻¹m, the value of m is

A.
1/5
B.
1
C.
5
D.
-(1/5)

Test: BITSAT Mock Test- 9 - Question 98

On the parabola y² = 8 x if one extremity of a focal chord is 1 ∕ 2, − 2 then its other extremity is

A.
(2, 2)
B.
1 ∕ 8, − 8
C.
(8, 1/8)
D.
(8, 8)

Test: BITSAT Mock Test- 9 - Question 99

The parabola y²=x is symmetric about

A.
x-axis
B.
y-axis
C.
both x and y-axis
D.
the line y=x

Test: BITSAT Mock Test- 9 - Question 100

The number of 7 digit numbers which can be formed using the digits 1, 2, 3, 2, 3, 3, 4 is

A.
420
B.
840
C.
2520
D.
5040

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 100 There are 7 digits 1, 2, 3, 2, 3, 3, 4 in which 2 occurs 2 times and 3 occurs 3 times
Number of 7 digit numbers
=

\frac{7!}{2! 3!}

= 420

Test: BITSAT Mock Test- 9 - Question 101

Everybody in a room shakes hands with every body else. The total number of hand shakes is 66. Then the number of persons in the room is

A.
11
B.
12
C.
13
D.
14

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 101

Test: BITSAT Mock Test- 9 - Question 102

A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. A coin is taken out from any purse. The probability that it is a copper coin is

A.
4/7
B.
37/56
C.
3/7
D.
3/4

Test: BITSAT Mock Test- 9 - Question 103

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is

A.
3/4
B.
1/2
C.
2/3
D.
1/3

Test: BITSAT Mock Test- 9 - Question 104

If in a ΔABC , 3a = b + c then tan B/2 • tan C/2 is equal to

A.
tan A/ 2
B.
1
C.
2
D.
none of these

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 104

Test: BITSAT Mock Test- 9 - Question 105

A.
1/4
B.
1/3
C.
3
D.
4

Test: BITSAT Mock Test- 9 - Question 106

Remainder of x⁶⁴+x²⁷+1 divided by x+1, is

A.
0
B.
2
C.
1
D.
3

Test: BITSAT Mock Test- 9 - Question 107

The coefficient of x³ in the expansion of (x/(e^x - 1)) is

A.
1/2
B.
1/6
C.
0
D.
1/3

Test: BITSAT Mock Test- 9 - Question 108

If the third term of an A.P. is 12 and the seventh term is 24, then the 10th term is

A.
36
B.
30
C.
39
D.
33

Test: BITSAT Mock Test- 9 - Question 109

On the set Z of all integers define f : Z → Z as follows :
f (x) = {x/2 if x is even} {0 if x is odd}, then f is

A.
onto but not one - one
B.
one - one and onto
C.
one - one but not onto
D.
into

Test: BITSAT Mock Test- 9 - Question 110

In Rule Method the null set is represented by

A.
{}
B.
φ
C.
{x:x = x}
D.
{x:x ≠ x}

Test: BITSAT Mock Test- 9 - Question 111

For what value of a line x = 3, y = 4 and 4x - 3y + a = 0 are con-current.

A.
0
B.
-1
C.
2
D.
3

Test: BITSAT Mock Test- 9 - Question 112

The angle between the curves x² = 4y, y² = 4x at (4, 4) is

A.
B.
C.
π/2
D.
π/4

Test: BITSAT Mock Test- 9 - Question 113

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is

A.
7/2
B.
5/2
C.
3/2
D.
9/2

Test: BITSAT Mock Test- 9 - Question 114

If a line makes the angles α,β and γ with the axes respectively, then cos 2α+cos2β+cos 2γ

