Test: BITSAT Mock Test- 5

Test: BITSAT Mock Test- 5 - Question 1

In a purely resistive A.C. circuit, the current

A.
Lags behind the e.m.f. in phase
B.
Is in phase with the e.m.f.
C.
Leads the e.m.f in phase
D.
Leads the e.m.f. in half the cycle and lags behind it in the other half

Test: BITSAT Mock Test- 5 - Question 2

A radioactive substance has a half-life of 1 year. The fraction of this material, that would remain after 5 years will be

A.
1/32
B.
1/5
C.
1/2
D.
4/5

Test: BITSAT Mock Test- 5 - Question 3

In Bohr's model, the atomic radius of the first orbit is r₀ then the radius of the third orbit is

A.
r₀/9
B.
r₀
C.
9r₀
D.
3r₀

Test: BITSAT Mock Test- 5 - Question 4

Two rods of same material and length have their electric resistance in ratio 1:2. When both rods are dipped in water, the correct statement will be

A.
A has more loss of weight
B.
B has more loss of weight
C.
Both have same loss of weight
D.
Loss of weight will be in ratio 1:2

Test: BITSAT Mock Test- 5 - Question 5

An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectively

A.
q.E and p.E
B.
q.E and maximum
C.
2q.E and minimum
D.
zero and minimum

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 5

Test: BITSAT Mock Test- 5 - Question 6

A body of mass 1g and carrying a charge 10⁻⁸ C passes from two points P and Q. P and Q are at electric potentials 600V and 0V respectively. The velocity of the body at Q is 20 cms⁻¹ . Its velocity in ms⁻¹ at P is

A.
√0 • 028
B.
√0 • 056
C.
√0 • 56
D.
√5 • 6

Test: BITSAT Mock Test- 5 - Question 7

The resistance of an ammeter is 13

Ω

and its scale is graduated for a current upto 100 A. After an additional shunt has been connected to this ammeter it becomes possible to measure currents upto 750 A by this meter. The value of shunt resistance is

A.
20 $Ω$
B.
2 $Ω$
C.
0.2 $Ω$
D.
2k $Ω$

Test: BITSAT Mock Test- 5 - Question 8

A metal plate gets heated, when cathode rays against it, due to

A.
kinetic energy of cathode rays
B.
potential energy of cathode rays
C.
linear velocity of cathode rays
D.
angular velocity of cathode rays

Test: BITSAT Mock Test- 5 - Question 9

During X-ray formation if voltage is increased

A.
Minimum wavelength decreases
B.
Minimum wavelength increases
C.
Intensity decreases
D.
Intensity increases

Test: BITSAT Mock Test- 5 - Question 10

A capacitor of capacity C has reactance X. If capacitance and frequency become double, then reactance will be

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

Test: BITSAT Mock Test- 5 - Question 11

A car having a mass of 1000 kg is moving at a speed of 30 metres/sec. Brakes are applied to bring the car to rest. If the frictional force between the tyres and the road surface is 5000 newtons, the car will come to rest in

A.
5 seconds
B.
10 seconds
C.
12 seconds
D.
6 seconds

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 11

Test: BITSAT Mock Test- 5 - Question 12

Time period of revolution of a satellite around a planet of radius R is T. Period of revolution around another planet, whose radius is 3R but having same density is

A.
T
B.
3T
C.
9T
D.
3√3T

Test: BITSAT Mock Test- 5 - Question 13

A body cools from 60^oC to 50^oC in 10 minutes. If the room temperature is 25^oC and assuming Newton's law of cooling to hold good, the temperature of the body at the end of the next 10 minutes will be

A.
38.5^oC
B.
40^oC
C.
42.85^oC
D.
45^oC

Test: BITSAT Mock Test- 5 - Question 14

Kinetic theory of gases was put forward by

A.
Einstein
B.
Newton
C.
Maxwell
D.
Raman

Test: BITSAT Mock Test- 5 - Question 15

A sphere of radius r is falling in a viscous fluid. The terminal velocity attained by the falling sphere will be proportional to

A.
r
B.
r²
C.
1/r
D.
1/r²

Test: BITSAT Mock Test- 5 - Question 16

A uniform plank of Young's modulus Y, is moved over a smooth horizontal surface by a constant horizontal force F. The area of cross-section of plank is A. The compressive strain on the plank in the direction of the force is

A.
F/AY
B.
2F/AY
C.
F/2AY
D.
3F/AY

Test: BITSAT Mock Test- 5 - Question 17

Raindrops are falling from a certain height. Assume all raindrops are spherical and have same drag coefficient. The impact speed of large raindrops compared to that of small raindrops is

A.
Greater
B.
Smaller
C.
Same
D.
Depends on height

Test: BITSAT Mock Test- 5 - Question 18

In a vibration magnetometer, the time-period of magnets when the identical poles are in the same directon is 3 s. When the polarity of weaker magnet is reversed, the combination makes 15 oscillations per minute. The ratio of magnetic moments of the magnets is

A.
9:16
B.
16:9
C.
7:25
D.
25:7

Test: BITSAT Mock Test- 5 - Question 19

An aeroplane is moving with horizontal velocity u at height h. The velocity of a packet dropped from it on the earth's surface will be (g is acceleration due to gravity)

