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1651.

Explain (in one or two lines) the function of the followings:(a) Promoter(b) tRNA(c) Exons

Answer»

(a) Promoter
Promoter is a region of DNA that helps in initiating the process of transcription. It serves as the binding site for RNA polymerase.
(b) tRNA
tRNA or transfer RNA is a small RNA that reads the genetic code present on mRNA. It carries specific amino acid to mRNA on ribosome during translation of proteins.
(c) Exons
Exons are coding sequences of DNA in eukaryotes that transcribe for proteins.

1652.

Why is the Human Genome project called a mega project?

Answer»

Human genome project was considered to be a mega project because it had a specific goal to sequence every base pair present in the human genome. It took around 13 years for its completion and got accomplished in year 2006. It was a large scale project, which aimed at developing new technology and generating new information in the field of genomic studies. As a result of it, several new areas and avenues have opened up in the field of genetics, biotechnology, and medical sciences. It provided clues regarding the understanding of human biology.

1653.

What is DNA fingerprinting? Mention its application.

Answer»

DNA fingerprinting is a technique used to identify and analyse the variations in various individuals at the level of DNA. It is based on variability and polymorphism in DNA sequences.
Application

  •  It is used in forensic science to identify potential crime suspects.
  •  It is used to establish paternity and family relationships.
  •  It is used to identify and protect the commercial varieties of crops   and livestock.
  •  It is used to find out the evolutionary history of an organism and trace out the linkages between groups of various organisms.
1654.

 Differentiate between Nepal's movement and Bolivia's popular struggle.

Answer»

The difference between popular struggles in Nepal and Bolivia are as follows : 

(i) The movement in Nepal was to establish democracy, while the struggle in Bolivia involved claims on an elected democratic govt. 

(ii) 'The popular struggle in Bolivia was about one specific policy i.e., privatisation of water while the struggle in Nepal was the foundation of the country's politics. 

(iii) The protest in Nepal was led by a political party, (SPA) while in Bolivia it was led by a pressure group (FEDECOR). 

(iv) The impact of these struggles was at different levels. The impact of the struggle in Nepal was for the entire world, while in Bolivia it was only for the citizens of the country.

1655.

Match the pairs correctly:Section ‘A’Section ‘B’(1) Establishment of League of Nations(1) General Assembly(2) Establishment of United Nations (U.N.)(2) Security Council(3) Largest organ of United Nations (U.N.)(3) 1921(4) The most important organ of United Nations (U.N.)(4) 1945(5) 1920

Answer»

(1 – 5), 

(2 – 4), 

(3 – 1), 

(4 – 2).

1656.

Consider the following statements with reference to Goods and Services Tax Appellate Tribunal: 1. It is the forum of the second appeal in GST laws. 2. The tribunal will be situated in Mumbai. Which of the above statements is/are correct ?A. 1 OnlyB. 2 OnlyC. Both 1 and 2D. Neither 1 nor 2

Answer» Correct Answer - A
National Bench of the Goods and Services Tax Appellate Tribunal will be situated in New Delhi.
1657.

A uniform chain has a mass m and length l . It is held on a frictionless table with one - sixth of its length hanging over the edge. The work done in just pulling the hanging part back on the table is :A. `mgl/72`B. `(mgl)/(36)`C. `(mgl)/(12)`D. `(mgl)/(6)`

Answer» [1]
Weight of overhanging part of chain `=(mg)/(6)`
The weight acts at the centre of gravity of the overhanging part,
i.e., `(l)/(12)`below the surface of table .
Gain in potential energy `=(mg)/(6)xx(l)/(12)=(mgl)/(72)`
` :.` Work done = gain in potential energy `=(mgl)/(72)`
1658.

