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Part-A
1 Mark Questions
Q: A shiny brown coloured element 'X' on heat-
ing in air becomes black in colour. Can you
predict the element 'X' and the black
coloured substance formed? How do you
support your predictions?
A: ★ The brown coloured element is Copper
(Cu).
★ On heating, Copper reacts with Oxygen
present in the atmosphere to form Copper
Oxide which is black in colour.
2 Cu (s) + O2 (g) Heat⎯⎯→ 2 CuO (s)
★ If we pass Hydrogen gas over hot Copper
Oxide we notice that black coating on
Copper turns brown because Copper
Oxide loses Oxygen to form Copper.
CuO (s) + H2 (g) Heat⎯⎯→ Cu (s) + H2O (g)
This supports our prediction.
Q: Fe2O3 + 2Al ⎯→ Al2O3 + 2 Fe
Name the compound which is oxidized in the
above reaction.
A: In the reaction Aluminium (Al) is oxidized as
Al2O3.
3: Why dough rises swells, when it is treated
with yeast?
A: Yeast produces Carbondioxide gas on treat-
ing with carbohydrates in dough.
★ Carbondioxide escapes by making holes
in dough and dough rises swells.
2 Marks Questions
Q: N2 (g) + O2 (g) + Heat ⎯→ 2 NO (g)
What information do you get from the above
equation? Comment.
A: ★ Nitrogen on heating with Oxygen gives
Nitricoxide.
★ This is an endothermic reaction.
★ This is an example for chemical combina-
tion.
★ In this reaction both reactants and prod-
ucts are all gases.
Q: Write the products of given reactions, if any.
Give reasons.
★ FeCl2 + Zn ⎯→
★ ZnCl2 + Fe ⎯→
A: FeCl2 + Zn ⎯→ ZnCl2 + Fe
[Example for displacement reaction]
★ ZnCl2 + Fe ⎯→ No reaction.
Low reactive metals cannot displace high
reactive metals.
Q: a) CaCO3 (s) ⎯→ CaO (s) + CO2 (g)
b) 2 AgBr (s) ⎯→ 2 Ag (s) + Br2 (g)
Mention the types of reactions to which the
above equations belong. Also mention which
of them is a photo chemical reaction.
A: ★ Both the reactions are chemical decompo-
sition reactions.
★ 2 AgBr (s) ⎯→ 2 Ag (s) + Br2 (g) is a photo
chemical reaction. This is because the
reaction takes place only in the presence
of sun light.
4 Marks Question
Q: Balance the following chemical equations.
Identify the type of reactions in the case of C
and D.
a) Zn (s) + AgNO3 (aq) ⎯→
Zn(NO3)2(aq) + Ag (s)
b) Fe2O3 (s) + C (s) ⎯→ Fe (s) + CO2 (g)
c) Magnesium (s) + Iodine (g) ⎯→
Magnesium Iodide (s)
d) Zinc (s) + Hydrochloric acid (aq) ⎯→
Zinc chloride (aq) + Hydrogen (g)
A: a) Balanced equation is:
Zn (s) + 2 AgNO3 (aq) ⎯→
Zn(NO3)2(aq) + 2 Ag (s)
b) Balanced equation is:
2 Fe2O3 (s) + 3C (s) ⎯→
4 Fe (s) + 3 CO2 (g)
c) Mg (s) + I2 (g) ⎯→ MgI2 (s)
This is an example for chemical combina-
tion.
d) Zn (s) + 2 HCl (aq) → ZnCl2 (aq) + H2 (g)
This is an example for chemical displace-
ment.
Part-B
I. Choose the correct answer.
1. Burning of magnesium crackers is a reaction
of ......
A) Reduction B) Cracking
C) Oxidation D) Galvanizing
Electricity2. a) 2 H2O ⎯⎯⎯→ 2 H2 + O2
Sunlightb) 2 AgBr ⎯⎯⎯→ 2 Ag + Br2The above reactions are examples for
A) Chemical combination
B) Chemical decomposition
C) Chemical displacement
D) Double displacement
3. The process of preparing slaked lime by
adding water to quick lime is this type of
chemical reaction.
A) Decomposition reaction
B) Exothermic reaction
C) Endothermic reaction
D) Displacement reaction
4. If the gas liberated in an experiment allows
the burning splinter to continue burning more
brightly in its presence, the gas is ......
A) Oxygen B) Hydrogen
C) Nitrogen D) Carbondioxide
5. C6H12O6 ⎯→ C2H5OH + CO2 is ......
Chemical reaction
A) Combination B) Decomposition
C) Displacement D) Double decomposition
Answers
1-C 2-B 3-B 4-A 5-B
Do not forget...
★ You should choose a convenient place at home freeof disturbance for studying.
★ A regular and specific study routine should be fol-lowed with sufficient and well-placed intervals.
★ Follow the study schedule as planned.
Physical Sciences
Chemical Reactionsand Equations
Can you predict the element..?Writer:
C.V. Sarveswara Sarma
Subject Expert
Directions (Q.1-5): Read each sentence to find
out whether there is any grammatical error in
it. The error, if any will be in one part of the
sentence. The number of that part is the
answer. If there is no error, the answer is 5.
1. Since the company is giving bonus (1)/ every
year (2)/ the workers exhibit greater (3)/
enthusiasm and are determined to work hard
with renewed zeal and zest. (4)/ No error (5).
2. He is undoubtedly industrious (1)/ Unless (2)/
he will have abundant patience and perse-
verance (3)/, it is sure fire that he will not suc-
ceed in his venture. (4)/ No error (5).
3. The director said to (1)/ the clerk (2)/, when
have you submitted (3)/ all the reports. (4)/
No error (5).
4. Mr. Rao is owning (1)/ a lot of property in New
York (2)/ He has many ventures (3)/ which
are successfully completed. (4)/ No error (5).
5. He went on telling (1)/ cock and bull stories
(2)/. She believed (3)/ all that he told her. (4)/
No error (5).
Directions (Q. 6-10): Which of the phrases 1,
2, 3 and 4 given below each sentence should
replace the phrase printed in bold type to
make the sentence grammatically correct. If
the sentence is correct as it is, mark 5) i.e. no
correction required as the answer.
6. Did you ever see a white tiger?
1) Have you ever seen
2) Were you ever seen
3) Have you ever been seen
4) Had you ever seen
5) No correction required
7. He is writing competitive exams for six
months.
1) was writing 2) had been writing
3) has been writing 4) wrote
5) No correction required
8. You must take care that you will not be
deceived.
1) should not be deceived
2) are not deceived
3) would not be deceived
4) could not be deceived
5) No correction required
9. I have had my dinner an hour ago.
1) had 2) had had
3) would have had 4) will have had
5) No correction required
10. He is accustomed to wake up early every
day.
1) to woke up 2) to waking up
3) to woken up 4) waking up
5) No correction required
Directions (Q. 11-15): In each of the following
sentences, there are two blanks. Below each
sentence, there are five pairs of words denot-
ed by numbers 1, 2, 3, 4 and 5. Find out
which pair of words can be filled up in the
blanks to make the sentence meaningfully
correct.
11. The ......... with which he is able to hold the
bat is .........
1) ease, remarkable
2) grandeur, imperial
3) success, projecting
4) plan, virtuous
5) energy, unnecessary
12. The learner should be ......... to take steps
to ......... the process of learning.
1) admonished, integrate
2) encouraged, reinforce
3) advanced, assimilate
4) appreciated, fulfill
5) cautioned, reorganize
13. Unprecedented additional ......... to the cost-
spiral is caused due to sudden ......... in oil
prices.
1) twist, rise
2) hesitation, decrease
3) deterioration, jump
4) domination, gush
5) increase, fall
14. The .............. manner of the interviewer has
............... all his fears.
1) idea, admired 2) lethargic, removed
3) genial, dispelled 4) proud, aggravated
5) religious, perfected
15. The lush greenery is a .............. sight.
People always ................ to visit such
sights.
1) joyful, imagined 2) engrossing, adhere
3) fascinating, long 4) enlivening, absolve
5) empowering, contain
Directions (Q 16-20): In each of the following
questions four words are given of which two
are most nearly the same or opposite in
meaning. Find the number of correct letter
combination.
16. (A) Stupendous (B) Calm
(C) Tranquil (D) Vivacious
1) A-B 2) C-A 3) C-D 4) D-A 5) B-C
17. (A) Recluse (B) Transparent
(C) Opaque (D) Profound
1) D-A 2) C-B 3) B-A 4) D-C 5) C-A
18. (A) Indelible (B) Important
(C) Insignificant (D) Clear
1) C-D 2) D-A 3) A-C 4) B-C 5) B-D
19. (A) Prolixity (B) Brevity
(C) Agreement (D) Proposition
1) B-C 2) A-C 3) C-D 4) D-A 5) B-A
20. (A) Benevolent (B) Delectable
(C) Laughable (D) Charitable
1) A-B 2) B-C 3) C-D 4) D-A 5) A-D
- B. Krishna Kumar
Senior Faculty, BSC Academy
Writer
ENGLISH
Answers
1-1 Replace 'is giving' with 'gives'
2-3 Replace 'will have' with 'has'
3-3 Replace 'have you submitted' with 'did
you submit'
4-1 Replace 'is owning' with 'owns'
5-4 Replace 'told' with 'had told'
6-1 7-3 8-2 9-1 10-2
11-1 12-2 13-1 14-3 15-3
16-5 Same 17-2 Opposite
18-4 Opposite 19-5 Opposite 20-5 Same
Have you ever seen a white tiger?
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International
US and Israel quit UNESCO
The United States and
Israel have both
withdrawn from the
UN’s Science, Culture
and Education Agency
UNESCO after accusing it
of having an anti-Israeli bias. Under
UNESCO rules, the U.S. withdrawal
will become effective as of the end of
December 2018. The United States
was angered in 2011 when UNESCO
members granted Palestine full
membership of the body, despite
opposition from its ally Israel.
Hamas and Fatah sign deal over
control of Gaza Strip
The rival Palestinian factions Hamas
and Fatah have signed a preliminary
reconciliation deal recently in the latest
in a series of attempts to end a decade-
long Palestinian territorial, political
and ideological split that has crippled
statehood aspirations. The deal, signed
in Cairo in the presence of Egyptian
intelligence officials, focuses on who
should control the contested Gaza
Strip and on what terms.