A.
√u²+2gh
B.
√2gh
C.
2 gh
D.
√u²-2gh

Test: BITSAT Mock Test- 5 - Question 20

In the moving coil galvanometer the deflection is proportional to

A.
Potential difference
B.
Current
C.
Charge
D.
None

Test: BITSAT Mock Test- 5 - Question 21

If a cycle wheel of radius 4 m completes one revolution in two seconds. Then acceleration of the cycle will be

A.
π² m/s²
B.
2π² m/s²
C.
4π² m/s²
D.
8π² m/s²

Test: BITSAT Mock Test- 5 - Question 22

A particle covers 50 m distance when projected with an initial speed. On the same surface it will cover a distance, when projected with double the initial speed

A.
100 m
B.
150 m
C.
200 m
D.
250 m

Test: BITSAT Mock Test- 5 - Question 23

Two springs of the same material and same length have their tensions in the ratio 4:1 and redil in the ratio 2:1. The ratio of their fundamental frequencies is

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

Test: BITSAT Mock Test- 5 - Question 24

The magnifying power of a telescope is m. If focal length of its eye lens is halved, the magnifying power will become

A.
2 m
B.
3 m
C.
4 m
D.
5 m

Test: BITSAT Mock Test- 5 - Question 25

If the force on a rocket moving with a velocity of 300 m/s is 210 N. then the rate of combustion of the fuel is

A.
0.7 kg/s
B.
1.4 kg/s
C.
0.07 kg/s
D.
10.7 kg/s

Test: BITSAT Mock Test- 5 - Question 26

If a simple harmonic motion is represented by d²x/dt² + αx = 0, its time period is

A.
2πa
B.
2π√α
C.
2π/α
D.
2π/√α

Test: BITSAT Mock Test- 5 - Question 27

The angle of minimum deviation for an incident light ray on an equilateral prism is equal to its refracting angle. The refractive index of its material is

A.
B.
C.
D.

Test: BITSAT Mock Test- 5 - Question 28

Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is (mass of the ring = m and radius= r)

A.
1/2 mr²
B.
mr²
C.
3/2 mr²
D.
2mr²

Test: BITSAT Mock Test- 5 - Question 29

A ring and a disc have the same mass and radius. The ratio of their moment of inertia about their axis is

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

Test: BITSAT Mock Test- 5 - Question 30

Masses 8, 2, 4, 2 kg are placed at the corners A, B, C, D respectively of a square ABCD of diagonal 80 cm. The distance of centre of mass from A will be

A.
20 cm
B.
30 cm
C.
40 cm
D.
60 cm

Test: BITSAT Mock Test- 5 - Question 31

If a high power heater is connected to electric mains, then the bulbs in the house become dim, because there is a

A.
Current drop
B.
Potential drop
C.
No current drop
D.
No potential drop

Test: BITSAT Mock Test- 5 - Question 32

A liquid of mass m and specific heat S is heated to a temperature T. Another liquid of mass m/2 and specific heat 2S is heated to a temperature 2T. If these two liquids are mixed, the resultant temperature of the mixture

A.
B.
C.
D.

Test: BITSAT Mock Test- 5 - Question 33

A process in which volume remains constant is called

A.
Isobaric
B.
Isothermal
C.
Isochoric
D.
None of these

Test: BITSAT Mock Test- 5 - Question 34

Which of the following pairs of physical quantities has the same dimensions

A.
Work and energy
B.
Momentum and energy
C.
Force and power
D.
Work and power

Test: BITSAT Mock Test- 5 - Question 35

A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is

A.
Zero
B.
π
C.
π/2
D.
2 π

Test: BITSAT Mock Test- 5 - Question 36

The superposition principle applies to

A.
Mechanical waves
B.
Electromagnetic waves
C.
Both A and B
D.
None of these

Test: BITSAT Mock Test- 5 - Question 37

The number of beats produced per second by the vibrations x₁ = a sin 320 π t and x₂ = a sin 326 π t is

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

Test: BITSAT Mock Test- 5 - Question 38

The momentum of a body is increased by 100% then its KE increases by

A.
300%
B.
200%
C.
100%
D.
50%

Test: BITSAT Mock Test- 5 - Question 39

A toy gun uses a spring of force constant k. When charged before being triggered in the upward direction, the spring is compressed by a distance x. If mass of the shot is m, then on being triggered it will go upto a height of

A.
kx²/mg
B.
x²/kmg
C.
kx²/2mg
D.
(kx²)/mg

Test: BITSAT Mock Test- 5 - Question 40

Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it is

A.
20
B.
80
C.
40
D.
120

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 40

This will happen for fundamental mode of vibration as shown in the figure
Here, λ /2 = 40
∴ λ = 80 cm