Complaints to Magistrates contained in1. Chapter XIII of Criminal Procedure Code2. Chapter XVI of Criminal Procedure Code3. Chapter XV of Criminal Procedure Code4. Chapter XIV of Criminal Procedure Code

Answer» Correct Answer - Option 3 : Chapter XV of Criminal Procedure Code

The correct answer is Chapter XV of the Criminal Procedure Code.

  • Section 15 in The Code Of Criminal Procedure
    • Complaints to Magistrates are contained in Chapter XV of the Criminal Procedure Code. Hence, Option 3 is correct.
    • Every Chief Judicial Magistrate shall be subordinate to the Sessions Judge; and every other Judicial Magistrate shall, subject to the general control of the Sessions Judge, be subordinate to the Chief Judicial Magistrate.
    • The Chief Judicial Magistrate may, from time to time, make rules or give special orders, consistent with this Code, as to the distribution of business among the Judicial Magistrates subordinate to him.

  • The Code of Criminal Procedure (CrPc) 
    • It is a procedural law that came into force on April 1, 1974.
    • The Criminal Procedure Law has been designed to create legal machinery for the detection of crime, apprehension of suspected criminals, collection of evidence, determination of the guilt or innocence of a suspect, and imposing suitable punishment on the guilty person.
    • It is important to note that this procedural law is not wholly procedural or adjective in nature.
    • The following study material will help students get a comprehensive understanding of the Criminal Procedure Law and its provisions.
    • It consists of 13 Modules that take an in-depth look at the Code of Criminal Procedure.
1659.

When was the Universal Declaration of Human Rights adopted by the United Nations?1. 4 April, 19492. 24 October, 19453. 10 December, 19484. 10 January, 1920

Answer» Correct Answer - Option 3 : 10 December, 1948

The correct answer is 10 December 1948.

  •  The Declaration was adopted by the UN General Assembly in Paris on 10 December 1948 during its 183rd plenary meeting.
  • It is a milestone document in the history of human rights.
  • It is drafted by representatives from different legal and cultural backgrounds from all regions of the world.
  • It declares that human rights are universal – to be enjoyed by all people, no matter who they are or where they live.
  • The Universal Declaration includes civil and political rights, like the right to life, liberty, free speech and privacy. It also includes economic, social and cultural rights, like the right to social security, health and education.
  • Please note that the Universal Declaration is not a treaty, so it does not directly create legal obligations for countries.
1660.

Write a note on vaccination and immunisation.

Answer»

Vaccination:-

Antibody provoding agents aretermed vaccines. The protect human and domestic animals against infections from viruses and vacteria.

The process of vaccins to inter the body of living brings are known as vaccination. Toxoid killed vaccine, altenuated living vaccine, antigens isolated from infectius persons and antibodies and different kinds of vaccinus. Edward Jenner father of Emmunology prepared the small pox vaccine in 1906.

Immunisation:-

The system of animal body which protects it from various infectious agents and disease in termied imunisition. Our body has allready capecity to immunity.

1661.

______ discovered the presence of neutrons inside an atom.1. E. Goldstein2. J. Chadwick3. J. J. Thomson4. Niels Bohr

Answer» Correct Answer - Option 2 : J. Chadwick

Neutrons:

  • A 'Neutron' is a subatomic particle, symbol n or n⁰, which has a neutral charge and a mass slightly greater than that of a proton. 
  • The Neutron is essential to the production of nuclear power.
  • In the decade after the neutron was discovered by James Chadwick in 1932.
  • Protons and Neutrons constitute the nuclei of atoms.

​Thus, J. Chadwick discovered the presence of neutrons inside an atom.

NameDiscoveredYear
Wilhelm RöentgenX-Ray1895
Neils Bohrhydrogen atom structure and its spectrum1913
J J ThomsonElectron1897
James ChadwickNeutron1932
GoldsteinProton1886
John DaltonAtomic Theory1808
1662.

Why is ICI more reactive than `I_2`?

Answer» `I-Cl` bond is weaker than `I-I` bond and hence `Icl` is more reactive than `I_2`.
1663.