National
Study group to end problems at
borders
The special Secretary in the Home
Ministry Rina Mitra leads a group,
meant to study to examine the problems
being faced the people living near the
International Border and the Line of
Control in Jammu and Kashmir due to
ever-present threat of cross-border firing
from Pakistan. The study group would
look into broadly three issues: demand
for land for relocation in case of
shelling, construction of more bunkers
and compensation issues related to
shelling.
Improvement in gender ratio after
launching BBBP
According to the Secretary, Women
and Child Development Ministry, RK
Shrivastava, the sex ratio at birth has
been improving after launching Beti
Bachao, Beti Padhao (BBBP) Scheme.
According to him…
➤ Initially it was launched in 100
districts, later extended to 61
districts.
➤ There has been an improvement in
sex ratio at birth in 104 districts
selected for the scheme.
➤ The WCD ministry now plans to
extend this programme to all the
districts of the country with the
focus on the 56 of the total 161
districts that have shown a decline
in SRB.
➤ The BBBP scheme was launched
in January, 2015 in Haryana's
Panipat. It focuses on districts with
the worst child sex ratio (CSR) as
per the 2011 Census.
Railways move to end VIP culture
The Railway Ministry has asked its
senior staff to slug it out -- at home
and at work -- as part of steps to end
the VIP culture. According to officials
around 30,000 trackmen work at the
homes of senior officials. They have
been asked to resume duties. The
Ministry also decided to end a 36-
year-old protocol where it was
mandatory for general managers to be
present on arrival and departure of the
Railway Board Chairman and other
board members during zonal visits.
Bilateral
India-EU to fight against Terrorism
Fighting against
terrorism,
strengtheing
cooperation in
key areas of trade
were the main
decisions that were
adopted by India and European
Union. The 14th joint summit was
held on 6th October in New Delhi. It
was for the first time that there was a
mention of terrorists and terror groups
in any India-EU document. They also
called for an early conclusion of
negotiations and adoption of the
comprehensive convention on
international terrorism in the United
Nations.
➤ The two sides resolved to work
together in multilateral fora to cut
the flows of funds and other
financial assets to individuals and
entities involved in terrorism. The
two sides commended the strong
engagement of the European
Investment Bank in India in a wide
range of key sectors, in particular
in the field of climate action and
renewable energy.
Economy
Govt reduces GST rates on 27 items
In order to offer Small and
Medium Enterprises
(SMEs) and exporters
from the rigours of
complying with the
technology-oriented
Goods and Services tax (GST), the
federal indirect tax body, GST
Council announced a series of rule
changes. The council..
➤ Lowered tax rates on 27 products
and a few services and asked a
panel of state ministers to examine
if the 18% GST on air-conditioned
restaurants could be lowered.
➤ Decided to continue with two pre-
GST era schemes that allow duty-
free sourcing of materials for
export production till March 2018,
a move that will improve the
liquidity of exporters by preventing
their working capital from getting
locked up in tax procedures.
➤ Decided to clear all tax refund
claims of exporters for July by 10
October and for August by 18
October.
➤ Introduced a 0.1% GST rate for
merchant exporters, offering relief
from the full applicable GST rates
on their procurements.
➤ Merchant exporters do not
manufacture products themselves
but procure from others for
shipping overseas.
➤ The composition threshold limit
under GST has been enhanced
from 75 lakh rupees.
Aadhar mandatory for Small Saving
schemes
The government has made Aadhaar
mandatory for all post office deposits,
Public Provident Fund, National
Savings Certificate scheme and Kisan
Vikas Patra. Existing depositors who
have not provided Aadhaar number at
the time of application for such
deposit "shall submit his Aadhaar
number to the post office savings
bank or deposit office concerned, on
or before December 31, 2017.
NMCG grants Rs. 700-cr worth
projects for Ganga
National Mission for Clean Ganga
(NMCG) on 9th October has granted
approval to eight projects,
whose worth is over Rs
700 crore. Out of the
eight, four were for
setting up sewage
treatment plants (STPs)
in Bihar, Uttar Pradesh and West
Bengal. The other projects were three
bio-remediation projects for treating
drains dumping wastewater into the
Ganga and one for inventorisation and
surveillance of the river. The sewage
treatment plants will be set up in
Bihar, Uttar Pradesh and West Bengal.
IMF lowers India’s growth
The International Monetary Fund
(IMF) cut down India’s Gross
Domestic Product (GDP) growth
forecast in its World Economic
Outlook report for October. With the
GDP growth at a three-year low of
5.7% in the June quarter, forecasts for
the financial year 2017-18 have been
reduced by 50 basis points – from
7.2% to 6.7%. However, the IMF was
more optimistic about medium-term
growth prospects for India through
gains from the new indirect tax levy.
Recently, the Reserve Bank of India
also lowered its growth projection to
6.7 per cent for the fiscal from its
earlier estimate of 7.3 per cent. The
economy grew at 7.1 per cent in
2016-17.
Sports
Anupama clinches World Open
Snooker Championship
India's Anupama
Ramachandran has
won the World Open
Under-16 Snooker
Championship title at
St. Petersburg in Russia.
In the final she defeated Keerthana
Pandian. Dylan Emery of Wales has
claimed the title in the boys category.
India qualified for 2019 AFC Asian
Cup
India has qualified for the 2019 AFC
Asian Cup after they pumped in four
goals for a convincing 4-1 win over
Macau in a qualifying round at the
Sree Kanteerava Stadium in
Bengaluru on 11th October. They
made the cut with two matches still to
go in the qualifying round.
Awards
Nobel Peace for
ICAN
The 2017
Nobel Peace
Prize has been
awarded to the
International Campaign to Abolish
Nuclear Weapons (ICAN), an
international advocacy group that
helped bring about the landmark 2017
United Nations nuclear weapons ban
treaty. ICAN is a coalition of
nongovernmental organizations from
more than 100 different countries all
working together to eradicate nuclear
weapons from the face of the earth.
The group is based in Geneva,
Switzerland.
Richard Thaler: The Nobel economics
prize has been awarded to Richard
Thaler of the University of Chicago
for his contributions to behavioural
economics. The prize was awarded to
the academic for his understanding
the psychology of economics. Thaler's
work shows how human traits affect
individual decisions as well as market
outcomes. Thaler, is a pioneer in
behavioural economics.
Bindeshwar Pathak: Indian President
Ram Nath Kovind presented Lal
Bahadur ShastriNational Award for
Excellence in Public Administration,
Academics and Management to noted
social reformer and founder of Sulabh
International Bindeshwar Pathak.
Persons in news
Anupam Kher: Veteran actor Anupam
Kher has been appointed as the new
chairman of Film and Television
Institute of India, Pune. He will replace
Gajendra Chauhan.
Competitive Guidance
Current Affairs
IMF lowers India’s growth
Rajendra Sharma
Current Affairs
Faculty, Hyderabad
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1. What is a skeleton equation?A. A unbalanced chemical equation contain-
ing molecular formulae of the substancesis known as a skeleton equation.Ex: H2+O2�H2O
2. How do you represent a chemical equa-tion in symbolic form?
A. A chemical equation is a symbolic repre-sentation of all of the substances involvedin a chemical reaction. We use the chemi-cal formulas of substance to representeach chemical specie involved in the reac-tion. We also use the notation (g), (l), (s),or (aq) following the chemical formula toidentify the phase of the substances in theequation.
3. What do you understand by the termformula unit mass?
A. A formula unit, as the name implies, isone unit-whether atom, ion, molecule cor-responding to a given formula.
4. Explain the following:a) Chemical combination reaction.
A combination reaction is a general cate-gory of chemical reactions. It may bedefined as a chemical reaction in whichtwo or more substances combine to forma single substance under suitable condi-tions.Combination reactions are also known assynthesis, because in these reactions newsubstances are synthesized.The general equation that describes a
combination reaction is:2Na(s) + Cl2(g)�2NaCl(g)Combination reactions are of three types:1. Reaction between two or more elements
2. Reaction between elements and com-pounds
O2(g) + 2CO(g)�2CO2(g)3. Reaction between compoundsCaO(s) + CO2(g) �CaCO2(s)
b) Chemical decomposition reaction.A. It is defined as the reaction in which a
single compound splits into two or moresimple substances under suitable condi-tions.In a decomposition reaction, the sub-stance breaks into new substances.Types of Decomposition Reactions
Decomposition reactions can be classifiedinto three types:1) Thermal decomposition reaction
(Thermolysis):Thermal decomposition is a chemicalreaction where a single substance breaksinto two or more simple substances whenheated.The reaction is usually endothermicbecause heat is required to break thebonds present in the substance.Ex: Decomposition of calcium carbonate:Calcium carbonate (lime stone) decom-poses into calcium oxide (quick lime) andcarbon dioxide when heated. Quick limeis the major constituent of cement.
2) Electrolytic decomposition reaction(Electrolysis):Electrolytic decomposition may resultwhen electric current is passed through anaqueous solution of a compound.Ex: Electrolysis of water:
Electrolysis of water is the decompositionof water into hydrogen and oxygen due tothe passage of electric current through it.
3) Photo-chemical decomposition reaction(Photolysis):Photo-chemical decomposition is adecomposition reaction that takes place inthe presence of light.Ex: Decomposition of hydrogen perox-ide:In the presence of light, hydrogen perox-ide decomposes into water and oxygen.
c) Chemical displacement reaction.Displacement reaction is a chemical reac-tion in which a more reactive element dis-places a less reactive element from itscompound. Both metals and non-metalstake part in displacement reactions.
* Note the point:An important thing to remember with sin-gle displacement reaction is that elementsthat form cations can only displacecations and elements that form anions canonly displace anions.
