the weekly bjp wins in gujarat and hp - classmate to landmine ban treaty: sri lanka becomes the...

CONTENTS

77Weekly Current Affairs

by CLASSMATE ACADEMY

English & Telugu Weekly

Useful for all Central & State Govt. Competitive Examinations

18 - 24 December 2017For Private Circulation Only

www.classmateacademy.com

For any queries feel free to call Toll Free No:- 1800 208 2016

Features Page No.National 2International 2Economy 3Bilateral 3Algebra 4,5Telangana 6Andhra Pradesh 6 Science & Technology 7Environment 7Sports 7Awards 7Persons in News 7Obituary 7Dairy of Events 8Do You Know? 8

The WeeklyThe Weekly

Bharatiya Janata Party

emerged victorious in and Gujarat

Himachal Pradesh elections. The election thcounting had taken place on the 18 of December. In

Gujarat, out of 182 seats, had got . The minimum BJP 99 seats

majority to form the Government is 92. This is the sixth

consecutive . The party has been in rule victory for BJP in Gujarat

in the state since 1997.

In Himachal Pradesh Bharatiya Party Janata Party has won 44, out

of 68 seats. The Sitting ruling party Congress could win only 21 seats

in the state.

With Bharatiya Janata Party (BJP) back in power for the

sixth straight term in Gujarat and taking Himachal away

from the Congress, the party now controls 19 of the 29

states.

At present, either the BJP or one of its partners in

the National Democratic Alliance (NDA) is in

control of 19 states. Prior to the win in the

General Election, BJP was in power in the five

states of Gujarat, Rajasthan, Madhya

Pradesh, Chhattisgarh, and Nagaland.

BJP's ally, the Sikkim Democratic Front

(SDF) retained the state of Sikkim in the

election that was held simultaneously

with the Lok Sabha polls. Another BJP

ally, the Telugu Desam Party (TDP)

formed bifurcated Andhra Pradesh's

first Government.

After that BJP had won….

Maharashtra, Haryana, Jharkhand,

Jammu and Kashmir, Arunachal Pradesh

(from the ruling Congress, defected to BJP),

Uttarakhand and Uttar Pradesh.)

In Goa and Manipur, where BJP won lesser seats than

the Congress, the party still managed to stitch together

an alliance with regional parties and independents, to form a

Government in both the states.

Now the BJP has won Gujarat and Himachal.

2018 elections will be held in Meghalaya, Nagaland, Tripura,

Karnataka, Rajasthan, Chhattisgarh and Mizoram.

BJP wins in Gujarat and HPBJP wins in Gujarat and HP

PA R T Y � � � SE A T S

BJP� � � 99

Congress� � 80

Others� � � 3

Himachal Pradesh (68)

BJP� � � 44

Congress� � 21

Others� � � 3

GUJARAT (182)GUJARAT (182)

SSC

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18 - 24 December 20172

By Classmate AcademyBy Classmate Academy

NationalNationalBodhi Parva inaugurated: Ministerof State for Culture Mahesh Sharmainaugurated the three days ‘BodhiParva: BIMSTEC Festival of BuddhistHeritage’ in New Delhi. India hostedthe ”Bodhi Parva: BIMSTEC Festivalof Buddhist Heritage” from 8 to 10December as part of celebrations ofthe 20th anniversary of BIMSTEC.

The Festival had diversecomponents including an exhibitionof international and IndianBuddhist art and architecture ,discourses by eminent scholars andpractitioners of Buddhism,guidedmeditation and chanting by Buddhistmonks and choir, screening of filmon Buddhism, dance and musicperformances.

‘We The Women’ held in Mumbai:UN Women in collaborationwith Facebook inaugurated a two-dayevent in Mumbai titled ‘We TheWomen’ to empower and recognisethe magnificent contribution ofwomen in our society. The eventwitnessed speakers from differentwalks of life including Textile and I&BMinister, Smriti Irani, Sakshi Malik,Mithali Raj, Ekta Kapoor, KaranJohar and others.

Draft legislation banning instanttriple talaq cleared: TheGovernment on the 15th of Decemberapproved a draft law under which thepractice of giving instant triple talaqwould be made illegal and void andwould attract a jail term of three yearsfor the husband.

The draft ‘Muslim Women Protectionof Rights on Marriage Bill ’ wasconsidered by the Union cabinetwhich gave its nod.

The draft was prepared by an inter-ministerial group headed by HomeMinister Rajnath Singh. The othermembers included External AffairsMinister Sushma Swaraj, FinanceMinister Arun Jaitley, LawMinister Ravi Shankar Prasad and hisjunior in the ministry P P Chaudhary.

The proposed law would only beapplicable on instant triple talaq or‘talaq-e-biddat’ and it would give powerto the victim to approach a magistrateseeking “subsistence allowance” forherself and minor children.

Cabinet passes Bill to replace MCI:With the Union Cabinet approving theNational Medical Commission Bill,

2017, the power to recognise any newmedical institution and lay downpolicies for maintaining qualitystandards in medical education wouldvest with the panel once it is set up.

The commission will frame guidelinesfor determination of fees inprivate medical institutions anddeemed universit ies, essential lyputting a cap on the fees charged bythese.

Uttar Pradesh State governorlaunches Kumbh 2019 logo: UttarPradesh Governor Ram Naik hasunveiled a new multi-coloured logo forthe Kumbh Melathat is scheduled tobe held in Allahabadin January 2019. The logo, whichcomprises temples,seers, a Kalash(pitcher) and a‘Swastika’, was launched by thegovernor. He launched the Kumbh’stagline ”Chalo Kumbh Chalo-Chalo,Kumbh Chalo”.

