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1) The Appointments Committee of the
Cabinet (ACC) decides appointments to
several top posts under the Government
of India. Who is the Chairman of
Appointments Committee?
1) President of India
2) Vice-President of India
3) Prime Minister of India
4) Speaker of the Lok Sabha
5) None of the above
2) The first Indian Prime Minister to visit
Israel?
1) Manmohan Singh 2) Narendra Modi
3) A.B.Vajpayee 4) Rajiv Gandhi
5) None of the above
3) Which of the following book is NOT
written by Pranab Mukherjee?
1) Congress and the Making of the Indian
Nation
2) The Dramatic Decade: The Indira
Gandhi Years
3) The Turbulent Years: 1980 - 1996
4) The Coalition Years: 1996 to 2012
5) Citizen and Society
4) Who is the new Director General of
UNESCO?
1) Irina Bokova 2) Audrey Azoulay
3) Antonio Guterres 4) Achim Steiner
5) Tedros Adhanom Ghebreyesus
5) World Food Day is observed on……..
1) 2nd October 2) 13th October
3) 14th October 4) 16th October
5) 24th October
6) M.K.Sanu (Malayalam Poet) has been
choosen for which of the following
award for the year 2017?
1) Jnanpith Award 2) Saraswati Samman
3) Vyas Samman 4) Moortidevi Award
5) Mathrubhumi Literary Award
7) The first-ever meeting of newly-consti-
tuted Economic Advisory Council to
Prime Minister (EAC-PM) was held at
NITI Aayog, in New Delhi. It was
chaired by
1) Narendra Modi 2) Rajiv Kumar
3) Bibek Debroy 4) Arvind Subramanian
5) Sanjeev Sanyal
8) Who is the winner of the 2017 Man
Booker Prize for his novel "Lincoln in
the Bardo"?
1) George Saunders (USA)
2) David Grossman (Israel)
3) Kazuo Ishiguro (Japan & Britain)
4) Colson Whitehead (USA)
5) None of the above
9) Which private sector bank has com-
mitted a financial assistance of Rs 10
crore to the Indian Armed Forces, as a
part of its Corporate Social
Responsibility initiative?
1) ICICI Bank 2) HDFC Bank
3) AXIS Bank 4) Kotak Mahindra Bank
5) None of these
10) Which of the following statements cor-
rect regarding Man Booker Prize?
1) First awarded in 1969.
2) First recipient is P.H.Newby for his
novel "Something to Answer for".
3) Arundhati Roy was awarded the 1997
Booker Prize for her novel "The God of
Small Things".
4) George Saunders won 2017 Man
Booker Prize for his novel "Lincoln in
the Bardo". 5) All of the above
11) Find the wrong pair? (Games &
Hosting Places)
1) National Games 2018 : Goa
2) Asian Games 2018 : Jakarta-Palembang
3) Commonwealth Games 2018 : Gold
Coast
4) Winter Olympics 2018 : Pyeongchang
5) FIFA World Cup : 2018 : Russia
12) Match the following?
Award Recipient
A. Jnanpith i) Shankha Ghosh
Award 2016
B. Saraswati ii) Mahabaleshwar Sail
Samman 2016
C.Vyas iii) Surinder Varma
Samman 2016
D. Moortidevi iv) MP Veerendra
2016 Kumar
A B C D
1) (iv) (iii) (ii) (i)
2) (iii) (ii) (i) (iv)
3) (i) (iii) (ii) (iv)
4) (ii) (iv) (i) (iii)
5) (i) (ii) (iii) (iv)
13) Who is the new Governor of Bihar?
1) Satya Pal Malik 2) Ram Naik
3) Kalyan Singh 4) C.Vidyasagar Rao
5) Om Prakash Kohli
14) The Head Quarters of Bandhan Bank
is in…..
1) New Delhi 2) Mumbai 3) Kolkata
4) Chennai 5) Bengaluru
15) Which of the following statements cor-
rect regarding United Nations
Educational, Scientific and Cultural
Organization (UNESCO)?
1) UNESCO formation on 16 November
1945
2) UNESCO Head quarters located in
Paris
3) Audrey Azoulay (France) is the new
Director General of UNECSO, replacing
Irina Bokova.
4) The current member states of
UNESCO is 195.
The USA and Israel plan to leave
UNESCO on 31 December 2018 over
anti-Israel bias.
5) All of the above
16) Where is the headquarters of
Federation Internationale de Football
Association (FIFA)?
1) Dubai, UAE 2) Zurich, Switzerland
3) Lausanne, Switzerland
4) Athens, Greece 5) None of the above
17) Tan Zhongyi is associated with which
of the following sport?
1) Badminton 2) Chess 3) Table Tennis
4) Golf 5) None of these
18) Which of the following statements cor-
rect regarding Index of Industrial
Production (IIP)?
1) The IIP is composite indicator that
measures short- term changes in volume
of production of basket of industrial
products during given period with respect
to chosen base period.
2) IIP is compiled and published monthly by
the Central Statistical Organisation (CSO).
3) The current base year for IIP is 2011-2012.
4) The IIP covers 407 item groups. Sector
wise these items falls into 3 categories
viz. Manufacturing (405 items), Mining
(1 items) & Electricity (1 item).
5) All of the above
19) Find the correct statement?
1) Attorney General of India is highest
law officer to the Government of India.
2) Advocate General is the highest law
officer of the State Government.
3) CAG is considered as Guardian of the
Public Purse in India.
4) UPSC is considered as watch dog of
merit system in India.
5) All of the above
20) The current member countries of Shanghai
Cooperation Organisation (SCO)?
1) 8 2) 9 3) 10 4) 11
5) None of these
21) The Central Bank of Britain?
1) Bank of England 2) Bank of Scotland
3) Bank of Wales 4) Barclays Bank
5) None of the above
22) Which of the following is NOT an
American bank?
1) JPMorgan Chase & Co.
2) Wells Fargo & Co.
3) Citigroup Inc. 4) Bank of America
5) Deutsche Bank
23) Who is Chief Minister of Kerala?
1) Vijay Rupani 2) Manohar Parrikar
3) Devendra Fadnavis
4) Vasundhara Raje 5) Pinarayi Vijayan
24) The National Sport of Afghanistan?
1) Buzkashi 2) Dandi Biyo
3) Volleyball 4) Baseball
5) Archery
25) The Largest Bank in the World by
total assets?
1) HSBC
2) Mitsubishi UFJ Financial Group
3) ICBC 4) JPMorgan Chase
5) Deutsche Bank
26) Who is Roberto Azevedo?
1) 6th Director General of WTO
2) 9th Secretary General of UNO
3) 11th Managing Director of IMF
4) 12th President of World Bank
5) None of the above
27) India ranked 100th position among 119
countries on Global Hunger Index (GHI)
2017 report released by International
Food Policy Research Institute (IFPRI).
Where is the headquarters of IFPRI?
1) Washington, D.C., USA
2) Geneva, Switzerland
3) Vienna, Austria 4) Brussels, Belgium
5) None of the above
28) Which among the following is correct
about Param Vir Chakra?
1) Highest literary award in India.
2) India's highest honour for achievement
in Sports
3) India's highest civilian award.
4) India's highest military decoration.
5) An annual award given by the Indian
government for lifetime contribution to
Indian cinema.
29) To which African countries did
President of India Ram Nath Kovind
made his first foreign trip?
1) South Africa and Nigeria
2) Zimbabwe and Niger
3) Ethiopia and Djibouti
4) Mauritius and Sudan
5) None of the above
30) Who is the winner of 2017 Pulitzer
Prize for Fiction for the novel
"Underground Railroad"?
1) Colson Whitehead
2) Kazuo Ishiguro
3) Viet Thanh Nguyen 4) Bob Dylan
5) None of the above
31) Which of the following is not a consti-
tutional body?
1) Election Commission of India
2) Finance Commission of India
3) Law Commission of India
4) National Commission for Scheduled Castes
5) National Commission for Scheduled Tribes
32) Who is Kenneth Juster?
1) USA ambassador to China
2) USA ambassador to Russia
3) USA ambassador to India
4) USA ambassador to Japan
5) None of the above
33) Which of the following is NOT a
Maharatna Company at present?
1) IOC 2) ONGC 3) BPCL 4) HPCL
5) None of the above
34) Which two countries topped the survey
of most valuable nation brand 2017?
1) USA and Russia 2) USA and China
3) Russia and China 4) China and India
5) None of the above
35) The Nobel Prizes are not presented in
the field of…
1) Literature 2) Chemistry
3) Mathematics 4) Physics
5) Medicine
1) 3
2) 2
3) 5
4) 2
5) 4
6) 5
7) 3
8) 1
9) 1
10) 5
11) 1
12) 5
13) 1
14) 3
15) 5
16) 2
17) 2
18) 5
19) 5
20) 1
21) 1
22) 5
23) 5
24) 1
25) 3
26) 1
27) 1
28) 4
29) 3
30) 1
31) 3
32) 3
33) 4
34) 2
35) 3
Answers
A.Ravi Prakash Reddy
Senior Faculty
Current Affairs & GK
FOR ALL COMPETITIVE EXAMS
World Food Day is observed on…
The tenth letter to the left of the ninth..
1. In a row of students Ashok is 4th from
the left. while Srikanth is 17th from the
right when they exchange their posi-
tions Ashok becomes 10th from the
left.How many students are there in
that row?
(a) 22 (b) 26 (c) 21 (d) 23 (e) None
2. Ramu ranked 16th from the top and
29th from the bottom among those who
have passed in an examination. Six
boys did not participate in the competi-
tion and five failed in the examination.
How many students were there in that
class ?
(a) 50 (b) 45 (c) 56 (d) 55 (e) None
(3-6) What will come in the place in the
following number series
3. 8, 2, 1, 1, 2, 8, ______
(a) 36 (b) 32 (c) 64
(d) 88 (e) None
4. 3, 14, 47, 146, ______
(a) 434 (b) 443 (c) 462
(d) 496 (e) None
5. 18, 48, 100, 180,_______
(a) 294 (b) 562 (c) 286
(d) 352 (e) None
6. 25, 125, 130, 650, 655,______
(a) 3175 (b) 3275 (c) 2865
(d) 2735 (e) None
7. If p means -, Q means þ, R means ÷
and S means + then find the value of
5 Q 4 S 60 R 12 P 8
(a) 18 (b) 12 (c) 17
(d) 24 (e) None
8. If 324 þ 150 =54, 251þ 402 =48 and
523þ246 =120 then 651 x 345 =?
(a) 122 (b) 144 (c) 152
(d) 178 (e) None
9. From the given alternatives find out
one word which can not be formed by
using the letters of the given word.
LIMITATIONS
(a) MIST (b) SLIT (c) SMELT
(d) STATION (e) None of these
10. Which will be third word if the follow-
ing words are arranged in the diction-
ary order ?
(1) Counsil (2) Coach
(3) Cough (4) Catch
(5) Camel
(a) Coach (b) Counsil
(c) Camel (d) Cough
(e) Catch
11. Arrange the following words according
to dictionary order :
1. Wound 2. Writer 3.White
4.Worst 5.Worker
(a) 3,5,4,2,1 (b) 3,4,5,1,2
(c) 3,5,4,1,2 (d) 5,4,3,2,1
(e) None of these
12. In a certain code language LITTLE is
coded as NFVQNB. In the same way
how PEBBLE be coded?
(a) RBDYNB (b) RCDXNB
(c) RBDXMB (d) RCDXMB
(e) None of these
13. In a certain code language PUBLIC is
coded as WRNDEK. In the same code
language how will LISTEN be coded ?
(a) KNUVGP (b) KNVUPG
(c) UVKNPG (d) KNPUVG
(e) None of these
(14-15)
14. Aunts, Mothers, Woman15. Brothers, Doctors, Male16. If P + Q means p is the brother of Q, P
þ Q means P is father of Q, P - Q meansP is the sister of Q then Which of thefollowing means I is neice of K?(a) KxY+Z-I (b) K+YxI-Z (c) KxY+I-Z (d) Z-IxY+K(e) None of these
17. X and Y are brothers. B is A's father. Ais mother of x. How is Y related to B?(a) Grandson (b) Grandfather (c) Grandmother (d) Granddaughter(e) None of these
18. X is brother of y. Y is wife of z. Z isbrother of w. How is x related to Z?(a) Sister-in-law (b) Son (c) Daughter(d) Brother-in-law (e) None of these
(19-20): Study the following venn diagramcarefully, then answer the following ques-tions.
19. Indian doctors who are not female arerepresented by --?(a) T (b) R (c) Q (d) U (e) None
20. Indian female doctors are representedby--?(a) R (b) V (c) S (d) T (e) None
(21-24): The following questions are based onthe folllowing alphabet:A B C D E F G H IJ K L M N O P Q RS T U V W X Y Z
21. The tenth letter to the left of the ninthletter from the right is :(a) H (b) S (c) X (d) K (e) None of these
22. If the second half of the given alphabetis written in reverse order , which of thefollowing will be the 16th letter fromthe left?(a) X (b) L (c) K (d) B (e) None
23. If the first and the second, the third andthe fourth and so on letters exchangetheir positions which letter will be theseventh from the right?(a) Y (b) T (c) Z (d) S (e) None
24. Suppose in the given alphabet the firstand the third letters exchange theirpositions and the second and fourth let-ters, fifth and seventh letters and so on,then which will be 25th letter from theright?(a) C (b) A (c) D (d) Y (e) None
(25-27) : Read the following informationcarefully and answer the questions givenbelow.(i) There are four buildings situated in arow.(ii) In these buildings four persons W, X,Y and Z live in each one separately.