Classification of displacement reaction:Anion replacement reaction. Ex:
Cl2(g) + 2NaBr(aq)� 2NaCl(aq)+Br2(g)Br2(g)+2Kl(aq)� 2KBr(aq)+l2(aq)
Cation replacement reaction. Ex: Zn(s)+CuSO4(aq) �ZnSO4(aq)+Cu(s)2Al(s)+3CuSO4(aq)�3Cu(s)+Al2(SO4)3 (aq)Fe(s)+CuSO4(aq) �Cu(s)+FeSO4(aq)Pb(s)+CuCl2(aq)�PbCl2(aq)+Cu(s)
c) Chemical double displacement reaction.Double displacement reactions may bedefined as the chemical reactions inwhich one component each of both thereacting molecules is exchanged to formthe products. During this reaction, thecations and anions of two different com-pounds switch places, forming two entire-ly different compounds.Double displacement reactions generallytake place in aqueous solutions in whichthe ions precipitate and there is anexchange of ions.Double displacement reactions can be fur-
ther classified as neutralization, precipita-tion and gas formation reactions.Neutralization reactions are a specifickind of double displacement reaction. Anacid-base reaction occurs, when an acidreacts with equal quantity of base. Theacid base reaction results in the formationof salt (neutral in nature) and water.HCl(aq)+NaOH(aq)�NaCl(aq)+H2O(I)Precipitation is the formation of a solid ina solution or inside another solid during achemical reaction. This process usuallytakes place when the concentration of dis-solved ions in the solution exceeds thesolubility product.AgNO3(aq)+NaCl(aq)�AgCl(s)+NaNO3(aq)A double displacement reaction shouldalso occur if an insoluble gas is formed.Gases such as HCl and NH3 are soluble inwater, but some other gases, such as H2S,are not soluble in water.ZnS(s)+2HCl(aq)�ZnCl2(aq) + H2S(g)
4. How is the chemical reactivity of metalslinked with their position in the electro-chemical series?Chemical reactivity of metals is linkedwith their relative positions in the activityseries. Certain metals have the capacity todisplace some metals from the aqueoussolutions of their salts.A metal placedhigher in the activity series can displacethe metal that occupies a lower positionfrom the aqueous solution of its salt. Thedisplacement reaction is not limited tometals only. Even non-metals can takepart in these reactions.
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www.bhuonline.in
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Graduate Studies and DE (CPGS&DE),
National Institute of Rural Development and
Panchayati Raj, Rajendranagar, Hyderabad-
500030
–˛ªå˝Ú‹Oså˝: www.nird.org.in/pgdrdm.aspx
AyÏ˛√ÁŸØå˛fi
G.Sravana Chandra
Senior Faculty
Class Physical Science10th
CHEMICAL REACTIONS
AND EQUATIONS
Chapter-2
What do you understand by the term formula..
1. Mϸ֮ H {Á≥{MϸƒÊ˝$ MÛ¸Ö{ßÊ˛MʸÖÃZ fΔÊˇVʸßÊ˛$?G) AØ˲$–ÈßÊ˛Ö º) AØ˲ÃÙ˝QØË˛Ö Ì‹) yÏ˛Gب˛G {Á≥°MʸñÜyÏ˛) AØ˲$–ÈßÊ˛Ö á AØ˲$ÃÙ˝QØ˲Ö
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4. Mϸ֮ –ÈsÏ˝ÃZ Á‹ΔˇOØ˲ fô˲?1. GyÏ˛Ø˛Oب˛, £˛O—$ب˛ & Á≥N≈«Ø˲$œ2. £˛O—$ب˛, ƒÊ˝$$Δ>Ì‹Ãå˝ & Á≥N≈«Ø˲$œ 3. Ú‹OsZ̋ب˛, ƒÊ˝$$Δ>Ì‹Ãå˝ & Ì≥ΔÊˇ—$yÏ˛Ø˲$œG) 1, 3 º) 3 Ì‹) 2 yÏ˛) 1
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6. –ö˛$$ΔÊˇ$Vʸ$±sÏ˝ ‘Ë˝ì©ÆMʸΔÊˇ◊˝ÃZ∞ H ßÊ˛‘Ë˝Ø˲$ "i–ö˛
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7. ¥ÎÀØ˲$ Ú≥ΔÊˇ$Vʸ$V> –ö˛*ΔÛˇa ªÍ≈MÓ¸t«ƒÊ˝*?G) GÌ‹sZ ªÍ≈MʸtΔäˇ º) —$£Ê˛Ø¯ M¯Mʸã‹Ì‹) ÃÍM¯t ªÍÌ‹Àœã‹ yÏ˛) M>œ{Ô‹tyÏ˛ƒÊ˝$Ö
8. kØ˲$≤ ô˲ƒÊ˝*»ÃZ EÁ≥ƒÒ˝*WÖ^Û˛ GÖgÒ˝O–í˛$?G) ΔˇØ˛≤så˝ º) Δˇ∞ب Ì‹) ÃÒ˝Oı≥gå˝ yÏ˛) Ú≥O–ö˛±≤
