SSC-CGL Maths Mains Test Paper - 20 by Hansraj Academy. Hansraj sir unique method of Maths Explanation scores highest marks in Competitive Examinations. Subscribe and Watch maths classes at YouTube Channel.

1. P-1
INSTRUCTIONSTO CANDIDATES
QuantitativeAptitude (100 Questions)
1. In questions set bilingually in English and Hindi, in case of
discrepancy, the English version will prevail.
2. All questions are compulsory and carry equal marks.
3. The paper carries negative marking. 0.50 markswill be deducted
for each wrong answer.
4. Before you start to answer the questions you must check up
this Booklet and ensure that it contains all the pages (1-11)
and see that no page is missing or repeated. If you find any
defect in this Booklet, you must get it replaced immediately.
5. You will be supplied the Answer-Sheet separately by the
Invigilator. You must complete and code the details of Name,
Roll Number and Test Number on Side-I of the Answer-
Sheet carefully. You must also put your signature and Left-
Hand thumb impression on the Answer-Sheet at the prescribed
place before you actually start answering the questions. These
instructions must be fully complied with, failing which, your
Answer-Sheet will not be evaluated and you will be awarded
'ZERO' mark.
6. Answers must be shown by completely blackening the
corresponding ovals on Side-II of the Answer-Sheet against
the relevant question number by Black/Blue Ball-Point Pen
Only. Answers which are not shown by Black/Blue Ball-
Point Pen will not be awarded any mark.
7. Amachine willread the coded information inthe OMRAnswer-
Sheet In case the information is incomplete or different from
the information given in the application form, such candidate
will be awarded ZERO mark.
8. The Answer-Sheet must be handed over to the Invigilator
before you leave the Examination Hall.
9. Answer the questions as quickly and as carefully as you can.
Some questions may be difficult and others easy. Do not spend
too much time on any question.
10. No rough work is to be done on the Answer-Sheet. Space for
rough work has been provided below the questions.
11. "Mobile phone and wireless communication devices, are
completely banned in the examination Halls/rooms. Candidates
are advised not to keep mobile phones/any, other wireless
communication devices with them even switching it off, in
their own interest.
mEehnokjksadsfy, v uqns' k
i fjek.kkRed v fHk#fp ( 100 i z' u)
1. vaxzst hvkSj fgUnhHkk"kkesarS; kj fd, x, f}Hkk"khi z' uksaesadksbZ
fol axfr gksusdhfLFkfr esavaxzst hfooj.kekU; gksxkA
2. l Hkhi z' u vfuok; ZgSarFkkl cdscjkcj vad gSaA
3. i z' u i =kesaudkjkRed vadu gksxkAgj xyr mÙkj dsfy,
0-50 vad dkVkt k, xkA
4. i z' uksadsmÙkj nsusl si gysvki bl i qfLrdkdht kap djdsns[ k
ysafd bl esai wjsi `"B(1-11) gSrFkkdksbZi `"Bde ; knqckjkrks
ughavkx; kgSA; fn vki bl i qfLrdkesadksbZ=kqfVi k, ¡] rks
rRdky bl dscnysnwl jhi qfLrdkysysaA
5. fujh{kd }kjk vki dksmÙkj&i f=kdk vyx l snh t k, xhA
mÙkj&i f=kdk dsSide-I esafu; ekoyh dsvuql kj è; kui woZd
v i ukuke] jksy uEcj v kSj VsLVl a[ ; kvo' ; fy[ ksaAi z' uksa
dsmÙkj okLro esa' kq# djusl si gysmÙkj&i f=kdki j fu/ kZfjr
LFkku esavki vi usgLrk{kj , oack, ¡gkFkesavaxwBsdkfu' kku
Hkhvo' ; yxk, ¡Ami ; qZDr vuqns' kksadki wjhrjg vuqi kyufd; k
t k, ] vU; Fkkvki dhmÙkj&i f=kdkdkst k¡pkughat k, xkvkSj
^' kwU; * vad fn; kt k, xkA
6. mÙkj&i f=kdkesal HkhmÙkj Side-II esai z' u l a[ ; kdsl keusfn; s
x; sl EcfU/ r v.Mkdkj [ kkuksadksdsoydkyk@uhykckWy&i kWbaV
i su l si wjh rjg dkyk djdsfn[ kk, ¡At ksv.Mkdkj [ kkus
dkyk@uhykckWy&i kWbaV i su l sughaHkjst k, ¡xs] mudsfy,
dksbZvad ughafn; kt k, xkA
7. vks-,e-vkj- mÙkj&i f=kdkesaHkjhxbZdwVl wpukdks, d e' khu
i <+sxhA; fn l wpukvi w.kZgSvFkokvkosnu i zi =kesanhxbZl wpuk
l sfHkÂgS] rks,sl svH; FkhZdks' kwU; vad fn; kt k,xkA
8. i jh{kk&Hkou NksM+usl si gysi jh{kkFkhZdksmÙkj&i f=kdkfujh{kd
dsgokysdj nsuhpkfg, A
9. i z' uksadsmÙkj ft ruht Ynhgksl dsrFkkè; kui woZd nsaAdqNi z' u
vkl ku rFkkdqN dfBu gSaAfdl h, d i z' u i j cgqr vf/ d
l e; u yxk, ¡A
10. dksbZji +Qdk; ZmÙkj&i f=kdki j ughadjukgSAji +Qdk; Zdsfy,
LFkku i z' uksadsuhpsfn; kx; kgSA
11. ¶i jh{kkgkyksa@dejksaesaeksckby i Qksu rFkkcsrkj l apkj l k/ u
i wjhrjg fuf"k¼gSaAi zR; kf' k; ksadksmudsi gysfgr esal ykg nh
t krhgSfd eksckby i Qksu@fdl hvu; csrkj l apkj l k/ u dks
fLop vkWi QdjdsHkhvi usi kl ughaj[ ksaA
bl i qfLrdkdhl hy rc rd u [ kksysat c rd dgku t k, A
Read t he following inst ruct ions carefully before you begin t o answer t he quest ions.
This Booklet cont ains quest ions in English as well as in Hindi.
i z' uksadsmÙkj nsusl si gysfuEufyf[ kr v uqns' kksadksè; ku l si <+ysaA
bl i qfLrdkesai z' u v axzst hrFkkfgUnhnksuksaesafn; sx; sgSaA
DO NOT OPEN THE SEALOFTHE BOOKLET UNTILYOUARE TOLDTO DO SO
Tim e Allowed : 2 Hours fu/ kZfjr l e; %2 ?kaVs
Maxim um Marks : 200 v f/ dre v ad %200
SSC MAINS (MATHS) MOCK-2016
TESTPAPER–20