(iii) Of them, there is a lawyer, a profes-sor, a manager and a musician - and theirbuildings are painted in four differentcolours - green, blue, pink and orange.(iv) Professor's building is situatedbetween green and blue.(v) W, who is not a lawyer, is the onlyneighbour of Y.(vi) Musician lives in a pink one and twoother persons live between his buildingand manager's building.(vii) Z and lawyer live in adjacent build-ing and none of these building is blue ororange.
25. Who are the neighbours of X?(a) W and Y (b) W and Z (c) Z and Y (d) X and Y(e) None of these
26. What is the profession of Z?(a) Professor (b) Lawyer (c) Manager (d) Musician(e) None of these
27. Who lives in orange colour building?(a) W -- Professor (b) X -- Professor (c) Y -- Professor (d) Z -- Professor(e) None of these
28. If the vowels of the word 'EQUIVO-CATE' are substituted by U, T, S and soon beginning from left which vowel willget substituted by R?(a) A (b) I (c) U (d) O (e) None of these
29. Introducing Suman, Nayan said, "Sheis the wife of only nephew of onlybrother of my mother ". How Suman isrelated to Nayan?(a) Data inadequate (b) Wife (c) Sister (d) Mother(e) None of these
30. Five books -- P, Q, R, S and T areplaced one above the another but notnecessarily in the same order. T isabove P and R is below Q. P is above Qand S is below R. Which of the follow-ing books is at the top?(a) R (b) Q (c) T(d) P (e) None of these
31. Jaya's position from the left in a row ofstudents is 12th and Rekha's positionfrom the right is 20th. After inter-changing their positions, Jaya becomes22nd from the left. How many studentsare there in the row?(a) 30 (b) 31 (c) 41(d) 34 (e) None of these
32. Sita ranked 8th from the top and 18thfrom the last in her class if only thosestudents are counted who passed in theexamination. However, her rank is 36thfrom the last , if all the students aretaken together. How many studentsfailed in her class?
(a) 22 (b) 16 (c) 12(d) 18 (e) None of these
33. How many such pairs of letters arethere in the word NORTHERNMOSTwhich have as many letters betweenthem in the word as in the alphabet?
(a) One (b) Two (c) Four
(d) Three (e) None34. In a certain code language ESCALATE
is written as ACSEETAL. How willESPOUSAL be written in that codelanguage?(a) OPSELASU (b) POESALSU (c) OPSALESU (d) POSESLAU(e) None
35. Punam walks 6km. towards north,turns to her left and walks 8km. againshe turns to her left and walks 6 km.How far and in which direction is shefrom the starting point?(a) 10 km, North (b) 6 km, South (c) 4 km, West (d) 8 km, West(e) None
Panditi. Meenakshipavan
Senior Faculty
Reasoning Model questions
Bank P.O Clerks
1.b2.d3.c4.b5.a6.b7.c8.b
9.c10.a11.c12.a13.b14.a15.d16.b
17.a18.d19.b20.d21.a22.a23.d24.c
25.b26.d27.a28.d29.b30.c31.c32.d
33.c34.a35.d
ANSWERS
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MENTAL ABILITY TEST (MAT)
1) 4 2) 3 3) 4 4) 3 5) 4 6) 3 7) 1 8) 2 9) 1
10) 3 11) 3 12) 3 13) 3 14) 1 15) 4 16) 3
17) 4 18) 2 19) 3 20) 3 21) 4 22) 3 23) 4
24) 1 25) 4 26) 4 27) 1 28) 3 29) 2 30) 4
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38) 4 39) 1 40) 1 41) 4 42) 2 43) 1 44) 1
45) 1 46) 1 47) 1 48) 2 49) 4 50) 4
LANGUAGE COMPREHENSIVETEST (LCT)
51) 3 52) 4 53) 1 54) 2 55) 3 56) 3 57) 2
58) 4 59) 2 60) 3 61) 1 62) 4 63) 2 64) 2
65) 3 66) 4 67) 2 68) 3 69) 1 70) 2 71) 3
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86) 1 87) 3 88) 4 89) 2 90) 3 91) 2 92) 1
93) 3 94) 4 95) 1 96) 3 97) 4 98) 2 99) 1
100) 4
APTITUDE TEST
[MATHEMATICS : 101 TO 120;
PHYSICS : 121 TO 134 ; CHEMISTRY :
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SOCIAL : 161 TO 200]
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107) 4 108) 2 109) 2 110) 1 111) 1 112) 1
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1. "¿êÆý‡™Œæ JMýS Çç³¼ÏMŠæ §ólÔ¶æ…' A¯ól ¿êÐ]l¯]l¯]l$ HA«¨MýSÆý‡×æÌZ õ³ÆöP¯é²Æý‡$?1) 53 2) 54 3) 60 4) 61
2. Æ>[çÙt糆 G°²MýSÌZÏ GÐðl$ÃÌôæÅ Kr$ ÑË$Ð]l-¯]l$ H Ñ«§ýl…V> ÌñæMìSPÝë¢Æý‡$?
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4. Æ>[çÙt糆Oò³ íÜÑÌŒæ MóSçÜ$ ò³sêtË…sôæ G°²ÆøkË Ð]l¬…§ýl$ Æ>[çÙt糆MìS çÜÐ]l*^éÆý‡…CÐéÓÍ?1) 30 ÆøkË$ 2) 60 ÆøkË$3) JMýS ÐéÆý‡… 4) 15 ÆøkË$
5. 糧ýlÑÌZ E…yýlV> Ð]l$Æý‡×ìæ…_¯]l Æð‡…yøÆ>[çÙt糆 GÐ]lÆý‡$?1) gêMìSÆŠæ çßæ$õÜÞ Œæ2) çœ{MýS$©ª Œæ AÎ AçßæçŠæ3) ±Ë… çÜ…iÐ]lÆð‡yìlz 4) Ñ.Ñ. WÇ
6. MìS…¨ ÐéÇÌZ Eç³Æ>[çÙt™èl$Ë$V>, Æ>[çÙtç³™èl$-Ë$V> ç³°^ólíܯ]l ÐéÆð‡Ð]lÆý‡$?G) Æ>gôæ…{§ýl {ç³Ýë§Šæ ¼) Æ>«§éMýS–çÙ~¯ŒæíÜ) gêMìSÆŠæ çßæ$õÜÞ¯Œæ yìl) Ñ.Ñ. WÇC) Ô¶æ…MýSÆŠæ §ýlĶæ*âŒæ Ô¶æÆý‡ÃG‹œ) BÆŠæ. Ððl…MýS{sêÐ]l$ Œæ h) ¼.yìl. gñæsìæt1) G, ¼, íÜ, yìl, G‹œ, h2) ¼, íÜ, yìl 3) ¼, íÜ, yìl, C, G‹œ4) G, ¼, íÜ, yìl
7. MìS…¨ ÐésìæÌZ çÜÇM>° A…Ô¶æ… H¨?1) gê¡Ä¶æ$ A™èlÅÐ]lçÜÆý‡ ç³Çíܦ†° ´ëÆý‡Ï-
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3) BǦMýS A™èlÅÐ]lçÜÆý‡ ç³Çíܦ†° Æð‡…yýl$ðlËÌZÏç³# {ç³™ólÅMýS Ððl$gêÈt™ø ´ëÆý‡Ï-Ððl$…sŒæ BÐðl*¨…^éÍ
4) BǦMýS A™èlÅÐ]lçÜÆý‡ ç³Çíܦ† VýSÇçÙt M>Ëç³ÇÑ$† Ð]lÊyólâ¶æ$Ï
8. f™èlç³Æý‡^èl…yìl.gê¼™é -Ia) ´ùçÜtÌŒæ ¼Ë$Ï b) PEPSU ¼Ë$Ïc) Ìê¿ê§éĶæ$MýS 糧ýlÐ]l#Ë ¼Ë$Ï
d) ¼àÆŠæÌZ Æ>[çÙt糆 ´ëË ]l †Æý‡ÝëPÆý‡…gê¼™é -IIi) Aº$ªÌŒæ MýSÌê… çÜòܵ ]lÛ Œæ ÒsZii) OgñæÌŒæ íÜ…VŠæ ´ëMðSsŒæ ÒsZiii) MðS.BÆŠæ. ¯éÆ>Ķæ$×æ Œæ çÜòܵ ]lÛ Œæ ÒsZiv) Æ>gôæ…{§ýl {ç³Ýë§Šæ °Æý‡õ³„ýS ÒsZ1) a-ii, b-iv, c-iii, d-i2) a-ii, b-i, c-iv, d-iii3) a-ii, b-iv, c-i, d-iii4) a-iii, b-ii, c-i, d-iv
9. MìS…¨ ÐésìæÌZ 35 Hâ¶æÏ MýS±çÜ Ð]lĶæ$çÜ$°º…«§ýl¯]l Ìôæ° ç³§ýlÑ?1) VýSÐ]lÆý‡²ÆŠæ2) çÜ${ï³…MøÆý‡$t {糫§é ]l ¯éÅĶæ$Ð]lÊÇ¢3) Æ>[çÙt糆 4) Eç³Æ>[çÙt糆
10. MìS…¨ ÐéÇÌZ Æ>[çÙt糆 °Ä¶æ$Ñ$…^èl° ÐéÆð‡-Ð]lÆý‡$?1) OÐðl$¯éÇsîæ MýSÑ$çÙ Œæl O ðlÆý‡Ã Œæ2) BǦMýS çÜ…çœ$… O ðlÆý‡Ã Œæ3) OòßæMøÆý‡$t ¯éÅĶæ$Ð]lÊÇ¢4) IH‹Ü, Iï³G‹Ü
11. ´ëÆý‡ÏÐðl$…sŒæMýS$ Æ>[çÙt糆, Eç³Æ>[çÙt糆G°²MýS ÑÐé§é°² ç³ÇçÙPÇ…^ól A«¨M>Æ>-°² MýS͵…_¯]l Æ>gêÅ…VýS çÜÐ]lÆý‡×æ ^èlrt…?1) 39 2) 42 3) 43 4) 44
12. MìS…¨ ÐésìæÌZ Æ>[çÙt糆 A«¨M>Æý‡… M>°¨H¨?1) çÜÐ]l$¯Œæ 2) AyýljÆŠæ²3) {´ùÆøVŠæ 4) BÇz¯ðl¯ŒæÞ
13. A…»ôæyýlPÆŠæ H A«¨MýSÆý‡×æ¯]l$ "Ð]l$–™èl ç³{™èl…'A° ÐéÅRêÅ°…^éÆý‡$?1) 356 2) 352 3) 360 4) 32
14. A™èlÅÐ]lçÜÆý‡ ç³Çíܦ† (1975-77)ÌZ E™èlµ-¯]l²OÐðl$¯]l ç³Çíܦ™èl$˯]l$ A«§ýlÅĶæ$¯]l… ^ólĶæ$-yé°MìS f¯]l™é {糿¶æ$™èlÓ… GÐ]lÇ A«§ýlÅ„ýS™èl¯]lMýSÑ$sîæ °Ä¶æ$Ñ$…_…¨?1) Æ>fÐ]l$¯é²ÆŠæ 2) gñæ.íÜ. Úë3) G Œæ.GÐŒl$. §é‹Ü 4) gñæ.G‹Ü. Ð]lÆý‡Ã
15. Æ>[çÙt糆 ´ë˯]l, BǦMýS A™èlÅÐ]lçÜÆý‡ ç³Çíܦ™èl$-˯]l$ H Ñ«§ýl…V> Eç³çÜ…çßæÇ…^èlÐ]l^èl$a?1) ´ëÆý‡ÏÐðl$…sŒæ Ý뫧éÆý‡×æ Ððl$gêÇsîæ™ø2) ´ëÆý‡ÏÐðl$…sŒæ {ç³™ólÅMýS Ððl$gêÇsîæ™ø3) ÌZMŠæçÜ¿¶æ Ý뫧éÆý‡×æ Ððl$gêÇsîæ™ø4) Æ>[çÙt糆 {ç³MýSr ]l §éÓÆ>
16. MìS…§ýl õ³ÆöP¯]l² H A…Ô>°MìS çÜ…º…«¨…_Æ>[çÙt糆.. çÜ${ï³…MøÆý‡$t çÜËà MøÆ>Æý‡$?1) MóSÆý‡â¶æ ѧéżË$Ï - 19582) »ñæÆý‡$ºÇ ĶæʰĶæ$ Œæ - 19603) Æ>Ð]l$ f ]lÿ¶æ*Ñ$ ÑÐé§ýl… - 19934) Oò³Ð]l±²