Test: BITSAT Mock Test- 5 - Question 41

Epichlorohydrin is

A.
3-Chloropropane
B.
3-Chloropropane-1-ol
C.
3-Chloro-1, 2-epoxypropane
D.
None of these

Test: BITSAT Mock Test- 5 - Question 42

Cannizzaro's reaction is not given by

A.
(CH₃)₃C.CHO
B.
CH₃CH₂CHO
C.
CCl₃CHO
D.
C₆H₅CHO

Test: BITSAT Mock Test- 5 - Question 43

Which one of the following statements is not correct

A.
Rydberg's constant and wave number have same units
B.
Lyman series of hydrogen spectrum occurs in the ultraviolet region
C.
The angular momentum of the electron in the ground state of hydrogen atom is equal to h/2π
D.
The radius of first Bohr orbit of hydrogen atom is 2.116 * 10⁻⁸ cm

Test: BITSAT Mock Test- 5 - Question 44

The nitride ion in lithium nitrate is composed of

A.
7 p + 7 e
B.
10 p + 7 e
C.
7 p + 10 e
D.
10 p + 10 e

Test: BITSAT Mock Test- 5 - Question 45

How many atoms are contained in one mole of sucrose (C₁₂H₂₂O₁₁)?

A.
45 * 6.02 * 10²³ atoms/mole
B.
5 * 6.62 * 10²³ atoms/mole
C.
5 * 6.02 * 10²³ atoms/mole
D.
None of these

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 45

C₁₂H₂₂O₁₁ contains a total of 45 atoms ≅ 45 * 6.02 * 10²³ atoms/mole

Test: BITSAT Mock Test- 5 - Question 46

0.126 g of acid required 20 mL of 0.1 N NaOH for complete neutralisation. The equivalent mass of an acid is

A.
45
B.
53
C.
40
D.
63

Test: BITSAT Mock Test- 5 - Question 47

Which of the following does not show electromeric effect?

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

Test: BITSAT Mock Test- 5 - Question 48

IUPAC name of CH₃-O-C₂H₅ is

A.
methoxy ethane
B.
dimethyl ether
C.
ethyl methyl ether
D.
methyl ethyne ether

Test: BITSAT Mock Test- 5 - Question 49

Night blindness is caused by the deficiency of

A.
vitamin A
B.
vitamin C
C.
vitamin E
D.
vitamin B₁₂

Test: BITSAT Mock Test- 5 - Question 50

A sugar, that is not a disaccharide, among the following is

A.
lactose
B.
galactose
C.
sucrose
D.
maltose

Test: BITSAT Mock Test- 5 - Question 51

The acid showing salt like character in aqueous solutions is

A.
Acetic acid
B.
Benzoic acid
C.
Formic acid
D.
α-Aminoacetic acid

Test: BITSAT Mock Test- 5 - Question 52

Tetrahedral nature of bonding in Carbon atom was first shown by

A.
Kekule
B.
Vant Hoff's and Le Bell
C.
Lewis
D.
Pasteur

Test: BITSAT Mock Test- 5 - Question 53

What is the entropy change (in JK⁻¹ mol⁻¹) When one mol of ice is converted into water at 0^oC. The enthalpy change for the conversion of ice to liquid water is 6.0 KJ mol⁻¹ at )0^oC.

A.
21.98
B.
20.13
C.
2.013
D.
2.193

Test: BITSAT Mock Test- 5 - Question 54

A Schematic plot of ln K (eq) versus inverse of temperature for a reaction is shown below

The reaction must be

A.
highly spontaneous at ordinary temperature
B.
one with negligible enthalpy change
C.
endothermic
D.
exothermic

Test: BITSAT Mock Test- 5 - Question 55

The time taken for 90% of a first order reaction to complete is approximately

A.
1•1 times that of half-life
B.
2•2 times that of half-life
C.
3•3 times that of half-life
D.
4•4 times that of half-life

Test: BITSAT Mock Test- 5 - Question 56

Which of the following has largest radius

A.
Mg⁺²
B.
Na⁺
C.
O^-2
D.
F ^-

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 56 As the number of electrons in an atom decreases, the effective nuclear charge or attractive force on the outer electrons increases whereas if the number of electrons increases, the effective nuclear charge decreases. Thus, the cation with highest charge always possess smallest ionic size and anion with highest charge always possess largest ionic size.

Test: BITSAT Mock Test- 5 - Question 57

The intensive property among these quantities is

A.
mass
B.
volume
C.
enthalpy
D.
mass/volume

Test: BITSAT Mock Test- 5 - Question 58

The rotenone is

A.
a bioherbicide
B.
a natural weedicide
C.
a rodenticide
D.
a natural insecticide

Test: BITSAT Mock Test- 5 - Question 59

Potassium dichromate is obtained from which of the following ore?

A.
MnO₂
B.
Fe₂O₃
C.
Na₂CrO₄
D.
FeCr₂O₄

Test: BITSAT Mock Test- 5 - Question 60

In the silver plating of copper, K[Ag(CN)₂] is used insead of AgNO₃. The reason is

A.
A thin layer of Ag is formed on Cu
B.
More voltage is required
C.
Ag⁺ ions are completely removed from solution
D.
Less availablity of Ag⁺ ions, as Cu cannot displace Ag from [Ag(CN)₂]⁻ ion.

