200950 + Mcqs in General Page 86 McqOptions

4251.	While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average?
A.	8%
B.	8(15/17)%
C.	8(13/17)%
D.	8(1/2)%
Answer» C. 8(13/17)%

Discussion

4252.	If P (x) is a polynomial of degree less than or equal to 2 and S is the set of all such polynomials so that P (1) = 1,P(0) = 0 and P′ (x)u003e 0 ∀ x ∈ [0, 1], then?
A.	S = φ
B.	S = {(1 – a) x2 + ax 0 u003c a u003c 2
C.	(1- a) x2 + ax a ∈ (0, ∞)
D.	S = {(1 – a) x2 + ax 0 u003c a u003c 1
Answer» C. (1- a) x2 + ax a ∈ (0, ∞)

Discussion

4253.	Amir Khusrau was a musician and—
A.	Sufi saint
B.	Persian and Hindavi writer, and scholar
C.	Historian
D.	All of the above
Answer» C. Historian

Discussion

4254.	The three wordsTATA Assets Rockare flashed such that the words individually are switched on at regular intervals of 4,7 and 9 seconds respectively and after they are switched on, the words are switched off after 2 sec, 4 sec and 5 sec respectively. If at time 't' all the words happened to switch off simultaneously, find the least time 't' which all three words will switch on simultaneously.
A.	38 sec
B.	94 sec
C.	126 sec
D.	252 sec
Answer» C. 126 sec

Discussion

4255.	If f(x) is a twice differentiable function and given that f(1) = 1, f(2) = 4, f(3) = 9, then?
A.	f″(x) = 2, for ∀ x ∈ (1, 3)
B.	f″(x) = f′(x) = 5 for some x ∈(2, 3)
C.	f″(x) = 3, ∀ x ∈ (2, 3
D.	f″(x) = 2, for some x ∈ (1, 3)
Answer» E.

Discussion

4256.	A set of S consists of i). All odd numbers from 1 to 55.ii). All even numbers from 56 to 150.What is the index of the highest power of 3 in the product of all the elements of the set S?
A.	36
B.	6
C.	48
D.	35
Answer» E.

Discussion

4257.	‘Permanent Settlement’ the system of revenue collection was introduced in India by—
A.	Lord Curzon
B.	Lord Dalhousie
C.	Lord Hastings
D.	Lord Cornwallis
Answer» E.

Discussion

4258.	The difference to two numbers is 20% of the larger number. If the smaller number is 20, then the larger number is:
A.	25
B.	50
C.	45
D.	80
Answer» B. 50

Discussion

4259.	It costs Re. 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?
A.	Rs. 3920
B.	Rs. 4900
C.	Rs. 3980
D.	Rs. 4920.
Answer» E.

Discussion

4260.	Ram and Shyam take a vacation at their grandparents' house. During the vacation, they do any activity together. They either played tennis in the evening or practiced Yoga in the morning, ensuring that they do not undertake both the activities on any single day. There were some days when they did nothing. Out of the days that they stayed at their grandparents' house, they involved in one of the two activities on 22 days. However, their grandmother while sending an end of vacation report to their parents stated that they did not do anything on 24 mornings and they did nothing on 12 evenings. How long was their vacation?
A.	29 days
B.	14 days
C.	36 days
D.	Cannot be determined
Answer» B. 14 days

Discussion

4261.	10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was:
A.	25000
B.	35000
C.	33000
D.	40000
Answer» B. 35000

Discussion

4262.	A six faced fair dice is thrown until 1 comes, then the probability that 1 comes in even no. of trials is?
A.	5/11
B.	5/6
C.	6/11
D.	1/6
Answer» B. 5/6

Discussion

4263.	cos (α - β) = 1 and cos (α β) = 1/e, where α, β∈[-π]
A.	0
B.	1
C.	2
D.	4
Answer» E.

Discussion

4264.	A circle is given by x2 (y – 1)2= 1, another circle C touches it externally and also the x-axis,then the locus of its centre is?
A.	{(x, y) : x2 = 4y} ∪ {(x, y) : y ≤ 0}
B.	{(x, y) : x2 + (y – 1)2 = 4} ∪ {x, y) : y ≤ 0}
C.	{(x, y) : x2 = y} ∪ {(0, y) : y ≤ 0}
D.	{(x, y) : x2 = 4y} ∪ {(0, y) : y ≤ 0}
Answer» E.