Give the reason for bleaching action of `Cl_2`.

Answer» In aqueous solution or in presence of moisture, `Cl_2` liberates nascent oxygen.
`Cl_2+H_2Oto2HCl+[O]`
Nascent oxygen thus produced brings about the oxidation of coloured substances present in vegetable and organic matter to colourless substances.
Coloured substance `+[O]to` colourless substance.
1664.

Why helium is used an diluent for oxygen in modern diving apparatus ? 

Answer»

He is used as a diluent for oxygen in modern diving apparatus because of its very low solubility in blood. 

1665.

Why should one prefer to use fresh fruits instead of frozen fruits?

Answer»

Two advantages of using fresh fruits 

  • They are cheap 
  • More nutritious
1666.

What is double circulation? How blood circulation is done in fishes having 2- chambered heart?

Answer»

The heart is a key organ for blood circulation and double circulation provides an effective way of circulation. In double circulation, blood follows two routes- one for oxygenated blood and other for deoxygenated blood. The blood vessels responsible for carrying out double circulation: 

Pulmonary artery: it takes deoxygenated blood to the lungs. 

Aorta: it carries oxygenated blood to body tissues 

• Pulmonary vein: it carries oxygenated blood 

• Vena cava: it takes deoxygenated blood. 

Fish have a single circuit for blood flow and a two chambered heart that has only a single atrium and a single ventricle. Because blood leaves the gills and immediately circulates to the rest of the body, the heart does not require additional chambers. The blood then arrives back at the atrium. This is called systemic circulation.

1667.

Which of the following immune responses is responsible for rejection of kidney graft? (1) Auto-immune response (2) Humoral immune response (3) Inflammatory immune response (4) Cell-mediated immune response

Answer»

Correct option: (4) Cell-mediated immune response

Explanation: 

The body is able to differentiate self and nonself and the cell-mediated response is responsible for graft rejection.

1668.

The molality of 15 % by wt solution of `H_2SO_4` isA. 1.8B. 2.2C. 1.2D. 2.8

Answer» Correct Answer - A
`m=(w_(A)xx1000)/(M_(A)xxw_(B))`
`=(15xx1000)/(98xx85)=1.8`
1669.

6gm of silver salt of tribasic acid gives 4.32 gm silver on strong heating. The molar mass of acid is:A. 126gmB. 129gmC. 123gmD. 252gm

Answer» `H_(3)Aoverset(AgNO_(3))rarrAg_(3)Aoverset(Delta)rarrAgdownarrow`
`POAc "on" Ag: 3xxn_(Ag_(3)A)=n_(Ag)`
`3xx(6)/(M.Wt_("Salt"))=(4.32)/(108)`
`M.Wt_("salt")=(3xx6xx108)/(4.32)=450`
M.Wt. acid `=450-108xx3+3xx1`
M.Wt. acid=`450-107xx3=129`
1670.

Identify the unsymmetrical bidentate ligands from the following?A. DMGB. GlyC. oxD. en

Answer» Correct Answer - B
1671.

For a chemical reaction R ----> P, the variation in the concentration [R] vs time [t] plot is given as:(i) Predict the order of the reaction. (ii) What is the slope of the curve?

Answer»

(i) Zero order reaction 

(ii) Slope = -k = \(\frac{d[R]}{dt}\)

1672.

Assertion `:-` `SF_(6)` cannot be hydrolysed `SP_(4)` can be Reason `:-` Six `F` atoms in `SF_(6)` prevent the attack of `H_(2)O` on sulphur atom of `SF_(6)`A. If both Assertion & Reason are True & the Reason is a correct explanation of the Assertion.B. If both Assertion & Reason are True but Reason is not a correct explanation of the Assertiion.C. If Assertion is True but the Reason is False.D. If both Assertion & Reason are False

Answer» Correct Answer - A
1673.