9. MϸΔÊˇ◊˝fØ˲≈ Á‹ÖƒÒ˝*Vʸ{MϸƒÊ˝$ÃZ∞ M>ÖÜ ßÊ˛‘Ë˝Áfl˝«ô˲ΔÛˇ◊˝$–ö˛#ÃZ∞ H øÍVʸÖÃZ fΔÊˇ$Vʸ$ô˲$Ö®?G) {V>ØÈ º) {›˘t–ö˛* Ì‹) £˛OÀM>Δˇ$$yä˛ yÏ˛) –ö˛*{ÜMʸ
10. ‘È”Á‹{MϸƒÊ˝$ÃZ∞ GÀ{M>tب˛ ΔÊˇ–È◊Í ^˲ΔÊˇ≈À$–˛$OsZM>Ö{yÏ˛ƒÊ˝*ÃZ∞ H øÍVʸÖÃZ fΔÊˇ$Vʸ$ôÈΔˇ$$?G) –ö˛*{ÜMʸ º) Mʸ◊˝{ßÊ˛–ö˛≈Ö Ì‹) {Mϸı‹t yÏ˛) {›˘t–ö˛*
11. Mϸ֮ –ÈsÏ˝ÃZ Á‹ΔˇOØ˲ fô˲?
i— —Á‹ΔÊˇjMʸ Á≥ßëΔÊˇ¶ÖG) MʸÁ≥µ ƒÊ˝$*«M>–ö˛$œÖº) ^Û˛Á≥ ƒÊ˝$*«ƒÊ˝*Ì‹) Á≥Ñϸ ƒÊ˝$*«M>–ö˛$œÖyÏ˛) ∫Õœ A–˛*√∞ƒÊ˝*
12. "C–ö˛*Á‹$PÃÙ˝ÁŸØ¨˛' AÖsÙ˝?G) BMʸΔÊˇ¤Mʸ Á≥{ôÈÀØ˲$ ôˆÀWÖ^˲yÊ˛Öº) MÛ¸Á‹Δ>ÀØ˲$ ôˆÀWÖ^˲yÊ˛ÖÌ‹) ΔÊˇÑʸMʸ Á≥{ôÈÀØ˲$ ôˆÀWÖ^˲yÊ˛Ö yÏ˛) Á≥#⁄εÀØ˲$ ôˆÀWÖ^˲yÊ˛Ö
13. ßÊ˛ÖyëMʸñÜÃZ EÖyÛ˛ ªÍ≈MÓ¸t«ƒÊ˝*Ø˲$ H–ö˛$ÖsÍΔÊˇ$?G) ªÍÌ‹Àœã‹ º) M¯Mʸ㋠̋) —{ºƒÒ˝* yÏ˛) Ú‹OµΔˇÀœÖ
14. ÃÒ˝OsÏ˝Mä¸ –ö˛ÀƒÊ˝$Ö ßë”Δ> {Á≥°MʸñÜ fΔÊˇ$Á≥#MˆØÛ˛ i—?G) ªÍ≈MÓ¸t«ƒÊ˝* º) –˛OΔÊˇã‹ Ì‹) Dã‹t yÏ˛) ‘˝O–ö˛ÀÖ
15. Mϸ֮ –ÈsÏ˝ÃZ ßÊ˛ÖyëM>ΔÊˇ –˛OΔÊˇã‹?G) TMV º) HIV Ì‹) ¥˘ÕƒÒ˝* –˛OΔÊˇã‹ yÏ˛) Ú≥O–ö˛±≤
16. V¸ïœM>ÀÌ‹ã‹ ^˲ΔÊˇ≈ÃZ HΔÊˇµyÛ˛ AÖô˲≈ Á≥ßëΔÊˇ¶Ö?G) Ì‹{sÏ˝M>–ö˛$œÖ º) ÃÍMϸtM>–ö˛$œÖÌ‹) Ú≥OΔÊˇ*—M>–ö˛$œÖ yÏ˛) GÌ‹sÒ˝OÃå˝ M¯G
17. ΔÊˇMʸ¢Ö VʸyÊ˛z Mʸr$tM¯Mʸ$Öyë ∞Δ¯´®Ö^Û˛ Á≥ßëΔÊˇ¶Ö?G) ›˘yÏ˛ƒÊ˝$Ö Ì‹{sÙ˝så˝ º) M>Õ¤ƒÊ˝$Ö BÕjØÛ˛så˝Ì‹) {¥˘{£ëֺب˛ yÏ˛) Ú≥O–ö˛±≤
18. Mϸ֮ –ÈsÏ˝ÃZ Á‹ΔˇOØ˲ fô˲?G) ªü®™ÖMʸ & –ö˛ΔÊˇ~ΔÊˇÌfl˝ô˲ ΔÊˇMʸ¢Öº) Ø˲ô˲¢ & GΔÊˇ$Á≥# ΔÊˇÖVʸ$ ΔÊˇMʸ¢ÖÌ‹) –ÈØ˲¥Î–ö˛$$ & ô˛À$Á≥# ΔÊˇMʸ¢Ö yÏ˛) fÀVʸ & ±Õ ΔÊˇÖVʸ$ ΔÊˇMʸ¢Ö
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1. øÍΔÊˇô˲ßÛ˛‘Ë˝ÖÃZ —Á≥œ–¯ßÊ˛≈–ö˛$ Á‹*π«¢∞ ΔÊˇWÕaØ˲gÍ°ƒÊ˝$ EßÊ˛≈–ö˛$ØÛ˛ô˲?G) ªÍÀ-VʸÖ-V>-´ßÊ˛Δäˇ ÜÀMä¸ º) ºÌ≥-ب˛ ^˲Ö{ßÊ˛-¥ÎÃå˝ Ì‹) ÃÍÃÍ-À-f-Á≥-Ü-Δ>ƒå˝$ yÏ˛) AΔÊˇ-—Ößä˛ Úú*ãŸ
2. B´ßÊ˛$-∞Mʸ øÍΔÊˇ-ô˲-ßÛ˛‘Ë˝ ^˲«-{ô˲ÃZ Ìfl˝Ö›Î-ƒÊ˝$$ô˲›ÎƒÊ˝$$´ßÊ˛ ¥˘Δ>-sÍ-ÀMʸ$ –ö˛$*À-Á≥#-ΔÊˇ$-ÁŸ$-yÏ˛V> G–ö˛-«∞ øÍ—-›Î¢ΔÊˇ$?G) —.yÏ˛.-›Î-–ö˛-ΔÊˇPΔäˇ º) –ÈÁ‹$-ßÛ˛–ö˛ ∫À”Öô˲ ∏ÎyÛ˛PÌ‹) ßë–˛*-ßÊ˛Δäˇ ^¯ı≥-MʸΔäˇ yÏ˛) G–ö˛-ΔÊˇ*-M>ßÊ˛$
3. —Á≥œ-–¯-ßÊ˛≈-–ö˛*À$ H Δ>{ÁŸtÖÃZ {¥ÎΔÊˇÖ-øÊ˝–˛$O ßÛ˛‘Ë˝-–ö˛$ÖôÈ –È≈Ì≥Ö-^ÈΔˇ$$?G) ªÒ˝ÖV>Ãå˝ º) –ö˛$‡-Δ>{ÁŸt Ì‹) Á≥ÖgÍªå˝ yÏ˛) ÃÍÁflZΔäˇ
4. –ö˛$‡-Δ>-{ÁŸtÃZ —Á≥œ-–¯-ßÊ˛≈–ö˛$Ö ^˛À-ΔÛˇ-Vʸ-yë-∞Mϸ{Á≥´ßëØ˲ M>ΔÊˇ◊˝Ö?G) Á≥#◊Ò˝ÃZ ı≥œVʸ$ –È≈´®Ú≥O {ºsÏ˝-ÁŸΔÊˇœ ∞ΔÊˇœÑʸ≈Ö º) ßÊ˛MʸP-ب˛-ÃZ HΔÊˇµ-yÏ˛Ø˲ MʸΔÊˇ$–ö˛# Ì‹) {ºsÏ˝ãŸ ßÊ˛Δ>æ-ΔÊˇ$À$, –Û˛yÊ˛$-MʸÀ$ yÏ˛) Ú≥O–ö˛±≤
5. 1897ÃZ Á≥#◊Ò˝ÃZ ı≥œVʸ$ –È≈´®-{Vʸ-Á‹$¢À Á≥rœ ∞ΔÊˇœ-Ñʸ≈ÖV> –ö˛≈–ö˛-Áfl˝-«Ö-_-Ø˲Ö-ßÊ˛$Mʸ$ Mʸ—$-ÁŸ-Ø˲ΔäˇΔ>≈Öyä˛, I«ã-‹t-ÀØ˲$ M>Õa ^˲ÖÌ≥Ö®?G) –ÈÁ‹$-ßÛ˛–ö˛ ∫À”Öô˲ ∏ÎyÛ˛P º) ßë–˛*-ßÊ˛Δäˇ ^¯ı≥-MʸΔäˇ Ì‹) ‘È≈Öi-Mʸñ-ÁŸ~-–ö˛ΔÊˇ√ yÏ˛) º, Ì‹ Á‹ΔˇO-Ø˲—
6. Mϸ֮ –ÈsÏ˝ÃZ —Á≥œ-–ö˛-M>-ΔÊˇ$yÊ˛$ ‘È≈Öi-Mʸñ-ÁŸ~-–ö˛-ΔÊˇ√MϸÁ‹Ö∫Ö-´®Ö-_Ø˲ –ÈÁ‹¢–ö˛Ö?G) EßÊ˛-ƒÊ˝$-Á≥NΔäˇ, kØÈ-Vʸ…ä˛ Á‹Ö›Î¶-ØÈÃZœ Á≥∞-^Û˛-‘ÈyÊ˛$º) CÖyÏ˛-ƒÊ˝$-ب˛ ›˘ÁŸ-ƒÊ˝*-À-hã‹t Á≥{ÜMʸ Ø˲yÏ˛-¥ÎyÊ˛$ Ì‹) ÀÖyÊ˛-ب˛-ÃZ ÁflZÖΔÊˇ*Ãå˝ ›˜Ú‹OsÓ˝ ›Î¶Ì≥Ö-^ÈΔÊˇ$ yÏ˛) Ú≥O–ö˛±≤
7. 'Indian war of Independence', "gZÁ‹ãú–ö˛*i∞ ^˲«{ô˲ Δ>f-MÓ¸-ƒÊ˝*À$' {Vʸ֣ëÀ$ ΔÊˇ_Ö-_Ö®?G) —.yÏ˛.-›Î-–ö˛ΔÊˇPΔäˇ º) Vʸ◊Ù˝-‘¨˝ ›Î–ö˛-ΔÊˇPΔäˇ Ì‹) øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸ yÏ˛) ßë–˛*-ßÊ˛Δäˇ ^¯ı≥-MʸΔäˇ
8. øÍΔÊˇ-ô˲-ßÛ˛-‘Ë˝ÖÃZ ôˆÕ AÜ-–ÈßÊ˛ —Á≥œ–ö˛ Á‹ÖÁ‹¶"—${ô˲-–Û˛$-‚Ê˝'∞ 1899ÃZ ›Î¶Ì≥Ö-_Ö®?G) —.yÏ˛.-›Î-–ö˛-ΔÊˇPΔäˇ º) Vʸ◊Ù˝-‘¨˝ ›Î–ö˛-ΔÊˇPΔäˇ Ì‹) ^˲Ö{ßÊ˛-‘Û˝-QΔäˇ AgÍßä˛ yÏ˛) G–ö˛-ΔÊˇ*-M>ßÊ˛$
9. Vʸ◊Ù˝-‘¨˝ ›Î–ö˛-ΔÊˇPΔäˇ 1907ÃZ "A¿-Ø˲–í øÍΔÊˇ-ô¨˛' AØÛ˛—Á≥œ–ö˛ Á‹ÖÁ‹¶Ø˲$ ›Î¶Ì≥Ö-^˲-yë-∞Mϸ {ı≥ΔÊˇ-◊˝V> ∞Õ-_Ø˲ AÖ‘Ë˝Ö?G) fΔÊˇ√± HMÓ¸-Mʸ-ΔÊˇ◊˝ º) ΔÊˇ⁄Î≈Ú≥O f¥Î-ب˛ —fƒÊ˝$ÖÌ‹) Cr-ŒÚ≥O Aªå˝-Ô‹-∞ƒÊ˝* —fƒÊ˝$Ö yÏ˛) ƒÊ˝$ÖVä¸ CrŒ EßÊ˛≈–ö˛$Ö
10. ›Î–ö˛-ΔÊˇPΔäˇ ›˘ßÊ˛-ΔÊˇ$À AΔˇã-‹tMʸ$ M>ΔÊˇ-◊˝-–˛$OØ˲ MÛ¸Á‹$?G) ªüÖªÍΔˇ$$ Mʸ${r MÛ¸Á‹$ º) ØÈÌ‹Mä¸ Mʸ${r MÛ¸Á‹$