Discussion

4265.	N is the smallest number that has 5 factors. How many factors does (N - 1) have??
A.	5
B.	4
C.	3
D.	2
Answer» C. 3

Discussion

4266.	The Italian traveller who left very praiseworthy account of Vijayangar Empire was—
A.	E Barbosa
B.	Manucci
C.	Marco Polo
D.	Nicolo Conti
Answer» E.

Discussion

4267.	Each of X alarm tolls at regular intervals. All of them tolls together twelve times a day. No two alarm at equal intervals of time. If each alarm tolls after a whole number of minutes, what is the maximum possible value of X?
A.	20
B.	18
C.	16
D.	14
Answer» D. 14

Discussion

4268.	Ideal gas is contained in a thermally insulated and rigid container and it is heated through a resistance 100Ω by passing a current of 1A for five minutes, then change in internal energy of the gas is?
A.	0 kJ
B.	30 kJ
C.	10 kJ
D.	20 kJ
Answer» C. 10 kJ

Discussion

4269.	A person uses the base x for his number system, where x ≤ 10. A student had to add two-digit numbers. None of the digits was 0. By oversight, he reversed the digits of both the numbers and added them. He later found that the difference between his answer and the correct answer was $(84)_10. If this value is the maximum possible for x, then what is the value of x.
A.	9
B.	8
C.	7
D.	6
Answer» C. 7

Discussion

4270.	1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is:
A.	58%
B.	64%
C.	62(2/3)%
D.	78%
Answer» D. 78%

Discussion

4271.	Two litre of water at initial temperature of 270C is heated by a heater of power 1 kW. If the lid of kettle is opened, then heat is lost at the constant rate of 160 J/s. Find the time required to raise the temperature of water to 770C with the lid open (Specific heat of watern4.2 kJ/kg)?
A.	5 min 40 sec
B.	14 min 20 sec
C.	8 min 20 sec
D.	16 min 10 sec
Answer» D. 16 min 10 sec

Discussion

4272.	If a star converts all of its Helium into oxygen nucleus, find the amount of energy released per nucleus of oxygen. He = 4.0026 amu, O = 15.9994 amu?
A.	7.26 MeV
B.	7 MeV
C.	10.24 MeV
D.	5.12 MeV
Answer» D. 5.12 MeV

Discussion

4273.	One calorie is defined as the heat required to raise the temperature of 1 gm of water by 10C in a certain interval of temperature and at certain pressure. The temperature interval and pressure is?
A.	13.50C to 14.50C u0026 76 mm of Hg
B.	6.50C to 7.50C u0026 76 mm of Hg
C.	14.50C to 15.50C u0026 760 mm of Hg
D.	98.50C to 99.50C u0026 760 mm of Hg
Answer» D. 98.50C to 99.50C u0026 760 mm of Hg

Discussion

4274.	Three gold coins of weight 780gm, 840gm and 960gm are cut into small pieces, all of which have the equal weight. Each piece must be heavy as possible. If one such piece is shared by two persons, then how many persons are needed to give all the pieces of gold coins?
A.	35
B.	43
C.	70
D.	86
Answer» E.

Discussion

4275.	Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?
A.	144
B.	192
C.	168
D.	None of these
Answer» C. 168

Discussion

4276.	Temperature of a gas is 200C and pressure is changed from 1.01×105 Pa to 1.165×105 Pa . If volume is decreased isothermally by 10%. Bulk modulus of gas is?
A.	1.55×105
B.	0.155×105
C.	1.4×105
D.	1.01×105
Answer» B. 0.155×105

Discussion

4277.	A spherical body of area A and emissivity e = 0.6 is kept inside a perfectly black body. Total heat radiated by the body at temperature T is?
A.	0.4 e AT4
B.	0.8eAT4
C.	0.6 eAT4
D.	1.0eAT4
Answer» E.