17. f™èlç³Æý‡^èl…yìl.gê¼™é -Ia) ïܵMýSÆŠæV> ç³° ólíÜ ]l Æ>[çÙt糆b) NAM òÜ{MýSrÈ & f ]lÆý‡ÌŒæc) BǦMýSÐ]l$…{†V> ç³° ólíÜ ]l Æ>[çÙt糆d) Æ>Ķæ$»êÇV> ç³° ólíÜ ]lÐéÆý‡$gê¼™é -IIi) çÜÆó‡Óç³ÍÏ Æ>«§éMýS–çÙ~ Œæii) BÆŠæ. Ððl…MýS{sêÐ]l$ Œæiii) ±Ë… çÜ…iÐ]lÆð‡yìlz iv) OgñæÌŒæ íÜ…VŠæ1) a-iii, b-iv, c-ii, d-i2) a-ii, b-i, c-iv, d-iii3) a-ii, b-iv, c-i, d-iii4) a-iii, b-ii, c-i, d-iv
18. 1987-1992 Ð]l$«§ýlÅ ç³…g껌æÌZ Æ>[çÙt糆´ë˯]lMýS$ çÜ…º…«¨…_¯]l Æ>gêÅ…VýS çÜÐ]lÆý‡×æ?1) 64 2) 673) 68 4) Oò³Ð]l±²
19. "MóS…{§ýl… B§ólÔ>˯]l$ Æ>{ÚëtË$ ´ësìæ…^èl¯]l-ç³#µyýl$ Æ>[çÙt糆 ´ë˯]l Ñ«¨…^èlÐ]l^èl$a' A°™ðlÍõ³ A«¨MýSÆý‡×æ H¨?1) 352 2) 3553) 357 4) 365
20. gê¡Ä¶æ$ A™èlÅÐ]lçÜÆý‡ ç³Çíܦ†° ´ëÆý‡ÏÐðl$…sŒæ-ÌZ° JMýS çÜ¿¶æ BÐðl*¨…_, Ð]l$Æø çÜ¿¶æ †Æý‡-çÜPÇõÜ¢ G…™èlM>Ë… AÐ]l$ÌZÏ E…r$…¨?1) Ððl…r ól Æý‡§ýlªÐ]l#™èl$…¨ 2) 30 ÆøkË$3) 60 ÆøkË$ 4) BÆý‡$ ðlËË$
21. MìS…¨ ÐésìæÌZ H ¼Ë$Ï {ç³ÐólÔ¶æò³rtyé°MìSÆ>[çÙt糆 ç³NÆ>Ó¯]l$Ð]l$† AÐ]lçÜÆý‡… Ìôæ§ýl$?1) ºyðljsŒæ2) ]l*™èl ]l Æ>{ÚëtË HÆ>µr$3) {§ýlÐ]lÅ ¼Ë$Ï 4) ç³¼ÏMŠæ ¼Ë$Ï
22. {ç³çÜ$¢™èl ÌZMŠæçÜ¿¶æÌZ B…VøÏ&C…yìlĶæ$¯]l$ÏGÐ]lÆý‡$?1) {¸ë°Þ‹Ü ¸ë…£øÐŒl$, C…{WyŠæ2) {¸ë°Þ‹Ü ¸ë…£øÐŒl$, ^éÆð‡Ï‹Ü yýlĶæ*‹Ü3) gêÆŠæj ºMðSÆŠæ, Ç èlÆŠæz õßæ 4) C…{WyŠæ Ððl$MìSÏÄñæ*yŠæ, ÌêfÆý‡‹Ü
23. MìS…¨ ÐéÇÌZ Æ>[çÙt糆 °Ä¶æ$Ñ$…^èl° ÐéÆý‡$GÐ]lÆý‡$?1) ÉìlÎÏ & ç³#§ýl$ ðlaÇ Ð]l¬QÅÐ]l$…{™èl$Ë$2) ™é™éPÍMýS ïܵMýSÆŠæ3) GïÜÞ, GïÜt MýSÑ$çÙ ]lÏ O ðlÆý‡Ã ]l$Ï4) ´ëÅ ]lÌŒæ ïܵMýSÆŠæÞ
24. Æ>[çÙt糆 ™öËW…ç³#¯]lMýS$ çÜ…º…«¨…_ MìS…¨ÐésìæÌZ çÜÇM>°¨ H¨?1) ´ëÆý‡ÏÐðl$…sŒæ AÆý‡® ¯éÅĶæ*« M>Æý‡…2) °Ä¶æ*Ð]l$MýS çÜ¿¶æ$ÅË$ ´ëÌŸY…sêÆý‡$3) Æð‡…yýl$ ðlËË$ Ð]l¬…§ýl$V> Æ>[çÙt糆MìS
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25. Æ>[çÙtç³™èl$ËMýS$ çÜ…º…«¨…_ MìS…¨ ÐésìæÌZçÜÇM>° f™èl H¨?1) Æð‡…yø ÌñæMìSP…ç³# §éÓÆ> G°²MýSƇ¬ ]l
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c) A™èlÅÐ]lçÜÆý‡ A« M>Æ>Ë$d) çÜ${ï³…MøÆý‡$t çÜËà MøÆý‡yýl…gê¼™é -IIi) IÆ>Ï…yŠæ ii) fÆý‡Ã±iii) MðS¯]lyé iv) AÐðl$ÇM>1) a-iii, b-iv, c-ii, d-i2) a-ii, b-i, c-iv, d-iii3) a-i, b-iv, c-ii, d-iii4) a-iii, b-ii, c-i, d-iv
27. Æ>[çÙt糆 gêÈ ^ólõÜ BÇz¯ðl¯ŒæÞ (BÇtMýSÌŒæ&123 {ç³M>Æý‡…) M>Ëç³ÇÑ$†?1) BÆý‡$ ÐéÆ>Ë$ 2) 60 ÆøkË$3) BÆý‡$ ðlËË$ 4) 80 ÆøkË$
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30. H {´ë…™éO¯ðl²¯é òÙyýl*ÅÌŒæ {´ë…™èl…V>{ç³MýSsìæ…^ól A«¨M>Æý‡… GÐ]lÇMìS E…¨?1) {糫§é¯]lÐ]l$…{† 2) ´ëÆý‡ÏÐðl$…sŒæ3) òÙyýl*ÅÌŒæ ™ðlVýSË MýSÑ$çÙ Œæ4) Æ>[çÙt糆
31. Eç³Æ>[çÙt糆 Æ>fÅçÜ¿¶æ O^ðlÆý‡Ã¯ŒæV> Ð]lÅÐ]lçßæ-ÇÝë¢Æý‡$. D A…Ô>°² H §ólÔ¶æ Æ>gêÅ…VýS…¯]l$…_ ïÜÓMýSÇ…^éÆý‡$?1) AÐðl$ÇM> 2) MðS¯]lyé3) ïÜÓyýl¯Œæ 4) {¸ë¯ŒæÞ
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33. MìS…¨ ÐésìæÌZ Eç³Æ>[çÙt糆 AÆý‡á™èl M>°¨?1) MýS±çÜ Ð]lĶæ$çÜ$ 35 Hâ¶æ$Ï2) 20+20 G°²MýSË VýS×æ… çÜ¿¶æ$ÅË Ð]l$§ýlª™èl$3) Æ>fÅçÜ¿¶æ çÜ¿¶æ$Åyìl AÆý‡á™èlË$4) ¿êÆý‡¡Ä¶æ$ çÜçßæf ´ûÆý‡çÜ™èlÓ…
34. Eç³Æ>[çÙt糆 G°²MýSMýS$ ç܅Ķæ¬MýS¢ çÜÐ]l*-ÐólÔ¶æ… AÐ]lçÜÆý‡… Ìôæ§ýl° ™ðlÍõ³ Æ>gêÅ…VýSçÜÐ]lÆý‡×æ H¨?1) 7 2) 9 3) 11 4) 13
35. MìS…¨ ÐéÇÌZ Æ>i¯éÐ]l* ^ólíܯ]l Eç³-Æ>[çÙt糆 GÐ]lÆý‡$?1) Ñ.Ñ. WÇ 2) sìæ. MýS–çÙ~M>…™Œæ3) ¼.yìl. gñæsìæt 4) íßæ§ýlĶæ$™èl$ÌêÏ
36. Æ>[çÙt糆, Eç³Æ>[çÙt糆 G°²MýS˯]l$ HçÜ…Ð]l™èlÞÆý‡…ÌZ ^ólç³sìæt¯]l f¯é¿ê ÌñæMýSPËB«§éÆý‡…V> °Æý‡ÓíßæçÜ$¢¯é²Æý‡$?1) 1971 2) 1981
3) 1991 4) 200137. Eç³Æ>[çÙt糆 ™öËW…ç³#¯]lMýS$ çÜ…º…«¨…_
MìS…¨ ÐésìæÌZ çÜÇM>° A…Ô¶æ…?1) Æ>fÅçÜ¿¶æÌZ ¼Ð]l Ð]l…™èl$ çÜ¿¶æ$ÅË
Ð]l$§ýlª™èl$™ø {ç³ÐólÔ¶æò³sêtÍ2) Æð‡…yýl$ ðlËË Ð]l¬…§ýl$ Eç³Æ>[çÙt糆MìS
¯øsîæ‹Ü CÐéÓÍ3) Eç³Æ>[çÙt糆 Æ>fÅçÜ¿¶æMýS$ A«§ýlÅ„ýS™èl
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38. Eç³Æ>[çÙt糆 糧ýlÑ Rêä AƇ¬™ól ™é™éPÍMýSEç³Æ>[çÙt糆V> GÐ]lÆý‡$ Ð]lÅÐ]lçßæÇÝë¢Æý‡$?1) Æ>fÅçÜ¿¶æ yìlç³NÅsîæ O ðlÆý‡Ã Œæ2) ïܵMýSÆŠæ3) çÜ${ï³…MøÆý‡$t {糫§é ]l ¯éÅĶæ$Ð]lÊÇ¢4) Æ>gêÅ…VýS… {ç³™éÅÐ]l*²Ä¶æ*°²
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Ðól™èl¯]l… G…™èl?1) Ìôæ§ýl$ 2) Æý‡*. 1,00,0003) ïܵMýSÆŠæ™ø çÜÐ]l* ]l…4) Æý‡*. 1,20,000
40. MìS…¨ ÐéÇÌZ çÜ${ï³…MøÆý‡$t ¯éÅĶæ$Ð]lÊÆý‡$¢-Ë$V> ç³°^ólíÜ, Eç³Æ>[çÙt糆 糧ýlÑ ^ólç³sìæt¯]lÐéÆð‡Ð]lÆý‡$?1) h.G‹Ü. ´ë¤MŠæ, íßæ§ýlĶæ$™èl$ÌêÏ2) h.G‹Ü. ´ë¤MŠæ, ¼.yìl. gñæsìæt3) BÆŠæ.G‹Ü. ´ë¤MŠæ, íßæ§ýlĶæ$™èl$ÌêÏ4) íßæ§ýlĶæ$™èl$ÌêÏ, ¼.yìl. gñæsìæt
41. Æ>[çÙt糆 G°²MýSÌZÏ ´ëÌŸY¯]lMýS$…yé Eç³-Æ>[çÙt糆 G°²MýSÌZÏ ´ëÌŸY¯ólÐéÆý‡$?1) Æ>[çÙt Ñ«§é ]lçÜ¿¶æMýS$ G°²OMðS ]l çÜ¿¶æ$ÅË$2) ÌZMŠæçÜ¿¶æMýS$ G°²OMðS ]l çÜ¿¶æ$ÅË$ 3) Æ>fÅçÜ¿¶æMýS$ G°²OMðS ]l çÜ¿¶æ$ÅË$ 4) ´ëÆý‡ÏÐðl$…sŒæMýS$ °Ä¶æ$Ñ$™èl$OÌñæ ]l çÜ¿¶æ$ÅË$
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AMøtºÆŠæ l 31 l 201714 ѧýlÅ
MODEL QUESTIONS
Directions (Q.No. 1 - 5): Readeach sentence to find out whetherthere is any grammatical mistake/error in it. The error, if any, will bein one part of the sentence. Markthe number of that part with erroras your answer. If there is 'Noerror', mark (5) as your answer.1. It's not just poor but also middle
class people (1)/ who have beencaught (2)/ in the vice-like gripof (3)/ usurious money lenders.(4)/ No error (5)
2. Prime Minister said that Indiaalways (1)/ vouched for worldpeace, unity and harmony (2)/and its armed forces havecontributed in this direction (3)/through UN missions in theglobe. (4)/ No error (5)
3. India has rejected offer fromPakistan (1)/ for talks (2)/ ontransit trade (3)/ to Afghanistan.(4)/ No error (5)
4. Many members of the Parliamenthad deplored government's move(1)/ to go for cashless transaction(2)/ saying it would be a failure(3)/ in a country where illiteracystill persists. (4)/ No error (5)
5. World's largest carmaker (1)/ isspending billions of Euros (2)/ toreposition itself by focusing onelectrification (3)/ of its mass-market and luxury brands. (4)/No error (5)
Directions: (Q.No. 6 - 10) Whi-ch of the phrases (1), (2), (3), and(4) given below each sentence sho-uld replace the phrase underlined inthe sentence to make it gramma-tically correct? If there is no errormark (5) No correction required asyour answer.6. We all felt so tired after the first
hour of walking but our guidetold us we had to pull out if wewanted to make the inn bynightfall.1) Push on 2) Pull together3) Get down 4) Come off5) No correction required
7. My sister adopted a white bigbeautiful terrier.1) Terrier beautiful white big2) Beautiful big white terrier3) Big beautiful white terrier4) Big white beautiful terrier5) No correction required
8. They are asked to complete thiswork upto Sunday.1) up to 2) By
3) within 4) until5) No correction required
9. They are working as usually.1) as usual 2) usually3) usual 4) usually as5) No correction required
10. A group of commuters has askthe authorities to act against theticketless travelers.1) have asked 2) have ask3) has asked4) has been asked5) No correction required
Directions (Q.No. 11-15): Rear-range the following six sentences(A), (B), (C), (D), (E) and (F) in aproper sequence to form a mean-ingful paragraph and then answerthe questions given below.A) Bankruptcies have become a way
of life for the older carriers in theU.S. aviation industry, everymajor one having to reorganizein recent years.
