rð¼køk · 2019-05-21 · 0411 -A 2 of 32 P.T.O. Space for Rough Work rð¼køk I «Úk{ ¼k»kk «§ 1 Úke 3 {kxu Mkq[Lkk : Lke[uLkku Vfhku ðkt[e íkuLke Lk e[u ÃkqAu÷k «§kuLkk

0411 -A P.T.O.2 of 32

Space for Rough Work

rð¼køk I«Úk{ ¼k»kk

«§ 1 Úke 3 {kxu Mkq[Lkk : Lke[uLkku Vfhku ðkt[e íkuLke Lke[u ÃkqAu÷k «§kuLkk sðkçk ÃkÞkoÞ{ktÚke þkuÄku.

økwshkíkLkk òýeíkk ÷u¾f Äq{fuíkw. íku{Lkwt Lkk{ økkiheþtfh økkuðÄoLkhk{ òu»ke. íku ð¾íku¾kLkkÃkwh{kt hnuíkk. yu{Lkk ½h{kt ôËhkuLkku ¼khu ºkkMk níkku. Ãkkh rðLkkLkk ôËhku. íku{LkuMkkÃk fhíkkt Ãký ôËhLke çkef ðÄkhu ÷køkíke. fkhý òýku Aku ? Äq{fuíkwLku ÃkwMíkfku «kýfhíkktÞ yrÄf ðnk÷kt níkkt. ôËh ÃkwMíkfkuLku fkíkhe ¾kÞ. {kxu Äq{fuíkwLku MkkiÚke {kuxe {w~fu÷eníke ÃkwMíkfkuLku ôËhkuÚke çk[kððkLke. MkwÚkkh ÃkkMku íku{ýu yuf Ãkktshwt çkLkkðzkÔÞwt. yu{LkwtMksoLkfkÞo hkºku Ãký [k÷w s hnuíkwt. fkuE ð¾ík ÷¾ðkLkwt [k÷w nkuÞ íku s ð¾íku ôËh MkÃkzkÞ.Äq{fuíkw íkhík s ÷¾ðkLkwt çktÄ fhe Ãkktshwt Ÿ[feLku çknkh ykðu. {Ähkík nkuÞ, ½kuh ytÄkhwtnkuÞ, yuðk Mk{Þu Ãký ôËhLku Akuzðk LkËe rfLkkhu s òÞ. ÃkAe ½uh ykðeLku MksoLkfkÞoykøk¤ ÄÃkkðu.

yuf MLkuneLku yk çkkçkíkLke òý ÚkE. íkuýu Äq{fuíkwLku fÌkwt, Mkknuçk ! ôËhLku Mkðkhu Akuzeykðku íkku ÷¾ðk{kt yðhkuÄ Lk ykðu Lku !

sðkçk{kt Äq{fuíkwyu fÌkwt, nwt íkku {wÂõíkLkk {nk{tºkLkku WÃkkMkf Awt. ÃkwMíkf{kt {wÂõík yLku«u{Lkkt økeíkku økkô Awt. ôËhLku yk¾e hkík Ãkktshk{kt Ãkqhu÷ku hk¾ðkÚke íku Ëw:¾e Lk ÚkkÞ ?yuðku Ët¼ {khkÚke Lk ÚkkÞ !

rð[kh, ðkýe yLku ðíkoLkLkku fuðku yËT¼wík Mk{LðÞ !1. Äq{fuíkwLku MkkiÚke {kuxe {w~fu÷e þkLke níke ?

(1) ôËhLku Akuzðk sðkLke (2) hkºku MksoLkfkÞo fhðkLke(3) ÃkwMíkfkuLku ôËhkuÚke çk[kððkLke (4) ¾kLkkÃkwh{kt hnuðkLke

0411 -A P.T.O.3 of 32


2. Äq{fuíkw ôËhLku yk¾e hkík Ãkktshk{kt Ãkqhu÷ku hk¾íkk Lknª fkhýfu...

(1) ôËh Axfe sþu yuðku íku{Lku zh níkku.(2) íku{Lkk rð[kh, ðkýe yLku ðíkoLk{kt yËT¼wík Mk{LðÞ níkku.(3) ôËhLke íku{Lku çkef ÷køkíke níke.(4) çkeòu ôËh Ãký Ãkktshk{kt ykðe VMkkÞ íku {kxu.

3. {wÂõíkLkk {nk{tºkLkk WÃkkMkf níkk....

(1) yuf MLkune (2) MkwÚkkh(3) økkiheþtfh (4) WÃkhLkk çkÄk s

4 Úke 6 {kxu Mkq[Lkk : Lke[uLkwt fkÔÞ ðkt[e íkuLke Lke[u ÃkqAu÷k «§kuLkk sðkçk ÃkÞkoÞ{ktÚke þkuÄku.

{kLke {{íkk, rÃkíkk fuhe Mk{íkkLkku òuxku søku Lkk szu,fhku ÷k¾ «ÞíLkku AíkktÞu fËe yuLkwt Éý Lkk x¤u !

òík ðk¤e síkLk rLks MkwíkLkwt fhu,Ãkkxk çkktÄeLku Ãkuxu, WAuh fhu;

½qtx yktMkwLkk ÃkeLku MkËkÞ y{e ð»kkoð fhu...!¼eLku MkqE, Mkqfu MkwðzkÔÞku íkLku,fktxk ðeýeLku ðuÞko Au Ãkw»Ãk ÃkÚku;

SðLk Mkkih¼ yuðe «Mkkh, {kçkkÃkLke ykt¾ Xhu...!rð¥k ði¼ðÚke yuLkk fku’ íkku÷ LkÚke,{kðíkhLkk søku fkuE {ku÷ LkÚke;

SÔÞwt ÔÞÚko Au yuLkwt, su fkuE {kçkkÃkLkwt rË÷ Ëw¼ðu...!