Test: BITSAT Mock Test- 5 - Question 61

Super-conductors are derived from the compounds of

A.
alkali metals
B.
lanthanides
C.
actinides
D.
transition metals

Test: BITSAT Mock Test- 5 - Question 62

The current in a given wire is 1.8 A. A charge passed through the wire in 1.36 minutes is

A.
100 C
B.
147 C
C.
247 C
D.
347 C

Test: BITSAT Mock Test- 5 - Question 63

When toluene is treated with KMnO₄,what is produced ?

A.
benzene
B.
chlorobenzene
C.
benzaldehyde
D.
benzoic acid

Test: BITSAT Mock Test- 5 - Question 64

The compound which reacts with HBr obeying Markownikeff's rule is

A.
CH₂=CH₂
B.
C.
D.

Test: BITSAT Mock Test- 5 - Question 65

Heavy water is

A.
Water containing sulphate of calcium and magnesium
B.
Water containing ions of the salt of heavy metals
C.
Water at 4^oC
D.
Deuterium oxide.

Test: BITSAT Mock Test- 5 - Question 66

If H₂S is passed in ZnSO₄ containing HCl,Zinc sulphide is not precipitated because K_sp of

A.
Zinc sulphide is not exceeded
B.
hydrogen sulphide is not exceeded
C.
both the sulphides is decreased
D.
both zinc sulphide and H₂S are decreased

Test: BITSAT Mock Test- 5 - Question 67

A complete hydrolysis of cellulose gives

A.
D-fructose
B.
D-ribose
C.
D-glucose
D.
L-glucose

Test: BITSAT Mock Test- 5 - Question 68

Nitrogen dioxide

A.
Dissolves in water forming HNO₃
B.
Does not dissolve in water
C.
Dissolves in water to form HNO₂ and gives off O₂
D.
Dissolves in water to form a mixture of nitrous and nitric acids

Test: BITSAT Mock Test- 5 - Question 69

The hybridized state of N in R₂NH is

A.
sp²
B.
sp³
C.
sp
D.
dsp³

Test: BITSAT Mock Test- 5 - Question 70

If chloroform is left open in air in presence of sun rays

A.
explosion takes place
B.
poisonous gas, phosgene is formed
C.
polymerisation takes place
D.
no reaction takes place

Test: BITSAT Mock Test- 5 - Question 71

Antidote for carbon monoxide poisoning is

A.
carbogen
B.
carborundum
C.
carbon dioxide
D.
carbonyl chloride

Test: BITSAT Mock Test- 5 - Question 72

Which of the following statements is false?

A.
Boron trifluoride is a strong Lewis base
B.
Aluminium is a good reducing agent
C.
Boron resembles in many properties with silicon
D.
Boron does not form B³⁺ ions

Test: BITSAT Mock Test- 5 - Question 73

N₂ and CO are

A.
isomers
B.
isoelectronic
C.
isotopes
D.
isobars

Test: BITSAT Mock Test- 5 - Question 74

NaHCO₃ is prepared by

A.
Solvay process
B.
Bosch process
C.
Dow process
D.
None of these

Test: BITSAT Mock Test- 5 - Question 75

The fibre obtained by the condensation of hexamethylene diamine and adipic acid is

A.
dacron
B.
nylon 66
C.
rayon
D.
teflon

Test: BITSAT Mock Test- 5 - Question 76

Electrochemical process (electrolysis of fused salt) is employed to extract

A.
Iron
B.
Lead
C.
Sodium
D.
Silver

Test: BITSAT Mock Test- 5 - Question 77

The lowering in vapour pressure, caused by the addition of 100 g of surcose (molecular weight = 342) in 1000 g of water, if the vapour pressure of pure water at 25^oC is 23.8 mm of Hg, is

A.
1.25 mm of Hg
B.
0.125 mm of Hg
C.
1.15 mm of Hg
D.
00.12 mm of Hg

Test: BITSAT Mock Test- 5 - Question 78

How many Cd²⁺ ions surround each fluoride ion in cadmium fluoride crystal which adopts fluorite type structure?

A.
8
B.
4
C.
12
D.
6

Test: BITSAT Mock Test- 5 - Question 79

Liquid benzene burns in oxygen according to following equation. 2 C₆H₆(l) + 15 O₂(g) → 12 CO₂(g) + 6H₂O(g) How many litres of oxygen are required for complete combustion of 39 gram of liquid benzene ?

A.
11.2
B.
22.4
C.
42
D.
84

Test: BITSAT Mock Test- 5 - Question 80

Blood may be purified by

A.
Dialysis
B.
Electroosmosis
C.
Coagulation
D.
Filtration

Test: BITSAT Mock Test- 5 - Question 81

the area of the curve x² + y²= 2 ax is

A.
π a²
B.
2π a²
C.
4π a²
D.
1/2π a²

Test: BITSAT Mock Test- 5 - Question 82

The positive integer just greater than (1 + .0001)¹⁰⁰⁰⁰ is

A.
4
B.
5
C.
2
D.
3

Test: BITSAT Mock Test- 5 - Question 83

Circles x²+y²-2x-y=0 and x²+y²-8y-4=0

A.
touch externally
B.
touch internally
C.
do not touch
D.
intersect

Test: BITSAT Mock Test- 5 - Question 84

The abcissae of two points A, B are roots of x² + 4x - 45 = 0. The centre of the circle for which AB are diameter is