B) That means the upstarts haven'tjust uprooted the big players, buthave supplanted them to someextent.
C) However, it's no longer evenaccurate to use the term "large-carrier" in reference to the legacyairlines.
D) When airlines became subject tocompetition, the industry necess-arily underwent transition.
E) And yes, it's true that large-carrier losses have more than off-set newer-carrier profits in recentyears.
F) With Southwest and JetBlueamong the five biggest airlines inthe United States.
11. What is the FIRST sentence afterrearrangement?1) A 2) B 3) C 4) D 5) F
12. What is the SECOND sentenceafter rearrangement?1) A 2) B 3) C 4) D 5) F
13. What is the THIRD sentenceafter rearrangement?1) A 2) B 3) D 4) F 5) E
14. What is the FOURTH sentenceafter rearrangement?1) A 2) B 3) C 4) D 5) E
15. What is the LAST sentence afterrearrangement?1) A 2) B 3) C 4) D 5) E
Directions (Q.No. 16 - 20): Eachquestion below has a blank/ two bla-nks, each blank indicating that som-ething has been omitted. Choose theword/ set of words from the five opt-ions for each blank that best fits themeaning of the sentence as a whole.16. He was a very ____ person. He
acted very _____.1) sensless, sensible2) sensibly, senseless
3) sensible, senselessly4) sensible, sensibly5) senselessly, senseless
17. Fashion is different from ____,or rather is a particular ____ of it.1) custom, species2) trade, variety3) style, typical4) notion, form 5) trend, trend
18. Four colleagues ___ their effortsduring lunch-hour to solve thecrossword in the daily ____.1) put, magazine2) made, tabloid3) pooled, paper4) shared, pamphlet5) united, article
19. An audit ____ the financial scamin the corporation.1) displayed 2) announced3) propagated 4) unearthed5) propelled
20. Several bands were ____ to ___at the weeklong musical festival.1) scheduled, perform2) supposed, produce3) believed, act4) thought, operate5) considered, execute
Directions (Q.No. 21-25) Readthe following passage carefully andanswer the questions given below it.Certain words have been printed inbold to help you locate them whileanswering some of the questions.
From endearing words like'Abba' and 'Anna' to Indian delicacieslike 'gulab jamun' and 'vada' can nowbe found in the Oxford EnglishDictionary (OED). As per the latestlist of inclusions, 70 new Indianwords from Telugu, Urdu, Tamil,Hindi and Gujarati languages havebeen added to the dictionary. Severalmost-commonly used words in Indialike 'jugaad', 'dadagiri', 'achcha','bapu' and 'surya namaskar' are nowpart of the Oxford dictionary, theOED said in a statement. Many of thewords describe food and relation-ships, such as 'anna' (elder brother),'abba' (father), 'gulab jamun', 'mirchmasala', 'keema', 'funda' and'chamcha'. Oftenly used terms like'timepass', 'natak' and 'chup' alsohave their meanings in the dictionarynow. The September 2017 updateadds to the 900 items already
covered by the dictionary and "iden-tified as distinctive to Indian Eng-lish". "Indian speech etiquette featu-res a complex system of kinshipterms and terms of address, in whichage, gender, status, and familyrelationships are marked by a highlyspecific vocabulary with no directequivalents in English," said DanicaSalazar, OED World English Editor.The words were added to thedictionary as Indians have "a highlyspecific vocabulary with no directequivalents in English," the OEDsaid. The four centuries that theEnglish were present in India haveleft an indelible mark on thelanguage, Ms. Salazar said. It is clearthat the shared history betweenBritain and India has left behind alegacy of loanwords and other lexi-cal innovations that have greatlyenriched the English word stock, shesaid. The 70 words newly added tothe OED reflect not only the historyof the country, but also the many anddiverse cultural and linguistic influe-nces which have shaped and changedthe English language in India, shesaid. The OED publishes four upd-ates a year in March, June, Sept-ember and December respectively.21. The passage speaks about:
1) Indian Languages2) Direct Equivalents3) Specific vocabulary4) New Inclusions5) Publishers
22. Which of the following is true asper the passage?a) It is difficult to have direct
equivalents in English formany Indian words.
b) The Oxford English Dictio-nary has found many equival-ents which are newly includedin the dictionary.
1) Only a 2) Only b3) Both a & b4) Neither a nor b5) Either a or b
23. The antonym of indelible is:1) Obstinate 2) Bolshie3) Mulish 4) Flexible5) Persistent
24. The synonym of legacy is:1) Bequest 2) Forerunner3) Descendant 4) Progeny5) Heir
25. The synonym of etiquette is:1) Property 2) Estate3) Propriety 4) Decadence5) Profligacy
Directions (Q.No. 26-35): In thefollowing passage there are blanks,each of which has been numbered.These numbers are printed belowthe passage and against each, fivewords/ phrases are suggested, one
of which fits the blank appro-priately. Find out the appropriateword/ phrase in each case and markyour answer.
Catalonia's regional parliament____ (26) independence from Spain____ (27) Friday in a disputed votethat is now ____ (28) to be declaredillegal by Spain's constitutionalcourt. In Barcelona, crowds ofindependence supporters were ____(29) on downtown streets, shouting"Liberty" in the Catalan languageand ____ (30) traditional Catalansongs. The crisis has split Cataloniaand caused deep ____ (31) aroundSpain national flags now hang from____ (32) balconies in the capital inan expression of unity. It has ____(33) prompted a flight of businessfrom the wealthy northeastern regionand alarmed European leaders, ____(34) fear the crisis could fanseparatist sentiment around thecontinent. Catalonia is one of Spain'smost prosperous ____ (35) andalready has a high degree ofautonomy. But it has a litany ofhistoric grievances, exacerbatedduring the 1939-1975 Francodictatorship, when its culture andpolitics were suppressed.26. 1) pushed 2) forced
3) declared 4) required5) pressed
27. 1) on 2) in3) from 4) under5) going
28. 1) almost 2) likely3) roughly 4) about5) exactly
29. 1) pitching 2) growing3) pumping 4) pledging5) swelling
30. 1) singing 2) sang 3) sung4) sings 5) sing
31. 1) offend 2) cross3) resentment 4) crevice5) distance
32. 1) most 2) much3) mere 4) many5) meager
33. 1) beside 2) typical3) because 4) but5) also
34. 1) who 2) which 3) whom4) where 5) that
35. 1) area 2) province3) territory 4) regions5) zone
KEY1) 1 2) 4 3) 1 4) 2 5) 16) 1 7) 2 8) 2 9) 1 10) 3
11) 4 12) 1 13) 5 14) 3 15) 216) 4 17) 1 18) 3 19) 4 20) 121) 4 22) 1 23) 4 24) 1 25) 326) 3 27) 1 28) 2 29) 5 30) 131) 3 32) 4 33) 5 34) 1 35) 4
Prime Minister said that India always..K. Lalitha Bai
Subject Expert
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07 31, 2017- ntbhadradri.comntnews.com
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08 31, 2017- ntbhadradri.comntnews.com
6 ´’çí∫∞¡¢√®ºç 31 ÅéÓd•®º’ 2017v
◆ ûÌL ûÁ©’í∫’ ®√´÷ߪ’ùç? – ®Ωçí∫Ø√ü∑¿ ®√´÷ߪ’ùç (Cy°æ 鬴uç)
◆ ûÌL ûÁ©’í∫’ ¨¡ûªéπç? – ´[≥ƒCµ°æ¨¡ûªéπç ◆ ûÌL ûÁ©’í∫’ ÖüΔ£æ«®Ωù 鬴uç? – •Ææ¢ÓüΔ£æ«®Ωùç ◆ ûÌL ûÁ©’í∫’ ®Ωí∫úø? – •Ææ´ ®Ωí∫úø ◆ ûÌL ûÁ©’í∫’ çüÓví∫çü∑¿ç? – éπNïØ√v¨¡ßª’ç ◆ ûÌL ûÁ©’í∫’ çüÓví∫çü∑¿¢Á’i† éπNïØ√v¨¡ßª’熒 ®Ω*ç* †C? – ´’Lxߪ’ ͮ
◆ûÁ©’í∫’™ °æü¿u (îªç°æ‹) ®Ω÷°æç™ ¢Á©Æœ† ûÌL®√´÷ߪ’ù 鬴uç? – ¶µ«Ææ\®Ω ®√´÷ߪ’ùç ◆ûÁ©’í∫’™ ´÷®Ω_ °æ€®√ù v°ævéÀߪ’†èπ◊ Çü¿’uúø’ á´®Ω’?
– ´÷®Ω†◆ ûÌL ûÁ©’í∫’ ïçô éπ´€©’ á´®Ω’? – íÓ†•’üΔmÈ®úÕfèπ◊´÷®Ω’™„j† é¬îªÈ®úÕf, (*†) N®∏Ω©È®úÕf ◆é¬îªÈ®úÕf, (*†) N®∏Ω©È®úÕf© ®Ω?
– Öûªh®Ω ®√´÷ߪ’ùç (Cy°æü¿ 鬴uç) ◆ûÁ©’í∫’™ ûÌL ´îªØÁjéπ ®Ω©’ îËÆœ† v°æü∑¿´’ ÆæçéîΩhØ√î√®Ω’uúø’? – Xéπç®∏Ω éπ[≠æg´÷î√®Ω’u©’ ◆ >†´©x¶µº’úø’ ÆæçÆæ\[ûªç™ ®Ω*ç*† ví∫çü∑¿ç?
– ´’£æ…O®Ω≤ƒyN’ ≤Úhvûªç◆ °æç°æúÕ G®Ω’ü¿’? – éπNû√í∫’ù«®Ωg´ ◆ éπ†oúø ¶µ«≠æ™ ÇCéπNí¬, ®Ωûªovûªßª’ç™ Çü¿’uúø’í¬, éπNû√í∫’ù«®Ωg´ G®Ω’ü¿’í∫© °æç°æúø’ á´®Ω’?– ûÁ©’í∫’¢√úø’ ◆ °æç°æéπN ßÁ·éπ\ Ææ´÷Cµ áéπ\úø ÖçC? – ¶üµ¿Ø˛™ ◆ éπçü¿ç ®√Æœ† ¢√úË ... ÅE v°æÆœCm? – éπN ◆ éπçü¿ °æü¿u ®Ω ûÁ©’í∫’™ ¢Ë®· Ææç´ûªq®√©èπ◊ ´·çüËà v§ƒçûªç™ v§ƒ®Ω綵º´’®·çC?– ûÁ©çí¬ù v§ƒçûªç™◆ §ƒ¨»aûª’u©’ ûÁ©’í∫’†’ ᙫ éÃJhçî√®Ω’?
– Éö«Lߪ’Ø˛ Ç°∂ˇ C ÑÆˇd ◆ Åïçûª ¶µ«≠æ ņí¬? – Åa©ûÓ Åçûª´’ßË’u ¶µ«≠æ,
◆ á†o´ ¨¡û√•lç †’ç* ûÁ©’í∫’¶µ«≠æ v°æï© ´u´£æ…®Ω ¶µ«≠æí¬ Ö†oô’x î√Jvûªéπ ≤ƒé~¬u©’Ø√o®·?
– véÃ.¨¡.äéπô´ ¨¡û√•lç ◆ ÇØ√úø’ ûÁ©’í∫’ü˨»Eo °æJ§ƒLç*† ®√ï´ç¨»©’ v§ƒéπ[ûª, ÆæçÆæ\[ûª ¶µ«≠橆’ ®√ﶵ«≠æ (ÅCµé¬®Ω ¶µ«≠æ)©’í¬ Çü¿Jçîªúøç ´©x á†o´ ¨¡û√•lç ´®Ωèπ◊ ûÁ©’í∫’™v°æûËuéπ 鬴u ®Ω ï®Ω’í∫™‰ü¿’?