Meghalaya launches India’s firstsocial audit law: Meghalaya becamethe first state in the country tooperationalize The MeghalayaCommunity Participation and PublicServices Social Audit Act, 2017, a lawthat makes a social audit ofgovernment programmes and schemesa part of government practice. It waslaunched by Chief Minister MukulSangma at a national convention inShillong. The law makes social auditspart of the system as earlier it wascivil society initiative rather thanGovernment-mandated.

InternationalInternationalMount Hope Becomes UK’s NewHighest Mountain: Britain has a newhighest mountain after new satellitedata revealed the peak was almost 400metres taller than previously thought.Mount Hope, in the British AtlanticTerritory, was recently re-measured andfound to be 377 metres taller thanprevious calculations.This takes it to 3,239 metres,meaning it knocks Mount Jackson,

the current title holder at 3,184metres, off the top spot.Sri Lanka becomes 163rd nation toaccede to landmine ban treaty: SriLanka becomes the 163rd nation toaccede to the anti-personnel mine banconvention, fulfilling the pledge itmade last year to jo in theinternational community insupporting the ongoing landmineclearance programme.The Ministry Convention on theProhibition of the Use, Stockpiling,Production and Transfer of Anti-Personnel Mines and on TheirDestruction, commonly referred to asthe Mine Ban Treaty or Ottawa Treaty,was adopted on September 18, 1997.Youthquake’ is Oxford dictionaries’word of the year: According to Oxfordlexicographers there is a fivefoldincrease in the use of the term between2016 and 2017. And that is why, OxfordDictionaries has named ‘youthquake’2017’s word of the year. It means “asignificant cultural, political, or socialchange arising from the actions orinfluence of young people.”The word, coined almost 50 years agoby then-Vogue editor Diana Vreeland,has been used to describe phenomenaincluding surging youth support forBritain’s Labour Party and theelection of 30-something leaders inFrance and New Zealand.Norway Becomes First Nation toShut National Broadcasts on FM:Norway became the world’s firstcountry to shut down nationalbroadcasts of its FM network bycompleting its transition to digitalradio. The transition will allow forbetter sound quality, a greater

number of channels and morefunctions, at a cost eight times lowerthan FM radio.WHO certifies Gabon as polio free:The World Health Organisation hasdeclared Gabon a “polio-free country”,given the lack of new reported orsuspected cases in the central Africancountry. According to a WHO statementobtained on the 16th of December, theUN health agency nonethelessrecommended taking the necessarysteps to continue monitoring forpossible signs of the disease. Cases of polio have decreased by 99per cent since 1988, when polio wasendemic in 125 countries and350,000 cases were recordedworldwide. Now the disease isendemic only in Afghanistan andPakistan, where the WHO recordedfour cases this year two in eachcountry. Last year, there were 37cases globally.Indian diaspora is the largest in theworld: The Indian diaspora is thelargest in the world, with over 15million migrants from India living

abroad, according tothe World MigrationReport 2018published by theInternationalOrganisation forMigration, theUnited Nations

migration agency. Because the countryhas the largest number of migrantsabroad, India also receives the highestamount in remittances ($68.91 billion).The largest migration corridor is fromIndia to UAE, where 3.5 million Indianswere residing in 2015.


18 - 24 December 20173


EconomyEconomyUN puts GDP growth at 6.7%:Indicating a revival in the New Year,the United Nations, in its latestreport, has forecast that the Indianeconomy will grow by 7.2 per cent in2018 and 7.4 per cent in 2019. This ishowever; lower than its earlierforecast of 8.2 per cent growth for nextyear and 7.8 per cent growth in 2019.For 2017, it has pegged GDP growthat 6.7 per cent.

Goa CM to unveil India’s firstmobile food testing lab: India’s‘first’ mobile food testing laboratory,which will enable on-the-spot foodsafety tests to be conducted in Goa,was launched by ChiefMinister Manohar Parrikar onDecember 10, 2017.

“This is the first ever ‘Food Safety onWheel’ mobile laboratory in thecountry. The vehicle is equipped toconduct on-the-spot tests to checkthe food quality. It will also check thehygiene level of water.

Govt. okays sops for leathersector, waives fee for small digitalpayments: The Cabinet on the 15th

of December cleared a Rs 2,600-croreproposal to boost job creation in theleather industry, lowered the

merchant discount rate (MDR) ontransactions up to Rs 2,000 throughdebit cards, BHIM UPI or Aadhaar-enabled payment systems to promotedigital transactions, and approved aseries of Bills, including oneamending the Specific Relief Act tosmoothen enforcement of contracts.

The Cabinet also approved anotherBill to amend the NegotiableInstruments Act, 1881, to provide forinterim compensation to chequepayees at the trial and appeal stages.

According to the InformationTechnology Minister Ravi ShankarPrasad, the MDR would be borne bythe government for two years witheffect from January 1, 2018.

The Rs 2,600-crore package for theleather industry, along the lines of atextile package declared last year,aims to provide jobs to 324,000 peopleover the next three years through taxand non-tax incentives.

GST Council decides to implementuniform system of e-way bill: TheUniform System of e-way Bill for inter-State as well as intra-State movementof goods will be implemented acrossthe country by the 1st of June nextyear. The decision to this effect wastaken by the GST Council at its 24th

Meeting held on the 16 th ofDecember. The meeting was heldthrough video conferencing and waschaired by Finance Minister ArunJaitley.