A.
(2, 7/2)
B.
(4, -7)
C.
(-2, 7/2)
D.
(-2, -7/2)

Test: BITSAT Mock Test- 5 - Question 85

(1 − ω + ω ²)⁶ + (1 − ω² + ω)⁶ =

A.
0
B.
6
C.
64
D.
128

Test: BITSAT Mock Test- 5 - Question 86

The solution of differential equation (dy/dx)+sin²y=0 is

A.
y+2cosy=c
B.
y-2siny=c
C.
x=coty+c
D.
y=cotx+c

Test: BITSAT Mock Test- 5 - Question 87

The number of solutions of y'=y+1/x-1, y(1)=2 is

A.
infinite
B.
one
C.
two
D.
none

Test: BITSAT Mock Test- 5 - Question 88

The solution of

A.
B.
C.
D.

Test: BITSAT Mock Test- 5 - Question 89

If f (x) = x − x² + x³ − x⁴ + … ∞ , | x | < 1, then f ′ x =

A.
B.
C.
D.

Test: BITSAT Mock Test- 5 - Question 90

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- 5 - Question 90

Test: BITSAT Mock Test- 5 - Question 91

1/(1.2) - 1/(2.3) + 1/(3.4) - 1/(4.5) + ....... is

A.
2 log 2-1
B.
3 log 2
C.
4 log 2-1
D.
none of these

Test: BITSAT Mock Test- 5 - Question 92

The angle of elevation of the top of an unfinished tower at a point distant 120 m from its base is 45^o. If the elevation of the top at the same point is to be 60^o, the tower must be raised to a hight.

A.
120(√3+1) m
B.
120 (√3-1) m
C.
10 (√3+1) m
D.
none

Test: BITSAT Mock Test- 5 - Question 93

If e and e₁ are the eccentricities of the hyperbola xy = c², x² - y² = c² then

e^{2} + e_{1}^{2}

is equal to

A.
1
B.
4
C.
6
D.
8

Test: BITSAT Mock Test- 5 - Question 94

The area of the region bounded by the lines x = 0, x = π/2 and f (x) = sin x, g (x) = cos x is

A.
2 (√2 + 1)
B.
√3 - 1
C.
2 (√3 - 1)
D.
2 (√2 - 1)

Test: BITSAT Mock Test- 5 - Question 95

The area between (x²/a²) + (y²/b²) = 1 and the straight line (x/a) + (y/b) = 1 is

A.
(1/2)π a b
B.
(1/2)a b
C.
(π a b/4) - (a b/2)
D.
(1/4)a b

Test: BITSAT Mock Test- 5 - Question 96

The value of 4tan⁻¹(1/5)- tan⁻¹(1/239) is

A.
π/4
B.
π/2
C.
π
D.
∞

Test: BITSAT Mock Test- 5 - Question 97

If a matrix A is such that 3A³ + 2A² + 5A + I = 0, then its inverse is

A.
-(3A² + 2A + 5I)
B.
3A² + 2A + 5I
C.
3A² - 2A - 5I
D.
none of these

Test: BITSAT Mock Test- 5 - Question 98

log x² is equivalent to

A.
2 logx
B.
2 log|x|
C.
|logx²|
D.
(logx)²

Test: BITSAT Mock Test- 5 - Question 99

1 • 2 + 2 • 3 + 3 • 4 + … n terms =

A.
n(n+1)(n+5)/3
B.
n(n+1)(n+2)/3
C.
n(4n²+6n-1)/3
D.
n(n+1)(n+2)

Test: BITSAT Mock Test- 5 - Question 100

If minimum value of f(x) = x² + 2bx + 2c² is greater than maximum value of g(x) = - x² - 2cx + b² then for x is real

A.
∣c∣ > ∣b∣ √2
B.
∣c∣ √2 > b
C.
0 < c < √2b
D.
No real value of a

Test: BITSAT Mock Test- 5 - Question 101

If the traces of the matrices A and B are 20 and -8, then the trace of (A + B)=

A.
- 160
B.
6
C.
12
D.
28

Test: BITSAT Mock Test- 5 - Question 102

The angle between pair of lines 2x²+5xy+2y²+3x+3y+1=0 is

A.
tan⁻¹(4/5)
B.
0
C.
π/2
D.
cos⁻¹(4/5)

Test: BITSAT Mock Test- 5 - Question 103

Imaginary part of 1/1+cos θ -i sin θ is

A.
2 tan θ/2
B.
-1/2 tan θ/2
C.
- cosec θ
D.
1/2 tan (θ/2)

Test: BITSAT Mock Test- 5 - Question 104

The equation of the parabola with focus (3,0) and the directrix x+3=0 is

A.
y²=3x
B.
y²=2x
C.
y²=12x
D.
y²=6x

Test: BITSAT Mock Test- 5 - Question 105

A parallelogram is cut by two sets of m lines parallel to the sides, the number of parallelogram thus formed is