Arrange the following in the increasing order of the properties stated against them. (a) (i)`NH_(3)` , (ii)`PH_(3)`, (iii)`AsH_(3)` , (iv)`SbH_(3)`-boiling point. (b)(i)`Bi^(3+)` ,(ii)`Sb^(3+)` , (iii)`As^(3+)`-stability of `+3` oxidation state. ( c)(i)`NH_(3)`, (ii)`PH_(3)` , (iii)`AsH_(3)` , (iv)`SbH_(3)` , (v)`BiH_(3)`-reducing character.

Answer» Volatile nature: `NH_(3)ltSbH_(3)ltAsH_(3)ltPH_(3)`.
1674.

A gas absorbs a photon of `310nm` and emits three photons. If energy of emitted photons is in the raio `1:2:1` then select correct statement(s) :A. The wave length of emitted photons is in the ratio `1: 2:1`B. The wave length of emitted photons is in the ratio `2:1:2`C. The wave length of emitted photons is in the ratio `1240 nm`.D. The wavelength of least energatic photon is `1310 nm`.

Answer» Correct Answer - B::C
`E_(1) = (12400)/(lambda_(1)) :. (E_(1))/(E_(2)) = (lambda_(1))/(lambda_(2)) = (1)/(2) rArr lambda_(1) = 2lambda_(2)`
`E_(2) = (12400)/(lambda_(2))`
`E = (12400)/(3100) = 2 ((12400)/(lambda_(1))) + (12400)/(lambda_(2))`
`:. (12400)/(3100) = 2((12400)/(lambda_(1))) + ((12400)/(lambda_((1)/(2))))`
`(12400)/(3100) = 4 ((12400)/(lambda_((1)/(2))))`
`lambda_(1) = 4 xx 3100 Å`
`= 12400Å`
`= 1240 nm`
1675.

A canteen requires 13 dozen bananas per day. How many bananas will it require for 9 weeks?(a) 728 (b) 9828(c) 1404 (d) 9882(e) None of these

Answer»

(b) Requirement of bananas for 1 day in the canteen = 13 dozens 

Requirement of bananas for 9 weeks i.e. 63 days = 63 × 13 dozens = 63 × 13 × 12 = 9828.

1676.

What is 768 times 859?(a) 656276 (b) 661248(c) 658176 (d) 659712(e) None of these

Answer» (d) Required product = 768 × 859 = 659712
1677.

Which isotope of hydrogen (a) does not contain neutron, (b) contains equal number of protons and neutrons, ( c) is radioactive.

Answer» (a) Protium, (b) deuterium, ( c) tritium.
1678.

What is the product of the reaction between benzene and `H_(2)O_(2)`?

Answer» Correct Answer - Phenol
1679.

The CO in a 20L sample of gas was converted to `CO_2` by passing the gas over iodine pentoxide heated to `150^@C`: `I_2O_5(s)+5CO(g)to5CO_2(g)+I_2(g)` The iodine distilled at this temperature and was collected in an absorber containing 10 mL of 0.011 M `Na_2S_2O_3`.The excess hypo was back titrated with 5 mL of 0.001 M `I_2` solution. What must be the milligrams of Co in 1 L of the original gas sample ?A. 0.35 mgB. 0.70 mgC. 0.07 mgD. 3.5 mg

Answer» Correct Answer - A
meq of `l_2` liberated =10 x 0.011 x 1-5 x 0.001 x 2=0.1
Millimoles of CO=`0.1/2 xx5 =0.25`
Weight of CO in 1L =`0.25/20xx28 =0.35 mg`
1680.