A.
-2
B.
-1
C.
1
D.
2

Test: BITSAT Mock Test- 9 - Question 115

The roots of the equation: 1-cosθ=sinθ.sin(θ/2) is

A.
nπ, n∈I
B.
2nπ, n∈I
C.
n(π/2), n∈I
D.
none of these

Test: BITSAT Mock Test- 9 - Question 116

If cotθ+tanθ=2cosecθ, the general value of θ is

A.
B.
C.
D.

Test: BITSAT Mock Test- 9 - Question 117

If a cos θ + b sin θ = c then a sin θ − b cos θ²=

A.
c² - a² - b²
B.
c² - a² + b²
C.
a² - b² + c²
D.
a² + b² - c²

Test: BITSAT Mock Test- 9 - Question 118

If vectors 2i+j+k and i-4j+λk are perpendicular, then λ=

A.
4
B.
-5
C.
2
D.
1

Test: BITSAT Mock Test- 9 - Question 119

The vector equals

A.
B.
C.
D.

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 119

Test: BITSAT Mock Test- 9 - Question 120

Find the Antonym of the word occurring in the sentence in capital letter as per the context.
Because of the failure of the monsoon, there was PAUCITY of foodgrains.

A.
overflow
B.
inflow
C.
plenty
D.
glut

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 120 Meaning of Paucity
Smallness of number; fewness
Scarcity; dearth
Synonyms : Scarcity, lack, shortage, rarity, insufficiency
Antonyms : abundance, affluence, plenty

Test: BITSAT Mock Test- 9 - Question 121

Find the Antonym of RISIBLE

A.
absurd
B.
entertaining
C.
serious
D.
grotesque

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 121 Meaning of the word ‘Risible is fit to be laughed at. Hence ‘Serious’ is the most suitable antonym of the given word. However, grotesque means comically or repulsively ugly or distorted.

Test: BITSAT Mock Test- 9 - Question 122

Fill in the blank with appropriate word.
By this time next year Rajesh will ....... his University Degree in Marketing Management.

A.
has taken
B.
had taken
C.
have took
D.
have taken

Test: BITSAT Mock Test- 9 - Question 123

Fill in the blank with appropriate word.
The chief guest's speech was so.........that I was all ears.

A.
intricate
B.
interminable
C.
interesting
D.
indeterminate

Test: BITSAT Mock Test- 9 - Question 124

Choose the one which can be substituted for the given words/sentences :
Prossessing unlimited powers

A.
Omniscient
B.
Omnipotent
C.
Omnipresent
D.
Omnicompetent

Test: BITSAT Mock Test- 9 - Question 125

Choose the one which can be substituted for the given words/sentences
A fixed orbit in space in relation to earth.

A.
Geological
B.
Geo-synchronous
C.
Geo-centric
D.
Geo-stationary

Test: BITSAT Mock Test- 9 - Question 126

Spot the error.

A.
The famous poet and the scholar
B.
Suman has been ailing for
C.
the last one month
D.
No error

Test: BITSAT Mock Test- 9 - Question 127

Spot the error.

A.
Pieces of rock plummeted
B.
down the mountainside
C.
in the ground below
D.
No error

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 127 replace ‘in’ with ‘on’

Test: BITSAT Mock Test- 9 - Question 128

Spot the error.

A.
Even on the eve of an inevitable fall,
B.
to everyone's dismay,
C.
there leaders seems to be in their elements
D.
No error

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 128 The correct statement is 'their leaders seems to be in their elements'

Test: BITSAT Mock Test- 9 - Question 129

Find the Synonym of the word occurring in the sentence in capital letter as per the context.
The queen was aware of the INSOLENT behaviour of lords.

A.
Violent
B.
Polite
C.
Insulting
D.
Frivolous

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 129 'Insolent' means rude and showing lack of respect

Test: BITSAT Mock Test- 9 - Question 130

Find the synonym of LATENT .

A.
concealed
B.
apparent
C.
lethargic
D.
prompt

Test: BITSAT Mock Test- 9 - Question 131

Choose the word which is least like the other words in the group .

A.
Arc
B.
Diagonal
C.
Tangent
D.
Radius

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 131 All except Diagonal are terms associated with circle

Test: BITSAT Mock Test- 9 - Question 132

Complete the analogous pair.
Advance : Progress :: Grow : ?

A.
Develop
B.
Increase
C.
Shoot up
D.
Sprout

Test: BITSAT Mock Test- 9 - Question 133

Group the following figures into three classes on the basis of identical properties.

A.
1,2,6 ; 3,4,7 ; 5
B.
1,3 ; 2,6 ; 4,5,7
C.
1,2,6,7 ; 3 ; 4,5
D.
1,3 ; 2,4,5 ; 6,7

Test: BITSAT Mock Test- 9 - Question 134

Find the missing character.