Discussion

4278.	Chandra Gupta Vikramaditya was the—
A.	Son of Chandra Gupta I
B.	Father of Skanda Gupta
C.	Son of Samudra Gupta
D.	Grand father of Kumar Gupta I
Answer» D. Grand father of Kumar Gupta I

Discussion

4279.	In YDSE, an electron beam is used to obtain interference pattern. If speed of electron is increased then
A.	no interference pattern will be observed.
B.	distance between two consecutive fringes will increase
C.	distance between two consecutive fringes will decrease.
D.	distance between two consecutive fringes remains same
Answer» D. distance between two consecutive fringes remains same

Discussion

4280.	Find the remainder when P is divided by 9?P =1234567891011.............9989991000
A.	6
B.	1
C.	7
D.	8
Answer» C. 7

Discussion

4281.	Which of the following process does not occur through convection?
A.	Boiling of water
B.	Land breeze and Sea breeze
C.	Circulation of air around furnace
D.	Heating of glass bulb through filament
Answer» E.

Discussion

4282.	Chhattrapati Shivajee died in the year—
A.	1680 A.D.
B.	1666 A.D.
C.	1687 A.D.
D.	1689 A.D.
Answer» B. 1666 A.D.

Discussion

4283.	The largest number amongst the following that will perfectly divide 101100–1 is:
A.	100100
B.	100,000
C.	10,000
D.	100
Answer» D. 100

Discussion

4284.	In a resonance tube with tuning fork of frequency 512Hz, first resonance occurs at water level equal to 30.3 cm and second resonance occurs at 63.7 cm. The maximum possible error in the speed of sound is?
A.	51.2 cm/s
B.	102.4 cm/s
C.	204.8 cm/s
D.	153.6 cm/s
Answer» D. 153.6 cm/s

Discussion

4285.	Find the remainder when first 1000 digits of the number P are divided by 16?P =1234567891011.............9989991000
A.	13
B.	11
C.	9
D.	7
Answer» B. 11

Discussion

4286.	A thin concave and a thin convex lens are in contact. The ratio of the magnitude of power of two lenses is 2/3 and focal length of combination is 30cm, then the focal length of individual lenses are?
A.	– 15 cm, 10 cm
B.	– 75 cm, 50 cm
C.	75 cm, - 50 cm
D.	75 cm, 50 cm
Answer» B. – 75 cm, 50 cm

Discussion

4287.	A capacitor (C = 4.0 μF) is connected through a resistor (R = 2.5 MΩ) across a battery of negligible internal resistance of voltage 12 volts. The time after which the potential difference across the capacitor becomes three times to that of resistor is (ln 2 = 0.693)?
A.	13.86 sec
B.	6.48 sec.
C.	3.24 sec.
D.	20.52 sec
Answer» B. 6.48 sec.

Discussion

4288.	A photon of energy 10.2 eV collides inelastically with a Hydrogen atom in ground state. After a certain time interval of few micro seconds another photon of energy 15.0 eV collides inelastically with the same hydrogen atom, then the observation made by a suitable detector is?
A.	1 photon with energy 10.2 eV and an electron with energy 1.4 eV
B.	2 photon with energy 10.2 eV
C.	2 photon with energy 1.4 eV
D.	one photon with energy 3.4 eV and 1 electron with energy 1.4 eV
Answer» B. 2 photon with energy 10.2 eV

Discussion

4289.	Which of the following does not have the same dimension?
A.	Electric flux, Electric field, Electric dipole moment
B.	Pressure, stress, Young’s modulus
C.	Electromotive force, Potential difference, Electric voltage
D.	Heat, Potential energy, Work done
Answer» B. Pressure, stress, Young’s modulus

Discussion

4290.	The atomic number (Z) of an element whose kα wavelength is λ is 11. The atomic number of an element whosekα wavelength is 4λ is equal to?
A.	6
B.	11
C.	44
D.	4
Answer» B. 11

Discussion

4291.	Ancylindrical conducting rod is kept with its axis along positive z-axis, where a uniform magnetic field exists parallel to z-axis. The current induced in the cylinder is?
A.	zero
B.	clockwise as seen from +z axis
C.	anti-clockwise as seen from +z axis
D.	opposite to the direction of magnetic field.
Answer» B. clockwise as seen from +z axis