The electrode potential `E_(Zn^(+2)//Zn) ` of a zinc electrode or `25^(@)C` with an aqueous solution of `0.1 M ZnSO_(4)` is `[E_((Zn^(+2)//Zn))=-0.76V]["assume"(2.3-3RT)/(F)=0.06at298K]`A. `+0.73V`B. `-0.79V`C. `-0.82V`D. `-0.70V`

Answer» Correct Answer - B
`Zn^(+2)+2e^(-)toZn`
`E_((Zn^(+2)//Zn))=E_((Zn^(+2)//Zn))^(@)`
`-(2.303RT)/(2F)log.([Zn])/([Zn^(+2)])`
`=-0.76-(0.06)/(2)log.(1)/([0.1])`
`=-0.76-0.03=-0.79V`
1681.

In a `p-n` junction diode having depletion layer of thickness `10^(-6)m`, the potential across it is `0.1V`. The electric field produced is

Answer» Correct Answer - C
`E=(V)/(d)`
1682.

A ray of light incident on a transparent block at an angle of incident `60^(@)`. If the refractive index of the block is `1.732`, the angle of deviation of the refracted ray isA. `15^(@)`B. `25^(@)`C. `30^(@)`D. `45^(@)`

Answer» Correct Answer - C
`del=i-r`, ` mu=(sin i)/(sin r)`, `sqrt(3)=(sin60)/(sinr)`
`r=30^(@)` , `del=60-30=30^(@)`
1683.

A given quantity of a ideal gas occupies a volume of 100 litres at 100K when the pressure 2 atm. Its temperature is decreased to 50K and its pressure decreases to 1 atm. What is the new volume?A. 50 litreB. 100 litreC. 200 litreD. 25 litre

Answer» Correct Answer - B
`P/T`=const. V does not change
1684.

One mole of an ideal gas requires 207 J heat to raise the temperature by 10K When heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by 5K, then the heat required isA. 62 JB. 124 JC. 12.4 JD. 6.2 J

Answer» Correct Answer - 1
`207=C_(p)xx10`
`DeltaQ=C_(v)xx5`
`C_(v)=C_(p)-R =12.4`
`DeltaQ=nQ DeltaT=62 J`
`C_(p)=207`
`C_(v)=20.7-8.3=12.4`
`DeltaQ=1xx12.4 xx5`
1685.

Explain briefly—(a) WWW(b) FAX

Answer»

(a) WWW—It stands for world wide web. It is a collection of static and dynamic web pages containing information (text, pictures, viders, graphics etc) for sharing with others.

(b) FAX—It stands for facsimile telegraphy. In this form of communication, electronic copy of a document is sent to distant places. The original written document is converted into trasmittable codes at the sending end. These codes are converted back into a copy of the original document at the receiving end.

1686.

Calculate the moment of inertia of a uniform disc of mass \( 10 kg \) and radius \( 60 cm \) about an axis perpendicular to its length and passing through its centre.

Answer»

Moment of inertia of a uniform disc about an axis perpendicular to its length = \(\frac{MR^2}{2}\)

\(\frac{10 * (0.6)^2}{2}\)

= 1.8 kg.m2

1687.

Total uniform charge on a sphere of radius 2 cm is 10uc. The max electric field due to sphere is

Answer»

Using Gauss law

E. ds = \(\frac{q}{\varepsilon_0}\)

E = \(\frac{q}{\varepsilon_0.ds}\)

E = \(\frac{10\times10^{-6}}{8.85\times10^{-12}\times4\pi R^2}\) 

E = \(\frac{10\times10^{-6}}{8.85\times10^{-12}\times4\times3.14(0.02)^2}\) 

E = 227.6 x 106 N/C

E = 227 MN/C

1688.

Give any two properties of photon

Answer»

The basic properties of photons are: 

(1) They have zero mass and zero rest energy. They only exist as the moving particles. (2)They have no electric charge.

1689.

To protest against the Jalianwala Bagh massacre, who returned his title of 'knighthood' to British?1. Mahatma Gandhi2. Gopal Krishna Gokhale3. Ravindranath Tagore4. Maulana Azad

Answer» Correct Answer - Option 3 : Ravindranath Tagore

The correct answer is Ravindranath Tagore.