2. P-2
QUANTITATIVEABILITIES / i fjek.kkRed vfHk#fp
1. If 2cosec  =
1
y
y
 , then cot  is equal to
; fn 2cosec  =
1
y
y
 gS] rkscot  cjkcj gksxk
(A)
1 1 1 1
y 1 y
2 y 2 y
                   
(B)
2
2
1 1 1
y y
2 y y
  
      
  
(C)
2
2
1 1
y 1
4 y
 
   
 
(D)
1 1
y
2 y
 
   
 
2. Find the maximum value of the expression
(x2
+ 5x+ 10)–1
.
O; at d (x2
+ 5x + 10)–1
dkvf/ dre eku gksxk&
(A) 10 (B) 5/7
(C) 1 (D) 4/15
3. If 0º <  < 90º, then the value of (sin  + cos ) is
; fn0º <  < 90º gS] rks(sin  + cos ) dkeku&
(A) equal to 1 / 1 dscjkcj gS
(B) greater than 1 / 1 l scM+kgS
(C) less than 1 / 1 l sde gS
(D) equal to 2 / 2 dscjkcj gS
4. If sec2
 –  1 3 tan  + 3 – 1 = 0, then the value
of tan  is
; fnsec2
 –  1 3 tan  + 3 – 1 = 0 gks] rkstan  dk
eku gS&
(A) 0 (B) 3
(C)  1 3 (D)  1 3
5. The base radius and height ofcone are 5 cm and 25 cm
respectively. If the cone is cut parallel to its base at a
height of h and volume of frustrum is 110 cm3
, then
find the smaller radius of frustrum.
fdl h' kadqdhvk/ kj f=kT; krFkkÅ¡pkbZØe' k%5 l sehrFkk
25l sehgSA; fn ' kadqdksml dsvk/ kj dsl ekukarj h Å¡pkbZ
l sdkVfn; kt k, rFkkfNUud dkvk; ru 110 ?ku l sehgS]
rksfNUud dhNksVhf=kT; kKkr dhft , A
(A) 3
120 cm (B) 3
108 cm
(C) 3
129 cm (D) 3
104 cm
6. From a point in the interior of an equilateral triangle,
perpendiculars draw tothe three sides are 16 cm, 25 cm
and 28 cm respectively. Find the area of the triangle.
, d l eckgqf=kHkqt dsvanj fdl hfcUnql s] rhuksaHkqt kvksai j
Mkysx, yEcksadhyackbZØe' k%16 l seh-] 25 l seh- , oa28
l seh- gS] rksml f=kHkqt dk{ks=ki Qy gS&
(A) 1587 3 cm3
(B) 1587 cm3
(C) 2116 3 cm3
(D) 2116 cm3
7. The value of
20of 10% 20of 40% 20of 90%  is
20of 10% 20of 40% 20of 90%  dkeku gS
(A) 0 (B) 10
(C) 5 (D) 20
8. A person bought a certain quantity of rice at the rate
of ` 150 per quintal. 10% of the rice was spoiled. At
what price (per quintal) should be sell the remaining
rice to earn 20% profit ?
, d O; fDr ` 150 i zfr fDoaVy dhnj l sdqNpkoy [ kjhnrk
gSApkoy dk10» cckZn gkst krkgSA' ks"kpkoy fdl Hkko
(i zfr fDoaVy) l scspsfd 20» equki Qkgks&
(A) ` 200 (B) ` 180
(C) ` 225 (D) ` 175
9. A shopkeeper buys 40 bicycles and marks then at 25%
above the cost price. He allows a discount of 10% on
the marked price for cash sale and 5% for credit sale. If
3/4th
of the stock is sold for cash and rest for credit
then his total profit is ` 20250. What is the cost price of
a bicycle?
, d nqdkunkj 40l kbZfdy [ kjhnrkgSvkSj Ø; ewY; l s25%
vf/ d vafdr djrkgSAog udn Hkqxrku i j 10% dhNwV
nsrkgSvkSj m/ kjhHkqxrku i j 5% dhNwVnsrkgSA; fnLVkWd
dk3/4 Hkkx dksuxn Hkqxrku rFkk' ks"kdksm/ kjhHkqxrku i j
csprkgSrc bl rjg ml dkdqy ykHk` 20250gSAl kbZfdy
dkØ; ewY; D; kgS
(A) ` 4000 (B) ` 3500
(C) ` 3200 (D) ` 3600
10. If the difference of compound interest and simple
interest for 3 years at the rate of 5% per annum is `
11.40, then the principal amount is
; fn fdl h/ u ds5» okf"kZd nj l s3 o"kZdspØo`f¼vkSj
l k/ kj.kC; kt esavarj ` 11.40 gks] rksewy/ u gS%
(A) ` 1500 (B) ` 1475
(C) ` 1395 (D) ` 1495