Ì‹) Á≥#◊Ò˝ Mʸ${r MÛ¸Á‹$ yÏ˛) H©-M>ßÊ˛$11. ªÒ˝ÖV>-Ãå˝ÃZ HΔÊˇµ-yÏ˛Ø˲ ôˆÕ AÜ-–ÈßÊ˛ Á‹ÖÁ‹¶?
G) ªÒ˝ÖV>Ãå˝ GØ˲»j ›˜Ú‹OsÓ˝ º) AØ˲$-÷-ÀØ˲ Á‹—$Ü Ì‹) Á‹”Δ>f≈ Á‹—$Ü yÏ˛) Á‹”ßÛ˛÷ Á‹—$Ü
12. 1902ÃZ ªÒ˝ÖV>-Ãå˝ÃZ AØ˲$-÷-ÀØ˲ Á‹—$-Ü∞ HΔ>µ-r$-^Û˛-Ì‹Ö®?G) øÊ˝*ı≥Ö-{ßÊ˛-ØÈ-£ä˛-ßÊ˛-ô¨˛ º) ∫»Ö-{ßÊ˛-Mʸ$-–ö˛*Δäˇ Úú*ãŸÌ‹) {Á≥–˛*-ßä˛-—$-ô˲Δäˇ yÏ˛) Ú≥O–È-ΔÊˇÖ-ßÊ˛ΔÊˇ*
13. 1902ÃZ Á≥#Œ-ب˛-ßëã-‹ AØÛ˛ —Á≥œ-–ö˛-M>-ΔÊˇ$yÊ˛$ ›Î¶Ì≥Ö-_Ø˲ AÜ-–ÈßÊ˛ Á‹ÖÁ‹¶?G) Á‹”Δ>gå˝ ›Î´ßÊ˛Ø˲ Á‹—$Ü º) …ëM> AØ˲$-÷-ÀØ˲ Á‹—$Ü Ì‹) fØ˲ –ö˛$ÖVʸ‚Ê˝ Á‹—$Ü yÏ˛) MʸÀ-MʸôÈ¢ Á‹ΔÊˇ-Á‹”ÜÁ‹—$Ü
14. —Á≥œ-–ö˛-–È-ßë∞≤ {Á≥^ÈΔÊˇÖ ^Û˛ƒÊ˝$-yë-∞Mϸ AΔÊˇ-—Ö-ß䲲-Úú*㟠›Î¶Ì≥Ö-_Ø˲ Á≥{ÜMʸ?G) –ö˛ÖßÛ˛-–ö˛*-ô˲ΔÊˇÖ º) Á‹Ö´ßÊ˛≈ Ì‹) Ø˲–ö˛-‘Ë˝Mϸ¢ yÏ˛) ƒÊ˝$$V>Ö-ô˲Δäˇ
15. øÊ˝–È∞ –ö˛$Ö®-Δ>∞≤ ›Î¶Ì≥Ö_ "Ø˲*≈ÃÍ≈Öyä˛fi BãúßÊ˛ –ö˛ΔÊˇÃå˝z' ı≥«r MʸΔÊˇ-Á≥-{ôÈÀ$ {Á≥^˲$-«Ö-_Ö®?G) AΔÊˇ-—Ößä˛ Úú*㟠º) øÊ˝*ı≥Ö-{ßÊ˛-ØÈ-£ä˛- ßÊ˛-ô¨˛ Ì‹) {Á≥Á≥#-Àœ-^ÈMÓ¸ yÏ˛) {Á≥–˛*-ßä˛-—$-ô˲Δäˇ
16. 1908ÃZ Á‹”ô˲Ö{ô˲ Á‹–ö˛$-ΔÊˇ-ƒÒ˝*-´ßÊ˛$Õ≤ AM>-ΔÊˇ-◊˝ÖV> ’Ñϸ-Á‹$¢Ø˲≤ ØÈ≈ƒÊ˝$-–ö˛$*«¢ MϸÖVä¸-Áú-ΔäˇzÚ≥OÁfl˝ôÈ≈-ƒÊ˝$ô˲≤Ö ^Û˛Ì‹ E«-’-ÑʸMʸ$ Vʸ$ΔˇOØ˲®?G) {Á≥Á≥#Àœ ^ÈMÓ¸ º) Q$©-Δ>Ö-ªZã‹ Ì‹) AΔÊˇ-—Ößä˛ Úú*㟠yÏ˛) G–ö˛-ΔÊˇ*-M>ßÊ˛$
17. AΔÊˇ-—Ößä˛ Úú*ãŸ, ∫»Ö-{ßÊ˛-Mʸ$-–ö˛*Δäˇ Úú*ãŸAΔˇã-‹tMʸ$ M>ΔÊˇ-◊˝-–˛$OØ˲ MÛ¸Á‹$?G) ÃÍÁflZΔäˇ Mʸ${r MÛ¸Á‹$ º) BŒ-Á≥NΔäˇ Mʸ${r MÛ¸Á‹$ Ì‹) …ëM> ı≥À$‚Ê˝œ MÛ¸Á‹$ yÏ˛) MʸÀ-MʸôÈ¢ Mʸ${r MÛ¸Á‹$
18. J«›Îfi ªÍÃÍ-›˘-ΔäˇÃZ ›ÎƒÊ˝$$´ßÊ˛ ÜΔÊˇ$-Vʸ$-ªÍr${¥ÎΔÊˇÖ-¿Ö-_Ø˲ —Á≥œ-–ö˛-M>-ΔÊˇ$yÊ˛$?G) fÜ-ب˛ –ö˛$$Q»j º) {Á≥Á≥#-Àœ-^ÈMÓ¸ Ì‹) –ö˛$د-ΔÊˇÖ-f-ب˛ yÏ˛) G–ö˛-ΔÊˇ*-M>ßÊ˛$
19. –ö˛${ßëÁ‹$ {Ú≥Ì‹-y˛-±fiÃZ ›Î¶Ì≥Ö-_Ø˲ —Á≥œ–ö˛Á‹ÖÁú$Ö?G) øÍΔÊˇ-ô˲-–ö˛*ô˲ Á‹ÖÁú$Ö º) øÍΔÊˇô˲ ›Î”ô˲Ö{ô˲≈ Á‹ÖÁú$Ö Ì‹) øÍΔÊˇ-ô˲-Á≥#-{ô˲$À Á‹ÖÁú$Ö yÏ˛) ßÛ˛‘Ë˝-øÊ˝-Mʸ$¢À Á‹ÖÁú$Ö
20. ÜΔÊˇ$-ØÛ˛”Õ hÃÍœÃZ ›ÎƒÊ˝$$´ßÊ˛ ¥˘Δ>r Á‹ÖÁ‹¶Ø˲$›Î¶Ì≥Ö-_Ø˲ —Á≥œ-–ö˛-“-ΔÊˇ$yÊ˛$?G) ôÈΔÊˇ-Mʸ-ØÈ-£ä˛-ßëã‹ º) ±À-MʸÖuÊˇ {∫Áfl˝√-^È« Ì‹) —.—.-Gã-‹.-A-ƒÊ˝$≈Δäˇ yÏ˛) _ßÊ˛Ö-∫ΔÊˇÖ Ì≥‚Ò˝ïœ
21. Mϸ֮ –ÈsÏ˝ÃZ ÃÍÃå˝ Áfl˝«-ßÊ˛-ƒÊ˝*-‚å˝Mʸ$ Á‹Ö∫Ö-´®Ö-_Ø˲ –ÈÁ‹¢-–È∞≤ Vʸ$«¢Ö-^˲ÖyÏ˛?G) {Á≥–ÈÁ‹ øÍΔÊˇ-°-ƒÊ˝$$ÃZœ —Á≥œ-–È-W≤∞ ΔÊˇW-ÕÖ-^ÈyÊ˛$º) 1915ÃZ ‘Èب˛-{∏Î-∞fi-›˘P-ÃZ VʸßÊ˛Δäˇ ¥Î»t∞ ›Î¶Ì≥Ö-^ÈyÊ˛$ Ì‹) A–˛$-«-M>ÃZ AΔˇã‹t AΔˇ$$, Ì‹”rj-Δ>œÖ-yä˛ÃZ
—Á≥œ–ö˛Ö ›ÎWÖ-^ÈyÊ˛$ yÏ˛) Ú≥O–ö˛±≤22. A–˛$-«M>, ƒÊ˝$*ΔÊˇã≥ QÖyëÃZœ øÍΔÊˇô˲ ›Î”ô˲Ö{ô˲≈
EßÊ˛≈-–ö˛*∞≤ {Á≥^ÈΔÊˇÖ ^Û˛Ì‹, gÒ˝±–È Á‹ßÊ˛-Á‹$fiÃZøÍΔÊˇô˲ gÍ°ƒÊ˝$ Á≥ôÈ-M>∞≤ GVʸ$-ΔÊˇ-–Û˛-Ì‹Ö®?G) A∞-º-Ú‹Öså˝ º) ÀÑÓ¸√-Ú‹-Ø˲-VʸÃå˝ Ì‹) –Û˛$yÊ˛–í˛$ M>–ö˛$ yÏ˛) G–ö˛ΔÊˇ* M>ßÊ˛$
23. VʸßÊ˛Δäˇ ¥Î»tÃZ ^Û˛«Ø˲ BÖ{´ßÊ˛$yÊ˛$?G) V>yÏ˛-^˲ΔÊˇœ Áfl˝«-Á‹-Δ¯”-ô˲¢-–ö˛$-Δ>–ö˛# º) ßÊ˛«ÿ ^˛Ö^˲ƒÊ˝$≈Ì‹) BØ˲Ö-ßë-^È« yÏ˛) G–ö˛-ΔÊˇ*-M>ßÊ˛$
24. MϸÖßÊ˛ ı≥ΔˆPØ˲≤ AÖ‘ÈÃZœ “ΔÛˇÖ-{ßÊ˛-ØÈ£ä˛ ^˲sZ-¥Î-´ßë≈-ƒÊ˝$Mʸ$ Á‹Ö∫Ö-´®Ö-_Ø˲ –ÈÁ‹¢–ö˛Ö?G) fΔÊˇ√-±-ÃZ∞ ªÒ˝«œ-ب˛-ÃZ —Á≥œ–ö˛ M>ΔÊˇ≈-{Mʸ-–ö˛*À$ ∞ΔÊˇ”-Ìfl˝Ö-^ÈyÊ˛$º) h–ö˛$√Δäˇ ¥ÎœØ¨˛ AØÛ˛ —Á≥œ–ö˛ Á≥£Ê˛MÊ¸Ö ΔÊˇ*¥˜Ö-®Ö-^ÈyÊ˛$ Ì‹) 1915ÃZ ªÒ˝«œ-ب˛-ÃZ CÖyÏ˛-ƒÊ˝$-ب˛ CÖyÏ˛-Ú≥Ö-y˛-ب˛fi ŒV丛ζÌ≥Ö-^ÈyÊ˛$ yÏ˛) Ú≥O–ö˛±≤
25. 1915 Mˆ–ö˛$-Vʸ-r-–ö˛*ΔÊˇ$ Á‹ÖÁú$-rØ˲ EßÊ˛Öô˲ÖßÛ˛∞Mϸ Á‹Ö∫Ö-´®Ö-_Ö®?G) Ì‹Mʸ$PÀ$ MˆÖßÊ˛ΔÊˇ$ AØ˲$-–ö˛$Ü ÃÙ˝Mʸ$Öyë M¸Ø˲yë–˛‚Ê˝œyÊ˛Ö º) Ì‹Mʸ$P —Á≥œ-–ö˛-M>-ΔÊˇ$À$ BƒÊ˝$$-´ßë-ÀØ˲$ M¸Ø˲yëØ˲$Ö_ ¥˜ÖßÊ˛yÊ˛Ö Ì‹) Mˆ–ö˛$-Vʸ-r-–ö˛*ΔÊˇ$ Ø˙Mʸ-ÃZ∞ {Á≥ƒÊ˝*-◊Ï˝-Mʸ$-ÀØ˲$ —Á≥œ-–ö˛-M>-ΔÊˇ$-À$V> øÍ—Ö-^˲yÊ˛Ö yÏ˛) Ú≥O–Û˛“ M>ßÊ˛$
26. øÍΔÊˇ-ô˲-ßÛ˛‘Ë˝ Δ>f-´ßë-∞∞ MʸÀ-MʸôÈ¢ Ø˲$Ö_ …Ï˛ŒœMϸ–ö˛*«a-Ø˲Ö-ßÊ˛$Mʸ$ –˛O{‘ÈΔˇ$$ Áfl˝«zÖ-gå˝Ú≥O ªÍÖ∫$ßëyÏ˛ ^Û˛Ì‹Ö®? G) —‘Ȕ㋠º) Δ>gå˝ º‡-«-ªZã‹ Ì‹) ∫ΔÊˇP-ô˲$-ÃÍœ-RÍ-ب˛ yÏ˛) Δ>–ö˛$-^˲Ö{ßÊ˛ øÊ˝ΔÊˇ-ßë”gå˝
27. _rt-V>Ö-Vä¸ÃZ —Á≥œ–ö˛ Á‹—$-Ü∞ HΔ>µ-r$-^Û˛-Ì‹Ö®?G) Á‹*ΔÊˇ≈-ı‹-ب˛ º) V¯Ô≥-ØÈ-£ä˛-›ÎÁfl˝ì Ì‹) ^˲Ö{ßÊ˛-‘Û˝-QΔäˇ BgÍßä˛ yÏ˛) G–ö˛-ΔÊˇ*-M>ßÊ˛$