A.
m²/4
B.
(m + 1) ²/4
C.
(m + 2) ²/4
D.
(m + 2)²(m + 1) ²/4

Test: BITSAT Mock Test- 5 - Question 106

The line, among the following, that touches the parabola y² = 4ax is

A.
x + my + am³ = 0
B.
x − my + am² = 0
C.
x + my − am² = 0
D.
y + mx + am² = 0

Test: BITSAT Mock Test- 5 - Question 107

The sum of the digits in the unit place of all the numbers formed with the help of 3,4,5,6 taken all at a time is

A.
432
B.
108
C.
36
D.
18

Test: BITSAT Mock Test- 5 - Question 108

A dice is tossed twice. The probability of having a number greater than 4 on each toss is

A.
1/4
B.
1/3
C.
1/12
D.
2/3

Test: BITSAT Mock Test- 5 - Question 109

A coin is tossed successively three times. The probability of getting at least 2 heads is:

A.
1/4
B.
1/2
C.
3/8
D.
5/8

Test: BITSAT Mock Test- 5 - Question 110

A.
B.
C.
D.

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 110

Test: BITSAT Mock Test- 5 - Question 111

If b = 3, c = 4, and B = π/3, then the number of triangles that can be constructed is

A.
infinite
B.
two
C.
one
D.
nil

Test: BITSAT Mock Test- 5 - Question 112

1³ - 2³ + 3³ - 4³ + ... + 9³ =

A.
425
B.
-425
C.
475
D.
-475

Test: BITSAT Mock Test- 5 - Question 113

If one root of the equation x² = px + q is reciprocal of the other and p≠±1. What is the value of q ?

A.
q = - 1
B.
q = 1
C.
pq = - 1
D.
pq = 1

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 113

Test: BITSAT Mock Test- 5 - Question 114

If A = [a,b], B = [c,d], C = [d,e] then {(a,c), (a,d),(a,e),(b,c),(b,d),(b,e)} is equal to

A.
A ∩ (B ∪ C)
B.
A ∪ (B ∩ C)
C.
A * (B ∪ C)
D.
A * (B ∩ C)

Test: BITSAT Mock Test- 5 - Question 115

The function f (x) = 10^x from R to [0,∞] is

A.
one-one and onto
B.
one-one and into
C.
a constant function
D.
an identity function

Test: BITSAT Mock Test- 5 - Question 116

If the first term of an A.P. is 2 and common difference is 4, then sum of its 40 terms is

A.
3200
B.
1600
C.
200
D.
2800

Test: BITSAT Mock Test- 5 - Question 117

The equation of a line which makes an angle of 120^o with x-axes and the length of perpendicular from origin on it is 4 units, is

A.
x√3+y+8=0
B.
x√3-y=8
C.
x√3-y=0
D.
x√3+y=0

Test: BITSAT Mock Test- 5 - Question 118

The equation of the normal to the curve y=sinx at (π,0) is

A.
x+y=π
B.
x+y+π=0
C.
x-y=π
D.
x-y+π=0

Test: BITSAT Mock Test- 5 - Question 119

The equation of the plane passing thro' the intersection of the planes x+2y+3z+4=0 and 4x+3y+2z+1=0 and the origin is

A.
3x+2y+z+1=0
B.
3x+2y+z=0
C.
2x+3y+z=0
D.
x+y+z=0

Test: BITSAT Mock Test- 5 - Question 120

The centre of sphere passing through four points (0, 0, 0), (0, 2, 0), (1, 0, 0) and (0, 0, 4) is

A.
(1/2, 1, 2)
B.
(-1/2, 1, 2)
C.
(1/2, 1, -2)
D.
(1, 1/2, 2)

Test: BITSAT Mock Test- 5 - Question 121

If sin²x-2cosx+(1/4)=0, the general solution x is

A.
B.
C.
D.

Test: BITSAT Mock Test- 5 - Question 122

The values of θ satisfying sin 5θ = sin 3θ − sinθ and 0 < θ < π/2 are

A.
B.
C.
D.

Test: BITSAT Mock Test- 5 - Question 123

If x+y=a, x*y=b, x.a=1 then x and y is

A.
a, a-x
B.
a-b, b
C.
b, a-b
D.
none of these

Test: BITSAT Mock Test- 5 - Question 124

The value of cos 12^o+cos 84^o+cos 156^o+cos 132^o is

A.
1/2
B.
1
C.
-(1/2)
D.
1/8

Test: BITSAT Mock Test- 5 - Question 125

The unit vector perpendicular to each of the vectors 2î-ĵ+k̂ and 3î+4ĵ is

A.
(1/√146)(4î - 3ĵ + 11k̂)
B.
(1/√146)(-4î + 3ĵ + 11k̂)
C.
(1/√146)(4î + 3ĵ + 11k̂)
D.
(1/146)(-4î + 3ĵ + 11k̂̂)

Test: BITSAT Mock Test- 5 - Question 126

Find the Antonym of the word occurring in the sentence in capital letter as per the context.
What the critic said about this new book was ABSURD ?