0411 -A P.T.O.4 of 32


4. yk frðíkk{kt frðyu fkuLke Mk{íkkLke ðkík fhe Au ?

(1) {kíkkLke (2) çknuLkLke

(3) ¼kELke (4) rÃkíkkLke

5. ‘ykt¾ Xhðe’ yux÷u.....

(1) ykLktË Úkðku (2) þktrík Úkðe

(3) Ëw:¾ Úkðwt (4) ykùÞo Úkðwt

6. yk frðíkk{kt ‘{kðíkh’ þçË fkuLku yLkw÷ûkeLku ðÃkhkÞku Au ?

(1) {kíkk-¼kE (2) {kíkk-rÃkíkk

(3) ¼kE-rÃkíkk (4) {kíkk-çknuLk

7. Lke[uLkk{ktÚke fE òuze rðhwØkÚkeo LkÚke ?

(1) {eXe fzðe (2) fk¤kt Äku¤kt

(3) ¾zík÷ {sçkqík (4) MkwøktÄ ËwøkOÄ

8. Lke[u þçËMk{qn {kxu yuf þçË yuðe òuzeyku ykÃku÷e Au. íku{ktÚke yÞkuøÞ òuze yku¤¾ku.

(1) x[÷e yktøk¤eLke Ãkz¾uLke yktøk¤e - yLkkr{fk

(2) ykðf íkÚkk ¾[oLkku yzMkèku - ytËksÃkºkf

(3) yËT¼wík ðMíkwykuLkwt MktøkúnMÚkkLk - yòÞçk½h

(4) suLku þºkw LkÚke íkuðe ÔÞÂõík - yshk{h

0411 -A P.T.O.5 of 32


9. ¾uíkÃkuËkþku ykÄkrhík [esðMíkwyku WÃkh ‘yuøk{kfo’Lke AkÃk ÷økkzðk{kt ykðu Au.

WÃkhLkk ðkõÞ{kt fÞku Ãkkrh¼kr»kf þçË Au ?

(1) ¾uíkÃkuËkþ (2) yuøk{kfo(3) [esðMíkw (4) WÃkh

10. Lke[uLkk{ktÚke fÞku þçË ÃkiMkkLkku Mk{kLkkÚkeo þçË LkÚke ?

(1) feŠík (2) ÄLk(3) Ëku÷ík (4) ÿÔÞ

11. Lke[u ykÃku÷k ÃkÞkoÞku{ktÚke Mkk[e òuzýeðk¤k ÃkÞkoÞku þkuÄku.

(1) Ãkqðo (2) Ãkrù{(3) W¥kh (4) Ëûkeý

12. ‘ðk¤ Ãký ðktfku Lk Úkðku’ yk yÚkoLkku YrZ«Þkuøk ykÃku÷k ÃkÞkoÞku{ktÚke þkuÄku.

(1) fk[k Ãkku[k Lk nkuðwt (2) QLke ykt[ Lk ykððe(3) yðøkýðwt (4) ÃknkU[ Ähkððe

13. Lke[uLkk{ktÚke ‘y½ku»k ÔÞtsLk’ yku¤¾ku.

(1) økT (2) ÚkT(3) LkT (4) hT

14. Lke[uLkk{ktÚke ÞkuøÞ rðøkún Ëþkoðíkk ÃkÞkoÞku yku¤¾ku.

(1) Ëw: + øk{ (2) ËwMkT + øk{(3) Ëw + øk{ (4) ËqhT + øk{

0411 -A P.T.O.6 of 32


15. yÞkuøÞ òuze yku¤¾ku.

(1) Ãkkýe - Ãkkýku (2) V¤ - V¤ku(3) Ëkýku- Ëkýk (4) Vq÷ - Vq÷ku

16. Lke[uLkk ÃkÞkoÞku{ktÚke MktçktÄf ¼qíkf]ËtíkLkk «íÞÞku yku¤¾ku.

(1) E (2) ðk(3) ðkLku (4) ELku

17. çkku÷LkkhLke WÂõíkLku yÚkðk fÚkLkLku r[öLke ðå[u {qfðk{kt ykðu Au.

(1) «§kÚko r[ö (2) WËTøkkh r[ö(3) yÕÃkrðhk{ (4) yðíkhý r[ö

18. ‘nwt fk÷u Ãkheûkk ykÃkðk sEþ’ yk ðkõÞLku ¼qíkfk¤{kt Vuhðku.

(1) nwt fk÷u Ãkheûkk ykÃkðk økÞku níkku. (2) nwt fk÷u Ãkheûkk ykÃkðk sðkLkku Awt.(3) nwt Ãkheûkk ykÃkðk sô Awt. (4) nwt Ãkheûkk ykÃkwt Awt.

19. Lke[uLkk{ktÚke fÞwt îtî Mk{kMkLkwt WËknhý LkÚke ?

(1) nkhSík (2) {he {Mkk÷k(3) hkòhkýe (4) Ãkt[ðxe

20. Lke[uLkk{ktÚke «kMkMkktf¤e y÷tfkh yku¤¾ku.

(1) {k ¼ku{Lke hûkk fksu, ríkhtøkku ÷E Vheyu yksu.(2) «u{ ÃkËkhÚk y{ku Ãkk{eyu, ðk{eyu sL{{hý stò¤.(3) ðkøku ð]tËkðLk{kt ðktMk¤e hu.(4) Lkð Mk{ßÞku ËkLkð yÕÃk{rík.