28. M>M¯« Mʸ${r MÛ¸Á‹$ÃZ E«-’-ÑʸMʸ$ Vʸ$ΔˇOØ˲®?G) Á‹*ΔÊˇ≈-ı‹-ب˛ º) Δ>–í˛$-{Á≥-›Îßä˛ ºÌ‹√Ãå˝ Ì‹) V¯Ì≥-ØÈ-£ä˛-›ÎÁfl˝ì yÏ˛) G–ö˛-ΔÊˇ*-M>ßÊ˛$
29. 1928ÃZ Ú‹O–ö˛$-ب˛ Mʸ—$-ÁŸ-ب˛ –ö˛≈Ü-ΔÛˇMʸ EßÊ˛≈-–ö˛$ÖÃZ›ÎÖyÊ˛Δäˇfi AØÛ˛ ¥˘Œã‹ A´®-M>« f«-Ì≥Ø˲ ÃÍw-^È-ΔäˇjÃZ –ö˛$ΔÊˇ-◊Ï˝Ö-_Ø˲ gÍ°ƒÊ˝$ ØÈƒÊ˝$-Mʸ$yÊ˛$?G) ÃÍÃÍ-À-f-Á≥-Ü-Δ>ƒå˝$ º) ºÌ≥-ب˛-^˲Ö-{ßÊ˛-¥Î-Ãå˝ Ì‹) AΔÊˇ-—Ößä˛ Úú*㟠yÏ˛) ªÍÀ-VʸÖ-V>-´ßÊ˛Δäˇ ÜÀMä¸
30. ›ÎÖyÊ˛-ΔäˇfiØ˲$ ÃÍÁflZ-ΔäˇÃZ M>Õa ^˲ÖÌ≥Ö® G–ö˛ΔÊˇ$?G) øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸ º) Δ>f-Vʸ$ΔÊˇ$ Ì‹) Á‹$Q-ßÛ˛-‘¨˝ yÏ˛) Ú≥O–È-ΔÊˇÖ-ßÊ˛ΔÊˇ*
31. "CÖMϸ”-Ãͪå˝.. hÖßë-ªÍßä˛' AØÛ˛ ∞ØÈ-ßë-∞MϸÁ‹Ö∫Ö-´®Ö_ Mϸ֮ –ÈsÏ˝ÃZ –ÈÁ‹¢–ö˛Ö?G) ∞ØÈ-ßë-∞Mϸ AΔÊˇ¶Ö —Á≥œ–ö˛Ö –ö˛«Æ-ÃÍÕœ º) ∞ØÈ-ßë∞≤ AÖ®Ö-_Ö® –ö˛$Áfl˝√ßä˛ CM>æÃå˝ Ì‹) ∞ØÈ-ßë∞≤ Á≥Õ-MϸØ˲ —Á≥œ-–ö˛-M>-ΔÊˇ$yÊ˛$ øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸
yÏ˛) Ú≥O–ö˛±≤32. 1929ÃZ MÛ¸Ö{ßÊ˛ ‘ÈÁ‹Ø˲ Á‹øÊ˝ÃZ ªÍÖ∫$À$ –Û˛Ì‹
AΔˇã‹t AΔˇ$$Ø˲ —Á≥œ-–ö˛-M>-ΔÊˇ$À$?G) øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸, øÊ˝r-MÛ¸-‘Ë˝”-Δäˇ-ßÊ˛-ô¨˛ º) øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸, ^˲Ö{ßÊ˛-‘Û˝-QΔäˇ BgÍßä˛ Ì‹) øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸, Á‹$Q-ßÛ˛–í˛ yÏ˛) øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸, Δ>gå˝-Vʸ$ΔÊˇ$
33. øÊ˝Vʸ-ô¨˛-Ì‹Ö-Vä¸, Aô˲∞ —${ô˲ ∫ñÖßë∞≤ ÃÍÁflZΔäˇMʸ${r MÛ¸Á‹$ÃZ øÍVʸÖV> GÁ≥#µyÊ˛$ E« °‘ÈΔÊˇ$?G) 1931 –ö˛*«a 21 º) 1931 –ö˛*«a 22 Ì‹) 1931 –ö˛*«a 23 yÏ˛) 1931 –ö˛*«a 25
34. Mϸ֮ –ÈsÏ˝ÃZ —Á≥œ-–ö˛-M>-ΔÊˇ$yÊ˛$ ^˲Ö{ßÊ˛-‘Û˝-QΔäˇ BgÍ-ßä˛Mʸ$ Á‹Ö∫Ö-´®Ö-_Ø˲ –ÈÁ‹¢–ö˛Ö?G) ÃÍΔäˇz C«”-ب˛ {Á≥ƒÊ˝*-◊Ï˝-Á‹$¢Ø˲≤ ΔˇOÀ$ ı≥Õa-–Û˛ô˲ º) Ìfl˝ÖßÊ˛$-›Î¶-ب˛ ›˘ÁŸ-Õã‹t «Á≥-ºœMä¸ B»√ ›Î¶Á≥Ø˲ Ì‹) 1931 AÀ-‡-ªÍßä˛ BÃå˝-[ÚúOyä˛ ¥ÎΔäˇPÃZ “ΔÊˇ-–ö˛$-ΔÊˇ◊˝Ö yÏ˛) Ú≥O–ö˛±≤
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B. LAXMINARAYANA
M.Sc., B.Ed.,
Senior Maths Faculty
9849386253
PARABOLA
SOLVED QUESTIONSSOLVED QUESTIONS
PRACTICE QUESTIONS
3.
Whose focal distance is 10?
MATHS - 2 B
6 16, 2017- nthyd.comntnews.com
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3) 14, 15 4) 9,10
44. Ð]l$à¿êÆý‡™é°² çÜ…çÜP–™èl… ¯]l$…_»ñæ…V>ÎÌZMìS A¯]l$Ð]l¨…ç³gôæíܯ]l ÐéÆð‡Ð]lÆý‡$?1) ]l{çÜ™Œæ Úë2) Ogñæ Œæ & EÌŒæ & A¼¨ Œæ3) AçßæçŠæ Úë 4) Ë„ýSÃ×æ õÜ ]l$yýl$
45. OÐðlçÙ~Ð]lÐ]l$™èl "¯éÌêƇ¬Æý‡ ¨Ð]lÅ {糺…«§ýl…' H¿êçÙÌZ E…¨?1) çÜ…çÜP–™èl… 2) Ð]l$â¶æĶæ*Ë…3) JÇĶæ* 4) ™èlÑ$â¶æ…
46. MìS…¨ ÐésìæÌZ çÜOÆð‡¯]l f™èl H¨?1) ç³…yýlÈ ç³#Æý‡… & Ñuý‡Ë¯é£ýl$yýl$2) Ð]lËÏ¿ê^éÆý‡$Åyýl$ & ç³#íÙx Ð]l*Æý‡Y…3) èl…yîl§éçÜ$ & MýS–çÙ~ ¿¶æMìS¢4) Oò³Ð]l±² çÜOÆð‡ ]lÐól
47. Æ>Ð]l*¯]l$gê ^éÆý‡$ÅË$ §ýlÇØ…_¯]l 糧ýlàÆý‡$¨Ð]lÅ „óS{™éÌZÏ ™ðlË$VýS$ {´ë…™é°MìS ^ðl…¨…¨H¨?1) †Æý‡$糆 2) }M>MýS$â¶æ…3) íÜ…à^èlË… 4) Oò³Ð]l±²
48. ½½ ¯é…^éÆý‡Ð]l$ÃV> Ð]l¬íÜÏ…Ë$ MýS*yéç³Nh…^ól íßæ…§ýl* §ólÐ]l™èl GÐ]lÆý‡$?1) ^ðl…V>â¶æÐ]l$à 2) MýS¯]lMýS§ýl$Æý‡Y3) AËÐól$Ë$ Ð]l$…VýSÐ]l$Ã4) ´ùÌôæÆý‡Ð]l$Ã
49. VóSçÜ$§ólÆ>gŒæ ™èl¯]l çÜ*ïœ íܧ鮅™é˯]l$GMýSPyýl ÐéÅí³¢ ^ólÔ>yýl$?1) MýSÖÃÆŠæ 2) §ýlMýSP¯Œæ3) ò³ÚëÐ]lÆŠæ 4) ™èl*Æý‡$µ ¿êÆý‡™Œæ
50. íßæ…© 糧é˯]l$ Eç³Äñæ*W…_ Æý‡^èl¯]lË$^ólíܯ]l ™öÍ Ð]l¬íÜÏ… MýSÑ?1) Ogñæ ]l$ÌŒæ A¼¨ Œæ 2) õÙMŠæ Ð]l¬»êÆý‡MŠæ3) Aº$ÌŒæ çœfÌŒæ 4) AÒ$ÆŠæ Q${çÜ*
51. Ð]l$«§éÓ^éÆý‡$Å˯]l$ ™èl¯]l BÝ릯é°MìS BàÓ-°…_¯]l ÉìlÎÏ çÜ$ÌꢯŒæ GÐ]lÆý‡$?1) »ê˾¯Œæ 2) AÌêÏÐ]l#©ª Œæ üÎj3) Ð]l$çßæÐ]l$çŠæ ¼ Œæ ™èl$VýSÏMŠæ4) íÜMìS…§ýlÆŠæ ÌZyìl
52. AMýS¾ÆŠæ íßæ…§ýl$Ð]l#ËOò³ hhĶæ* 糯]l$²Gç³#µyýl$ Æý‡§ýl$ª ^ólÔ>yýl$?1) 1556 2) 1564
3) 1574 4) 1582
53. }Ð]l*¯Œæ Æ>Ð]l*¯]l$gê^éÆý‡$ÅË$ GMýSPyýlÐ]l$Æý‡×ìæ…^éÆý‡$?