The System for e-way bill generationwill be ready by 16th of next monthand the States may choose theirown timings for its implementationon any date before 1st June nextyear.

WTO Summit ends in deadlock:

Dates: 10th to 13th of December, 2017

Venue: Buenos Aires, Argentina

The 11th ministerial conference ofWorld Trade Organisation (WTO)ended in stalemate late on the 13th

ofDecemberasmember-nationsfailed to

set aside differences on issuesranging from the role of the trade bodyas a multilateral institution to publicprocurement programmes for foodsecurity.

The US refusal to pursue a permanentsolution to the issue of publicprocurement as committed by it,along with all others at the Nairobiministerial in 2015 also cast a pallover the sanctity of pledges made atthe WTO.

The only worthwhile agreement is aconsensus on including a workprogramme on disciplines onfisheries subsidies with a view toarriving at a decision by the nextministerial in 2019 at the latestministerial was also in sync withIndia’s position.

Prabhu bats for food subsidies atWTO meet: India made animpassioned case at the World TradeOrganization for the right to giveunrestricted food procurementsubsidies, stating that millions ofimpoverished people depended on it.

This is a matter of survival for 800million hungry and undernourishedpeople in the world. A successfulresolution of this issue would fulfilour collective commitment to theglobal community.

BilateralBilateralIndia, China, Russia vow to boostmaritime trade, fight terrorism:Notwithstanding the South China Seadispute, India, China and Russia onthe 10 th of December agreed tosupport freedom of navigation andoverf light rights based on theprinciples of international law in aneffort to boost maritime trade.

This was reiterated during the 15thMeeting of the Foreign Ministers ofRussia, India and China, also knownas the RIC. Foreign Minister of ChinaWang Yi and his Russia counterpartSergei Lavrov held the meeting withMinister of External Affairs SushmaSwaraj.

On the issue of tackling terrorism,the joint communiqué called for “swiftand effective” implementation ofexisting international commitmentson countering terrorism, including theUN Global Counter-TerrorismStrategy, re levant UN SecurityCouncil resolutions and targetedsanctions relating to terrorism andthe FATF International Standardsworldwide.

India and Morocco Sign MoU forEnhanced Cooperation inHealthcare: India and Moroccosigned an MoU for enhancedcooperation in the health sector inNew Delhi. The main areas ofcooperation are

Non-communicable diseases,including child cardiovasculardiseases and cancer;

Drug Regulation andPharmaceutical quality control;

Maternal, child and neonatalhealth;

Hospitaltwinningfor theexchangeof goodpractices.

WB loan for SANKALP project: TheUnion Government signed US $250million loan agreement with WorldBank for “Skills Acquisition andKnowledge Awareness for LivelihoodPromotion.” The World Bank’sfinancing arm International Bank forReconstruction and Development(IBRD) will provide this loan. Themain objective is to enhanceinstitutional mechanisms for skillsdevelopment and increase access toquality and market-relevant trainingfor the workforce.


18 - 24 December 20174


ALGEBRA• Indices:

m n m na .a a m

m

1 aa

m

m nn

a aa

nm m.na a

1/mm a a

m m/nn a a• na 0 a 0 n 0

na 1

n 0, when a 0

n any real number,

when a 1

m na a m n a 1 • Surds: When a root of a rational number

n a cannot be exactly obtained as arational number, then this root is called asurd.

• Conjugates:

a b is conjugate of a bExample 1:

What is the square root of 4 2 3Solution :

4 2 3 3 1 2 3

2 23 1 2 3 1

Comparing with a2+b2+2ab=(a+b)2

we get 2 223 1 2 3 1 3 1

24 2 3 3 1 3 1

Example 2:The smallest of

8 5, 7 6, 10 3 and 11 2 is

(A) 8 5 (B) 7 6

(C) 10 3 (D) 11 2Solution : (D)

Given surds:

8 5, 7 6, 10 3, 11 2 Squaring:

13 2 40,13 2 42,13 2 30,13 2 22

22 is smallest among22, 30, 40, 42

we can say 11 2 is the smallest amongthe given surds.

Example 3:

Simplify 6 6 6 .......

Solution : Let 6 6 6 ....... y 6 y y

26 y y y y 1 6 3 2 y 3 Example 4:

Simplify 5 5 5.......Solution :

Let 5 5 5......... y

5y y 25y y y 5

• Square formulae:

2 2 2a b a b 2ab

2 2 2a b a b 2ab

2 2 2 2a b a b 2 a b

2 2a b a b 4ab

2 2 2a b (a b) 2ab

2(a b) 2ab 2 2a b (a b)(a b)

2a b c 2 2 2a b c

2(ab bc ca) 4 2 2 4x x y y

2 2 2 2(x xy y )(x xy y )

Example 5:

If 3 2x3 2

, 3 2y3 2

, find

2 2x y .Solution :

Rationalising the denominators of x, y

2 2x 3 2 , y 3 2

2 2x y 2 3 2 10

& xy 1

2 2 2x y (x y) 2xy 210 2 98

Example 6:

Factorise 4 2a a 1 Solution :

Put x a and y 1 in the equation,

4 2 2 4x x y y

2 2 2 2(x xy y )(x xy y ) 4 2a a 1 2 2(a a 1)(a a 1)

Example 7:If 2 2x xy y 13 and

4 2 2 4x x y y 91 ,find x , y? (x y 0) .