0411 -A P.T.O.7 of 32


21. Lke[uLkk ðkõÞ{ktÚke heríkðk[f r¢Þk rðþu»ký ykÃku÷k ÃkÞkoÞku{ktÚke yku¤¾ku.

ÄhíkeftÃkLkku ykt[fku ykðíkkt {fkLkku ÄzkÄz Ãkzðk ÷køÞk.(1) ÄhíkeftÃk (2) {fkLkku(3) ÄzkÄz (4) ykt[fku

22. çktÄçkuMkíkku Lk nkuÞ íku þçË yku¤¾ku.

(1) Zu÷ (2) {uLkk(3) {h½e (4) ÃkkuÃkx

23. Vq÷ËkLke{kt htøkçkuhtøke Vq÷ku þku¼íkk níkk.

yÄkuhur¾ík rðþu»kýLkku «fkh yku¤¾ku.

(1) «{kýðk[f (2) MktÏÞkðk[f(3) økwýðk[f (4) Ãkrh{kýðk[f

24. økÍ÷ ÷u¾Lk {kxu Lke[uLkk ÃkÞkoÞku{ktÚke fkuý «rMkØ Au ?

(1) MkwtËh{T (2) W{kþtfh òu»ke(3) çkk÷{wfwtË Ëðu (4) økLke Ënªðk÷k

25. ‘¼{eyu økwshkíku’ yk f]rík fÞku MkkrníÞ «fkh Ëþkoðu Au ?

(1) ÷kuf Lkkxf (2) yufktfe(3) «ðkMk ðýoLk (4) Lkðr÷fk

0411 -A P.T.O.8 of 32


Section IIMathematics

26. ºký ytfe {kuxk{kt {kuxe {q¤ MktÏÞk yLku çku ytfe LkkLkk{kt LkkLke {q¤ MktÏÞkLkk Mkhðk¤k{kt fEMktÏÞkLkku ðøko W{uhíkkt 32 MktÏÞkLkku ðøko {¤þu ?

(1) 2 (2) 3

(3) 4 (4) 6

27. òu çku Mk{ktíkh hu¾kLku yuf AurËfk AuËu íkku ÔÞwí¢{ fkuýLke fw÷ òuzLkku MktøkíkfkuýLkk fw÷ òuzMkkÚkuLkku økwýku¥kh fux÷ku ?

(1) 1:2 (2) 2:3

(3) 3:2 (4) 2:5

28. 28 Mku{e ÔÞkMkðk¤k Lk¬h yÄoøkku¤kLkwt fw÷ Ãk]cV¤Lkku 14 Mku{e rºkßÞkðk¤k Lk¬h økku¤kLkkÃk]cV¤ MkkÚkuLkku økwýku¥kh fux÷ku ?

(1) 2:1 (2) 4:3

(3) 3:4 (4) 1:2

0411 -A P.T.O.9 of 32


Section IIMathematics

26. Whose perfect square should be added to the sum of the greatest three digit primenumber and the smallest two digit prime number so that the resultant number isperfect square of 32.

(1) 2 (2) 3

(3) 4 (4) 6

27. If a transversal intersects two parallel lines then find the ratio of the number of pairsof alternate angles to the number of pairs of corresponding angles so formed

(1) 1:2 (2) 2:3

(3) 3:2 (4) 2:5

28. Find the ratio of the total surface area of the hemisphere with diameter 28 cm tosurface area of a sphere having radius 14 cm.

(1) 2:1 (2) 4:3

(3) 3:4 (4) 1:2

0411 -A P.T.O.10 of 32


29. MkwrLk÷u yrLk÷ ÃkkMkuÚke ºký ð»ko ðkÃkhu÷wt yuf sqLkwt Þtºk 729000 YrÃkÞk{kt ðu[kíkwt ÷eÄwt. òu½xkzkLkku Ëh Ë.ð.Ë.Mku 10 nkuÞ íkku yrLk÷u íku Þtºk fux÷k YrÃkÞk{kt ÷eÄwt níkwt ?

(1) 900000 Rs. (2) 1000000 Rs.

(3) 800000 Rs. (4) 1200000 Rs.

30. (2x3 + 1) (x2 – 1) yk çknwÃkËeLkku økwýkfkhLkku ½kík fux÷ku ?

(1) 1 (2) 3

(3) 5 (4) 6

31. MktÏÞk yLku íkuLke økwýkfkh ÔÞMík MktÏÞkLkk økwýkfkhLke Mkhðk¤k ÔÞMík MktÏÞk fE ?

(1) 1 (2) –1

(3) 0 (4) –2

32. yuf ¾qýkLkwt {kÃk íkuLkk ÃkqhffkuýLkk {kÃkLkk 14 økýwt Au íkku íku ¾qýkLkk fkurxfkuýLkwt {kÃk fux÷wt ?

(1) 36o (2) 45o

(3) 54o (4) 60o

0411 -A P.T.O.11 of 32


29. Sunil bought a 3 year old machine from Anil at a price of Rs. 7,29,000. Its valuedecreases by 10 p.c.p.a. What was the price of the machine when Anil bought it ?