A.
9
B.
13
C.
15
D.
16

Detailed Solution for Test: BITSAT Mock Test- 9 - Question 134

In the first column, 17-11=25-19=6.
In the second column, 12-6=34-28=6.
Let the missing number in the third column be x.
Then, x-8=19-11=8 or x=16.

Test: BITSAT Mock Test- 9 - Question 135

Find out the term in the number series which is wrong.
3, 2, 8, 9, 13, 22, 18, 32, 23, 42

A.
8
B.
9
C.
13
D.
22

Test: BITSAT Mock Test- 9 - Question 136

The ratio of energy of emitted radiation of a black body at 27^oC and 927^oC is

A.
1 : 4
B.
1 : 16
C.
1 : 64
D.
1 : 256

Test: BITSAT Mock Test- 9 - Question 137

In each question, three sequences of letters/numerals are given which correspond to each other. Find out the letters/numerals that come in vacant places.
A _ B A C _ D _ B C D C
_ 3 _ 2 _ 1 _ 4 ? ? ? ?
d c _ _ b a c b _ _ _ _

A.
1, 3, 4, 3
B.
1, 4, 3, 4
C.
2, 3, 4, 3
D.
3, 4, 1, 4

Test: BITSAT Mock Test- 9 - Question 138

If a piston is pushed rapidly into a container of gas, what will happen to the kinetic energy of the molecules of gas and to the temperature of the gas

A.
Both will increase
B.
Kinetic energy increases but the temperature remains unchanged
C.
Kinetic energy increases while the temperature decreases
D.
Kinetic energy is unchanged while the temperature increases

Test: BITSAT Mock Test- 9 - Question 139

If the radius of a soap bubble is four times that of another, then the ratio of their pressures will be

A.
1 : 4
B.
4 : 1
C.
16 : 1
D.
1 : 16

Test: BITSAT Mock Test- 9 - Question 140

The focal lengths of the objective and eye lenses of a telescope are 200 cm and 5 cm respectively. The maximum power of the telescope will be

A.
40
B.
48
C.
60
D.
100

Test: BITSAT Mock Test- 9 - Question 141

If A is a singular matrix, then Adj A is

A.
singular
B.
non-singular
C.
symmetric
D.
not defined

Test: BITSAT Mock Test- 9 - Question 142

If n = 4m + 3, m ∈ I, then i ⁿ is equal to

A.
i
B.
-i
C.
-1
D.

150 Questions MCQ Test | Test: BITSAT Mock Test- 9

A radioactive substance emits

Electromagnetic radiation

Electrons revolving around the nucleus

Charged particles

Both (a) and (c)

If M = mass, L =length,T =time and I = electric current then the dimensional formula for electrical resistance R is given by

When the speed of electrons increases, then the value of its specific charge

Increases

Decreases

Remains unchanged

Increases upto some velocity and then begins to decrease

Each of these increases

Each of these decreases

Copper strip increases and that of germanium decreases

Copper strip decreases and that of germanium increases

2/9 λ

9/2 λ

5/27 λ

27/5 λ

To fall through electric potential

To move in high magnetic field

To fall from great heights

To pass through lead blocks

20 watts

40 watts

1000 watts

0 watt

1

0

2

3

4π q/6(4πε₀)

π q/6(4πε₀)

q/6(4πε₀)

2q/6(4πε₀)

Friction of ice is large

Larger normal reaction

Friction of ice is small

Smaller normal reaction

10 h

20 h

40 h

80 h

B/6

B/4

B/3

B/2

4 cm

8 cm

10 cm

20 cm

bulk modulus

Poission's ratio

Young's modulus

modulus of rigidity

70 m/s

35 m/s

30 m/s

20 m/s

decrease

increase

remain same

become infinite

Focal length of eye lens

Focal length of objective lens

Length of the telescope

Diameter of the telescope

Horizontal surface

Centre of one of the balls

Line joining centres of any two balls

Point of intersection of medians

ν

ν/3

Zero

ν/2

1 : 1

2 : 7

1 : 2

2 ms^-1

4 ms^-1

8 ms^-1

16 ms^-1

weaker than $π$ -bond

stronger than $π$ -bond

the same as $π$ -bond