Solution :Using equation

4 2 2 4x x y y

2 2 2 2(x xy y )(x xy y )

2 2 91x xy y 7.......(1)

13

2 2x xy y 13.......(2)

Adding (1) and (2) 2 2x y 10

Subtracting (1) from (2) xy 32 2 2(x y) x y 2xy

10 2 3 16

2 2 2(x y) x y 2xy 10 2 3 4

x y 4 ( x, y 0) x y 2 ( x y) x 3 (by adding above 2 equations) y 1

• 2 2 2a b c ab bc ca

2 2 21[2a 2b 2c 2ab 2bc 2ca]

2

2 2 2 21[(a b 2ab) (b c 2bc)

2

2 2(c a 2ca)]

2 2 21 [(a b) (b c) (c a) ]2

• 2 2 2a b c ab bc ca a b c

Proof: 2 2 2a b c ab bc ca 2 2 2a b c ab bc ca 0

2 2 21[(a b) (b c) (c a) ] 0

2

a b 0, b c 0, c a 0

a b, b c, c a a b c

• 2 2a 1 a 2a 1

2 2a 1 a 2a 1

2a 1 (a 1)(a 1) Example 8:

If a2 + b2 = 2a + 2b2, find a, b?Solution :

Above equation can be written asa22a + 1 + b22b + 1 = 0 (a1)2 + (b1)2 = 0 a1 = 0, b1 = 0 a = b = 1

• Cube Formulae:(a + b)3 = a3 + b3 + 3ab(a + b)

= a3 + 3a2b + 3ab2 + b3

(ab)3 = a3b3 3ab(a b) = a33a2b + 3ab2b3

a3 + b3 = (a + b)(a2 + b2ab)a3 b3 = (ab)(a2 + b2 + ab)

Example 9:

If a b 1b a , find a3+b3.

Solution:

a b 1b a

2 22 2a b 1 a b ab

ab

2 2a b ab 0 (a2 + b2 ab) is a factor of a3 + b3

a3 + b3 = (a + b)(a2 + b2ab) = (a + b) 0 = 0

Example 10:Factorise a6b6

Solution :a6b6 = (a3)2 (b3)2

= (a3 + b3)(a3b3) = (a + b)(a2 + b2 ab)(ab)(a2 + b2 + ab)• (a + 1)3 = a3 + 3a2 + 3a + 1

(a - 1)3 = a33a2 + 3a1a3 + 1 = (a + 1)(a2 a + 1)a31 = (a1)(a2 + a + 1)

Example 11:If x2 + y2 = 2(xy)2, find x, y..

Solution :x2 + y2 = 2(xy)2 (x22x + 1) + (y2 + 2y + 1) = 0 (x1)2 + (y + 1)2 = 0x = 1, y = 1

Example 12:If x3 + 3x = 3x2 + 9 find x.

Solution :x3 + 3x = 3x2 + 9x33x2 + 3x1 = 8 (x1)3 = 23 x1 = 2 x = 3

Example 13:

If 1x 1x

find x3.

Solution :21 x 1x 1 1

x x

2x 1 x 2x x 1 0

(x2 + x + 1) is a factor of x31x31 = (x1) (x2 + x + 1)

= (x1) 0 = 03x 1

• 2

22

1 1 1x x 2 xx x x

22

1x 2x

22

2

1 1x x 2x x

22

1 1 1x x xx x x

33

3

1 1 1x x 3 xx x x

33

3

1 1 1x x 3 xx x x

3 23 2

1 1 1x x x 1x x x

3 23 2

1 1 1x x x 1x x x

Example 14:

If 1x 3x

, find

(i) 1xx

(ii) 22

1xx

(iii) 33

1xx

(iv) 44

1xx

(v) 55

1xx

Solution :

(i)2

22

1 1x x 2x x

22

1x 2 4x

=21x 4

x

2

21x 3 4 5x

1x 5x

(ii) 2 2

2 2

1 1x x 2 2x x

2

21x 2 3 2 7x

(iii) 33

1xx

3

3

1 1 1x 3 x 3 xx x x

31 1x 3 xx x

3 33

1x 3 3 3 18x

(iv) 44

1xx

2

222

1x 2 2x

22

2

1x 2x

4 24

1x 7 2 47x

(v) 2 3

2 3

1 1x xx x

55

1 1x xx x

55

17 18 x 3x

55

1x 123x

• If 1x kx

, then

2 22

1(a) x k 2x

3 33

1(b) x k 3kx

21(c) x k 4x

• If 1x mx

, then

2 22

1(a) x m 2x

3 33

1(b) x m 3mx

21(c) x m 4x

•1x 2 x 1x

1x 2 x 1x

61x 3 x 1x


18 - 24 December 20175


:

m n m na .a a m

m

1 aa

mm n

na aa

nm m.na a1/mm a a

m m/nn a ana 0 a 0 n 0

n = 0, a = 0n = a = 1

a =1 n

m na a m n a 1

a

n a

a b a b:

4 2 3 4 2 3 3 1 2 3

2 23 1 2 3 1

a2+b2+2ab=(a+b)2

2 223 1 2 3 1 3 1

24 2 3 3 1 3 1

:

8 5, 7 6, 10 3 11 2

(A) 8 5 (B) 7 6

(C) 10 3 (D) 11 2 (D)

8 5, 7 6, 10 3, 11 2

13 2 40,13 2 42,13 2 30,13 2 22

22, 30, 40, 42 22 11 2

:

6 6 6 .......

6 6 6 ....... y

6 y y 26 y y y y 1 6 3 2 y 3

:

5 5 5.......