A.
Interesting
B.
Impartial
C.
Sensible
D.
Ridiculous

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 126 'Absurd' means not logical and sensible.
So its antonym will be Sensible

Test: BITSAT Mock Test- 5 - Question 127

Fill in the blank with appropriate word.
Hardly had he arrived .......... it started raining.

A.
after
B.
than
C.
when
D.
before

Test: BITSAT Mock Test- 5 - Question 128

Choose the one which can be substituted for the given words/sentences :
Thing that can be felt or touched

A.
Pandemic
B.
Palpable
C.
Paltry
D.
Panchromatic

Test: BITSAT Mock Test- 5 - Question 129

Fill in the blank with appropriate word.
In a little publicised deal, Pepsi Cola has.......the entire soft drink market in Afghanistan.

A.
conquered
B.
swallowed
C.
captured
D.
occupied

Test: BITSAT Mock Test- 5 - Question 130

Find the Antonym of the word occurring in the sentence in capital letter as per the context.
His assignments have taken him to many EXOTIC locations around the world.

A.
Wonderful
B.
Cosmopolitan
C.
Irrelevant
D.
Common

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 130 'Exotic' means seeming exciting and unusual

Test: BITSAT Mock Test- 5 - Question 131

Choose the one which can be substituted for the given words/sentences
The custom of having more than one husband at the same time

A.
Polyandry
B.
Polygamy
C.
Debauchery
D.
Bigamy

Test: BITSAT Mock Test- 5 - Question 132

spot the error.

A.
Had I realised
B.
that it was such a long way
C.
I would take a taxi
D.
No error

Test: BITSAT Mock Test- 5 - Question 133

Spot the error.

A.
He was not considered for promotion
B.
because his performance was not
C.
as good as the other members of the organization
D.
No error

Test: BITSAT Mock Test- 5 - Question 134

Spot the error.

A.
I cannot understand
B.
why does he not do the work
C.
as instructed
D.
No error

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 134 Correct form is why he does not do the work

Test: BITSAT Mock Test- 5 - Question 135

Find the Synonym of the word occurring in the sentence in capital letter as per the context.
It is DEPLORABLE that millions of people in India are below the poverty line.

A.
Hateful
B.
Regrettable
C.
Undesirable
D.
Unpleasant

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 135 'Deplorable' means bad and unacceptable

Test: BITSAT Mock Test- 5 - Question 136

Find the Synonym of the word occurring in the sentence in capital letter as per the context.
The students took COPIOUS notes during the lecture delivered by the visiting professor.

A.
Extensive
B.
Exhaustive
C.
Bounteous
D.
Abounding

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 136 'Copious' means abundant, plentiful.
In the given context, the question word means 'comprehensive'.
Hence the correct option is Exhaustive

Test: BITSAT Mock Test- 5 - Question 137

Choose the numeral pair which is different from others .

A.
15 - 46
B.
12 - 37
C.
9 - 28
D.
8 - 33

Test: BITSAT Mock Test- 5 - Question 138

Complete the analogous pair.
Fear : Threat : : Anger : ?

A.
Compulsion
B.
Panic
C.
Provocation
D.
Force

Test: BITSAT Mock Test- 5 - Question 139

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

A.
1,5,8; 3,4,7; 2,6,9
B.
1,3,6; 4,5,9; 2,7,8
C.
1,3,6; 2,5,7; 4,8,9
D.
6,7,8; 1,3,7; 2,4,9

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 139

1,3,6 contain one complete circle each.
2,5,7 contain a semi-circle each.
4,8,9 contain a triangle each.

Test: BITSAT Mock Test- 5 - Question 140

Find the missing character.

A.
64
B.
56
C.
48
D.
40

Detailed Solution for Test: BITSAT Mock Test- 5 - Question 140

The sequence in first column is x 5. Thus, 1 x 5 = 5, 5 x 5 = 25, 25 x 5 = 125.
The sequence in third column is x 2. Thusx 7 x 2 = 14, 14 x 2 = 28, 28 x 2 = 56.
The sequence in second column is x 4.
∴ Missing number = 12 x 4 = 48.

Test: BITSAT Mock Test- 5 - Question 141

In this letter series, some of the letters are missing. Choose the correct letter given below -
_ acca _ ccca _ acccc _ aaa

A.
acca
B.
caaa
C.
ccaa
D.
caac

Test: BITSAT Mock Test- 5 - Question 142

In this letter series, some of the letters are missing. Choose the correct letter given below -
_ aaba _ bba _ bba _ abaa _ b

A.
aabab
B.
ababa
C.
baaba
D.
bbaba

Test: BITSAT Mock Test- 5 - Question 143

Please go through following and answer question no.128 to no.131

The martyrs who laid down their lives for the freedom of the country, had a lofty vision of the future. They wanted the nation to be free from all the slavery and bondage . They wanted an India in which all the communities would live in perfect harmony and in which there would be no high class and no low class of people, the curse of untouchability having been wiped out completely. Women would enjoy equal rights with men and contribute their fullest to the making of a great nation . Such a vision was in keeping with the ancient glory of the country renowned for its splendid achievements in literature , art and culture . We must now revitalise this ancient culture of ours with tolerance as its masthead. If we forget or cease to take pride, in our noble heritage , we shall have to face severe indictment in the court of history which is a ruthless judge and seldom spares the erring people.