– véÃ.¨¡.10´ ¨¡û√•lç ´®Ωèπ◊ ◆ ûÁ©’í∫’ L°œ™ Ø√í∫•’ ņo °æü¿ç? – 1´¨¡û√¶«lEéÀ îÁçC† Å´’®√´’A Ææ÷n°æç°j éπE°œÆæ’hçC. ◆ £j«ü¿®√¶«ü¿’ éÃÆæ®Ωí∫’ôd™ •ßª’©púÕ† N≠æflgèπ◊çúÕ†’©¨»Ææ†ç™ Ö†o Ææp≠æd¢Á’i† ûÁ©’í∫’ ´÷ô (Ææ´÷Ææ
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◆ N≠æflgèπ◊çúÕ† ®√V ´÷üµ¿´´®Ωt ÆæçÆæ\[ûª ®Ω? – ïØ√v¨¡ßª’ çüÓN*a¥Ah
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◆ ¨»ûª¢√£æ«†’© ûÌL ®√ïüµΔE? – v§ƒéπ[ûªç ◆ ¨»ûª¢√£æ«†’© é¬©ç™ ü˨¡¶µ«≠æí¬ ´u´£æ…®Ωç™ Ö†o ¶µ«≠æ àC ? – ûÁ©’í∫’
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– ûÁ©çí¬ù v§ƒçûªç™
◆ í∫’ù«úµø’uúø’ á´J Ç≤ƒn†ç™ ÖçúË¢√úø’?– £æ…©’E Ç≤ƒn†ç◆ í∫’ù«úµø’uE ®Ω*†? – •[£æ«ûª\ü∑¿ ◆•[£æ«ûª\ü∑¿ à ¶µ«≥ƒ ®Ω? – °j¨»< v§ƒéπ[ûª ¶µ«≠æ ◆ í∫’ù«úµø’uúø’ à v§ƒçû√EéÀ îÁçɆ ¢√úø† É°æJ¨üµ¿èπ◊©’¶µ«NÆæ’hØ√o®Ω’? – ¢Á’ü¿é˙ >™«x éÌçú≈°æ€®Ωç ◆ Öûªh®Ω ®√´’îªJvûª™ íÓüΔ´J †C ´®Ωg† Öçúøôç ûÓ§ƒô’, ¶µº´¶µº÷A Ø√ô鬩’ v°æüµ¿Jzç°æ•úÕ† é¬∞¡ v°œßª’
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◆ ûÁ©’í∫’ ´îª† ®ΩîªØ√ ¨ÎjL véπ´’°æJù«´÷EéÀ, ≤ƒ£œ«ûªu¶µ«≥ƒ °æJùAéÀ ≤ƒéπ~uçí¬ Ö†o í∫ü¿u ¨»Ææ†ç?
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◆ ¢ËçU §ƒ©èπ◊™„j† ûª÷®Ω’p î√∞¡Ÿèπ◊u©èπ◊ Ææ´’é¬M†’©’í¬°æPa´’ î√∞¡Ÿèπ◊u©’ ¢ËöÀE ®√ïüµΔ†’©’í¬ îËÆæ’éÌE°æJ§ƒLçî√®Ω’? – éπKç†í∫®˝, Eñ«´÷¶«ü˛
>™«x©™E ¢Ë´·©¢√úø, í∫çí¬üµ¿®Ω ¶üµ¿Ø˛©’ ◆ È®çúø´ ÅJÍéÆæJ Ç≤ƒn† éπN? – °æç°æúø’ ◆°æç°æúø’ éπ†oúøç™ ®Ω*ç*† 鬢√u©’ àN? – ÇC°æ€®√ù (ñ„j†°æ€®√ùç) Nvéπ´÷®Ω’b† Nïߪ’ç (°æç°æ ¶µ«®Ωûªç)
◆ éπ†oúø ¶µ«≠æ™ ÇCéπN? – °æç°æúø’ ◆ Ççvüµ¿’úø’ ®Ω*ç*† ûÌL çüÓví∫çü∑¿ç?
– ïØ√v¨¡ßª’ çüÓN*a¥Ah ◆ ü¿éÀ~ù«°æü∑Ë °æü¿t°æ€®Ωç Ø√´’†í∫®Ωç ÅE ûª† E¢√Ææç í∫’Jç* îÁ°ærèπ◊†o v°æÆœü¿m ÆæçÆæ\[ûª Ø√ôéπ éπ®Ωh?
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– °æç°æúø’ (°æç°æ, §Ò†o, ®Ω†o) ◆ éπçü¿ °æü¿u ®Ω ûÁ©çí¬ù« v§ƒçûªç™ v§ƒ®Ω綵º¢Á’i†ü¿† ö«EéÀ ÇüµΔ®Ωç? – °æç°æéπN ≤Úü¿®Ω’úÁj†>†´©x¶µº’úø’ ¢Ë®·ç*† èπ◊®√\u© ¶Ô´’t©í∫’ôd (éπKç†í∫®˝>™«x) ¨»Ææ †ç (véÃ.¨¡. 946)™ ´‚úø’ éπçü¿°æüΔu©’Ø√o®·. ◆ èπ◊®√\u© ¶Ô´’t©í∫’ôd ¨»Ææ†ç à ¶µ«≠晢Ëߪ’•úÕçC? – °æç°æ\[û√çvüµ¿ éπ†oúø ¶µ«≠æ™x ◆ èπ◊®√\u© ¶Ô´’tôí∫’ôd ¨»Ææ†ç à ¶µ«≠晢Ëߪ’•úÕçC? – ÆæçÆæ\[û√çvüµ¿ éπ†oúø ¶µ«≠æ™x ◆ èπ◊®√\u© ¶Ô´’t©í∫’ôd ¨»ÆæØ√EéÀ Ö†o ´u´£æ…Jéπç?
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◆ ≤Ú´’üË´Ææ÷J ¢Ë´·©¢√úø™ á´JéÀ ´‚úø’ûª®√©’ ◆ ñ„j†í∫’®Ω’´€í¬ ÖØ√oúø’? – ¢Ë´·©¢√úø î√∞¡Ÿèπ◊u©èπ◊ ◆ ≤Ú´’üË´Ææ÷J ÆæçÆæ\[ûª ®Ω©’? –éπü∑ΔÆæJû√qí∫®Ωç,ߪ’¨¡Æœh©éπ îªç°æ€´€ (´’£æ…O®Ω’E îªJvûª) FA ¢√é¬u´’[ûªç ◆ v•£æ«tÆæ÷vû√©èπ◊ ÆæçÆæ\[ûªç™ Xéπ®Ω ¶µ«≠æuçv¢√Æœ†C? – X°æA °æçúÕûª’úø’ ◆ ë„j®Ω´ûªçvûªç ÅØË ÆæçÆæ\[ûª ûªçvûª ¨»vÆæhç ®Ω*ç*†C?
– ´’çü∑Δ† ¶µ„j®Ω´€úø’ ◆ ´’çü∑Δ† ¶µ„j®Ω´€úø’ à v§ƒçû√EéÀ îÁçC†¢√úø’?
– §ƒ©´‚®Ω’>™«x Å©ç°æ‹®Ω’ ¢√Ææh´€uúø’ ◆ ´®Ωçí∫™¸ >™«x ï†í¬´’ û√©÷鬙 í∫÷úø÷®Ω’™¨»Ææ†ç ¢Ë®·ç*† ¢√®Ω’? – NJߪ÷© ´’©x¶µº÷°æA ◆ ûÁ©’í∫’™ ©Gµç*† ûÌL ´[ûªh °æü¿u ¨»Ææ†ç? – NJߪ÷© ´’©x¶µº÷°æA ¢Ë®·ç*† 鬴’≤ƒE ¨»Ææ†ç ◆ NJߪ÷© ´’©x¶µº÷°æA ¢Ë®·ç*† ¨»Ææ†ç™E °æüΔu©’?–´‚úø’ îªç°æéπ´÷© °æüΔu©’, È®çúø’ Öûªp©´÷© °æüΔu©’ ◆ ††oߪ’ ¶µ«®Ωûª ®Ωèπ◊ ´·çü¿’ ®√ï®√ï †Í®çvü¿’úø’¢Ë®·ç*† ¨»Ææ†ç? – éÓ®Ω’N’Lx ¨»Ææ†ç (véÃ.¨¡.1022)
◆ éÓ®Ω’N’Lx ¨»Ææ†ç™ – 24 §ƒüΔ©™ °æØÁoçúø’ Cy°æü¿
í∫A ®Ωí∫úø©’ éπEp≤ƒh®· ◆ ††oߪ’ Ææ£æ…üµΔu®·? – Ø√®√ߪ’ù¶µºô’d ◆ Ø√®√ߪ’ù ¶µºô’d à v§ƒçûªç ¢√úøE ÉöôL °æJ¨üµ¿†©’ ¢Á©xúÕÆæ’hØ√o®·? – ¢Ë´·©¢√úø’ î√∞¡Ÿèπ◊u© ´ü¿lØËÖçúÕ ¶«Ø˛q¢√úø (¢√ùÆæ¢√öÀ) †’ç* ¢ÁRx†ô’x ◆ Ø√®√ߪ’ù ¶µºô’d °æç°æ ¶µ«®Ωû√Eo °æJîªßª’ç îËÆœ¶µ«®Ωûª ®Ω™ á´JéÀ Åçúøí¬ EL*Ø√úø’? – ††oߪ’èπ◊ ◆ ††oߪ’¶µºô’d ¶µ«®Ωûª ®Ωèπ◊ °æ‹®Ωy¢Ë’ 鬴u ®Ω Öçü¿E,Ñ éπNû√ ®Ω ûÌ©’ûª à v§ƒçûªç™ é̆≤ƒ Tçü¿EîªJvûª °æJ¨üµ¿èπ◊© ÅGµv§ƒßª’ç?– ûÁ©çí¬ù v§ƒçûªç™
◆ ûª÷®Ω’p î√∞¡Ÿéπu®√V ®√ï®√ï†Í®çvü¿’EéÀ, °æPa´’ î√∞¡Ÿèπ◊u©ûÓ ÆæçCµ èπ◊CJa ®√ï®√V †’çúÕ Ø√®√ߪ’ù ¶µºô’d§ÒçC† Åví∫£æ…®Ωç àC? – †çü¿ç°æ‹úÕ Åví∫£æ…®Ωç ◆ ÅØ√®√ߪ’ù ¶µºô’d†’ í∫’Jç* ûÁLÊ° ¨»Ææ†ç?
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– ´’Lxé¬®Ω’b† °æçúÕû√®√üµ¿’uúø’ ◆ ´’Lxé¬®Ω’b† °æçúÕû√®√üµ¿’uE ûªLxü¿çvúø’™„´®Ω’? – ü¿é~¬®√´’Hµ¢Ë’¨¡y®Ω °æ€®Ó£œ«ûª’úÁj† Hµ´’† °æçúÕûª’úø’, íı®√ç• ◆ ´’Lxé¬®Ω’b† °æçúÕû√®√üµ¿’uE í∫’®Ω’´€? – éÓöÀ°æLx
Ç®√üµ¿uüË´€úø’ ◆ ´’Lxé¬®Ω’b† °æçúÕû√®√üµ¿’uE éπ[ûª’©’? – P´ûªûªhy≤ƒ®Ω´· (véÃ.¨¡.1160) XTJ ´’Lxé¬®Ω’b† ¨¡ûªéπ´· ◆ P´ûªûªhy≤ƒ®Ω´·™ áEo °æüΔu©’ ´÷vûª¢Ë’ ©¶µºu´’
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– ߪ’ߪ÷A îªJvûª ◆ ߪ’ߪ÷A îªJvûª†’ ÇçvDµéπJç*†¢√®Ω’?
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No. of Questions: 100 Maximum Marks: 100 Time: 90 Mnts.
54. 6 cm, 2 cm ¢√u≤ƒ-®√l¥-©’í¬ Ö†o È®çúø’ ´%ûªhÍéçvüΔ©’ 10 cm ü¿÷®Ωç™ ÖØ√o®·. ¢√öÀ Ö´’túÕÆæp®Ωz A®Ωu-vÍíê §Òúø´¤?
ï: 6 cm
55. 5 cm ¢√u≤ƒ®Ωl¥ç Ö†o ´%ûªhç™ 6 cm ñ«u PQ. P,Q © ´ü¿l Ö†o Ææp®Ωz ͮ꩒ T ´ü¿l êçúÕç--èπ◊çõ‰TP §Òúø´¤?
20ï: ⎯ cm3- -
56. 9 cm ¢√u≤ƒ®Ωl¥ç Ö†o äéπ ´%ûªhç™ AB = AC = 6cm Ö†o Ææ´’-Cy-¶«£æ› vA¶μº’-ñ«Eo Åçûª-Jx"ÊÆh ÇvA¶μº’ï ¢Áj »©uç?
ï: 8 √⎯2 cm2
57. îª-véÃ-ߪ’ îªûª’-®Ω’s¥-ïç-™E áü¿’-È®-ü¿’®Ω’ éÓù«©’?-ï: Ææç°æ‹-®Ωéπç
58. vA¶μº’-ïç™E ¶μº’ñ«©’ a = 13 cm, b =14 cm, c= 15 cm. a, b ¶μº’ñ«©’ äéπ ´%û√h-EéÀ Ææp®Ωz-Í®-ê©’Å´¤ûª÷, Ç ´%ûªh Íéçvü¿ç ´‚úÓ ¶μº’ïç°j Ö†o-ôx-®·ûË Ñ ´%ûªhç ô’d-éÌ-©ûª?
ï: ÆæÈ®j-† ï-¢√-•’ -™‰-ü¿’--59. ABCD îªûª’-®Ω-vÆæç™ éπ®√g© êçúø† Gçü¿’´¤ 'O'
´ü¿l 'OP' ÅØË Ææhç¶μ«Eo E©¶„ö«d®Ω’. OP, AB ©§Òúø-´¤©’ ´®Ω-Ææí¬ h, b ©’ ņ’-éÓçúÕ. äéπ-¢Ë∞¡∠ABC = 60° Å®·ûË h, b © ´’üμ¿u Ö†oÆæç•çüμ¿ç?
ï: 3h2 = 2b2
60. éÀçC *vûªç™ AB = 8 cm, PE = 3 cm Å®·ûË
61. äéπ íÓ∞¡ç ¢√u≤ƒ-®√l¥Eo È®öÀdç°æ¤ îËÊÆh Ç íÓ∞¡ °∂æ’†-°æ-J-´÷ùç áEo È®ô’x °®Ω’-í∫’-ûª’çC?