(1) Rs. 9,00,000 (2) Rs. 10,00,000

(3) Rs. 8,00,000 (4) Rs. 12,00,000

30. Write the degree of the product of the binomials. (2x3 + 1) (x2 –1)

(1) 1 (2) 3

(3) 5 (4) 6

31. Find the additive inverse of the product of a number and its multiplicative inverse.

(1) 1 (2) –1

(3) 0 (4) –2

32. The measure of a given angle is 14 times that of its supplementary angle. Find the

measure of its complementary angle.

(1) 36O (2) 45O

(3) 54O (4) 60O

0411 -A P.T.O.12 of 32


33. y{ehu 2000 YrÃkÞkLke sux÷e Lkkuxku çkUf{kt ¼he íkux÷e s Lkkuxku 1000 YrÃkÞkLke yLku 200

YrÃkÞkLke ¼he. òu íkuýu fw÷ hf{ 16000 YrÃkÞk çkUf{kt ¼Þko nkuÞ íkku íkuýu ¼hu÷e LkkuxkuLke fw÷MktÏÞk fux÷e ?

(1) 5 (2) 15

(3) 18 (4) 21

34. Ë.ð.Ë.MkU 8Lkk Ëhu 48000 YrÃkÞk {wÆ÷Lkwt 112 ð»koLkwt [¢ð]rØ ÔÞks fux÷wt ?

(1) 4475 Rs. (2) 4265 Rs.

(3) 4274 Rs. (4) 5914 Rs.

35. x2 + x – 72 hkþeLkk yðÞð Lke[uLkk{ktÚke fÞk ?

(1) (x – 8) (x + 9) (2) (x + 9) (x + 8)

(3) (x – 8) (x – 9) (4) (x – 9) (x + 8)

36. 715 , 11

20 , 25 , 12

25 yk Mkt{uÞ MktÏÞk{ktÚke MkkiÚke {kuxe yLku MkkiÚke LkkLke MktÏÞk ðå[uLkku íkVkðík

fux÷ku ?

(1) 320 (2) 3

10

(3) 103 (4) 20

3

0411 -A P.T.O.13 of 32


33. The number of notes of Rs. 2000 deposited in the bank by Amir is equal to the totalnumber of notes of Rs. 1000 and Rs. 200 deposited in the bank. The total amountdeposited in the bank was Rs. 16000. Find the total number of notes deposited in thebank.

(1) 5 (2) 15

(3) 18 (4) 21

34. Find the compound interest for Rs. 48,000 for years at the rate of 8 p.c.p.a.

(1) Rs. 4475 (2) Rs. 4265

(3) Rs. 4274 (4) Rs. 5914

35. Which of the following are the factors of the polynomial x2 + x – 72.

(1) (x – 8) (x + 9) (2) (x + 9) (x + 8)

(3) (x – 8) (x – 9) (4) (x – 9) (x + 8)

36. Find the difference between the greatest and the smallest rational numbers givenbelow.

7 11 2 1215 20 5 25

, , ,

(1)320 (2)

310

(3)103 (4)

203

0411 -A P.T.O.14 of 32


37. ½rzÞk¤{kt 2 ðkøkeLku 15 r{rLkx ÚkE nkuÞ íÞkhu r{rLkx fktxku yLku f÷kf fktxkt ðå[u fux÷k

ytþLkku ¾qýku ÚkkÞ ?

(1) o30 (2)o122

2

(3)o182

2(4)

o1522

38. 452 {exh ÷tçkkE yLku 322 {exh Ãknku¤kEðk¤k ÷tçk[kuhMkkfkh çkkøkLke çknkhLke çkksw

yzeLku 11 {exh Ãknku¤kELkku hMíkku íkiÞkh fÞkuo íkku íku hMíkkLkwt ûkuºkV¤ fux÷k [ku{e. nþu ?

(1) 4972 (2) 3542

(3) 16544 (4) 15544

39. 240 r÷xh ËqÄLkk ÿkðý{kt 8% {÷kELkwt «{ký Au. 160 r÷xh ËqÄLkk ÿkðý{kt 15% {÷kELkwt

«{ký Au. òu çkLLku ÿkðý ¼uøkk fÞko íkku íku r{©ý{kt {÷kELkwt MkUfzu «{ký fux÷wt nþu ?

(1) 10.5 (2) 10.6

(3) 10.7 (4) 10.8

40. 16x4 – 81Lkk yðÞð Lke[uLkk{ktÚke fÞk ? (çku y[qf ÃkÞkoÞ þkuÄku.)

(1) (4x + 9) (4x – 9) (2) (4x2 + 9) (4x2 – 9)

(3) (4x2 + 9) (2x + 3) (2x – 3) (4) (2x + 3)2 (2x – 3)

0411 -A P.T.O.15 of 32


37. Find the measure of the anlge between the hour hand and minute hand of a clock at 15minutes past 2.

(1) 30O (2)O122

2

(3)O182

2(4)

O1522

38. The length of a rectangular garden is 452 m and breadth is 322m. There is a 11m broadroad around this garden. Find the area of the road. in sq.m.

(1) 4972 (2) 3542

(3) 16544 (4) 15544

39. If 240 litre milk containing 8% fat is mixed with 160 litre milk containing 15% fat.What will be the percentage of fat in the mixture.

(1) 10.5 (2) 10.6

(3) 10.7 (4) 10.8

40. Which of the following are the factors of 16x4 – 81. [Select the correct alternatives]

(1) (4x + 9) (4x – 9) (2) (4x2 + 9) (4x2 – 9)

(3) (4x2 + 9) (2x + 3) (2x – 3) (4) (2x + 3)2 (2x – 3)

0411 -A P.T.O.16 of 32


41. 2m 23 6561 íkku mLke ®f{ík fux÷e ?