Q. The martyrs who died for the freedom of India wanted:

A.
the country to be the strongest nation in the world.
B.
the country to rule over the other nations .
C.
the country to be free from slavery .
D.
the people to give up their antiquated customs .

Test: BITSAT Mock Test- 5 - Question 144

Please go through following and answer question no.128 to no.131

The martyrs who laid down their lives for the freedom of the country, had a lofty vision of the future. They wanted the nation to be free from all the slavery and bondage . They wanted an India in which all the communities would live in perfect harmony and in which there would be no high class and no low class of people, the curse of untouchability having been wiped out completely. Women would enjoy equal rights with men and contribute their fullest to the making of a great nation . Such a vision was in keeping with the ancient glory of the country renowned for its splendid achievements in literature , art and culture . We must now revitalise this ancient culture of ours with tolerance as its masthead. If we forget or cease to take pride, in our noble heritage , we shall have to face severe indictment in the court of history which is a ruthless judge and seldom spares the erring people.

Q. These martyrs wanted that :

A.
there should be reservation in the jobs for the backward sections of the society .
B.
there should be perfect communal love and peace in the country .
C.
the old caste-system should be retained in the future.
D.
the woman should look after their families only.

Test: BITSAT Mock Test- 5 - Question 145

Please go through following and answer question no.128 to no.131

The martyrs who laid down their lives for the freedom of the country, had a lofty vision of the future. They wanted the nation to be free from all the slavery and bondage . They wanted an India in which all the communities would live in perfect harmony and in which there would be no high class and no low class of people, the curse of untouchability having been wiped out completely. Women would enjoy equal rights with men and contribute their fullest to the making of a great nation . Such a vision was in keeping with the ancient glory of the country renowned for its splendid achievements in literature , art and culture . We must now revitalise this ancient culture of ours with tolerance as its masthead. If we forget or cease to take pride, in our noble heritage , we shall have to face severe indictment in the court of history which is a ruthless judge and seldom spares the erring people.

Q. We must strive with our total commitment to :

A.
defeat and overcome the enemies of the nation .
B.
revitalise our rich past culture.
C.
inject scientific temper into our past culture.
D.
make scientific advancements.

Test: BITSAT Mock Test- 5 - Question 146

Please go through following and answer question no.128 to no.131

The martyrs who laid down their lives for the freedom of the country, had a lofty vision of the future. They wanted the nation to be free from all the slavery and bondage . They wanted an India in which all the communities would live in perfect harmony and in which there would be no high class and no low class of people, the curse of untouchability having been wiped out completely. Women would enjoy equal rights with men and contribute their fullest to the making of a great nation . Such a vision was in keeping with the ancient glory of the country renowned for its splendid achievements in literature , art and culture . We must now revitalise this ancient culture of ours with tolerance as its masthead. If we forget or cease to take pride, in our noble heritage , we shall have to face severe indictment in the court of history which is a ruthless judge and seldom spares the erring people.

Q. Our freedom - fighters envisioned that in free India:

A.
there would be an egalitarian society .
B.
women would enjoy higher privileges and rights than others.
C.
the country would be taken forward by some selected classes of the society .
D.
industrialisation should occupy the top priority .

Test: BITSAT Mock Test- 5 - Question 147

Please go through following and answer question no.145 to no.146

Select the correct mirror image of the figure (X) from amongst the given alternatives.

Q.

A.
B.
C.

150 Questions MCQ Test BITSAT Mock Tests Series & Past Year Papers | Test: BITSAT Mock Test- 5

In a purely resistive A.C. circuit, the current

Lags behind the e.m.f. in phase

Is in phase with the e.m.f.

Leads the e.m.f in phase

Leads the e.m.f. in half the cycle and lags behind it in the other half

A radioactive substance has a half-life of 1 year. The fraction of this material, that would remain after 5 years will be

1/32

1/5

1/2

4/5

In Bohr's model, the atomic radius of the first orbit is r₀ then the radius of the third orbit is

r₀/9

r₀

9r₀

3r₀

A has more loss of weight

B has more loss of weight

Both have same loss of weight

Loss of weight will be in ratio 1:2

20 Ω

2 Ω

0.2 Ω

2k Ω

kinetic energy of cathode rays

potential energy of cathode rays

linear velocity of cathode rays

angular velocity of cathode rays

Minimum wavelength decreases

Minimum wavelength increases

Intensity decreases

Intensity increases

4 X

X/2

X/4

2 X

T

3T

9T

3√3T

Einstein

Newton

Maxwell

Raman

F/AY

2F/AY

F/2AY

3F/AY

Greater

Smaller

Same

Depends on height

9:16

16:9

7:25

25:7

Potential difference

Current

Charge

None

100 m

150 m

200 m

250 m

2

1/2

1

4

2 m

3 m

4 m

5 m

0.7 kg/s

1.4 kg/s

0.07 kg/s

10.7 kg/s

1:1

2:1

4:1

20 $Ω$

2 $Ω$

0.2 $Ω$

2k $Ω$

Mg⁺²

Na⁺

O^-2

F ^-