3. P-3
11. Ifin ABC and DEF, A= 50º, B= 70º, C = 60º,
D= 60º, E = 70ºand F = 50º. Which ofthefollow-
ing is correct ?
; fnABC vkSj DEF esaA = 50º, B= 70º, C = 60º,
D = 60º, E = 70º ,oaF = 50º gks] rksfuEufyf[ kr esal s
dkSu l ghgS
(A) ABC~ DEF (B) ABC~ EDF
(C) ABC~ DFE (D) ABC~ FED
12. The number of sides in a regular polygon is 10. Its
each interior angle is
, d l ecgqHkqt esaHkqt kvksadhl a[ ; k10 gS] rksml dsi zR; sd
var%dks.kdkeku gS
(A) 36º (B) 72º
(C) 144º (D) 90º
13. A chord of a cricle of radius 6 cm makes an angles of
60º at the centre. Area of the minor sector made by
the chord is
, d t hok] 6 l seh- f=kT; kdso`ÙkdsdsUnzi j 60º dkdks.k
cukrhgSAt hok}kjkfufeZr y?kqo`Ùk[ kaMdk{ks=ki Qy gS
(A) 3 3 2 3 sq. cm. (B) 3 3 3 3 sq. cm.
(C) 3 2 3 3 sq. cm. (D) 3 3 3 sq. cm.
14. A person ordered 4 shirts of brand A and some shirts
of brand B. The price of one shirt of brandA was twice
that of brand B. When the order was executed, it was
found that the numbers of the two brands has been
interchanged. This increased the bill by40%. The ratio
of the number of brand A shirts to that of brand B
shirts in the original order was
, d O; fDr czk¡MA ds4 deht vkSj czk¡MB dsdqN deht
nqdku l se¡xokrkgSAczk¡MA dsi zR; sd deht dkewY; czk¡M
B dsi zR; sd deht dsewY; dknqxqukgSAt c deht s?kj vk; h
rks; si k; kx; kfd nksuksaczk¡Mksadsdeht ksadhl a[ ; kvki l esa
cny xbZgSaAi fj.kkeLo: i ] deht ksadhdqy dher 40» c<+
xbZ] rksczk¡MA , oaczk¡MB dhewy l a[ ; kdkvuqi kr gS&
(A) 1: 2 (B) 1: 3
(C) 1: 4 (D) 1: 5
15. 4/5th of thevotersinAmethi promised tovote for Rahul
Gandhi and the rest promised tovote for Varun Gandhi.
Of these voters, 10% of the voters who had promised
to vote for Rahul Gandhi, did not vote on the election
day, while 20% of the voters who had promised tovote
for Varun Gandhi did not vote on the election day.
What is the total number ofvotespolledif Rahul Gandhi
got 216 votes ?
vesBhdsdqy ernkrkvksaesal s4/5 ernkrkvkasusjkgqy xka/ h
dkser nsusdkopu fn; krFkk' ks"kyksxksauso: .kxka/ hdks
er nsusdkAjkgqy xka/ hdksopu nsusokyksaesal s10» yksxksa
usvi usernkudksi z; ksx ghughafd; kt cfd o: .kxka/ hdks
opu nsusokysyksxksaesal s20» yksxksausvi usernkudki z; ksx
ughafd; kA; fnjkgqy xka/ hdksdqy 216er i zkIr gq, rksdqy
fdrusyksxksausernku fd; k
(A) 200 (B) 300
(C) 264 (D) 100
16. Two dealers A and B selling the same model of fan
mark them under the same selling price. A gives
successive discounts of 5% and 25% and B gives
successive discounts of 16% and 12%. From whom is
it more profitable to purchase the fan ?
nksfoØsrkA , oaB, d ghekWMy dsi a[ kscsp jgsgSvkSj nksuksa
usi a[ kkasi j foØ; ewY; Hkhl eku vafdr dj j[ kkgSAAi a[ ks
i j 5» , oa25» dsØfed cV~VsnsrkgS,oaB, 16» rFkk12»
dsnksØfed cV~VsnsrkgSrks; g crkb, fd fdl l si a[ ks
[ kjhnukykHki zn gksxk
(A) From B / B l s
(B) From A/ Al s
(C) Indifferent between the two / dksbZvarj ugha
(D) Cannot be determined / Kkr ughafd; kt kl drk
17. The value of
7
16 6 7 16 6 7  
7
16 6 7 16 6 7  
dkeku gS
(A) 1/2 (B) 2
(C) 1/4 (D) 3/2
18. A rectangular circuit board is designed to have width
w cm, perimeter p cm and area k sq. cm. Of the
following, the equation which must be true is
, d vk; rkdkj i fji Fk&cksMZ] w l sehpkSM+kbZ] P l sehi fjeki
vkSj k oxZl seh{ks=ki Qy dkcuk; kx; kgSArn~uql kj] fuEu esa
l sdkSu l kl ehdj.kml dsfy, l ghgS
(A) 2w2
– pw – 2k = 0 (B) 2w2
– pw + 2k = 0
(C) w2
– pw + 2k = 0 (D) 2w2
+ pw + 2k = 0
19. The area of the square inscribed in a circle of radius 8
cm is
8 l sehf=kT; kokyso`ÙkdsvUnj cusoxZdk{ks=ki Qy gS
(A) 256 sq. cm (B) 250 sq. cm
(C) 128 sq. cm (D) 125 sq. cm
20. The ratio in which Darjeeling tea at ` 32 per kg, is
mixed with Assam tea at ` 25 per kg so as to gain 20%
byselling the mixture at ` 32.40 per kg, is
` 32 i zfr fdxzkdher okyhnkt Zfyax pk; dks` 25 i zfr fdxzk
dher okysvkl ke pk; dsl kFkfdl vuqi kr esafeyk; kt k,
fd feJ.kdks` 32.40 i zfr fdxzkdher i j cspusl s20» dk
ykHkgks
(A) 2: 5 (B) 5: 2
(C) 1 : 5 (D) 5 : 1