(1) 2 (2) 3

(3) 4 (4) 5

42. yuf [kuhMkLkku rðfýo 25 2 Mku{e. nkuÞ íkku íku [kuhMkLkwt ûkuºkV¤ fux÷wt ?

(1) 625 [ku.Mku{e (2) 525 [ku.Mku{e

(3) 825 [ku.Mku{e (4) 725 [ku.Mku{e

43. 44 Mku{e Ãkrhr{ríkðk¤k [kuhMkLkwt ûkuºkV¤ 44 Mku{e Ãkrh½ðk¤k ðíkwo¤Lkk ûkuºkV¤ fhíkkt fux÷wtykuAwt Au ?

(1) 33 [ku.Mku{e (2) 32 [ku.Mku{e

(3) 30 [ku.Mku{e (4) 23 [ku.Mku{e

44. rxrfxLke ®f{ík Mku.20Úke ðÄíkk ðu[ký Mku.10Úke ykuAwt ÚkÞwt íkku ykðf{kt Mku.ðÄkhku yÚkðk½xkzku fux÷ku ÚkÞku ?

(1) 8% ½xkzku (2) 8% ðÄkhku

(3) 7% ½xkzku (4) 7% ðÄkhku

45. òu 3 4 24 9

x x íkku x Lke ®f{ík fux÷e ?

(1) 5 (2) –3

(3) 3 (4) 9

0411 -A P.T.O.17 of 32


41. Find the value of m if 2m 23 6561

(1) 2 (2) 3

(3) 4 (4) 5

42. The diagonal of a square is 25 2 cm. Find the area of the square.

(1) 625 cm2 (2) 525 cm2

(3) 825 cm2 (4) 725 cm2

43. How much less is the area of a square whose perimeter is 44 cm. than the area of acircle whose circumference is 44 cm.

(1) 33 cm2 (2) 32 cm2

(3) 30 cm2 (4) 23 cm2

44. Due to 20% increase in the price of a ticket, the sale was decreased by 10%. Find byhow much percentage the income was increased or decreased ?

(1) 8% decrease (2) 8% increase

(3) 7% decrease (4) 7% increase

45. If 3 4 2 =

4 9x x

. Then find ‘x’.

(1) 5 (2) –3

(3) 3 (4) 9

0411 -A P.T.O.18 of 32


46. 5 yLku 0 (þqLÞ) yk ytf øk{u íkux÷e ðkh ðkÃkheLku 11 ðzu ¼køk síke [kh ytfe MktÏÞkykuLkkuMkhðk¤ku fux÷ku ?

(1) 16060 (2) 21210

(3) 56760 (4) 27720

47. yuf çkMkLkk ÃkizktLkku ÔÞkMk 1.4 {exh Au. òu íku çkMkLku yuf þnuhÚke çkeò þnuh MkwÄe sðk {kxuíku ÃkizktLkk 20000 Vuhk ÚkkÞ íkku íku çkMku fux÷wt ytíkh fkÃÞwt nþu ? (çku y[qf ÃkÞkoÞ þkuÄku.)

(1) 88 rf{e. (2) 44 rf{e.

(3) 88000 {exh (4) 44000 {exh

48. yuf ðíkwo¤kfkh Lk¤kfkh rMk{UxLke xktfeLkku ÔÞkMk 14 {exh Au yLku íkuLke Ÿ[kE 10 {exh Au íkkuíku xktfe{kt fux÷k r÷xh Ãkkýe Mk{kþu ?

(1) 154000 (2) 1540000

(3) 2540000 (4) 3540000

49. Ë.ð.Ë.MkU 1122 Lkk Ëhu 15000 YrÃkÞk hf{ fux÷k ð»ko{kt çk{ýe Úkþu ?

(1) 6 ð»ko (2) 7 ð»ko

(3) 8 ð»ko (4) 12 ð»ko

50. 4a2 + 9b2 + 25c2 – 12ab – 30bc + 20ac yk hkþeLkk yðÞð Lke[uLkk{ktÚke fÞk ?

(1) (2a + 3b + 5c) (2a + 3b + 5c) (2) (2a – 3b + 5c) (2a – 3b + 5c)

(3) (2a + 3b – 5c) (2a + 3b – 5c) (4) (2a – 3b – 5c) (2a – 3b – 5c)

0411 -A P.T.O.19 of 32


46. Find the sum of all four digit numbers formed by using the digits 0, and 5, repeatingany number of times in the number.

(1) 16060 (2) 21210

(3) 56760 (4) 27720

47. A bus has wheels of diameter 1.4m. Travelling from one town to other, the wheels com-plete 20,000 rotations. Find the distance covered by the bus. [Select two correct alter-natives]

(1) 88 km (2) 44 km

(3) 88000 m (4) 44000 m

48. How much water will a cylindrical tank contain if its height is 10 m and diameter is14m.

(1) 154000 litres (2) 1540000 litres

(3) 2540000 litres (4) 3540000 litres.