1) Eyìlí³ 2) {Ô>Ð]l×æ »ñæâ¶æVöâ¶æ3) Զ斅VóSÇ 4) }Æý‡…VýS…
54. ¯úÆøgŒæ ç³…yýl$VýS fÆý‡$ç³#MøÐ]lyé°² °õÙ«¨…-_…§ðlÐ]lÆý‡$?1) »êºÆŠæ 2) LÆý‡…VýSgôæº$3) AMýS¾ÆŠæ 4) fçßæ…XÆŠæ
55. »ê»ê Ķæ*MýS$™Œæ MøçÜ… Ð]l$ïܧŠæ¯]l$ °ÇÃ…_¯]líßæ…§ýl* ´ëËMýS$yýl$?1) Æ>×ê {糙鋳íÜ…VŠæ2) Æ>×ê çÜ…{V>Ð]l$íÜ…VŠæ3) bèl{™èl糆 ÕÐéi4) Ððl¬§ýlsìæ »êiÆ>Ð]l#
56. íÜMýS$PË OòÜ°MýS Ð]lÅÐ]lçܦ õ³Æý‡$?1) RêÐŒl$Þ 2) QÌêÞ3) ´ùËgŒæ 4) QÆý‡gŒæ
57. O^ðl™èl¯]l$Åyýl$ GMýSPyýl f°Ã…^éyýl$?1) ç³NÈ 2) ¯]lÐ]l©Óç³…3) Զ斅VóSÇ 4) M>…`ç³#Æý‡…
çÜÐ]l*«§é¯éË$1) 4 2) 3 3) 1 4) 2 5) 2
6) 1 7) 4 8) 3 9) 2 10) 4
11) 3 12) 2 13) 1 14) 3 15) 2
16) 4 17) 4 18) 1 19) 4 20) 3
21) 3 22) 2 23) 3 24) 4 25) 4
26) 3 27) 2 28) 4 29) 1 30) 2
31) 4 32) 4 33) 1 34) 4 35) 2
36) 4 37) 3 38) 2 39) 1 40) 4
41) 2 42) 3 43) 1 44) 1 45) 4
46) 4 47) 4 48) 3 49) 2 50) 4
51) 1 52) 2 53) 4 54) 2 55) 3
56) 2 57) 2
VýS$…r*Æý‡$ l ÝùÐ]l$ÐéÆý‡… l
AMøtºÆŠæ l 16 l 2017ѧýlÅ14
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"{ç³fË ¿êçÙ {ç³Ð]líßæ…^ól ¯]l¨ Ìê…sìæ¨' A¯]l²§ðlÐ]lÆý‡$?G…. Ððl…MýSrÆý‡Ð]l$×æÆ>Ð]l#
AíÜòÜt…sŒæ {´÷òœçÜÆŠæ,{糿¶æ$™èlÓ yìl{X MýSâêÔ>Ë.
f¯]lÆý‡ÌŒæ çÜtyîl‹Üf¯]lÆý‡ÌŒæ çÜtyîl‹Üf¯]lÆý‡ÌŒæ çÜtyîl‹Üf¯]lÆý‡ÌŒæ çÜtyîl‹Üf¯]lÆý‡ÌŒæ çÜtyîl‹Üf¯]lÆý‡ÌŒæ çÜtyîl‹Üf¯]lÆý‡ÌŒæ çÜtyîl‹Üf¯]lÆý‡ÌŒæ çÜtyîl‹Ü
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C…yìlĶæ$¯Œæ íßæçÜtÈC…yìlĶæ$¯Œæ íßæçÜtÈC…yìlĶæ$¯Œæ íßæçÜtÈC…yìlĶæ$¯Œæ íßæçÜtÈC…yìlĶæ$¯Œæ íßæçÜtÈC…yìlĶæ$¯Œæ íßæçÜtÈC…yìlĶæ$¯Œæ íßæçÜtÈC…yìlĶæ$ Œæ íßæçÜtÈC…yìlĶæ$¯Œæ íßæçÜtÈ
1 C 26 C 51 B 76 D
2 * 27 D 52 B 77 D
3 A 28 B 53 C 78 *
4 C 29 A 54 C 79 B
5 B 30 A 55 A 80 A
6 C 31 D 56 C 81 B
7 D 32 A 57 C 82 C
8 D 33 D 58 C 83 A
9 A 34 B 59 C 84 C
10 C 35 A 60 C 85 B
11 D 36 B 61 C 86 B
12 D 37 B 62 C 87 D
13 B 38 C 63 D 88 D
14 C 39 D 64 B 89 A
15 B 40 C 65 D 90 D
16 A 41 D 66 B 91 B
17 C 42 A 67 C 92 A
18 C 43 B 68 D 93 D
19 B 44 B 69 B 94 B
20 D 45 C 70 B 95 C
21 C 46 C 71 A 96 B
22 C 47 D 72 B 97 C
23 A 48 B 73 D 98 B
24 D 49 D 74 A 99 D
25 * 50 C 75 B 100 B
2017 AMøtºÆŠæ 15 (B¨ÐéÆý‡…)¯]l °Æý‡Óíßæ…_¯]lI½ HïÜIK OsñæÆŠæ&1 Æ>™èlç³È„ýSMýS$ A¯]l$-¿¶æ-Ð]l-kq-OÌñæ-¯]l
"Ýë„ìS' °ç³#-×æ$-Ë-™ø "MîS' Æý‡*´÷…¨…_ A…-¨-çÜ$¢-¯é²…. C¨ A¿¶æÅ-Æý‡$¦-Ë A-Ð]l-V>-çßæ-¯]l
MøççÜ… Ð]l*{™èlÐól$. {ç³Ô¶æ²ç³{™éË MøçÜ…www.sakshieducation.com ^èl*yýl…yìl.
* VýS$Æý‡$¢ E¯]l² {ç³Ô¶æ²MýS$ çÜOÆð‡¯]l çÜÐ]l*«§é¯]l… Ìôæ§ýl$. QNo.
I½ HïÜIK OsñæÆŠæ&1 Æ>™èl ç³È„ýS "MîS'
VýS$…r*Æý‡$ l ÝùÐ]l$ÐéÆý‡… l
AMøtºÆŠæ l 16 l 2017 15ѧýlÅ
Model Questions
Directions (Q.No. 1-5): Read each
sentence to find out whether there is
any grammatical mistake/ error in it.
The error, if any, will be in one part of
the sentence. Mark the number of that
part with error as your answer. If there
is 'No error', mark (5) as your answer.
1. The opposition parties (1)/ on
Saturday (2)/ strongly criticized
(3)/ Chief Minister's tirade again
them. (4)/ No error (5)
2. The lathicharge on students (1)/
led to widespread outrage and te-
achers, (2)/especially woman, de-
fended the girls rights (3)/ to a sa-
fer environment. (4)/ No error (5)
3. All police officers who joined the
service before 1994 (1)/ and wai-
ting for promotions (2)/ will get
their respect promotions soon
(3)/ if they fulfill all the eligib-
ility conditions. (4)/ No error (5)
4. A batch of civil services aspirants
(1)/ from across the country (2)/
have moved the Supreme Court
(3)/ for the conduct of Civil Ser-
vices preliminary examination.
(4)/ No error (5)
5. Being worked for whole day, (1)/
you should have taken some rest
(2)/ and started (3)/ the work
tomorrow. (4)/ No error (5)
Directions: (Q.No. 6-10) Which
of the phrases (1), (2), (3), and (4) gi-
ven below each sentence should rep-
lace the phrase underlined in the se-
ntence to make it grammatically co-
rrect? If there is no error mark (5) No
correction required as your answer.
6. When it was morning they deci-
ded to put at an inn?
1) put off 2) put at
3) put up at 4) put off at
5) No correction required
7. I gave my cousin a children's
very colourfully illustrated Atlas.
1) a very colourfully illustrated
children's Atlas
2) an illustrated child's very colo-
urful Atlas
3) An illustrated children's colo-
urful Atlas
4) A very illustrated colourful
chidren's Atlas
5) No correction required
8. Hardly does the sun rise when
the stars disappeared.
1) did the sun rose
2) the sun rose
3) have the sun rise
4) had the sun risen
5) No correction required
9. Hemanth would have been look-
ed elegant in formal dress.
1) was looked 2) had looked
3) would be looked
4) would have looked
5) No correction required
10. Due to heavy rain the number of
vehicles on the road last week is
very small.
1) was very less
2) is very little 3) was little
4) was very minute
5) No correction required
Directions (Q.No. 11-15): Rear-
range the following six sentences
(A), (B), (C), (D), (E) and (F) in a
proper sequence to form a meanin-
gful paragraph and then answer the
questions given below.
A) According to Human Rights
Watch, the 1982 laws effectively
deny to the Rohingya the poss-
ibility of acquiring a nationality.
B) They are also restricted from fre-
edom of movement, state educ-
ation and civil service jobs. The
legal conditions faced by the
Rohingya in Myanmar have been
compared with Apartheid.
C) The Rohingya people historically
also termed Arakanese Indians
are a stateless Indo-Aryan people
from Rakhine State, Myanmar.
D) There were an estimated 1 milli-
on Rohingya living in Myanmar
before the 2016-17 crisis. The
majority are muslim while a few
are Hindu.
E) Despite being able to trace Rohi-
ngya history to the 8th century,
Myanmar law does not recognize
the ethnic minority as one of the
eight "national races".
F) Described by the United Nations
in 2013 as one of the most perse-
cuted minorities in the world, the
Rohingya population is denied
citizenship under the 1982 Mya-
nmar nationality law.
11. What is the FIRST sentence after
rearrangement?
1) A 2) B 3) C 4) D 5) F
12. What is the SECOND sentence
after rearrangement?
1) A 2) B 3) C 4) D 5) F
13. What is the THIRD sentence
after rearrangement?
1) A 2) B 3) D 4) E 5) F
14. What is the FOURTH sentence
after rearrangement?
1) A 2) B 3) C 4) D 5) E
15. What is the LAST sentence after
rearrangement?
1) A 2) B 3) C 4) D 5) E
KEY
1) 4 2) 3 3) 3 4) 4 5) 1
6) 3 7) 1 8) 4 9) 4 10) 1
11) 3 12) 4 13) 5 14) 1 15) 2
A…MýS-VýS-×ìæ™èl {´ë£ýl-Ñ$MýS íܧ鮅™èl…
{糆 ç܅Ķæ¬MýS¢ çÜ…QÅ ]l$ {糫§é- é…-M>Ë˺®…V> Æ>Äñæ¬ èl$a. {糫§é ]l M>Æý‡-×ê…-M>Ë{MýSÐ]l$… HO§ðl- é D M>Æý‡-×ê…-M>Ë Ëº®… HOMðSMýS….
A…sôæ ç܅Ķæ¬MýS¢ çÜ…QÅ x ]l$ x = p1, p2,
p3 ... pn A° Æ>Ķæ$VýSÍW™ól, CMýSPyýl p1, p2,
p3, ... pnË$ BÆø-çßæ×æ {MýSÐ]l$…ÌZ Æ>íÜ ]l {糫§é-¯é…-M>Ë$.