5 5 5......... y

5y y 25y y y 5

:

2 2 2a b a b 2ab

2 2 2a b a b 2ab

2 2 2 2a b a b 2 a b

2 2a b a b 4ab 2 2 2a b (a b) 2ab 2(a b) 2ab

2 2a b (a b)(a b)

2a b c 2 2 2a b c 2(ab bc ca)

4 2 2 4x x y y 2 2 2 2(x xy y )(x xy y )

:

3 2x3 2

, 3 2y3 2

,

2 2x y .:

x, y

2 2x 3 2 , y 3 2

2 2x y 2 3 2 10

& xy 12 2 2x y (x y) 2xy

210 2 98 :

4 2a a 1

:

x = a y = 1

4 2 2 4x x y y 2 2 2 2(x xy y )(x xy y )

4 2a a 1 2 2(a a 1)(a a 1)

:2 2x xy y 13 4 2 2 4x x y y 91

x , y (x y 0)

:4 2 2 4x x y y

2 2 2 2(x xy y )(x xy y ) 2 2 91x xy y 7.......(1)

13

2 2x xy y 13.......(2)

2 2x y 10 xy 3

2 2 2(x y) x y 2xy 10 2 3 16 2 2 2(x y) x y 2xy 10 2 3 4 x y 4 ( x,y 0) x y 2 ( x y) x 3

y 1

2 2 2a b c ab bc ca 2 2 21

[2a 2b 2c 2ab 2bc 2ca]2

2 2 2 21[(a b 2ab) (b c 2bc)

2

2 2(c a 2ca)]

2 2 21 [(a b) (b c) (c a) ]2

• 2 2 2a b c ab bc ca a b c

:2 2 2a b c ab bc ca

2 2 2a b c ab bc ca 0 2 2 21

[(a b) (b c) (c a) ] 02

a b 0, b c 0, c a 0 a b, b c, c a a b c

• 2 2a 1 a 2a 1

2 2a 1 a 2a 1 2a 1 (a 1)(a 1)

:

a2 + b2 = 2a + 2b2, a, b

:

a22a + 1 + b22b + 1 = 0 (a1)2 + (b1)2 = 0 a1 = 0, b1 = 0 a = b = 1

:(a+b)3=a3+b3+3ab(a+b)=a3+3a2b+3ab2+b3

(ab)3=a3b33ab(ab)=a33a2b+3ab2b3

a3+b3=(a+b)(a2+b2ab)

a3-b3=(ab)(a2+b2+ab)

:

a b 1b a a3+b3

:a b 1b a

2 2

2 2a b 1 a b abab

2 2a b ab 0 a3+b3 (a2+b2ab)

a3+b3=(a+b)(a2+b2ab)=(a+b)0=0:

a6b6

: a6b6=(a3)2 (b3)2

=(a3+b3)(a3b3) =(a+b)(a2+b2ab)(ab)(a2+b2+ab)• (a+1)3=a3+3a2+3a+1

(a-1)3=a33a2+3a1a3+1=(a+1)(a2a+1)a31=(a1)(a2+a+1)

:

x2+y2=2(xy)2 x, y

: x2+y2=2(xy)2(x22x+1)+(y2+2y+1)=0(x1)2+(y+1)2=0x=1, y=1

:

x3+3x=3x2+9 x

: x3+3x=3x2+9

x33x2+3x1=8 (x1)3=23x1=2 x=3

:

1x 1x

x3

:21 x 1x 1 1

x x

21 x 1 x 2x x 1 0

(x2+x+1)(x31) =(x1)(x2+x+1)=(x1)0=0

3x 1

• 2

22

1 1x x 2 xx x

22

1 1x 2x x

22

2

1 1x x 2x x

22

1 1 1x x xx x x

3

33

1 1 1x x 3 xx x x

33

3

1 1 1x x 3 xx x x

3 23 2

1 1 1x x x 1x x x

3 23 2

1 1 1x x x 1x x x

:

1x 3x

(i) 1xx

(ii)2

2

1xx

(iii) 3

3

1xx

(iv) 4

4

1xx

(v) 5

5

1xx

:

(i) 2

22

1 1x x 2x x

22

1x 2 4x

=21x 4

x

2

21x 3 4 5x

1x 5x

(ii) 2 2

2 2

1 1x x 2 2x x

2

21x 2 3 2 7x

(iii) 33

1xx

3

3

1 1 1x 3 x 3 xx x x

31 1x 3 xx x

3 33

1x 3 3 3 18x

(iv) 44

1xx

2

222

1x 2 2x

22

2

1x 2x

4 24

1x 7 2 47x

(v) 2 3

2 3

1 1x xx x

5

5

1 1x xx x

55

17 18 x 3x

5

5

1x 123x

• 1x kx

2 22

1(a) x k 2x

3 33

1(b) x k 3kx

21(c) x k 4x

•1x mx

2 22

1(a) x m 2x

3 33

1(b) x m 3mx

21(c) x m 4x

1x 2 x 1x

1x 2 x 1x

61x 3 x 1x


18 - 24 December 20176


TELANGANATELANGANAWorld Telugu Conference held inHyderabad: The World TeluguConferencebegan at LalBahadurStadium,Hyderabadon the 15th

of December. Vice President of IndiaM. Venkaiah Naidu inaugurated theconference in the presence of theGovernor of Telangana and AP E.S.L.Narasimhan and MaharashtraGovernor Ch. Vidyasagar Rao, ChiefMinister K. Chandrashekhar Rao andother dignitaries. Addressing theconference, Venkaiah Naidu stressedon the need for protection and

preservation of Telugu language andculture. He said one should not losethe touch with our base and therefore,it was the duty of all parents andteachers to teach Telugu language totheir wards. KCR informed that about400 delegates from 42 countries wereparticipating in the conference.