49. In how many years will Rs. 15000 will be doubled at the rate of 1122 p.c.p.a.?

(1) 6 years (2) 7 years

(3) 8 years (4) 12 years

50. Which of the following are the factors of the polynomial.2 2 24a 9b 25c 12ab 30bc 20ac

(1) (2a + 3b + 5c) (2a + 3b + 5c) (2) (2a – 3b + 5c) (2a – 3b + 5c)

(3) (2a + 3b – 5c) (2a + 3b – 5c) (4) (2a – 3b – 5c) (2a – 3b – 5c)

0411 -A P.T.O.20 of 32


51. çku ytfe çku MktÏÞkLkku økw.Mkk.y. 14 yLku ÷.Mkk.y. 490 Au. íkku íku çku MktÏÞkLkku Mkhðk¤ku fux÷ku ?

(1) 140 (2) 147

(3) 168 (4) 182

52. yuf Mk{¼qs [íkw»fkuýLkk rðfýo 24 Mku{e yLku 32 Mku{e ÷tçkkELkk Au. íkku íku Mk{¼qs [íkw»fkuýLkeÃkrhr{rík fux÷e ?

(1) 40 Mku{e (2) 80 Mku{e(3) 100 Mku{e (4) 120 Mku{e

53. yuf ÷tçk½Lkkfkh çkkìõMkLke ÷tçkkE 60 Mku{e, Ãknku¤kE 18 Mku{e yLku Ÿ[kE 15 Mku{e Au. ykçkkìõMk{kt 6 Mku{e çkkswðk¤k fux÷k ½Lkkfkh çkkìõMk Mk{kþu ?

(1) 55 (2) 60

(3) 65 (4) 75

54. rðfkMku yuf ½rzÞk¤ 6540 YrÃkÞk{kt yLku çkeS ½rzÞk¤ 3460 YrÃkÞk{kt ¾heËe yLku íku çkLLku½rzÞk¤ku íkuýu 10,900 YrÃkÞk{kt ðu[e íkku íkuLku íku ÔÞðnkh{kt Mku.LkVku yÚkðk Mku.¾kux fux÷e ÚkE ?

(1) Mku. 8 LkVku (2) Mku. 8 ¾kux(3) Mku. 9 ¾kux (4) Mku. 9 LkVku

55. økwýkfkh fhku.

(4a2 + 6ab + 9b2) (2a – 3b)

(1) 8a3 + 27b3 (2) 27a3 – 8b3

(3) 27a2 – 8b2 (4) 8a3 – 27b3

0411 -A P.T.O.21 of 32


51. H.C.F of two digit two numbers is 14 and L.C.M. is 490. Find the sum of those twonumbers.

(1) 140 (2) 147

(3) 168 (4) 182

52. The diagonals of a rhombus are 24 cm and 32 cm. Find the perimeter of the rhombus.

(1) 40 cm (2) 80 cm

(3) 100 cm (4) 120 cm

53. A cuboid box has length 60 cm breadth 18 cm and height 15 cm. How many cabicalboxes having each side 6 cm. will be contained in the box.

(1) 55 (2) 60

(3) 65 (4) 75

54. Vikas purchased a watch for Rs. 6540 and another one for Rs. 3460. Both the watcheswere sold for Rs. 10,900. What was the profit percent or loss percent in thistransaction?

(1) 8% profit (2) 8% loss

(3) 9% loss (4) 9% profit

55. Multiply.

(4a2 + 6ab + 9b2) (2a – 3b)

(1) 8a3 + 27b3 (2) 27a3 – 8b3

(3) 27a2 – 8b2 (4) 8a3 – 27b3

0411 -A P.T.O.22 of 32


56. 3 24389 fux÷k ?

(1) 19 (2) 29

(3) 39 (4) 27

57. hk{hkð ÃkkMkuÚke þk{hkðu 26 òLÞwykhe 2016Úke 21 {k[o 2016 yk íkkhe¾ MkwÄe Ëhhkus ËkuZr÷xh ËqÄ ÷eÄwt. ËqÄLkku Ëh 47 Yk. r÷xh níkku íkku íku{ýu fw÷ fux÷k YrÃkÞkLkwt rçk÷ hk{hkðLkuykÃÞwt ?

(1) 2632 Rs. (2) 3948 Rs.

(3) 3878 Rs. (4) 3949 Rs.

58. çkkswLke ykf]rík{kt økx{kt Lk çkuMkíkku ¾qýku fÞku ? íku ÃkÞkoÞ{ktÚke þkuÄku.

(1) m ACB (2) m ADB

(3) m CEB (4) m BFA

59. ¾kËe økúk{Wãkuøk {tz¤u økúknfLku fkÃkzLkk ðu[ký ®f{ík Ãkh Mku. 1112 rhçkux ònuh fÞkuo. òu

økúknfu 65000 YrÃkÞkLkwt fkÃkz ¾heãwt íkku íkuLku fux÷ku rhçkux {¤þu ?

(1) 6564 Rs. (2) 7475 Rs.

(3) 8485 Rs. (4) 6465 Rs.

60. 25x2 + 49y2 yk hkþe Ãkqýo ðøko Úkðk {kxu Lke[uLkk{ktÚke fÞwt ÃkË W{uhðwt ? (çku y[qf ÃkÞkoÞþkuÄku.)

(1) 35 xy (2) –70 xy

(3) 70 xy (4) –35 xy

0411 -A P.T.O.23 of 32


56. 3 24389 = How much

(1) 19 (2) 29

(3) 39 (4) 27

57. Shamrao purchased one and half litres milk everyday from 26th January 2016 to 21stMarch, 2016 from Ramrao. The rate of milk was Rs. 47 per litre. Find the amount ofthe bill that shamrao paid to Ramrao for the milk.