E§é: 156 = 2 × 2 × 3 × 13
= 22 × 31 × 131
3825 = 3 × 3 × 5 × 5 × 17
= 32 × 52 × 17
ѧéÅ {ç³Ð]l*×êË ÐéÈV> çÜÐ]l$çÜÅË$
1. MìS…¨ ÐésìæÌZ {糆 çÜ…Qů]l$ {糫§é¯]l M>Æý‡×ê…M>Ë Ëº®…V> Æ>Ķæ$…yìl?
(çÜÐ]l$çÜÅ Ý뫧ýl¯]l)i) 5005 ii) 7429
f. i) 5005 = 5 × 7 × 11 × 13
ii) 7429 = 17 × 19 × 23
2. n JMýS çÜçßæf çÜ…QÅ AƇ¬™ól 6n çÜ…QÅçÜ$¯é²™ø A…™èlÐ]l$Ð]l#™èl$…§ø, M>§ø ÑÐ]lÇ…-^èl…yìl?(M>Æý‡×êË$ ^ðlç³µyýl… & °Æý‡*ç³×æ^ólĶæ$yýl…)
f. n JMýS çÜçßæf çÜ…QÅn = 1 AƇ¬™ól 6n = 61 = 6
n = 2 AƇ¬™ól 6n = 62 = 6 × 6 = 36
n = 3 AƇ¬™ól 6n = 63
= 6 × 6 × 6 = 216
çÜçßæf çÜ…QÅ n, H ÑË$Ð]lOMðS¯é 6n
ÑçÜ¢Æý‡×æÌZ JMýSrÏ Ýë¦ ]l…ÌZ "6' E…¨.∴ n, H ÑË$Ð]lOMðS¯é 6n çÜ$¯é²™ø A…™èl…M>§ýl$.
3. Ð]l–„ýS _{™èl… ¯]l$…_ x, y, z ÑË$Ð]lË$ MýS¯]l$-MøP…yìl?(§ýl–ÖÅMýSÆý‡×æ & {´ë†°«§ýlÅç³Æý‡ayýl…)
f. Ð]l–„ýS _{™èl… ]l$…_z = 5 × 7 = 35
y = 5 × z
= 5 × 35 = 175
x = 3 × y
= 3 × 175 = 525
∴ x = 525 = 3 × 5 ×
5 × 7
4. 7 × 11 × 13 + 13, 7 × 6 × 5 × 4 ×
3 × 2 × 1 + 5 H Ñ«§ýl…V> ç܅Ķæ¬MýS¢çÜ…QÅËÐ]l#™éÄñæ* ÑÐ]lÇ…^èl…yìl?(M>Æý‡×êË$ ^ðlç³µyýl… & °Æý‡*ç³×æ^ólĶæ$yýl…)
f. i) 7 × 11 × 13 + 13
= 13 [ 7 × 11 × 1 + 1]
= 13 [ 77 + 1]
= 13 × 78
= 13 × 2 × 3 × 13
= 2 × 3 × 13 × 13
= 2 × 3 × 132
7 × 11 × 13 + 13 ]l$ 2 × 3 × 132V>{糫§é¯é…M>Ë Ëº®…V> Æ>Ķæ$VýSË$VýS$™èl$-¯é²…. M>ºsìæt A…MýSVýS×ìæ™èl {´ë£ýlÑ$MýSíܧ鮅™èl… {ç³M>Æý‡… 7×11×13+13 JMýSç܅Ķæ¬MýS¢ çÜ…QÅ.
ii) 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5
= 5[7 × 6 × 1 × 4 × 3 × 2 × 1 + 1]
= 5 [1008 + 1]
= 5 × 1009 = {糫§é ]l çÜ…QÅË Ëº®…∴ 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5
JMýS ç܅Ķæ¬MýS¢ çÜ…QÅ
Ð]l*¨Ç çÜÐ]l$çÜÅË$
5. MìS…¨ ÐésìæÌZ {糆 çÜ…Qů]l$ {糫§é¯]l M>Æý‡×ê…M>Ë Ëº®…V> Æ>Ķæ$…yìl?
(çÜÐ]l$çÜÅ Ý뫧ýl¯]l)i) 3024 ii) 27300
6. n JMýS çÜçßæf çÜ…QÅV> VýSË çÜ…QÅ 4n
¡çÜ$Mø…yìl. n H ÑË$Ð]lOMðS¯é 4n çÜ…QÅçÜ$¯é² A…MðS™ø A…™èlÐ]l$Ð]l#™èl$…§ø Ìôæ§øçÜÇ^èl*yýl…yìl?(M>Æý‡×êË$ ^ðlç³µyýl… & °Æý‡*ç³×æ^ólĶæ$yýl…)
7. (17 × 11 × 2) + (17 × 11 × 5) A¯ól¨JMýS ç܅Ķæ¬MýS¢ çÜ…QÅ A° H Ñ«§ýl…V>°Æý‡*í³Ýë¢Æý‡$? ÑÐ]lÇ…^èl…yìl.(M>Æý‡×êË$ ^ðlç³µyýl… & °Æý‡*ç³×æ ^ólĶæ$yýl…)
8. Ð]l–„ýS _{™èl… ¯]l$…_ ÌZí³…_¯]l a, b, c, d˯]l$ MýS¯]l$Vö¯]l…yìl?(§ýl–ÖÅMýSÆý‡×æ & {´ë†°«§ýlÅç³Æý‡ayýl…)
A…MýS-VýS-×ìæ™èl {´ë£ýl-Ñ$MýS íܧ鮅™èl…
B«§éÆý‡…V> MýS.Ýë.VýS$; VýS.Ýë.¿ê. MýS¯]l$-Vö-¯]lyýl…
Æð‡…yýl$ Ìôæ§é A…™èl-MýS…sôæ GMýS$PÐ]l çÜ…QÅ-Ë ]l$ A…MýS-VýS-×ìæ™èl {´ë£ýl-Ñ$MýS íܧ鮅™èl…{ç³M>Æý‡… {糫§é ]l M>Æý‡-×ê…-M>Ë Ëº®…V> Æ>íÜ ]l™èlÆ>Ó™èl, A°² çÜ…QÅË {糆 {糫§é ]l M>Æý‡-×ê…-M>Ë VýSÇçÙt çœ*™éË Ëº®… MýS.Ýë.VýS$ V>, A°²çÜ…QÅË ÝëÐ]l* ]lÅ M>Æý‡-×ê…-M>Ë MýS°çÙtçœ*™éË Ëº®… VýS.Ýë.¿ê V> ç³Ç-VýS-×ìæÝ뢅.E§é: 336, 54Ë MýS.Ýë.VýS$; VýS.Ýë.¿ê ]l$MýS¯]l$Vö¯]lyýl…
336 = 24×31×71
54 = 2 × 33
336, 54Ë MýS.ÝëVýS$. = çÜ…QÅË {糆 {糫§é ]lM>Æý‡×ê…M>Ë VýSÇçÙt çœ*™éË Ëº®….
= 24 × 33 × 71
= 3024
336, 54Ë VýS.Ýë.¿ê = çÜ…QÅË ÝëÐ]l* ]lÅM>Æý‡×ê…M>Ë MýS°çÙt çœ*™éË Ëº®….
= 21 × 31 = 6
ѧéÅ {ç³Ð]l*×êË ÐéÈV> çÜÐ]l$çÜÅË$
1. MìS…¨ ç³NÆý‡~ çÜ…QÅË MýS.Ýë.VýS$; VýS.Ýë.¿ê.˯]l$ {糫§é¯]l M>Æý‡×ê…M>Ë Ëº® 糧ýl®†ÌZ
MýS¯]l$Vö¯]l…yìl? (çÜÐ]l$çÜÅ Ý뫧ýl¯]l)i) 12, 15, 21 ii) 72, 108
f. i) 12 = 2 × 2 × 3 = 22 × 31
15 = 3 × 5 21 = 3 × 7
12, 15, 21Ë MýS.Ýë.VýS$= 22 × 3 × 5 × 7 = 420
12, 15, 21 Ë VýS.Ýë.¿ê = 3
ii) 72 = 2 × 2 × 2 × 3 × 3 = 23×32
108 = 2 × 2 × 3 × 3 × 3 = 22×33
72, 108 Ë MýS.Ýë.VýS$ = 23 × 33 = 216
72, 108 Ë VýS.Ýë.¿ê = 22 × 32 = 36
2. ""Æð‡…yýl$ çÜ…QÅË MýS.Ýë.VýS$ Ðésìæ VýS.Ýë.¿ê.VýS$×ìæf….'' ÑÐ]lÇ…^èl…yìl?(M>Æý‡×êË$ ^ðlç³µyýl… & °Æý‡*ç³×æ^ólĶæ$yýl…)
f. 12, 15 A ól Æð‡…yýl$ çÜ…QÅË$ ¡çÜ$Mø…yìl.12 = 2 × 2 × 3 = 22 × 31
15 = 3 × 5
12, 15 Ë MýS.Ýë.VýS$ = 22 × 31 × 5 =60
12, 15 Ë VýS.Ýë.¿ê = 3
12, 15 Ë MýS.Ýë.VýS$; VýS.Ýë.¿ê.Ë ]l$ ç³ÇÖ-ÍõÜ¢ MýS.Ýë.VýS$ 60 A ól¨ VýS.Ýë.¿ê. 3
VýS$×ìæf…3. JMýS VýS…r 9 °Ñ$ÚëËMýS$ JMýSÝëÇ Ððl*VýS$-
™èl$…¨. Æð‡…yø¨ 12 °Ñ$ÚëËMýS$, Ð]lÊyø¨15 °Ñ$ÚëËMýS$ JMýSÝëÇ Ððl*VýS$™éƇ¬.AÐ]l±² JMóSÝëÇ Ððl*W¯]l ™èlÆ>Ó™èl †ÇW G…™èlçÜÐ]l$Ķæ$… ™èlÆ>Ó™èl Ð]l$äÏ JMóSÝëÇ Ððl*VýS$-™éƇ¬? (A¯]l$çÜ…«§é¯]l…)
f. †ÇW Ð]lÊyýl$ VýS…rË$ JMóSÝëÇ Ððl*VóS çÜÐ]l$Ķæ$…
= 9 , 12, 15Ë MýS.Ýë.VýS$.= 22 × 32 × 5
= 180 °Ñ$ÚëË$= 3 VýS…rË$
According to Human Rights Watch..
G…™èl çÜÐ]l$Ķæ$… ™èlÆ>Ó™èl Ð]l$äÏ JMóSÝëÇ Ððl*VýS$™éƇ¬?
x
3 y
5 z
5 7
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3003
1001
2
a
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b 143
c d
9 = 3 × 3 = 32
12 = 22 × 31
15 = 3 × 5
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K. Lalitha Bai
Subject Expert
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