The first World TeluguConference was held in Hyderabad in1975. It was the then Minister ofEducation, Mandali Venkata KrishnaRao instrumental in starting it.

Eminent singer M. S. Ramaraomade his debut at the conference.

The second Telugu conference wasconducted in April 1981 in KualaLumpur city of Malaysia.

The third Telugu conference wasconducted in December 1990in Mauritius.

The fourth Telugu conference washeld in Tirupati and the fifth oneheld in Dubai in 2015.

It was held at Tirupati for thefourth time in December 2012.

Kacheguda Becomes EnergyEfficient Railway Station:Kacheguda railway stationin Hyderabad division of the SCR(South Central Railway), becomesIndia’s ‘First’ Energy-Efficient ‘A1Category’ Railway Station. It hasachieved 100 per cent energy efficiencyby replacing 1,312 conventional lightswith light-emitting diode (LED)lighting, 370 ceiling fans withBrushless DC Electrical (BLDC)motors energy-efficient fans and 12 airconditioners with energy efficientinverter type ACs.

TG Cabinet panel recommends BCsub-plan: The Telangana Cabinet sub-committee constituted to study thecondition of backward classes andmake recommendations for their uplifthas recommended that the governmentimplement an exclusive sub-plan forBCs on the lines of SCs and STs.

The Cabinet Panel favoured acomprehensive survey by the BCCommission to ascertain the exactnumber of BC families in the State.It recommended that the governmentconstruct skill development centresfor BCs in the name of MahatmaJyothiba Phule to hone the skills ofthese communities enabling them toface the competition.

BC Welfare Minister Jogu Ramanna,who is a member of the sub-committee,held discussions with AssemblySpeaker S. Madhusudana Chary alongwith other members including FinanceMinister Eatala Rajender and MLAs onthe recommendations of the committee.The panel had proposed reservations toBCs in education and employment inaddition to setting up two degreecolleges in each of the 31 districts.

ANDHRA PRADESHANDHRA PRADESHVizag to be financial capital ofAndhra Pradesh: Visakhapatnam willbe made an international city andfinancial capital of Andhra Pradesh,Chief Minister N Chandrababu Naiduhas said. Inaugurating the helicoptertourism project being jointlyorganised by the VisakhapatnamUrban Development Authority (VUDA)and Tourism Department at the VUDAPark, he said helicopter tourismwould attract foreign tourists as onecould not just see the Vizag but alsoplaces like Araku and Lambasingi.

Chandrababu Naidu launchesChandranna Village Malls: ChiefMinister N. Chandrababu Naiduremotely launched the ChandrannaVillage Mall in Guntur and Vijayawadaas a pilot project in the State on the

12th of December. The existing FairPrice Shops (FPS) will function asChandranna Village Malls. In the firstphase, the government is proposing todevelop 6,500 malls across the State.There are about 28,000 FPS outlets inthe State. The idea of mall is to takefacilities available at the malls inurban areas to the doorstep ofvillagers.

The government will supply goods/commodities in lieu of rice beingsupplied to the poor at the malls. Thecommodities will be worth equal tothe rice being supplied right now.

The Government is proposing selling500 types of commodities of variousbrands in these malls at 4% to 35%less than the Maximum Retail Price(MRP). The dealer will get 40% of thediscount offered by the companies,while consumer enjoys a benefit of60% . All kinds of essential goods aresold at the village malls at lower pricescompared to open market, but allowinga small commission to the dealer.

US company to assist AP in Fiber Netproject: The Andhra Pradeshgovernment and a US companyAlphabet’s X research division arejoining hands in the implementation ofthe ambitious AP FiberNet project. StateIT Minister Nara Lokesh, in US trip,visited the company in Mountain Viewand discussed the details of the projectwith the company’s executives. Atechnology free space opticalcommunications would be provided bythe X research division of the UScompany to deliver high-speed and high-capacity broadband connectivity overlong distances. There is no need to layoptical fibre cables or string cables alongpoles for the purpose. It can deliver upto 20 Gbps. The AP FiberNet projectenvisages providing connectivity to 12million households and thousands ofbusinesses in the State.

AP Tower design for Assemblybuilding approved: Andhra PradeshChief Minister N. Chandrababu Naidugave his approval to the design of theLegislative Assembly building from twooptions at a meeting with theofficials of the A.P. Capital RegionDevelopment Authority (CRDA) andrepresentatives of the Foster +Partners (F+P), in which film directorS.S. Rajamouli had made somesuggestions on giving a culturaldimension.

A tower having the Assembly hall onthe ground floor and other facilitiesabove, which include space fromwhere visitors could have a bird’s eyeview of the capital region, was whatthe CM had chosen. The seconddesign is a square-shaped structure.However, the CRDA will seekfeedback from the public on both thedesigns.


18 - 24 December 20177


Science & TechnologyScience & TechnologyRajasthan is the First state inIndia to Offer e-mail IDs in Hindi:Rajasthan becomes the first state inthe country to launch free emailaddresses in Hindi (in Devanagariscript) for its residents. The initiativeaims to ensure maximumparticipation of people towards e-governance and that maximumfacilities are available in thevernacular language. The first e-mailID was created for CM VasundharaRaje.