(1) Rs. 2632 (2) Rs. 3948

(3) Rs. 3878 (4) Rs. 3949

58. Observe the given figure and find the odd term.

(1) m ACB (2) m ADB

(3) m CEB (4) m BFA

59. Khadi Gramodyog mandal declared rebate of on sale of cloth. A customer pur-chased cloth worth Rs. 65000. Find the amount of rebate that the customerwill received.

(1) Rs. 6564 (2) Rs. 7475

(3) Rs. 8485 (4) Rs. 6465

60. Which term shoud be added to 25x2 + 49y2 so that the sum will be a perfect square.(Choose two correct alternatives)

(1) 35 xy (2) –70 xy

(3) 70 xy (4) –35 xy

0411 -A P.T.O.24 of 32


61. MkkËwtYÃk ykÃkku.

65 104 56 177 99 45

(1) 1 (2) 0

(3) 25 (4) 2

7

62. yuf yÄoðíkwo¤kfkh çkkøkLke Ãkrhr{rík 180 {exh nkuÞ íkku íku çkkøkLkwt ûkuºkV¤ fux÷wt ?

(1) 3850 [ku{e. (2) 3350 [ku{e.

(3) 2250 [ku{e. (4) 1925 [ku{e.

63. 60 {exh ÷tçkkE, 40 {exh Ãknku¤kE yLku 5 {exh ŸzkELkk ¾kzk{ktÚke fkZu÷e {kxe 1 rf{e÷tçkkE yLku 24 {exh Ãknku¤kEðk¤k hMíkk Ãkh ÃkkÚkhe íkku fux÷e òzkELkku {kxeLkku Úkh íkiÞkhÚkþu ?

(1) 50 Mku{e (2) 5 Mku{e

(3) 0.5 {e (4) 1.5 {e

64. hk{hkðu 13 ®õðx÷ ½ô 3250 YrÃkÞk «rík ®õðx÷ Ëh «{kýu yLku 23 ®õðx÷ MkkuÞkçkeLk4350 YrÃkÞk «rík ®õðx÷ Ëh «{kýu yuf ykzríkÞk ðuÃkkheLku ðuåÞku. ðuÃkkheyu Mku. 3Lkk Ëhuykzík økýe íkku hk{hkðLku fux÷k YrÃkÞk {¤þu ?

(1) 138031 Rs. (2) 138033 Rs.

(3) 138181 Rs. (4) 138432 Rs.

0411 -A P.T.O.25 of 32


61. Simplify

65 104 56 177 99 45

(1) 1 (2) 0

(3)25 (4)

27

62. The perimeter of a semi-circular garden is 180 m. Find the area of the garden

(1) 3850 sq.m. (2) 3350 sq.m.

(3) 2250 sq.m. (4) 1925 sq.m.

63. A pit 60m long, 40 m wide and 5 m. deep was dug and the soil was spread evenly over aroad of length 1 km. and breadth 24 m. What was the thickness of the soil spread ?

(1) 50 cm (2) 5 cm

(3) 0.5 m (4) 1.5 m

64. Ramrao sold 13 quintals wheat at Rs. 3250 per quintal and 23 quintals soyabean atRs.4350 per quintal through a commission agent 3% commission was paid. Find theamount that Ramrao will receive:

(1) Rs. 1,38,031 (2) Rs.1,38,033

(3) Rs. 1,38,181 (4) Rs. 1,38,432

0411 -A P.T.O.26 of 32


65.2017 2017 2015 2015

4032 = fux÷k ? (çku y[qf ÃkÞkoÞ þkuÄku.)

(1) 2017 2015 (2) 2

(3) 2017 2015 (4) 4

66. x y (x yu yLkk Mk{[÷Lk{kt Au) ßÞkhu x = 35 íÞkhu y = 14 íkku Lke[uLkk{ktÚke [÷LkLkwt Mk{efhýfÞwt ?

(1) 2x = 5y (2) 2y = 5x

(3) 2x + 5y = 0 (4) 2y – 5x = 0

67. yuf fkxfkuý rºkfkuý{kt fkxfkuý çkLkkðíke çkkswLke ÷tçkkE 5 Mku{e yLku 12 Mku{e Au. íkku íkurºkfkuýLkk Ãkrhðíkwo¤Lke rºkßÞk fux÷e ?

(1) 6.5 Mku{e (2) 7.5 Mku{e

(3) 8.5 Mku{e (4) 5.5 Mku{e

68. yuf ½Lkkf]ríkLkwt fw÷ Ãk]cV¤ 384 [ku.Mku{e Au. íkku íku ½LkLkwt ½LkV¤ fux÷wt ?

(1) 512 ½.Mku{e (2) 343 ½.Mku{e

(3) 0.512 ½.{e (4) 0.343 ½.{e

69. (4x2 – 9x + 7) + (x2 + 5x – 1) - (5x2 – 4x + 5) = fux÷k ? (çku y[qf ÃkÞkoÞ þkuÄku.)

(1) 1 (2) x2 + 3x – 2

(3) 2x2 – 2x + 5 (4) 2o

0411 -A P.T.O.27 of 32


65. Solve: 2017 × 2017 2015 × 2015

4032 = How much ? (Select two correct alternatives)

(1) 2017 × 2015 (2) 2

(3) 2017 2015 (4) 4

66. x y (x varies directrly with y ) If x = 35, and y = 14, then find which of the followingis the equation of variation ?