Discussion

4292.	Which one of the following battles was fought between Babar and the Rajputs in 1527 ?
A.	The First Battle of Panipat
B.	The Battle of Khanwa
C.	The Battle of Ghagra
D.	The Battle of Chanderi
Answer» C. The Battle of Ghagra

Discussion

4293.	Ratio of area of hole to beaker is 0.1. Height of liquid in beaker is 3m, and hole is at the height of 52.5 cm from the bottom of beaker, find the square of the velocity of liquid coming out from the hole?
A.	50 (m/s)2
B.	50.5 (m/s)2
C.	51 (m/s)2
D.	42 (m/s)2
Answer» B. 50.5 (m/s)2

Discussion

4294.	In Young’s double slit experiment the angular position of a point on the central maxima whose intensity is one fourth of maximum intensity is?
A.	sin-1 (λ/d)
B.	sin−1 (λ 2d)
C.	sin−1 (λ 3d)
D.	sin−1 (λ 4d)
Answer» D. sin−1 (λ 4d)

Discussion

4295.	Which of the following statement is incorrect about order of reaction?
A.	Order of reaction is determined experimentally
B.	It is the sum of power of concentration terms in the rate law expression
C.	It does not necessarily depend on stoichiometric coefficients
D.	Order of the reaction can not have fractional value.
Answer» E.

Discussion

4296.	Panini, the first Grammarian of Sanskrit language in India, lived during the—
A.	2nd century B.C.
B.	6th-5th century B.C.
C.	2nd century A.D.
D.	5th-6th century A.D.
Answer» C. 2nd century A.D.

Discussion

4297.	Which of the following is correct for lyophilic sols?
A.	They are irreversible
B.	They are formed by inorganic substances
C.	They are readily coagulated by addition of electrolytes
D.	They are self stabilized
Answer» E.

Discussion

4298.	Which of the following contains maximum number of lone pairs on the central atom?
A.	ClO−3
B.	XeF4
C.	SF4
D.	I−3
Answer» E.

Discussion

4299.	Which gas is evolved when PbO2 is treated with conc. HNO3?
A.	NO2
B.	O2
C.	N2
D.	N2O
Answer» C. N2

Discussion

4300.	If helium and methane are allowed to diffuse out of the container under the similar conditions of temperature and pressure, then the ratio of rate of diffusion of helium to methane is?
A.	2.0
B.	1.0
C.	0.5
D.	4.0
Answer» B. 1.0

Discussion

Explore topic-wise MCQs in General Knowledge.

While purchasing one item costing Rs. 400, I had to pay the sales tax at 7% and on another costing Rs. 6400, the sales tax was 9%. What percent of the sales tax I had to pay, taking the two items together on an average?

If P (x) is a polynomial of degree less than or equal to 2 and S is the set of all such polynomials so that P (1) = 1,P(0) = 0 and P′ (x)u003e 0 ∀ x ∈ [0, 1], then?

Amir Khusrau was a musician and—

If f(x) is a twice differentiable function and given that f(1) = 1, f(2) = 4, f(3) = 9, then?

A set of S consists of i). All odd numbers from 1 to 55.ii). All even numbers from 56 to 150.What is the index of the highest power of 3 in the product of all the elements of the set S?

‘Permanent Settlement’ the system of revenue collection was introduced in India by—

The difference to two numbers is 20% of the larger number. If the smaller number is 20, then the larger number is:

It costs Re. 1 to photocopy a sheet of paper. However, 2% discount is allowed on all photocopies done after first 1000 sheets. How much will it cost to copy 5000 sheets of paper?

10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was:

A six faced fair dice is thrown until 1 comes, then the probability that 1 comes in even no. of trials is?

cos (α - β) = 1 and cos (α β) = 1/e, where α, β∈[-π]

A circle is given by x2 (y – 1)2= 1, another circle C touches it externally and also the x-axis,then the locus of its centre is?

N is the smallest number that has 5 factors. How many factors does (N - 1) have??