4. P-4
21. Difference of two numbers is 1660. If
1
6
2
% of one
number is equal to
1
8
2
% of the other number, the
smaller number is
nksl a[ ; kvksadkvarj 1660 gSA; fn i gyhl a[ ; kdk
1
6
2
%
nwl jhl a[ ; kds
1
8
2
% dscjkcj gS] rksNksVhl a[ ; kgS
(A) 7055 (B) 5395
(C) 3735 (D) 2075
22. The compound interest on a certain sum for 2 years is
` 105 and simple interest is ` 100. The rate of interest
per annum and the sum are
, d jkf' ki j 2 o"kksaZdkpØo`f¼ C; kt , oal k/ kj.kC; kt
Øe' k%` 105 rFkk` 100 gSrksi zfro"kZC; kt dhnj , oaog
jkf' kgS
(A) 10%, ` 500 (B) 10%, `1000
(C) 20%, `1000 (D) None of these
23. A tradesman gives 4% discount on the marked price
and gives 1 article free for buying every15 article and
thus gains 35%. The marked price is increased above
the cost price by
, d O; ki kjhoLrqdsvafdr ewY; i j 4» dhNwVnsrkgSvkSj
l kFkghl kFki zR; sd 15oLrqdh[ kjhni j 1oLrqeqÝr esansrk
gSvkSj i QyLo: i 35» dkykHkv£t r djrkgSrksml oLrq
dkvafdr ewY; ml dsØ; ewY; l sfdrukvf/ d gS
(A) 40% (B) 39%
(C) 50% (D) 20%
24. CD is direct common tangent totwo circles intersecting
each other atA and B. The CAD + CBD is equal to
fn, x, fp=kesaCD mu nkso`Ùkksadk, dl eku Li ' kZT; kgSt ks
, d nwl jsdksA rFkkB i j i zfrPNsn djrsgSarksCAD +
CBD dkeku gS
DC
A
B
(A) 180º (B) 90º
(C) 360º (D) 120º
25. If sin+ cos= 1, then sincosis equal to
; fnsin+ cos= 1, rkssincosfdl dscjkcj gS
(A) 0 (B) 1
(C) 2 (D) – 1
26. The parallel chords of a circle whose diameter is 13 cm
are respectively 5 cm and 12 cm in length. If both the
chords lie in a semi circle then the distance between
them is
, d 13l sehO; kl okys, d o`Ùkdsnksl ekukUrj t hokvksadh
yackbZ; ka5 l seh, oa12 l sehgSaA; fn nksuksat hok, a, d gh
v¼Zo`Ùkesagksa] rksmudschp dhnwjhgS
(A) 8.5cm (B) 5cm
(C) 3.5cm (D) 3cm
27. The bowling average of a cricketer was 12.4. He
improves his bowling average by 0.2 points when he
takes 4 wickets for 26runs in hislast match. Thenumber
of wickets taken by him before the match was
, d xsanckt dhxsanckt hdkvkSl r 12-4FkkAfi Nyseqdkcys
esa26ju nsdj 4fodsVysusl sml dsvkSl r esa0-2vadksdk
l q/ kj gqvkrksfi Nyseqdkcysl si gysml ds}kjkfy, x,
dqy fodsVksadhl a[ ; kFkh
(A) 125 (B) 150
(C) 175 (D) 114
28. A box has 210 coins of denominations ` 1 and fifty
paise only. The ratio of their respective values is 13 :
11. The number of one rupee coins is
, d cDl sesa` 1 , oa50 i Sl sewY; okysdqy 210 fl DdsgSa
,oamudsdqy ewY; ksadkvuqi kr Øe' k%13 : 11 gSrks` 1okys
fl Ddksadhdqy l a[ ; kgS
(A) 65 (B) 66
(C) 77 (D) 78
29. A man leaves ` 8600 to be divided among 5 sons, 4
daughters and 2 nephews. If each daughter receives
four times as much as each nephew, and each son
receives five times as much as each nephew, howmuch
does each daughter receive ?
, d O; fDr vi us5i q=kksa] 4i qf=k; ksa, oa2Hkrht ksadschp ckaVus
gsrq` 8600 NksM+t krkgSA; fn i zR; sd i q=khdksi zR; sd Hkrht s
dh4xq.khjkf' ki zkIr gksrhgSvkSj i zR; sd i q=kdksi zR; sd Hkrht s
dh5 xq.khjkf' ki zkIr gksrhgSrksi zR; sd i q=khdksi zkIr gksus
okyhjkf' kgS
(A) ` 100 (B) ` 600
(C) ` 800 (D) ` 1000
30. While selling a shirt, a shopkeeper gives a discount of
7%. If he had given a discount of 9%, he would have
got ` 15 less as profit. The marked price of the shirt is
, d nqdkunkj deht i j 7» dhNwVnsrkgSAvxj og 9» dh
NwVnsrkgS] rksml s` 15 de ykHki zkIr gksrkgSAdeht dk
vafdr ewY; gS
(A) ` 750 (B) ` 720
(C) `712.50 (D) ` 600
31. A businessman sells a commodity at 10% profit. If he
had bought it at 10% less and sold it for ` 2 less, then
he would have gained
2
16
3
%. The cost price of the
commodityis
, d O; ki kjh,d oLrqdks10» ykHki j csprkgSA; fnogbl s
10» de dher i j [ kjhnrkvkSj ` 2 de dher i j csprk]
rksml s 2
16
3
% dkykHki zkIr gksrk] rksml oLrqdkØ; ewY;
gS
(A) ` 32 (B) ` 36
(C) ` 40 (D) ` 48

5. P-5
32. The value of
1
1
x
 
  
 
1
1
x 1
 
  
 
1
1
x 2
 
  
 
1
1
x 3
 
  
 
is
1
1
x
 
  
 
1
1
x 1
 
  
 
1
1
x 2
 
  
 
1
1
x 3
 
  
 
dkeku gS
(A)
1
1
x 4


(B) x+4
(C)
1
x
(D)
x 4
x

33. If a =  
3
3 2

 and b =  
3
3 2

 , then the
value of (a + b)–1
+ (b + 1)–1
is
; fna =  
3
3 2

 vkSj b =  
3
3 2

 , (a + b)–1
+
(b + 1)–1
dkeku gksxk
(A) 50 3 (B) 40 2
(C) 1 (D) 5
34. The price of 2 sarees and 4 shirts is ` 1600. With the
same money one can buy 1 saree and 6 shirts. If one
wants to buy 12 shirts, how much shall one have to
pay ?
nksl kM+h,oa4deht dhdqy dher ` 1600 gSAmrusgh: i ; s
esa1 l kM+h, oa6 deht [ kjhnht kl drhgSA; fn dqy 12
deht [ kjhnuhgks] rksfdrus: i ; syxsaxs
(A) ` 2400 (B) ` 4800
(C) ` 1200 (D) ` 13500
35. The Value of 2 (sin6
+ cos6
) – 3 (sin4
+ cos4
) + 1 is
2 (sin6
+ cos6
) – 3 (sin4
+ cos4
) + 1 dkeku gS
(A) 4 (B) 0
(C) 1 (D) 2
36. A tower subtends an angle  at a point A in the plane
of its base and the angle of depression of the foot of
the tower at a point b meters, just above A is , then
the height of the tower is
, d ehukj vi usvk/ kj dsl ery i j dsfdl hfcanqA i j 
dks.kcukrhgSvkSj ehukj dsvk/ kj dkvou; u dks.kml
fcanqA l s'b' ehVj Bhd mQi j ds, d fcanql sdks.kgS] rks
ehukj dhmQapkbZgS
(A) b tan tan  (B) b cot cos 
(C) b tan cos  (D) b tan cot 
37. In the adjoiningfigure,AB, EF andCDare parallel lines.
Given that EG = 5cm, GC = 10cm and DC = 18cm, then
EF is equal to
nhxbZvkÑfr esa] AB, EF vkSj CD l ekarj js[ kk, agSaAfn; kgS
EG= 5cm, GC= 10cmvkSjDC = 18cm, rksEFfdl dscjkcj
gS
CB
A
DE
G
F
(A) 11cm (B) 5cm
(C) 6 cm (D) 9 cm
38. A woman sells to the first customer half her stock of
apples and half an apple, to the second customer half
an apple, and half of her remaining stock and so also
to a third and to a fourth customer. She finds that she
has now 15 apples left. How many had she at first ?
, d efgykvi us, d xzkgd dksl sc dkvk/ kLVkWd vkSj
vk/ sl sc csprhgS] nwl jsxzkgd dksvk/ sl sc vkSj vi uscps
gq, LVkWd dksvk/ kcsprhgSvkSj rhl jsrFkkpkSFksxzkgd dks
Hkh, sl sghAvar esaml usns[ kkfd vc ml dsi kl 15l sc cps
gSaAvr%vkjaHkeasml dsi kl fdrusl sc Fks
(A) 250 (B) 155
(C) 125 (D) 255
39. The least five-digit perfect square number which is
divisible by3, 4, 5, 6 and 8 is
3] 4] 5] 6 rFkk8 l sfoHkkT; i kap vadksadhU; wure i w.kZoxZ
l a[ ; kgS
(A) 14400 (B) 32400
(C) 10800 (D) 10201
40. In a factory, there are equal number of women and
children. Women work for 6 hr a dayand children for 4
hr a day. During festival time, the work load goes up
by50%. The government rule does not allow children
to work for more than 6 hr a day. If they are equally
efficient and the extra work is done by women, then
extra hours of work put in by women every day are
, d i SQDVjhesa] efgykvksavkSj cPpksadhcjkcj l a[ ; kgSA
efgyk, a, d fnu esa6?kaVsdke djrhgSavkSj cPps, d fnu
esa4?kaVsdke djrsgSaAmRl o dsl e; dke dkHkkj 50» c<+
t krkgSAl jdkj fu; e cPpksadks, d fnu esa6 ?kaVsl svf/
d dke djusdhvuqefr ughansrkA; fn mudhdq' kyrk
cjkcj gksvkSj vfrfjDr dk; Zefgykvksa}kjkfd; kt k, ] rks
efgykvksa}kjki zfrfnu fdrus?kaVksadksvfrfjDr l e; yxk; k
x; k
(A) 5 (B) 3
(C) 4 (D) 9