Scorpene-Class Submarine Kalvariinto Indian Navy: Indian PrimeMinister Narendra Modicommissioned India’s first modern

conventionalsubmarine, INSKalvari,into Navy’sfleet inM u m b a i ,

the first in almost two decades.Kalvari is the f irst of the sixScorpene-class submarines handedover by shipbuilder Mazagon DockLimited (MDL).

EnvironmentEnvironmentChina Starts World’s BiggestFloating Solar Project: A unitof China Three Gorges Corp. isbuilding a 1 billion yuan ($151 million)floating solar power plant, the world’sbiggest, in the nation’s easternprovince of Anhui. China Three Gorges

New EnergyCompanystartedbuilding the150-m e g aw at t

project in July and part of the plantwas connected to the grid.

NGT bans plastic items in Haridwarand Rishikesh: The National GreenTribunal (NGT) imposed a ban onplastic items like carry bags, platesetc in Haridwar and Rishikesh,located on the banks of the RiverGanga. The move was taken to tackleand prevent pollution of the Ganga.

SportsSportsRs. 1756 crore for Khelo India:Union Minister of State for YouthAffairs and Sports, Col. RajyavardhanRathore confirmed union governmentwill launch a ’Khelo India’programme at a cost of 1,756 crorerupees for the period 2017-18 to 2019-20. The main aim is to promote 150select schools in as many districts,and 20 universities across thecountry, as hubs of sportingexcellence, which would enabletalented sportspersons to pursue thedual pathway of education andcompetitive sports.

Mehuli Ghosh and Tushar Manequalified for Youth OlympicGames: Mehuli Ghosh and TusharMane became the first Indianshooters to secure the women’s andmen’s quota places for the 2018 YouthOlympic Games (YOG) by winning agold and bronze each at the 10thAsian Championship 10M Rifle/Pistol at Wako City, Japan

India bags 21 medals:India baggeda rich haul of 21 medals including sixgold, eight silver and seven bronzemedals at the 10th Asian AirgunShooting Championships.

India to Host 2021 ChampionsTrophy, 2023 World Cup: India isall set to host the 2023 World Cup,the global cricketing event’s 13thedition after the BCCI confirmed thehost nation. India will also host theupcoming Champions Trophy in 2021.

The ICC World Cup 2019 will be heldin England and Wales. This will bethe first time that the event will beheld entirely in India: the nation onthree occasions previously, hostedthe World Cup partially (1987, 1996and 2011).

Rohit Sharma hits another doublecenture: Indian Skipper RohitSharma hit double century in OneDay International in Mohali. He is theCaptain of ongoing 3 One dayinternational series against SriLanka. In the Second One day match,Rohit hit double century. It is histhird double century in one days, thusbecame only batsman in the world toscore three double centuries in oneday internationals.

India Becomes the 1st Ever Teamto Register Hundred 300+ ODITotals: India become the first-everteam to register 300+ totals 100 timesin ODIs, after posting 392/4 againstSri Lanka in Mohali on the 13th ofDecember. This was also the 25 th

instance of India scoring 350+ in anODI innings, second-most by a teamafter South Africa (26).

Official emblems for Beijing 2022Winter Games unveiled: Theemblems of the Beijing 2022 Olympicand Paralympic Winter Games havebeen named “Winter Dream” and“Flight,” respectively. The emblemlaunching ceremony was held at theNational Aquatic Center, whichstaged the swimming events duringthe Beijing 2008 Games.

The chief designer of the twoemblems is Lin Cunzhen, deputydean of China Central Academy ofFine Arts’ Design School.

She started her work in the fieldof Olympic emblem design back in2003.

AwardsAwardsM.S. Swaminathan : The VicePresident of India M. Venkaiah Naiduconferred ‘Yeraringan’ Award to Prof.M.S. Swaminathan, in Chennai. Prof.M.S. Swaminathan was a

transformative leader who hasinspired many scientists to focus onthe problem of Indian agriculture.

Uma Shankar: Chief GeneralManager (CGM) in charge of theReserve Bank of India’s financialinclusion and developmentdepartment has taken over asexecutive director (ED) in the centralbank.

Nakul Chopra : Nakul Chopra,President of AAAI and Senior Advisor,Publicis Communications elected asthe next Chairman of BARC India.

ObituaryObituary Lalj i Singh: A pioneer of DNAf i ng e r p r i n t i n gtechnology inIndia and formerVice-Chancellorof Benares HinduUniversity, BHU(2011 to 2014),passed away.


18 - 24 December 20178


1. Context: Talks at the 11thministerial meeting of the WorldTrade Organization (WTO)collapsed, with the US refusing toengage in the e ffort to find apermanent solution to the publicstock-holding issue.The World Trade Organization (WTO)is an intergovernmental organizationthat regulates international trade. TheWTO officially commenced on the 1st

of January, 1995 under the MarrakeshAgreement, signed by 123 nations onthe 15th April 1994, replacing theGeneral Agreement on Tariffs andTrade (GATT), which commenced in1948. It is the largest internationaleconomic organization in the world. TheWTO deals with regulation of trade ingoods, services and intellectualproperty between participatingcountries by providing a framework fornegotiating trade agreements and adispute resolution process aimed atenforcing participants’ adherence toWTO agreements.