ï: 462. äéπ ¨¡çèπ◊´¤ ¶μº÷¢√u-≤ƒ-®√l¥Eo 20% °ç*, üΔE àô-
¢√©’ áûª’h È®öÀdç°æ¤ îËÆœ-†-ôx-®·ûË, üΔE ´véπ-ûª©¢Áj¨»©uç °J-T† ¨»ûªç áçûª?
ï: 140%
63. 'a' cm Åçîª’í¬ Ö†o Ææ´’-°∂æ’†ç †’ç* îÁéÀ\† ÅA°ü¿l ¨¡çèπ◊´¤ °∂æ’†-°æ-J-´÷ùç?
πa3ï: ⎯
12
64. äéπ Åôd §Òúø´¤ 11 cm, ¢Áúø©’p 2 cm. üΔE †’ç*0.5 cm ¢√uÆæç Ö†o ´%û√h-é¬®Ω Åôd-©†’ áEoç-öÀEéπAh-Jç-îª-´îª’a?
ï: 88
65. éÀçC *vûªç™ ¶«£æ«u ´%û√h© ¢√u≤ƒ®√l¥©’ 'r'Å®·ûË Åçûª®Ω ´%ûªh ¢√u≤ƒ®Ωl¥ç?
66. äéπ í∫’©x Å®Ωl¥-íÓ∞¡ §ƒvûª Åçûª®Ω, ¶«£æ«u ¢√u≤ƒ©’´®Ω’-Ææí¬ 42 cm, 45.5 cm. Ç §ƒvûª ¶«£æ«u ´véπ-ûª© ¢Áj¨»©uç?
ï: 1925 cm2
67. 7 cm ¢√u≤ƒ®Ωl¥ç, 14 cm áûª’h Ö†o véπ´’ ´%ûªhÆæ÷h°æç †’ç* ÅA °ü¿l íÓ∞«Eo îÁé¬\®Ω’. Ç íÓ∞¡°∂æ’† °æJ-´÷ùç?
ï: 1437 cm3
68. äéπ Ææ´’-¶«£æ› vA¶μº’ïç ¢Áj »©uç, Ææçë«u-°æ-®Ωçí¬üΔE ô’d-éÌ-©-ûªèπ◊ Ææ´÷†ç. 2 ü¿¨»ç¨¡ ≤ƒnØ√©èπ◊ÆæJ-îË-Æœ† ûª®√yûª ¶μº’ïç §Òúø ¤?
ï: 6.93 -ߪ‚-E-ô’x69. äéπ ¨¡çé¬-é¬®Ω í∫’ú≈-®Ω°æ¤ ¶μº÷ ¢Áj »©uç, °æéπ\ûª© ¢Áj »-
™«u© E≠æpAh 40 : 41. üΔE áûª’h 18 m Å®·ûËüΔE™ ÖçúË í¬L °∂æ’†-°æ-J-´÷ùç π °æüΔ™x...?
ï: 38,400 π cu.m
70. 11 cm × 4 cm éÌ©-ûª©’ Ö†o äéπ D®Ω`îªûª’-®Ω-v≤ƒ-é¬-®Ω°æ¤ é¬T-û√Eo 4 cm áûª’h†o Ææ÷h°æçí¬ îª’ö«d®Ω’.Ñ Ææ÷h°æ °∂æ’†-°æ-J-´÷ùç?
ï: 38.5 cm3
71. ÂÆj†uç äéπ í∫’ú≈-®√Eo 3 m áûª’h, 8 m ¶μº÷¢√u-ÆæçûÓà®√pô’ î˨»®Ω’. v°æA äéπ\-JéÀ 3.5 m3 í¬L Å´-Ææ-®Ω-¢Á’iûË, Ç í∫’ú≈-®Ωç™ Ææ’´÷-®Ω’í¬ áçûª ´’çC ´’†’-≠æfl©’ èπÿ®Óa-´îª’a? ï: 14
72. È®çúø’ àéπ-Íéçvü¿ ´%û√h© ô’d-éÌ-©-ûª-©ûÓ Ç´-Jç-*†Ææn© ¢Áj¨»©uç 423.5 sq.cm, ¶«£æ«u ´%ûªhç ô’d-éÌ-©ûª 132 cm Å®·ûË ™°æL ´%ûªh ¢√u≤ƒ®Ωl¥ç?
ï: 17.5 cm
73. °∂æ’†ç ™°æ© ÆæJí¬_ ÆæJ-§ÚßË’ äéπ íÓ∞«Eo Öç*ûË,¢√öÀ °∂æ’†-°æ-J-´÷-ù«© E≠æpAh...
ï: 6 : π74. 4 cm ¢√u≤ƒ®Ωl¥ç Ö†o ´%ûªhç™ 30° éÓùçûÓ UÆœ†
ÂÆé¬d®Ω’ ¢Áj¨»©uç?ï: 8.5 cm2
75. D®Ω`-îª-ûª’-®ΩvÆæç §Òúø-´¤†’ 10% °ç*, üΔE ¢Áúø-©’p†’ 12% ûªT_ÊÆh, üΔE ¢Áj¨»-©uç-™E ´÷®Ω’p¨»ûªç...?
ï: 3.2%
76. 4.2 ÂÆç.O’ ¢√u≤ƒ®Ωl¥ç Ö†o äéπ ™£æ« íÓ∞«Eo éπJ-Tç*, 6 cm ¢√u≤ƒ®Ωl¥ç Ö†o Ææ÷h°æçí¬ §Úûª§Ú¨»®Ω’. Ç Ææ÷h°æç áûª’h?
ï: 2.744 cm
77. NüΔu-®Ω’n© Ææ´‚£æ«ç, äéπ v°æüË-¨¡ç™ 20 í∫%£æ…-©†’
ÆæÍ®y îËÊÆh ´*a† Ñ éÀçC §˘†”-°æ¤†u °æöÀd-éπ™èπ◊ô’ç• Ææ¶μº’u© Ææçêu Éî√a®Ω’. Å®·ûË Ç É*a†Ææ´÷-î√®Ωç ¶«£æ›-∞¡éπç?
ï: 3.286
78. Ñ éÀçC °æöÀd-éπ™ ∑f = 200, Åçéπ ´’üμ¿u´’ç =73 Å®·ûË f1, f2 §˘†”-°æ¤Ø√u© N©’-´©’ ´®Ω’-Ææí¬...
ï: 76, 38
79. 100 °æJ-Q-©-†© Åçéπ ´’üμ¿u´’ç 40 í¬ Éî√a®Ω’.é¬F, °æJ-Q-©-†™ 53 •ü¿’©’ 83 BÆæ’-èπ◊-Ø√o-®ΩE ûÁL-ÆœçC. Å®·ûË ÆæÈ®j† Åçéπ ´’üμ¿u´’ç?
ï: 39.7
80. 30, 34, 35, 36, 37, 38, 39, 40 ÅØË Ææ´÷-î√-®Ωç™ 35 †’ ûÌ©-TÊÆh, ´’üμ¿u-í∫-ûªç™ °®Ω’-í∫’-ü¿©?
ï: 0.5
81. äéπ Ææ´÷-î√-®Ωç™ ¶«£æ›-∞¡éπç, ´’üμ¿u-í∫-û√© ¶μ‰ü¿ç24 Å®·ûË ´’üμ¿uí∫ûªç, Åçéπ ´’üμ¿u- ÷© ¶μ‰ü¿ç...?
ï: 12
82. äéπ v¨ÏùÀ ¶«£æ›-∞¡éπç üΔE Åçéπ ´’üμ¿u´’ç éπçõ‰ 12áèπ◊\´. Å®·ûË Ç ¶«£æ›-∞¡éπç üΔE ´’üμ¿u-í∫ûªçéπçõ‰ áçûª áèπ◊\-´í¬ Öçô’çC?
ï: 883. äéπ °æK-éπ~™ 40 ´’çCéÀ ´*a† ´÷®Ω’\©’ éÀçC
Nüμ¿çí¬ ÖØ√o®·.
N¶μ«-ï† Åçéπ ´’üμ¿u´’ç 7.2 Å®·ûË ´®Ω’-Ææí¬ a, b©N©’- ©’ ï: 1, 4
84. 15 + 25 + .... + 995 ™ äéπôx ≤ƒn†ç™E ÅçÈé?ï: 0
85. 2200 − 2192. 31 + 2n ÅØËC Ææç°æ‹®Ωg ´®Ω_çÅ®·ûË, n = ï: 198
86. a, b ©’ à¢ÁjØ√ È®çúø’ ¶‰Æœ v°æüμΔ† Ææçêu©’ Å®·ûË(a2 − b2)
ï: Ææç-ߪ·éπh Ææç-êu 87. È®çúø’ Ææçêu© éπ.≤ƒ.í∫’., í∫.≤ƒ.¶μ«. ¢Á·ûªhç 1260
¢√öÀ éπ.≤ƒ.í∫’., ¢√öÀ í∫.≤ƒ.¶μ«. éπçõ‰ 900 áèπ◊\´Å®·ûË Ç È®çúø’ Ææçêu© ©•l¥ç?
ï: 194400
88. (4x− y) ÅØËC 3 í∫’ùÀïç Å®·ûË,
4x2 + 7xy − 2y2 †’ ¶μ«TçîË Ææçêu?ï: 9
89. éÀçC-¢√-öÀ™ 99 ûÓ E¨Ïz-≠æçí¬ ¶μ«Tç-îª-í∫© Ææçêu?ï: 114345
90. È®çúø’ Ææçêu© E≠æpAh 3 : 7, Ç È®çúø’ Ææçêu-©èπ◊6 èπÿúÕûË ´îËa Ææçêu© E≠æpAh 5 : 9 Å®·ûË, ÇÈ®çúø’ Ææçêu©’? ï: 9, 21
91. 9 §∂ƒu†x Å´’téπç Í®ô’ 11 §∂ƒx†u é̆o-¢Á-©èπ◊ Ææ´÷-†-¢Á’iûË ™«¶μº/ †≠æd ¨»ûªç áçûª?
2ï: 22 ⎯ % ™«¶μºç9
92. äéπ ߪ‚Eö¸ °æK-éπ~™ 25 v°æ¨¡o©’ ÖØ√o®·.Åçü¿’™ v°æA v°æ¨¡oèπ◊ ÆæÈ®j† Ææ´÷-üμΔ-Ø√-EéÀ 4´÷®Ω’\©’, ûª°æ¤p Ææ´÷-üμΔ-Ø√-©èπ◊ −2 ´÷®Ω’\©’Éî√a®Ω’. ´’´’ûª ÅEo v°æ¨¡o-©èπ◊ Ææ´÷-üμΔ†ç®√ÆœçC. é¬F 5 Ææ´÷-üμΔ-Ø√©’ ´÷vûª¢Ë’ ÆæÈ®j-†N.Å®·ûË ´’´’-ûªéÀ ´*a† ¢Á·ûªhç ´÷®Ω’\-™„Eo?