6. P-6
41. Brothers A and B had some savings in the ratio 4 : 5.
They decided to buy a gift for their sister, sharing the
cost in the ratio 3 : 4. After they bought, A spent two-
third of his amount while B is left with ` 145. Then, the
value of the gift is
A rFkkB Hkkb; ksaus4 : 5 dsvuqi kr esadqN cprsadhaAmUgksaus
vi uhcgu dsfy, , d mi gkj [ kjhnusdkfu.kZ; fy; k]
ft l dhdher 3 : 4 vuqi kr esackaVyhAbl [ kjhndsckn A
us] vi uhjkf' kdk2@3Hkkx [ kpZdj fn; k] t cfd B dsi kl
` 145 cp x,Arn~uql kj] ml mi gkj dhdher D; kFkh
(A) ` 70 (B) ` 105
(C) ` 140 (D) ` 175
42. The taxi charges in a city contain fixed charges and
additional charge/km. The fixedcharge is for a distance
of upto 5 km and additional charge/km thereafter. The
charge for a distance of 10 km is ` 350 and for 25 km
is ` 800. The charge for a distance for distance of 30
kmis
fdl h' kgj esaVSDl hdqNfu; r HkkM+kvkSj vfrfjDr HkkM+k@fdeh-
ysrhgSAfu; r HkkM+k5fdeh; kbl l sde nwjhdh; k=kdsfy,
gSvkSj ml dscknvfrfjDr HkkM+k@fdehgSArn~uql kj] 10fdeh
dhnwjhdsfy, HkkM+k` 350 gSvkSj 25 fdehdsfy, ` 800
gSAvr%30 fdehdsfy, fdrukHkkM+kyxsxk
(A) ` 800 (B) ` 750
(C) ` 900 (D) ` 950
43. The average of the test scores of a class of 'm' students
is 70 and that of 'n' students is 91. When the scores of
both the classes are combined, the average is 80. What
is n/m ?
'm' Nk=kksadh, d d{kkdhi jh{kkdsi zkIrkadksadkvkSl r 70
gSvkSj 'n' Nk=kksadk91 gSA; fn nksuksad{kkvksadsi zkIrkadksadks
feykfn; kt k, ] rksvkSl r 80 gSAn/m D; kgS
(A) 11/10 (B) 13/10
(C) 10/11 (D) 10/11
44. The marks of 3 studentsA, B and C are in the ratio
10 : 12 : 15. If the maximum marks of the paper are
100, then the marks of B cannot be in the range of
rhu Nk=kksaA, B vkSj C dsvad 10 : 12 : 15 dsvuqi kr esagSaA
; fni z' u&i =kdsvf/ dre vad 100gSa] rksB dsvad fuEu
esal sfdl oxZesaughagksl drs
(A) 20– 30 (B) 40– 50
(C) 70– 80 (D) 80– 90
45. If x =
5 1
5 1


, then x2
– x – 1 is equal to
; fnx =
5 1
5 1


gS] rksx2
– x – 1 dkeku gS
(A) 0 (B) 1
(C) 2 (D) 5
46. If x +
a
x
= 1, then the value of
2
3 2
x x a
x x
 

is
; fnx +
a
x
= 1, rks
2
3 2
x x a
x x
 

dkeku gksxk
(A) – 2 (B)
a
2

(C)
2
a
(D)
2
a

47. Iftheexpressionx+809436× 809438bea perfect square,
then the value of x is
; fnO; at d x + 809436 × 809438 ,d i w.kZoxZgS] rksx dkeku
gS
(A) 0 (B) 1
(C) 809436 (D) 809438
48. A leak was found in a ship when it was 77 km from the
shore. It was found that the leak admits 2.25 tones of
water in 5.5 min. 92 tones of water will be sufficient to
sink the ship. But the pumps can throw out 12 tones an
hour. Find the average rate of sailing at which the ship
may reach the shore as it begin to sink.
l eqnzrVl svHkhHkh77fdehnwj , d i kuhdst gkt dsryh
esa, d Nsn gksx; kft l l sgksdj i zfr 5-5 feuVesa 2-25
Vu i kuht gkt dsvanj vkjgkgSAt gkt dksl eqnzesaMqcksus
gsrq92 Vu t y dhek=kki ; kZIr gSA; fn i ai ds}kjki zfr ?kaVk
12Vut y dhfudkl hdht kjghgS] rkst gkt dhxfr D; k
gksuhpkfg, rkfd og Mwcuk' kq: gksusl si gysl eqnzrVrd
i gqap t k,
(A) 10.5km/hr (B) 14.5km/hr
(C) 9.75km/hr (D) 13km/hr
49. A man moves 2x km East from his residence and
then moves x km North. He then goes x km North-East
and finally he takes a turn of 90º towards right and
moves a distance x km and reaches his office. What is
the shortest distance of the office from his residence ?
, d O; fDr vi us?kj l s 2x fdehi woZfn' kkdhvksj pyrk
gSvkSj fi Qj x fdehmÙkj fn' kkdhvksjAogkal sog mÙkj&i woZ
fn' kkesax fdehpyrkgSvkSj var esank; havksj 90º eqM+dj x
fdehvksj pyrkgSvkSj varr%vi usdk; kZy; i gqaprkgSA
ml ds?kj l sdk; kZy; dhU; wure nwjhgS
(A)  2 2 1 xkm (B) 3xkm
(C) 2 2 xkm (D) 3 2x km