2. Context: The Union Governmentsigned US $250 million loanagreement with World Bank for“Skills Acquisition andKnowledge Awareness forLivelihood Promotion (SANKALP)National Policy of Skill Developmentand Entrepreneurship, 2015highlighted the need of qualityassurance measures such as buildinga pool quality trainers andassessors. SANKALP envisagessetting up of Trainers and Assessorsacademies with self-sustainablemodels. Over 50 such academies areto be set up in priority sectors. DOT,MSDE has already made significantprogress in this direction by settingup a number of Institutes for Training

of Trainers (IToT) in public andprivate sector, offering training in over35 trades. The schemes shallleverage such institutions for trainingthe trainers in both long & short termVET thereby bringing aboutconvergence. Additional traineracademies shall be set up on thebasis of identified sectoral andgeographical gaps.

3. Context: Sri Lanka becomes the163rd nation to accede to the anti-personnel mine ban convention.The Convention on the Prohibition ofthe Use, Stockpiling, Production andTransfer of Anti-Personnel Mines andon Their Destruction, commonlyreferred to as the Mine Ban Treaty,was adopted on the 18th of September,1997 and entered into force on the1st of March, 1999. The Mine BanTreaty prohibits the use, stockpiling,production and transfer ofantipersonnel mines. It is the mostcomprehensive internationalinstrument for eradicating landminesand deals with everything from mineuse, production and trade, to victimassistance, mine clearance andstockpile destruction

4. Context: The Cabinet on the 15th

of December cleared a Rs. 2,600-crore proposal to boost jobcreation in the leather industry,lowered the merchant discountrate (MDR) on transactions up toRs 2,000 through debitcards, BHIM UPI or Aadhaarenabled payment systems. The rate charged to a merchant by abank for providing debit and creditcard services. The rate is determinedbased on factors such as volume,average ticket price, risk andindustry. The merchant must set upthis service with a bank, and agreeto the rate prior to accepting debitand credit cards as payment. The

average merchant discount rate isbetween 1-3% . However, for onlinemerchants, the rate tends to behigher. This applies to merchants thatdeal both online and in-store. Theywill often pay a higher rate for theironline sales.

5. Context: The Uniform System ofe-way Bill for inter-State as well asintra-State movement of goods willbe implemented across the countryby 1st June next year. The decisionto this effect was taken by the GSTCouncil at its 24th Meeting heldon the 16th of December.The GST council is the key decision-making body that will take allimportant decisions regarding theGST. The GST Council dictates taxrate, tax exemption, the due date offorms, tax laws, and tax deadlines,keeping in mind special rates andprovisions for some states. Thepredominant responsibility of the GSTCouncil is to ensure to have oneuniform tax rate for goods andservices across the nation. TheGoods and Services Tax (GST) isgoverned by the GST Council. Article279 (1) of the amended IndianConstitution states that the GSTCouncil has to be constituted by thePresident within 60 days of thecommencement of the Article 279A.According to the article, GST Councilwill be a joint forum for the Centreand the States.

The Union Finance Minister, ArunJaitley will be the Chairperson

As a member, the Union Minister ofState will be in charge of Revenue ofFinance.

The Minister in charge of finance ortaxation or any other Ministernominated by each State government,as members.

6. Context: UN Women incollaboration with Facebook

December 10: India, China and Russia agreed to support freedom of navigation and overflight rightsbased on the principles of international law in an effort to boost maritime trade.December 11: UN Women in collaboration with Facebook inaugurated a two-day event in Mumbaititled ‘We The Women’ to empower and recognise the magnificent contribution of women in oursociety.December 12: The Supreme Court said it will have a Constitution Bench examine whether the peopleof Tamil Nadu and Maharashtra can conserve jallikattu and bullock-cart races as their cultural rightand demand their protection under Article 29 (1) of the Constitution.December 13: A special court held on held former Jharkhand Chief Minister Madhu Koda and ex-CoalSecretary HC Gupta guilty of corruption and other charges in a coal scam case.December 14: The Board of Control for Cricket in India decided to lift the ban on the Rajasthan CricketAssociation (RCA) provided former IPL chief Lalit Modi stays away from its functioning.December 15: The government approved a draft law under which the practice of giving instant tripletalaq would be made illegal and void and would attract a jail term of three years for the husband. T hedraft ‘Muslim Women Protection of Rights on Marriage Bill’ was considered by the Union cabinet whichgave its nod.December 16: Indian Prime Minister Narendra Modi inaugurated the 60-megawatt Tuirial hydroelectricpower project from Aizawl, Mizoram.

inaugurated a two-day event inMumbai titled ‘We The Women’ toempower and recognise themagnificent contribution of womenin our society.

In July 2010, the United NationsGeneral Assembly created UNWomen, the United Nations Entity forGender Equality and theEmpowerment of Women, to addresssuch challenges. In doing so, UNMember States took an historic stepin accelerating the Organization’sgoals on gender equality and theempowerment of womenUN Women is the UN organizationdedicated to gender equality and theempowerment of women. A globalchampion for women and girls, UNWomen was established toaccelerate progress on meeting theirneeds worldwide.UN Women supports UN MemberStates as they set global standardsfor achieving gender equality, andworks with governments and civilsociety to design laws, policies,programmes and services needed toensure that the standards areeffectively implemented and trulybenefit women and girls worldwide.It works globally to make the visionof the Sustainable DevelopmentGoals a reality for women and girlsand stands behind women’s equalparticipation in all aspects of life,focusing on five priority areas:

Increasing women’s leadership andparticipation.

Ending violence against women. Engaging women in all aspects

of peace and security processes. Enhancing women’s economic

empowerment. And making gender equality central

to national development planning andbudgeting.

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