ï: −20
93. n = 10800 Å®·ûË 4m + 2 ®Ω÷°æç™ ÖçúË ¶μ«ï-鬩 Ææçêu ï: 12
94. É*a† N¨¡y-Ææ-N’A, ξ = {x : 1 ≤ x ≤ 12 ´’Jߪ·x °æ‹®Ωg Ææçêu }, P = {x : x v°æüμΔ† Ææçêu }, Q ={x : x ÅØËC 4 í∫’ùÀïç), R = {2, 3, 8, 9} Å®·ûË(Q∪R)' ∩ P ÅØË ÆæN’-A-™E ´‚©-鬩’:
ï: {5, 7, 11}1 2 3 4
95. { ⎯ , ⎯ , ⎯ , ⎯ } ÅØË üΔEo 2 3 4 5
ÆæN’A E®√tù ®Ω÷°æç™ ®√ߪ’çúÕ.nï: [ ⎯⎯⎯ ⏐ 1 ≤ n ≤ 4 n ∈ z ]n + 1
96. 1 †’ç* 100 ´®Ωèπ◊ Ö†o Ææ£æ«ï Ææçêu© ¢Á·ûªhç?ï: 5050
97. äéπ Ææçêu x †’ 245, 1029 ©ûÓ ¶μ«TÊÆh ©Gμçî˨Ï≠æç 5 Å®·ûË x í∫J≠æe N©’´? ï: 16
98. Öü¿ßª’ç †úø-éπ™ ´·í∫’_®Ω’ ´uèπ◊h©’ éπLÆœ †úø’-Ææ’h-Ø√o®Ω’. ¢√J Åúø’-í∫’© éÌ©-ûª©’ ´®Ω’-Ææí¬ 80 cm,85 cm, 90 cm Å®·ûË ¢√®Ω’ ¢Á·ûªhç Åúø’-í∫’©ü¿÷®√Eo °æ‹Jh îËߪ’-ú≈-EéÀ v°æA äéπ\®Ω’ †úø-¢√-Lq†éπE≠æe ü¿÷®Ωç ï: 122 m 40 cm
99. È®çúø’ Åéπ-®Ω-ùÃߪ’ Ææçêu© éπ.≤ƒ.í∫’., í∫.≤ƒ.-¶μ«.©’Ææ´÷†ç Å®·ûË, Ç Ææçêu©’
ï: Ææ ÷†ç100. 210, 55 © í∫.≤ƒ.¶μ«. ®Ω÷°æç 210 × 5 + 55y
Å®·ûË y = ï: −19
Ê°°æ®˝ – 2 -v°æ-¨¡o°æ--vûªç, -ï-¢√-•’-©’
Family size 1−3 3−5 5−7 7−9 9−11
No.of families 7 8 2 2 1
Marks 5 6 7 8 9
No.of students 6 a 16 13 b
x 0 50 100 150 200 250
f 46 f1 f2 25 10 5
ï: (√ ⎯2 − 1) r
éà ®Ω÷-§Òç-Cç-*-†-¢√®Ω’:Ƒ£«-î˝.®√-üμΔéπ%-≠æg & -A®Ω’°æ-A -vQ-v°æ-ïc Ææd-úŒÆæ-J\-™¸ -E°æ¤--ù’-©’
1. ¶«uçèπ◊©’ È®jûª’-©èπ◊, *†o ¢√u§ƒ-®Ω’-©èπ◊ ÅçCçîË®Ω’ù«©†’ à ®Ωéπçí¬ °æJ-í∫-ùÀ-≤ƒh®Ω’?1) ¢√ùÀïu ®Ω’ù«©’ 2) ™«¶μ«-Ê°-éπ~-™‰E ®Ω’ù«©’3) v§ƒüμΔ-†uûª ®Ωçí∫ ®Ω’ù«©’ 4) ¨¡⁄†u ´úŒf-Í®ô’ ®Ω’ù«©’
2. ¶μ«®Ωûª Jï®Ω’y ¶«uçèπ◊ 2017, Çí∫-Ææ’d™ v°æéπ-öÀç-*†vü¿´u, °æ®Ω-°æA ÆæO’éπ~ v°æ鬮Ωç È®§Ú-Í®-ô’†’ áçûª¨»ûªçí¬ E®Ωg-®·ç-*çC?1) 6% 2) 6.25% 3) 6.5% 4) 6.75%
3. 2016 ÂÆ°dç-•®Ω’™ Eߪ’N’ûª’™„j† ÖJbû˝ °æõ‰™¸¶μ«®Ωûª Jï®Ω’y ¶«uçèπ◊èπ◊ áØÓo í∫´-®Ωo®˝?1) 21 2) 22 3) 24 4) 26
4. ¶μ«®Ω-ûª-üË- ¡ç™ Ææ÷n© üËQߪ’ §Òü¿’-°æ¤-†èπ◊ Åûªu-Cμéπ¢√ö«†’ Ææ´’-èπÿ-®Ω’-Ææ’h†o ®Ωçí∫ç àC?1) í∫%£æ« ®Ωçí∫ç 2) w°j¢Ëô’ ®Ωçí∫ç3) v°æ¶μº’ûªy ®Ωçí∫ç 4) w°j¢Ëô’ 鬮Ìp-Í®ô’ ®Ωçí∫ç
5. éÀçC¢√-öÀ™ '¶μ«®Ωû˝ E®√tù˝ ßÁ÷™ îË®ΩaEví¬O’ù ®Ωçí∫ç àC?1) FöÀ§ƒ®Ω’-ü¿© 2) Nü¿u 3) û√í∫’F®Ω’ 4) õ„L-§∂ÚØ˛
6. ¶μ«®Ωûª °æçîª- ®Ω{ v°æù«-R-éπ© ÅA ´·êu-¢Á’i† ©éπ~uçàC?1) Qv°∂æ’ §ƒJ-v¨»-N’-éÃ-éπ-®Ωù 2) ñ«B-ߪ÷üΔߪ’ ´%Cl¥3) ÖüÓuí∫éπ©p† 4) ≤ƒç°∂œ’éπØ√uߪ’çûÓ èπÿúÕ† ´%Cl¥
7. ´u -≤ƒßª’ üμ¿®Ω© éπN’-≠æØ˛, ¶μ«®Ωûª Ç£æ…®Ω ÆæçÆæn©†’à Ææç´-ûªq-®Ωç™ ≤ƒn°œç-î√®Ω’?1) 1960 2) 1963 3) 1965 4) 1966
8. ¶μ«®Ω-ûª-üË- ¡ç™ áEo £«é¬d®Ωx ¶μº÷N’ Ö†o È®jûª’-©†’'Ö§ƒçûª È®jûª’©’— Åçö«®Ω’?1) 1 2) 2 3) 3 4) 4
9. éÀçC °æü∑¿-é¬-©†’ ÅN v§ƒ®Ωç-Gμç-*† Ææç´ûªq-®√©ÇüμΔ-®Ωçí¬ Ç®Ó-£æ«ù véπ´’ç™ Å´’-®ΩaçúÕ. á) DPAP -G) JRY Æœ) IRDP -úÕ) MNP
1) á, -- -úÕ, Æœ, G 2) á, úÕ, G, Æœ3) - - - -úÕ, Æœ, G,- á 4) úÕ, á, Æœ, G
10. 2016 †´ç--•®Ω’ 15†, Íéçvü¿ v°æ¶μº’ûªyç íÓüμ¿’-´’èπ◊éÀyçö«-™¸èπ◊ áçûª ´’ü¿lûª’ üμ¿®Ω v°æéπ-öÀç-*çC?
1) ®Ω÷. 1525 2) ®Ω÷. 1550
3) ®Ω÷. 1600 4) ®Ω÷. 1625
11. 'úÕ>-ô™¸ ÉçúÕߪ÷— 鬮Ωu-véπ -´÷- -Eo á°æ¤púø’v§ƒ®ΩçGμçî√®Ω’?
1) 2015, àv°œ™¸ 1 2) 2015, WØ˛ 1
3) 2015, V™„j 1 4) 2016, V™„j 1
12. ñ«B-ߪ÷üΔ-ߪ÷Eo ™„éÀ\ç-îª-ú≈-EéÀ v°æÆæ’hûª ÇüμΔ®ΩÆæç´ûªq®Ωç àC?
1) 2009 -10 2) 2010 - 11
3) 2011 - 12 4) 2012 - 13
13. éÀçC¢√-öÀ™ v°æA Ææç´-ûªq®Ωç úø÷®·çí˚ G>-ØÁÆˇE¢Ë-C-éπ†’ v°æ-JçîË ÆæçÆæn àC?
1) IMF 2) WTO 3) UNDP 4) IBRD
14. ¶μ«®Ωûª ®√≠æZ-°æA ®√ñ«uç-í∫ç-™E à ÅCμ-éπ-®Ωùç éÀçü¿v°æA Å®·-ü¿’ Ææç-´-ûªq®√-©èπ◊ äéπ≤ƒJ ÇJnéπÆæç°∂æ÷Eo à®√pô’ îË≤ƒh®Ω’?
1) 280 2) 282 3) 285 4) 290
1-3 2-1 3-3
4-1 5-2 6-4
7-3 8-2 9-1
10-4 11-3 12-2
13-4 14-1
-ï-¢√-•’-©’
ï: 5 cm
®Ω-·-ûª – Ƒ£«-î˝. -¢Áçéπ-ôÈ®-úÕf, -ÅÆœÂÆdç-ö¸ -v§Ò°∂Ææ®˝
-Éç-úÕ-ߪ’-Ø˛ -áé¬-†-O’
-Ö-§ƒç-ûª È®j-ûª’-©’ -Å-E -á-´-J-†ç-ö«®Ω’...?
AE =
÷ªÙÞœüŒî¦ô¢Ù 31 ÍÚÁdñô¢ª 2017 Ðû¦è[ª 13
-öÃ-áÆˇ°‘-áÆˇÆ‘ -§∂ƒÈ®Æˇd -H-ö¸ -Ç°∂‘Ææ®˝
No. of Questions: 100 Maximum Marks: 100 Time: 90 Mnts.
-ûÁ-©çí¬-ù ÊÆd-ö¸ °æ-Gxé˙ Ææ-KyÆˇ éπ-N’-≠æ-Ø˛(-öÃÀ-áÆˇ°‘-áÆˇÆ‘) -ÅéÓd-•®Ω’ 29-† -E®Ωy£œ«ç-*-† §∂ƒÈ®Æˇd -H-ö¸ -Ç-°∂‘Ææ®˝ Ê°°æ®˝ – 2 -ï-†®Ω-™¸
-´÷u-ü∑¿-¢Á’-öÀé˙q (-A Æœ-KÆˇ) -v°æ-¨¡o°æ-v-û√-EéÀ -E°æ¤-ù’-©’®Ω÷-§Òç-Cç-*-† Ææ-´÷-üμΔ-Ø√-©’ -ÉÆæ’h-Ø√oç.
-É-N Íé-´-©ç -Å-¶μºu®Ω’n-© Å-´í¬£æ«-† éÓÆæç -´÷-vûª--¢Ë’. éπ-N’-≠æ-Ø˛ -N-úø’-ü¿-© -îËÊÆ-
'é× --ØË -Åç-A-´’çí¬ °æ-Jí∫-ùÀç-î√-L.
a − b 11. log ( ⎯⎯⎯ ) = ⎯ (log a + log b) Å®·ûË
2 2a2 + b2 =
ï: 6ab
2. äéπ ´Ææ’h-´¤†’ ®√V ®Ω÷.12,500 ©èπ◊ éÌE üΔEo20% ™«¶μºçûÓ Å´÷túø’. ®√V ÅN’t† ™«¶μºç™®Ω÷.1,250 °æ†’o éπúÕûË, Åûª-EéÀ ©Gμç-*† ™«¶μºç,™«¶μº ¨»ûªç?
ï: ®Ω÷.1,250, 10%
3. n äéπ Ææ£æ«ï Ææçêu Å®·ûË 92n − 42n †’ á©x-°æ¤púø÷¶μ«TçîË Ææçêu©’:
ï: 5, 13
4. f(x) = 2x2 + 5x + k ÅØË •£æ›-°æ-CéÀ α, β ©’ È®çúø’´‚™«©’ ÅßË’uôô’x
21α2 + β2 + αβ = ⎯ Å®·ûË k =
4
ï: 25. 2115 − 1, 225 − 1 © í∫.≤ƒ.¶μ«
ï: 316. 2x3 − 3x2 + x ÅØË •£æ›-°æ-CéÀ äéπ Ææçêu†’ èπÿúÕûË
©GμçîË •£æ›-°æ-CE x − 2 ûÓ ¶μ«Tçîªí¬ ©Gμçî˨Ï≠æç 3 Å®·ûË Ç Ææçêu
ï: −3
7. °æüÓ-ûª-®Ω-í∫A NüΔu®Ω’n™x ´÷uü∑¿- -¢Á’-öÀé˙q éÀyñ ¸™§ƒ™Ô_†o NüΔu-®Ω’n© Ææçêu 10. Åçü¿’™ ¶«©’®Ω éπçõ‰¶«L-éπ© Ææçêu 4 ÅCμéπç. Å®·ûË éÀyñ¸™ §ƒ™Ô_†o¶«©’®Ω Ææçêu, ¶«L-éπ© Ææçêu ´®Ω’-Ææí¬...
ï: 3, 78. 3(2u + v) = 7uv, 3(u + 3v) = 11uv © ≤ƒüμ¿†
ï: u = 1, v = 3/2
9. f(x) = x3 − 12x2 + 39x − 28 ÅØË •£æ›-°æ-CéÀ Ö†o¨¡⁄Ø√u©’ Åçéπ v¨ÏùÀ™ Ö†o-ôx-®·ûË ÅN
ï: 1, 4, 7
√⎯⎯⎯
√⎯⎯⎯
3a + 2b + 3a − 2b10. x = ⎯⎯⎯⎯⎯⎯⎯ Å®·ûË
√⎯⎯⎯
√⎯⎯⎯
3a + 2b − 3a − 2bbx2 − 3ax + b =
ï: 011. E¨¡a-©-¢Á’i† FöÀ™ 9 km/h ¢Ëí∫çûÓ ¢Á÷ö«®Ω’ ¶ô’
12 km éÀçC v°æ¢√-£æ…-EéÀ ¢ÁRx AJT ®√´-ú≈-EéÀ¢Á·ûªhç 3 í∫çô©’ °æúø’ûª’çC. Å®·ûË v°æ¢√£æ«¢Ëí∫ç?
ï: 3 km/ hour
12. f(x) = ax2 + bx + c ÅØË •£æ›-°æC Í®ë« *vûªç
ï: a < 0, b < 0 & c > 0
13. äé𠧃®∏Ω-¨»-©-™E 8 ´ ûª®Ω-í∫-A™ Ö†o Åçü¿®Ω’NüΔu-®Ω’n©’ v°æüμΔ-†-´’çvA Ææ£æ…ߪ’ ECμéÀ É*a† N®√-∞«©’ ®Ω÷.2,401. v°æA NüΔuJn ûª®Ω-í∫-A-™E NüΔu-®Ω’n© Ææçêuèπ◊ Ææ´÷-†çí¬ ®Ω÷§ƒ-ߪ’-©†’ N®√-∞¡çí¬ÉÊÆh, Ç ûª®Ω-í∫-A-™E NüΔu®Ω’n© Ææçêu?
ï: 49
14. sin (50° + θ) − cos (40° − θ) + tan 1°. tan10°. tan 20°. tan 70°. tan 80°. tan 89°
ï: 115. 6 cm ¢√u≤ƒ®Ωl¥ç Ö†o ´%ûªhç™ Ææ ’-¶«£æ› vA¶μº’-
ñ«Eo Åçûª-Jx"ÊÆh Ç vA¶μº’ïç ¶μº’ïç éÌ©ûª?ï: 6√
⎯3 cm
16. ΔOPQ ™ P ´ü¿l ©ç•-éÓùç ÅßË’u-ôô’x OP = 7cm, OQ − PQ = 1 cm Å®·ûË cos Q N©’´?