7. P-7
50. In what ratio does the point (– 4, 6) divides the line
segment joining the points A(– 6, 10) and B(3, – 8) ?
fcUnq(– 4, 6) fcUnqvksaA(– 6, 10) rFkkB(3, – 8) dkst ksM+usokys
js[ kk[ k.Mdksfdl vuqi kr esafoHkkft r djrkgS
(A) 1: 7 (B) 2: 7
(C) 7: 1 (D) 7: 1
51. Side QR of PQRis produced to point S. If the interior
bisectors of PQRand exterior bisector of PRS meet
at point T. Then which of the following is true ?
PQR dhHkqt kQR dksfcUnqS rd c<+k; kt krkgSA; fn
PQR dsvkarfjd vkSj PRS dscká l ef}Hkkt d fcUnqT
i j feyrhgS] rksfuEufyf[ kr esal sdkSu l R; gS
(A) QTR= 2QPR (B) QTR=
1
2
QPR
(C) QTR = 3QPR (D) QTR =
1
3
QPR
52. BLand CM are medians of a triangleABC right angled
at A. Then 4(BL2
+ CM2
) is equal to
BL vkSj CM , d l edks.kf=kHkqt ABC dhekfè; dk, agSarFkk
bl f=kHkqt dkdks.kA l edks.kgSrks4(BL2
+ CM2
) cjkcj gS
(A) 2BC2
(B) 3BC2
(C) 4BC2
(D) 5BC2
53. Fresh fruit contains 68% water and dry fruit contains
20% water. How much dry fruit can be obtained from
100 kg of fresh fruits ?
rkt si Qy esai kuhdhek=kk68» rFkkl w[ ksi Qyksaesa20» gSA
100 fdxzkrkt si Qyksal sfdrukl w[ kki Qy i zkIr fd; kt k
l drkgS
(A) 32kg (B) 40kg
(C) 52 kg (D) 80 kg
54. Two numbers are such that their difference, their sum
and their product are in the ratio of 1 : 7 : 24. The
product of the numbers is
nksl a[ ; k, a, sl hgSafd mudkvarj] mudk; ksx rFkkmudk
xq.kui Qy Øe' k%1 : 7 : 24 dsvuqi kr esagSaAl a[ ; kvksadk
xq.kui Qy gS
(A) 24 (B) 36
(C) 48 (D) 60
55. A merchant has announced 25% rebate on prices of
ready-made garments at the time of sale. If a purchaser
needs to have a rebate of ` 400, then how manyshirts,
each costing ` 320, should be purchase ?
fdl hO; ki kjhusfcØhdsl e; fl ys&fl yk, oL=kksadsewY; ksa
i j 25» dhNwVnsusdh?kks"k.kkdhgSA; fndksbZ[ kjhnkj ` 400
dhNwVysukpkgrkgks, rksml s` 320 ewY; okyhfdruhdeht sa
[ kjhnuhgksaxh
(A) 10 (B) 7
(C) 6 (D) 5
56. A man rides at the rate of 350 metres per minute and
stops 6 minutes to change horses at the end of every
kilometre. Then to travel a distance of 84 km, the time
taken by the man is
, d O; fDr 350ehVj i zfr feuVdhxfr l s?kqM+l okjhdjrk
gSvkSj i zR; sd Ng fdyksehVj cknvi uk?kksM+kcnyusdsfy,
6 feuV: d t krkgSArn~uql kj ml O; fDr dks84 fdehdh
nwjhrd t kusesadqy fdrukl e; yxsxk
(A) 3hr. 15min (B) 6hr. 17min
(C) 5hr. 18min (D) 2hr. 17min
57. The value of cos10º – sin10º is
cos10º – sin10º dkeku gS
(A) Positive / / ukRed (B) Negative / Í .kkRed
(C) 0 (D) 1
58. In the given figure, L is any point on the bisector of
the acute angle ABC and the line ML is parallel to
BC. Which one of the following is correct ?
fn, x, fp=kesa] U; wudks.kABC dsf}Hkkt d i j dksbZfcUnqL
gSvkSj js[ kkML, BC dsl ekUrj gSAfuEufyf[ kr esal sdkSu
l k, d l ghgS
A
B C
M L
(A) The BML is equilateral
BML l eckgqgS
(B) The BML is isosceles but right angled
BML l ef}ckgqgSvkSj l edks.kh; gS
(C) The BML is isosceles but not right angled
BML l ef}ckgqgSfdarql edks.kh; ughagS
(D) The BML is not isosceles
BML l ef}ckgqughagS
59. In the given figure,ABis a diameter of a circle and CD
is perpendicular toAB, if AB = 10cm and AE = 2cm,
then what is the length of ED ?
nhxbZvkÑfr esa, AB o`Ùkdk O; kl gSvkSj CD, AB i j
yEcor~gSAvxj AB = 10cm vkSj AE = 2cm gS] rksED dh
yackbZD; kgS
A
E
C
D
O B
(A) 5 cm (B) 4 cm
(C) 10 cm (D) 20 cm