  • Ravindranath Tagore returned his title of 'knighthood' to the British to protest against the Jalianwala Bagh massacre.

  • The Jallianwala Bagh massacre, also known as the Amritsar massacre, took place on 13th April 1919.
    • Reginald Dyer ordered troops of the British Indian Army to fire their rifles into a crowd of unarmed Indian civilians.
    • At least 379 people were massacred and 1200 injured.
    • After this incident shocked Rabindranath Tagore (the first Indian and Asian Nobel laureate) to such an extent that he renounced his knighthood and stated that "such mass murderers aren't worthy of giving any title to anyone".

  • Mohandas Karamchand Gandhi known as Mahatma Gandhi was an Indian lawyer, anti-colonial nationalist, and political ethicist, who employed nonviolent resistance to lead the successful campaign for India's independence from British rule.
  • Gopal Krishna Gokhale was an Indian liberal political leader and a social reformer during the Indian Independence Movement.
1690.

In the Jalianwala Bagh Massacre of 1919 who ordered the shooting of peaceful protesters?1. General Reginald E. H. Dyer2. Michael O’ Dwyer3. Viceroy Lord Chelmsford4. Lord William Hunter

Answer» Correct Answer - Option 1 : General Reginald E. H. Dyer

The correct answer is General Reginald E. H. Dyer.

  • General Reginald E. H. Dyer ordered the shooting of peaceful protesters in the Jalianwala Bagh Massacre of 1919.

  • The Jallianwala Bagh massacre is also known as the Amritsar massacre.
  • The government of India passed the Rowlatt Acts in early 1919 which essentially extended the repressive wartime measures.
  • The acts were met by widespread anger and Dyer was given the task of restoring order.
  • He had put a ban on public gathering.
  • A crowd of at least 10,000 men, women, and children gathered in the Jallianwala Bagh to protest peacefully which only had one exit.
  • General Dyer and his soldiers arrived and sealed off the exit and opened fire on protestors.

  • Micheal O' Dwyer
    • He was Lt. governor of Punjab when Jallianwalah massacre took place.
    • He was assassinated by Udham Singh in 1940.
  • Lord Chelmsford
    • He was viceroy of India from 1916 to 1921.
    • He is known for introduction of Montague-Chelmsford reforms of 1919, also known as Government of India Act,1919.
1691.

The Melghat Tiger reserve is in __________.1. Orissa2. Karnataka3. Assam4. Maharashtra

Answer» Correct Answer - Option 4 : Maharashtra

The correct answer is Maharashtra.

  • Melghat tiger reserve is located in the Amravati District of Maharashtra.
    • This reserve has Tapti River and the Gawilgadh ridge of the Satpura Range forming its boundaries.
    • It is one of the nine tiger reserves to be notified under Project tiger of 1973.

State

Name of Tiger Reserve

Maharashtra

Melghat, Tadoba-Andhari, Pench, Sahyadri, Nawegaon-Nagzira, Bor

Telangana

Kawal, Nagarjunasagar Srisailam

Tamil Nadu

Kalakad-Mundanthurai, Mudumalai, Sathyamangalam, Anamalai

Rajasthan

Ranthambore, Sariska, Mukandra Hills

1692.

Determine the density of cesium chloride which crystallises in a bcc type structure with the edge length 412. 1 pm .The atomic masses of Cs and C1 are 133 and 35.5 respectively .

Answer» Density of CsC1 crystal = 4.0 `g cm^(-3)`
1693.

Who was the last ruler of Burdwan Raj?1. Bijay Chand Mahtab2. Uday Chand Mahtab3. Maharaj Kumari Jyotsna Dutt4. None of these

Answer» Correct Answer - Option 2 : Uday Chand Mahtab

The correct answer is Uday Chand Mahtab.