24ï: ⎯25
17. sec A(1 − sin A) (sec A + tan A) =
ï: 118. Ñ éÀçC Í®ë«-*-vûªç-™E Ææ´÷î√®√Eo Ö°æ-ßÁ÷-Tç*
y N©’-´†’ éπ†’éÓ\çúÕ.
ï: 17.32 cm
19. cos 1°. cos 2°. cos 3°.cos 4°. cos 179°......cos 180° N©’´
ï: 020. Ñ éÀçC °æöÀd-éπ™ tan 53° 38' N©’´?
ï: 1.3580
21. cos θ = 0.4457 Å®·ûË Ñ éÀçC °æöÀdéπ üΔy®√ θN©’´
ï: 63° 32'
√⎯⎯⎯⎯⎯⎯⎯⎯
√⎯⎯⎯⎯⎯⎯⎯
√⎯⎯⎯⎯⎯
22. 2 + 2 + 2 + 2 cos 8θ N©’´ï: 2 cos θ
23. tan A + sin A = m, tan A − sin A = n Å®·ûËm2 − n2 =
ï: 4√⎯mn
24. ûª’§ƒ†’èπ◊ äéπ îÁô’d NJ-T-§Ú-®·çC. îÁô’d °j¶μ«í∫ç30° éÓùç îËÆæ÷h ØË©†’ û√èπ◊ûÓçC. îÁô’d¶μº÷¶μ«í∫ç †’ç*, îÁô’d °j¶μ«í∫ç ØË©†’ û√ÍéîÓô’èπ◊ Ö†o ü¿÷®Ωç 8 m. îÁô’d áûª’h áçûª?
ï: 8√⎯3 m
25. äéπ Ææ®ΩÆæ’q °æéπ\† Ö†o 25 m áûªh®·† Gçü¿’´¤†’ç* Æœn®Ωçí¬ Ö†o äéπ ¢Ë’°∂æ’ç 30° -Ü®Ωl¥ y éÓ-ù«-Eo, Ææ®ΩÆæ’q-™ -üΔ-E -v°æ-A-Gç-•ç 60° E´’o éÓùçîËÆæ’h†o-ôx-®·ûË Ææ®ΩÆæ’q †’ç* ¢Ë’°∂æ’ç áûª’h?
ï: 50 m
26. äéπ †C°j Ö†o ´çûÁ-†Â°j äéπ Gçü¿’´¤ †’ç*†CéÀ É®Ω’-¢Áj-°æ¤™« äúø’f© E´’o éÓù«©’ ´®Ω’-Ææí¬30°, 40°. ´çûÁ† äúø’fèπ◊ 3 m áûª’h™ Öçõ‰, †C¢Áúø©’p? ï: 3 (√
⎯3 + 1) m
cos 38° cosec 52°27. √
⎯3 ( ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ ) N©’´
tan 15° tan 60° tan 75°
ï: 128. A + B = 90° Å®·ûË
√⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯tan A tan B + tan A cot B
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ =sin A.sec B
ï: sec A
29. 1.2 m -§Òúø- ¤†o äé𠶫Léπ ¶μº÷N’éÀ Ææ ÷ç-ûª-®Ωçí¬ 88.2 m áûª’h™ äéπ í¬L •’úøí∫
v°æߪ÷ùÀçîªú≈Eo îª÷ÆœçC. Ç¢Á’ éπ†’© †’ç* 60°Ü®Ωl¥ y éÓù«Eo îË≤ÚhçC. éÌçûªÊÆ°æ-öÀéÀ Ü®Ωl¥ y éÓùç30° ©èπ◊ ûªT_çC. Ñ ´’üμ¿u Ææ´’-ߪ’ç-™ í¬L•’úøí∫ áçûª ü¿÷®Ωç v°æߪ÷-ùÀç-*çC?
ï: 58 √⎯3 m
30. äéπ ´%ûªh ¢√u≤ƒ®Ωl¥ç 15 cm. AB ñ«u, Íéçvü¿ç ´ü¿l131° éÓùç îË≤Úhçõ‰ C †’ç* AB éÀ Ö†o ü¿÷®Ωç
ï: 6.22 cm
31. ¢Á’iüΔ-†ç™ äéπ Ææhç¶μ«Eo E©’´¤í¬ E©¶„ö«d®Ω’. ÇÆæhç¶μºç §ƒü¿ç †’ç* 20 m ü¿÷®Ωç™E äéπGçü¿’´¤ †’ç* Ç Ææhç¶μºç Pê-®√-EéÀ Ö†o Ü®Ωl¥ yéÓùç 60° Å®·ûË, Ç Ææhç¶μºç áûª’h?
ï: 20√⎯3 m
32. È®çúø’ Ææ´÷ç-ûª®Ω Í®ê-©†’ A®Ωu-vÍíê êçúÕÊÆh, ÇA®Ωu-vÍí-êèπ◊ äÍé ¢Áj°æ¤ Ö†o Åçûª®Ω éÓù«© v°æA ïûª
ï: Ææç°æ‹-®Ωéπç33. A(2, 1), B(5, −8) ©†’ éπLÊ° Í®ë«-êç-ú≈Eo
APGçü¿’´¤ P, ⎯ = 1/3 ÅßË’u-ôô’x N¶μº->-Ææ’hçC.
AB
2x − y + k = 0, Í®ê°j P Gçü¿’´¤ Ö†o-ôx-®·ûË k=
ï: ÆæÈ®j† Ææ ÷-üμΔ†ç ™‰ü¿’34. ∠A í∫’®Ω’-éÓ-ùçí¬ Ö†o ΔABC ™ Ö†oA AD. AD
= 10 cm. äéπ-¢Ë∞¡ BD = 10 cm, CD = 10√⎯3 cm
Å®·ûË ∠A =
ï: 105°
35. Ñ éÀçC *vûªç™ ABC ©ç•-éÓù vA¶μº’-ïç™ AQ®Ω{ç ´ü¿l ©ç• éÓùç, Ö†oA AD.BD = 3.6 cm,CD = 6.4 cm Å®·ûË Ö†oA AD =
ï: 4.8 cm
36. Δ ABC ™ ∠B = 90°, AB = 12 cm, AC = 15cm. ∠AED = 90°, DE = 3 cm ÅßË’u-ôô’x AB,AC ©Â°j ´®Ω’-Ææí¬ D, E ©’ Gçü¿’- ¤©’ Å®·ûËΔADE ¢Áj¨»©uç
ï: 6 cm2
37. Ñ éÀçC Í®ë«-*vûªç üΔy®√ x, y, z N©’- ©’éπ†’éÓ\çúÕ.
ï: 125°, 125°, 35°
38. Ææ ’-¶«£æ› vA¶μº’ïç ABC ™ BC ¶μº’ïç°j BD =1/3 BC ÅßË’uôô’x D äéπ Gçü¿’´¤ Å®·ûË AB2
=
ï: 9/7 AD2
39. Ñ éÀçC *vûªç™ AD ⊥ BC, AD ⊥ EF. ∠EAB= ∠FAC, AB = 2x + 3, AC = 3y + 1, BD = x,DC = y + 1 Å®·ûË x, y © N©’- ©’...?
40. Ñ éÀçC *vûªç™ XY ÅØË Í®ë«-êçúøç ΔABC ™EAC ¶μº’ñ«-EéÀ Ææ ÷ç-ûª®Ωç. Ç Í®ë«-êçúøç vA¶μº’-ñ«Eo Ææ´÷† ¢Áj »©uç Ö†o È®çúø’ ¶μ«í¬-©’í¬N¶μº>ÊÆh AX/AB =
2 − √⎯2
ï: ⎯⎯√
⎯2
41. ΔABC ™ BC, CA, AB ¶μº’ñ«© §Òúø- ¤©’ ´®Ω’-Ææí¬, a, b, c. A †’ç* UÆœ† ´’üμ¿u-í∫ûªç AD ⊥BC Å®·ûË b =
ï: ÆæÈ®j-† -ï-¢√-•’ -™‰-ü¿’ 42. xy = z, yz = x, zx = y ÅßË’u-ôô’x áEo (x, y, z)
üμ¿† ¢√Ææh´ Ææçêu© vAé¬-©†’ éπ†’éÓ\´îª’a?ï: 1
43. ΔABC ™ éÓùç A †’ AD Ææ´’-Cy-êç-úø† îËÆæ÷h,BC E D ´ü¿l éπ©’-Ææ’hçC. BC = k O’. CA = l O’,AB = m O’. Å®·ûË DC §Òúø´¤ O’ô-®Ωx™
klï: ⎯⎯m + l
44. v°æA ¶μº’ïç 12 ߪ‚E-ô’xí¬ Ö†o ΔABC ™ A†’ç* BC °jéÀ UÆœ† ©ç• §ƒü¿ç D, AD ´’üμ¿uGçü¿’´¤ E Å®·ûË, BE §Òúø ¤
ï: √⎯63 units
45. 13 ߪ‚Eôx ¢√u≤ƒ®Ωl¥ç Ö†o ´%ûªhç Íéçvü¿ç (3, 6),Ç ´%ûªhç™ P(7, 9) Åçûª-®Ω_ûª Gçü¿’´¤ AP = PBÅßË’u™« APB Ç ´%ûªhç ñ«u Å®·ûË AB §Òúø´¤?ï: É*a† ¢√öÀ™ ÆæÈ®j† Ææ ÷-üμΔ†ç ™‰ü¿’ (24)
46. äéπ vA¶μº’ïç Q®√{©’ A(4, 3), B(−2, 3), C(6, −1); ΔABC ™ X(1, −1) Åçûª-®Ω_ûª Gçü¿’´¤Å®·ûË Ñ éÀçC¢√-öÀ™ àC Ææûªuç?
ï: A, B, C © †’ç* X Ææ´÷† ü¿÷®Ωç™ Öçô’çC47. äéπ í∫úÕ-ߪ÷-®Ωç-™E 3.15 pm †’ç* 3.45 pm
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ï: äéπ Å®Ωl¥ ´%ûªhç48. ´®Ω’-Ææí¬ a, b ¢√u≤ƒ-®√l¥©’ Ö†o È®çúø’ ´%û√h©’
¶«£æ«uçí¬ Ææp %Pç--èπ◊ç-ö«®·. C ¢√u≤ƒ-®Ωl¥çí¬ Ö†oäéπ ´%ûªhç Ñ È®çúø’ ´%û√h-©†’, ¢√öÀ Ö´’túÕ Ææp®Ωz-Í®-ꆒ èπÿú≈ Ææp %PÊÆh, Ñ éÀçC¢√-öÀ™ àC Ææûªuç?
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⎯a √⎯b √
⎯c49. äéπ ´%ûªhç 3 Ææ®Ω-∞¡-Í®-ê-©†’ êçúÕÆæ÷h §Ú®·-†-°æ¤púø’
äéπüΔEûÓ äéπöÀ àéÃ-¶μº-Nç-îªE (Ø√Ø˛ ã´®˝™«u°œçí˚) í∫J≠æe Ææçêu™ Ö†o vAñ«uç-ûª-®√©’?
ï: 650. 5 cm, 3 cm ¢√u≤ƒ®√l¥©’ Ö†o È®çúø’ ´%û√h©
ÍéçvüΔ©’ ´®Ω’-Ææí¬ A, B, ©’. Ç È®çúø’ ´%û√h©’Åçûª-®Ω_-ûªçí¬ Ææp %Pç--èπ◊ç-ö«®· Í®ë«-êçúøç AB©ç• Ææ´’-Cy-êç-úø† Í®ê °ü¿l ´%û√hEo P, Q ™éπLÊÆh, P Q §Òúø ¤
ï: 4√⎯6 cm
51. ΔABC ™ BC ¶μº’ñ«Eo äéπ ´%ûªhç P ´ü¿l Ææp %P-Ææ’hçC. AB, AC ©’ ´®Ω’-Ææí¬ Q, R Gçü¿’- ¤©´®Ωèπ◊ §ÒúÕ-Tç--î√®Ω’. AQ = 5 cm Å®·ûË ΔABCô’d-éÌ-©ûª?
ï: 10 cm
52. È®çúø’ ´%û√h©’ P ÅØË Gçü¿’´¤ ´ü¿l ¶«£æ«uçí¬Ææp %Pç--èπ◊ç-ö«®·. AB ÅØË Ö´’túÕ Ææp®Ωz-Í®ê Ö†oäéπ ´%ûªhç Ç È®çúø’ ´%û√h-©†’ A, B ´ü¿l Ææp %PÊÆh∠APB N©’´?
ï: 90°
53. ߪ‚Eö¸ ¢√u≤ƒ®Ωl¥ç Ö†o È®çúø’ ´%û√h©’ äéπ üΔE-ØÌ-éπöÀ Ææp %Pç--èπ◊ç-ö«®·. ÅN 2 ߪ‚Eôx¢√u≤ƒ®Ωl¥ç Ö†o ´’®Ìéπ ´%û√hEo Åçûª-®Ωçí¬ Ææp %Pç--èπ◊ç-ö«®·. Ñ éÀçC *vûªç™ îª÷°œ-†ô’xÖçö«®·. Ñ ´‚úø’ ´%û√h-©†’ Ææp %PçîË ´%ûªhç¢√u≤ƒ®Ωl¥ç
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