8. P-8
60. The sum of the areas of the 10 squares, the lengths of
whosesidesare 20cm, 21cm,..............29 cm respectively
is
mu 10 oxksaZ] ft udhHkqt kvksadhyackbZ; kaØe' k%20cm,
21m,..............29 cm gSa] ds{ks=ki Qyksadk; ksx gS
(A) 6085cm2
(B) 8555cm2
(C) 2470cm2
(D) 11025cm2
61. If the length of a rectangle is increased in the ratio
6 : 7 and its breadth is diminished in the ratio 5 : 4
then its area will be diminished in the ratio.
; fn fdl hvk; r dhyackbZesa6 : 7 dsvuqi kr esao`f¼rFkk
ml dhpkSM+kbZesa5 : 4 dsvuqi kr esadehgkst k, ] rksml ds
{ks=ki Qy esafdl vuqi kr esadehgkst k, xh
(A) 17: 16 (B) 15: 14
(C) 9 : 8 (D) 8 : 7
62. A solution of sugar syrup has 15% sugar. Another
solution has 5% sugar. How many litres of the second
solution must be added to 20 litres of the first solution
to make a solution of 10% sugar ?
phuhds, d ?kksy esa15» phuhgSrFkk, d nwl jh?kksy esa5»
phuhgSAnwl js?kksy dsfdrusyhVj dksi gys?kksy ds20yhVj
dsl kFkfeyk; kt k, fd fefJr ?kksy esa10» phuhgks
(A) 5 litres (B) 20 litres
(C) 16 litres (D) 12 litres
63. A person lent out a certain sum on S.I. and the same
sum on C.I. at a certain rate of interest p.a. He noticed
that the ratio between the difference of C.I. and S.I. in
3 yrs. is respectively 25 : 8. The rate of interest is
, d O; fDr dqN : i ; sl k/ kj.kC; kt i j rFkkmrusgh: i ; s
pØo`f¼C; kt i j fdl hfuf' pr ok£"kd nj l sm/ kj nsrkgSA
og pØo`f¼C; kt rFkkl k/ kj.kC; kt dsvarj dkvuqi kr
3 o"kksaZesarFkk2 Ok"kksaZesaØe' k25 : 8 i krkgSAC; kt dhnj gS
(A) 25% (B) 12
1
2
%
(C) 16.6% (D) 20%
64. Two numbers A and B are such that their Geometric
mean is 20% less than their Arithmetic mean. Find the
ratio between the numbers.
nksl a[ ; k, aA rFkkB bl i zdkj gSfd mudkxq.kksÙkj ekè;
l ekarj ekè; l s20» de gSAnksuksal a[ ; kvksadschp vuqi kr
fudkysaA
(A) 1: 4 (B) 1: 9
(C) 2: 3 (D) 3: 2
65. In a company there are 75% skilled workers and
remaining are unskilled. 80% of skilled workers and
20% ofunskilled workers are permanent. If the number
of temporary workers is 126, then what is the number
of total workers ?
, d dai uhesa75» dq' ky Jfed gSarFkk' ks"kl k/ kj.kJfed
gS] dq' ky Jfed dk80» rFkkl k/ kj.kJfed dk20» LFkk; h
gSA; fnvLFkk; hJfedksadhl a[ ; k126gS] rksdqy Jfedksadh
l a[ ; kD; kgS
(A) 315 (B) 360
(C) 378 (D) 270
66. Six pipes are fitted to a water tank. Some of these are
filling pipes, others are emptying pipes. Each filling
pipes can fill the tank in 9 hrs and each waste pipe can
emptythe tank in 6 hrs. On opening all the pipes in the
emptytank is filled in 9 hrs. Find the no. of filling pipes
?
, d i kuhdhVadhdsl kFk6 uy t qM+sagq, gSaAbuesal sdqN
i kuhHkjusokysrFkk' ks"ki kuh[ kkyhdjusokysuy gSaA; fn
i zR; sd i kuhHkjusokykuy Vadhdks9 ?kaVseasHkjrkgSvkSj
i zR; sd [ kkyhdjusokykuy bl s6 ?kaVksaeas[ kkyhdj l drk
gSA; fn [ kkyhVadhesayxsl Hkhuyksadks[ kksy nsrksosl Hkh
bl s9?kaVsesaHkjrsgSaAi kuhHkjusokysuyksadhl a[ ; kKkr djsaA
(A) 4 (B) 5
(C) 3 (D) 1
67. A man, a woman or a boy can do a job in 20 days, 30
days or 60 days respectively. How many boys must
assist 2 men and 8 women to do the work in 2 days ?
, d vkneh] ,d vkSjr ; k,d yM+dkfdl hdke dks20] 30
; k60 fnuksaesaØe' k%i wjkdj l drsgSaAnksvknehvkSj vkB
vkSjrksa}kjkml dkdke dksnksfnuksaesai wjkdjusdsfy,
fdrusyM+dksadhl gk; rkysuhgksxh
(A) 10 boys (B) 16 boys
(C) 18 boys (D) 8 boys
68. Gold is 19 times as heavy as water and copper 9 times
as heavy as water. The ratio in which these two metals
be mixed so that the mixture is 15 times as heavy as
water is
l ksuki kuhl s19 xq.kkHkkjhgSvkSj rkacki kuhl s9 xq.kkHkkjh
gSAfdl vuqi kr esanksuksa/ krqvksadksfeyk; kt k, fd mudk
Hkkj i kuhdsHkkj dk15 xq.kkgks
(A) 2: 3 (B) 3: 2
(C) 1: 2 (D) 4: 3
69. In the given figure,ABCDis a rectanglewhereAE = EF
= FB, then the ratio of the areas of CEF and the rect-
angle will be
nhxbZvkÑfr esa, ABCD , d vk; r gSAt gkaAE = EF = FB
gS] rksCEF rFkkvk; r ds{ks=ki Qyksadkvuqi kr gksxk
A E F B
CD
(A) 1: 4 (B) 1: 6
(C) 2: 5 (D) 2: 3