  • Uday Chand Mahtab was the Maharajadhiraja Bahadur of Bardhaman Raj.
  • He was the last ruler of Burdwan Raj (1941 to 1955).
  • He was the eldest son of Bijay Chand Mahtab.
  • He was honoured by:
    • King George V Silver Jubilee Medal in 1935.
    • King George VI Coronation Medal in 1937.
    • Knight Commander of the Order of the Indian Empire in 1945.

Bijay Chand Mahtab
  • He was the 1st ruler of Burdwan Estate, Bengal in British India (1887 to 1941).
  • He got title "Maharajadhiraja Bahadur" in 1906.
Maharaj Kumari Jyotsna Dutt
  • She was the daughter of Maharajadhiraja Bahadur Sir Uday Chand Mahtab of Burdwan.
1694.

If E1 = a1x + b1y + c1z + d = 0, E2 = a2x + b2y + c2z + d = 0, are two intersecting planes which intersect in a line L, then the equation of any plane passing through line L is of the form λ1E1 + λ2E2 = 0 where |λ1| + |λ2| ≠ 0.

Answer»

Suppose E ≡ px + qy + rz + t = 0 is a plane containing the line L. Let vector n1 = (a1, b1, c1) and vector n2 (a2, b2, c2) be the normals to E1 = 0 and E2 = 0, respectively. Hence, vector (n1 x n2) is parallel to the line L so that (b1c2 - b2c1 - c2a1, a1b2 - a2b1) are the DRs of the line L. Since one of the DRs is not zero, we consider that a1b2 - a2b1 ≠ 0. Therefore, the equations a1x + a2y = p and b1x + b2y = q are uniquely solvable for a non-zero solution and let x = λ1 and y1 = λ2 be the solution. Therefore,

a1λ1 + a2λ2 = p and b1λ1 + b2λ2 = q. Let k = r - λ1c1 - λ2c2 and l = t - λ1d1 - λ2d2 so that

E ≡ λ1(a1x + b1y + c1z + d1) + λ2(a2x + b2y + c2z + d2) + kz + l = 0 ...(1)

Suppose P (x1, y1, z1) and Q(x2, y2, z2), where z1 ≠ z2, are points on line L. Therefore,

a1x1 + b1y1 + c1z1 + d1 = 0

and a2x1 + b2y1 + c2z1 + d2 = 0

so that point P(x1, y1, z1) satisfies the equation E = 0 and similarly point Q(x2, y2, z2) satisfies E = 0 [from Eq. (1)]. Therefore, kz1 + l = 0, kz2 + l = 0 and z1 ≠ z2

k = 0 and then l = 0. Hence, the equation of the plane E = 0 is of the for λ1E1 + λ2E2 = 0.

1695.

A laptop seller sells some laptops in such a way that selling price of 36 laptops is the same as the cost price of 30 laptops. So the percentage of gain or loss is:1. \(16{{2} \over 3}\)% Loss2. 20% Gain3. \(16{{2} \over 3}\)% Profit4. 20% Loss

Answer» Correct Answer - Option 1 : \(16{{2} \over 3}\)% Loss

Given:

SP of 36 laptops = CP of 30 laptops

Formula used:

P = S.P. – C.P.

L = C.P. – S.P.

P% = (P/C.P.) × 100

L% = (L/C.P.) × 100

Where,

P → Profit 

L → Loss

SP → Selling price

CP → Cost price

Calculations:

Let the CP of 1 laptop be Rs.y and its SP be Rs.x.

So the SP of 36 laptops = 36x

And the CP of 30 laptops = 30y

According to the question,

36x = 30y

⇒ x ∶ y = 5 ∶ 6

Now let x and y be 5k and 6k respectively.

Since x < y

So L = 6k – 5k = k

L% = (L/CP) × 100

⇒ L% = (k/6k) × 100 = \(16{{2} \over 3}\)%

∴ The required Loss% is \(16{{2} \over 3}\)%.

1696.

What are the rights guaranteed by the Consumer Protection Act of 1986?