(1) 2x = 5y (2) 2y = 5x

(3) 2x + 5y = 0 (4) 2y – 5x = 0

67. The sides forming the right angle of a right angled triangle are 5 cm. and 12 cm. Findthe radius of the circumcircle of the triangle.

(1) 6.5 cm (2) 7.5 cm

(3) 8.5 cm (4) 5.5 cm

68. Total surface area of a cube is 384cm2. Find the volume of that cube.

(1) 512 cu.cm (2) 343 cu.cm

(3) 0.512 cu.m (4) 0.343 cu.m.

69. (4x2 – 9x + 7) + (x2 + 5x – 1) – (5x2 – 4x + 5) = How much ? (Select two correctalternatives.)

(1) 1 (2) x2 + 3x – 2

(3) 2x2 – 2x + 5 (4) 2O

0411 -A P.T.O.28 of 32


70. yuf ðøko{ktLkk 41 rðãkÚkeoykuLkk ô{hLke MkhkMkhe 13.5 ð»ko Au. íku{Lke ô{h{kt ðøkorþûkfLke ô{hW{uhíkk íku çkÄkLkk ô{hLke MkhkMkhe 6 {rnLkk sux÷e ðÄu Au íkku ðøkorþûkfLke ô{h fux÷e ?

(1) 43 ð»ko 6 {rnLkk (2) 34 ð»ko 6 {rnLkk(3) 35 ð»ko 6 {rnLkk (4) 36 ð»ko 6 {rnLkk

71. yuf Mk{¼qs rºkfkuýLke çkksw 12 Mku{e Au íkku íku rºkfkuýLke ÷tçk-Ÿ[kE fux÷e ?

(1) 4 3 Mku{e (2) 48 Mku{e(3) 6 3 Mku{e (4) 108 Mku{e

72. ykÃku÷e ykf]rík{kt Mk{÷tçk [íkw»fkuý PQRS{kt PQ || çkksw SR Au. çkkswLkk {kÃk ykf]rík{kt

ËþkoÔÞk Au íkku Mk{÷tçk [íkw»fkuýLkwt ûkuºkV¤ fux÷wt ?

l (PQ) = 47 {e

l (SP) = 13 {e

l (MR) = 52 {e

l (SM) = 5 {e(1) 624 [ku{e (2) 524 [ku{e

(3) 6.24 [ku{e (4) 5.24 [ku{e

0411 -A P.T.O.29 of 32


70. In a class the average age of 41 students was 13.5 years. If the age of the class-teacher isadded to the total ages of the students, then the average age increases by 6 months. Findthe age of the class teacher.

(1) 43 years 6 months (2) 34 years 6 months

(3) 35 years 6 months (4) 36 years 6 months

71. Find the perpendicular height of an equilateral triangle whose side is 12 cm.

(1) 4 3 cm. (2) 48 cm.

(3) 6 3 cm. (4) 108 cm.

72. In the above trapezium PQRS side PQ 11 side SR. The measurements of the sides aregiven in the figure. observe the figure and find the area of the trapezium.

l (PQ) = 47 m.

l (SP) = 13 m.

l (MR) = 52 m.

l (SM) = 5 m.

(1) 624 m2 (2) 524 m2

(3) 6.24 m2 (4) 5.24 m2

0411 -A P.T.O.30 of 32


«. 73 Úke 75 {kxu Mkq[Lkkhk{hkðu 2011 Úke 2015 Mkk÷ MkwÄe ÃkkuíkkLkk ¾uíkh{kt Wøkkzu÷k swðkh yLku ½ôLkk WíÃkkËLkLkkuòuz Míkt¼k÷u¾ Lke[u ËþkoÔÞku Au. íkuLkwt rLkheûký fhku yLku íkuLke Lke[u ykÃku÷k «§kuLkk W¥khÃkÞkoÞ{ktÚke þkuÄku.

73. swðkhLkwt MkhkMkhe WíÃkkËLk fux÷wt ?(1) 72 ®õðx÷ (2) 75 ®õðx÷ (3) 77 ®õðx÷ (4) 79 ®õðx÷

74. fÞk ð»kuo swðkh yLku ½ôLkwt WíÃkkËLk Mkh¾wt yLku MkkiÚke ðÄkhu Au ?(1) 2012 (2) 2013 (3) 2014 (4) 2015

75. 2012 ð»kuo ½ôLkwt WíÃkkËLk swðkhLkk WíÃkkËLk fhíkkt fux÷k ®õðx÷ ykuAwt Au ?(1) 10 (2) 15 (3) 20 (4) 25

0411 -A P.T.O.31 of 32


Q.73 to 75 DirectionsThe quantity of Jowar and Wheat produced by Ramrao from the year 2011 to 2015 isshown below in the joint bar graph. Observe it and select the correct alternative toanswer the questions given below.

73. What is the average production of Jowar ?(1) 72 quintal (2) 75 quintal (3) 77 quintal (4) 79 quintal

74. In which year was the yield of Jowar and wheat was equal and the highest ?

(1) 2012 (2) 2013 (3) 2014 (4) 201575. In the year 2012, how much less was the yield of wheat than jowar in quintals ?

(1) 10 (2) 15 (3) 20 (4) 25


0411 -A 32 of 32

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rð¼køk · 2019-05-21 · 0411 -A 2 of 32 P.T.O. Space for Rough Work rð¼køk I «Úk{ ¼k»kk «§ 1 Úke 3 {kxu Mkq[Lkk : Lke[uLkku Vfhku ðkt[e íkuLke Lk e[u ÃkqAu÷k «§kuLkk