The Italian traveller who left very praiseworthy account of Vijayangar Empire was—

Each of X alarm tolls at regular intervals. All of them tolls together twelve times a day. No two alarm at equal intervals of time. If each alarm tolls after a whole number of minutes, what is the maximum possible value of X?

Ideal gas is contained in a thermally insulated and rigid container and it is heated through a resistance 100Ω by passing a current of 1A for five minutes, then change in internal energy of the gas is?

1100 boys and 700 girls are examined in a test; 42% of the boys and 30% of the girls pass. The percentage of the total who failed is:

Two litre of water at initial temperature of 270C is heated by a heater of power 1 kW. If the lid of kettle is opened, then heat is lost at the constant rate of 160 J/s. Find the time required to raise the temperature of water to 770C with the lid open (Specific heat of watern4.2 kJ/kg)?

If a star converts all of its Helium into oxygen nucleus, find the amount of energy released per nucleus of oxygen. He = 4.0026 amu, O = 15.9994 amu?

One calorie is defined as the heat required to raise the temperature of 1 gm of water by 10C in a certain interval of temperature and at certain pressure. The temperature interval and pressure is?

Three gold coins of weight 780gm, 840gm and 960gm are cut into small pieces, all of which have the equal weight. Each piece must be heavy as possible. If one such piece is shared by two persons, then how many persons are needed to give all the pieces of gold coins?

Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?

Temperature of a gas is 200C and pressure is changed from 1.01×105 Pa to 1.165×105 Pa . If volume is decreased isothermally by 10%. Bulk modulus of gas is?

A spherical body of area A and emissivity e = 0.6 is kept inside a perfectly black body. Total heat radiated by the body at temperature T is?

Chandra Gupta Vikramaditya was the—

In YDSE, an electron beam is used to obtain interference pattern. If speed of electron is increased then

Find the remainder when P is divided by 9?P =1234567891011.............9989991000

Which of the following process does not occur through convection?

Chhattrapati Shivajee died in the year—

The largest number amongst the following that will perfectly divide 101100–1 is:

In a resonance tube with tuning fork of frequency 512Hz, first resonance occurs at water level equal to 30.3 cm and second resonance occurs at 63.7 cm. The maximum possible error in the speed of sound is?

Find the remainder when first 1000 digits of the number P are divided by 16?P =1234567891011.............9989991000

A thin concave and a thin convex lens are in contact. The ratio of the magnitude of power of two lenses is 2/3 and focal length of combination is 30cm, then the focal length of individual lenses are?

A capacitor (C = 4.0 μF) is connected through a resistor (R = 2.5 MΩ) across a battery of negligible internal resistance of voltage 12 volts. The time after which the potential difference across the capacitor becomes three times to that of resistor is (ln 2 = 0.693)?

A photon of energy 10.2 eV collides inelastically with a Hydrogen atom in ground state. After a certain time interval of few micro seconds another photon of energy 15.0 eV collides inelastically with the same hydrogen atom, then the observation made by a suitable detector is?

Which of the following does not have the same dimension?

The atomic number (Z) of an element whose kα wavelength is λ is 11. The atomic number of an element whosekα wavelength is 4λ is equal to?

Ancylindrical conducting rod is kept with its axis along positive z-axis, where a uniform magnetic field exists parallel to z-axis. The current induced in the cylinder is?

Which one of the following battles was fought between Babar and the Rajputs in 1527 ?

Ratio of area of hole to beaker is 0.1. Height of liquid in beaker is 3m, and hole is at the height of 52.5 cm from the bottom of beaker, find the square of the velocity of liquid coming out from the hole?

In Young’s double slit experiment the angular position of a point on the central maxima whose intensity is one fourth of maximum intensity is?

Which of the following statement is incorrect about order of reaction?

Panini, the first Grammarian of Sanskrit language in India, lived during the—

Which of the following is correct for lyophilic sols?

Which of the following contains maximum number of lone pairs on the central atom?

Which gas is evolved when PbO2 is treated with conc. HNO3?

If helium and methane are allowed to diffuse out of the container under the similar conditions of temperature and pressure, then the ratio of rate of diffusion of helium to methane is?