Answer»
  • The right to be protected against the marketing of goods and services which are hazardous to life and property.
  • The right to be informed about the quality, quantity, standard and prices of goods and services.
  • The right to have access to a variety of goods and services at a reasonable price.
  • The right to seek redressal against unfair trade practices or in case the product or service falls short of the expectations of the consumer.
  • The right to consumer education.
1697.

Abhay and Bhawna invested Rs. 30,000 and Rs. 28,000 respectively in a business. Abhay left the business with his money after 8 months. What is the share of Abhay in the profit at the end of the first year if they earned a profit of Rs. 84,000?1. Rs. 37,0002. Rs. 35,0003. Rs. 42,0004. Rs. 38,000

Answer» Correct Answer - Option 2 : Rs. 35,000

Given:

Abhay's investment = Rs. 30,000

Bhawna's investment = Rs. 28,000

Total profit = Rs. 84,000

Concept used:

Divide the total profit according to investment ratio.

Calculations:

The total investment of Abhay in 8 months = 30000 × 8

The total investment of Bhawna in 4 months = 28000 × 12

The ratio of equivalent capitals of Abhay and Bhawna = (30000 × 8) ∶ (28000 × 12) = 5 ∶ 7

Thus Abhay’s share = 84000 × (5/12) = Rs. 35,000

∴ The share of Abhay is Rs. 35,000.

1698.

Three friends A, B and C started a business. A invests 100% more amount than invested by B whereas C invests 40% of the amount invested by A. If the ratio of time duration of investment made by A, B and C is 2 : 4 : 3 and the share of C in the profit is Rs.1080. What will be the total profit earned?1. 40002. 46803. 33604. 4420

Answer» Correct Answer - Option 2 : 4680

Given:

Investment of A = 2 × Investment of B (100% more)

Ratio of time duration for which amount is invested

A : B : C = 2 : 4 : 3

Share of C in profit = Rs 1080.

Concept used:

Profit earned = Amount invested × Time

Calculation:

Let B invests Rs. X

Then, A's investment = Rs. 2X

and C's investment = Rs. (2/5) × 2X  (40% = 2/5)

= 4/5X

ATQ,

Ratio of profit

= (2X × 2) : (X × 4) : (4/5 × X × 3)

= 4X : 4X : 12X/5

= 5 : 5 : 3

Share of C = Rs. 1080

Required Total profit = 1080 × 13/3 = Rs. 4680

1699.

Jay invested Rs. 65000 for a period of 12 months. His friend Abhay invested for 50% of the time than Jay invested and invested an amount which is 75% more than the amount jay invested. Find the ratio of their profits.1. 7 : 102. 8 : 73. 3 : 84. 8 : 5

Answer» Correct Answer - Option 2 : 8 : 7

Given:

Jay invested = Rs. 65000 for 12 months

Abhay invested = 75% more than Jay for 50% times of Jay

Formula: ­

Ratio of Profit = ratios of product of Amount invested and time

Calculation:

Person

Jay

Abhay

Profit

65000 × 12

113750 × 6


Ratio of profit = 65000 × 12 ∶ 113750 × 6

⇒ 8 ∶ 7

The ratio of their profits is 8 7.

1700.

In a business, A and C invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by A and B was 3 : 2. If their total profit is Rs. 1,573. How much amount B will receive?1. Rs. 3632. Rs. 4843. Rs. 6054. Rs. 726

Answer» Correct Answer - Option 2 : Rs. 484

Given - 

A : C = 2 : 1, A : B = 3 : 2

Solution - 

Let the amount of B be PB.

⇒ A : C = 2 : 1, A : B = 3 : 2

⇒ A : B : C = (2 × 3) : (2 × 2) : (1 × 3)

⇒ A : B : C = 6 : 4 : 3

⇒ The amount of B = PB = (4/13) × 1573 = Rs. 484

∴ the amount received by B = Rs. 484