9. P-9
70. ABCD is such a trapezium, in which AB = CD and
ADBC. AlsoAD = 5 cm and BC = 9 cm, if the area of
ABCD is 35 cm2
then what will be the length of CD ?
ABCD , d , sl kl eyac prqHkqZt gS] ft l esaAB = CD rFkk
ADBC vkSj AD = 5 cm rFkkBC = 9 cm gSaArn~uql kj] ; fn
ABCD dk{ks=ki Qy 35 cm2
gks] rksCD dhyackbZfdruhgksxh
(A) 29 cm (B) 5cm
(C) 6cm (D) 21 cm
71. The expression 2 2 2 2cos8    is equal to
what ?
O; at d 2 2 2 2cos8    fdl dscjkcj gS
(A) 2 sin (B) 2 cos
(C) sin 2 (D) cos 2
72. The volume of a cuboid is 1120 cm3
and its height is 5
cm while the length and the breadth of the cuboid are
in the ratio 8 : 7. The length of this cuboid exceeds the
breadth by
, d ?kukHkdkvk; ru 1120cm3
vkSj bl dhmQapkbZ5 l seh
gSt cfd ?kukHkdhyackbZvkSj pkSM+kbZdkvuqi kr 8 : 7 gSAbl
?kukHkdhyackbZ] pkSM+kbZl sfdrukvf/ d gS
(A) 2cm (B) 4cm
(C) 7cm (D) 5cm
73. The length of a string between a kite and a point on
the ground is 90 m. The string makes an angle of 60º
with the level ground. Assuming that there is no slack
in the string, the height of the kite is
, d i rax vkSj / jkry i j fLFkr , d fcUnqdschp / kxsadh
yackbZ90 m gSA/ kxs/ jkry l s60º dkdks.kcukrkgS] eku
fy; kt k, fd / kxsesadksbZf<ykbZughagS] rksi rax dhmQapkbZgS
(A) 45 3 m (B)
45
3
m
(C) 50 3 m (D)
50
3
m
74. If un
= cosn
+ sinn
, then howmuch will 2u6
– 3u4
+ 1is
; fnun
= cosn
 + sinn
gks, rks2u6
– 3u4
+ 1 dkeku gksxk
(A) 1 (B) 4
(C) 6 (D) 0
75. What will be the area of thetrapezium formed byx-axis,
y-axisand thelines3x+ 4y= 12 and6x+ 8y= 60?
x-v{k, y-v{krFkk3x + 4y = 12 vkSj 6x + 8y = 60 l jy
js[ kkvksal scu l eyac prqHkqZt dk{ks=ki Qy fdrukgksxk
(A) 31.5 sq. units (B) 48 sq. units
(C) 36.5 sq. units (D) 37.5 sq. units
76. What is the value of 'P', if 42P
=
1
16
?
'P' dkeku D; kgS] ; fn 42P
=
1
16
?
(A) – 2 (B) – 1
(C) 1 (D) 2
77. The sum of all prime numbers between 20 and 60 is
20 vkSj 60 dschp l HkhvHkkT; l a[ ; kvksadk; ksxi Qy gS
(A) 320 (B) 326
(C) 357 (D) 363
78. X can do a piece of work in 6 days, while X and Y
together can complete it in 1
1
2
days. How long will Y
alone take to complete ?
X , d dke dks6 fnu esadj l drkgS] t cfd X vkSj Y
feydj ml s1
1
2
fnuesai wjkdj l drsgSaAY vdsykml dke
dksi wjkdjusdsfy, fdrukl e; ysxk
(A) 2 days (B) 4 days
(C)
1
4
2
days (D) 3 days
79. 8 men can dig a pit in 20 days. If a man works half as
much again as a boy, then 4 men and 9 boys can dig a
similar pit in
8vkneh,d xM~<+k20fnuesa[ kksnl drsgSaA; fn,d vkneh
, d yM+dsl svk/ kdke vf/ d djrkgSrks4 vknehvkSj
9 yM+dsml hxM~<sdksfdrusfnu esa[ kksnsaxs
(A) 15 days (B) 10 days
(C) 12 days (D) 16 days
80. A group of students planned tocomplete a construction
work in 60 days. Out of them 5 students could not
come and the work was completed in 80 days. The
total number of students in the beginning is
Nk=kksads, d l ewg us, d fuekZ.kdk; Z60 fnu esai wjkdjus
dh; kst ukcukbZAmuesal s5 Nk=kughavki k, vkSj dke 80
fnu esai wjkgqvkAvkjaHkeasNk=kksadhdqy l a[ ; kgS
(A) 25 (B) 35
(C) 20 (D) 15
81. The difference between the interior and exterior angles
of a regular polygon is 120º. The number of sides of
polygon is
, d l e cgqHkqt dsHkhrjhvkSj ckã dks.kksadschp 120º dk
varj gSAcgqHkqt dhHkqt kvksadhl a[ ; kgS
(A) 18 (B) 12
(C) 8 (D) 16

10. P-10
82. On the top ofa cubical box a pyramid is placed, base of
the pyramid being thesameas the top ofthe box. Height
of the pyramid is twice the height of the box. The ratio
of the volume of the combined body to that of the box
is
, d ?kukdkj l anwd dsf' k[ kj i j , d l wphLrEHk(fi jkfeM)
j[ kkx; kgS] l wphLrEHkdkvk/ kj oghgSt ksl anwd dsf' k[ kj
dkgSAl wphLrEHkdhmQapkbZl anwd dhmQapkbZl snksxq.kkgSA
fefJr fudk; dsvk; ru vkSj l anwd dsvk; ru dkvuqi kr
gS
(A)
4
3
(B)
5
3
(C)
5
4
(D)
8
5
83. If the ratio of area of curved surface and its circular
base of a right circular cone is 5 : 1 and h and r are
the height and radius of the base of the cone, then the
ratioof h : r will be
; fnfdl hyac o`Ùkkdkj ' kadqdsoØi `"BvkSj ml dso`Ùkkdkj
vk/ kj ds{ks=ki Qy dkvuqi kr 5 : 1 gSvkSj h rFkkr ' kadqds
vk/ kj dhmQapkbZrFkkf=kT; kgS] rksh : r dkvuqi kr gksxk
(A) 1: 2 (B) 5 : 1
(C) 3 : 2 (D) 2 : 1
84. Afan is listed of ` 150 with a discount of 20%. What
additional discount must be offered to the customer to
bring the net price of ` 108 ?
, d i a[ ksdkvafdr ewY; ` 150 gS] 20» dhNwVdsl kFkA
xzkgd dksfdruhvfrfjDr NwVnht k, fd okLrfod dher
` 108 gkst k,
(A) 10% (B) 12%
(C) 8% (D) 20%
85. A photographer allows a discount of 10% on the
marked price of a camera. What price must be marked
on the camera, which costs him ` 600 to make a profit
of 20%.
,d i QksVksxzki Qj ,d dSejsdsvafdr ewY; i j 10» dhNwVnsrk
gSA20» dkykHkysusdsfy, dSejsi j D; kewY; vafdr fd; k
t k, ] ft l dhykxr ml s` 600 vk,
(A) ` 750 (B) ` 850
(C) ` 800 (D) ` 700
86. The graphs of x = a and y = b intersect at
x = a vkSj y = b dsxzki Qfdl i j i jLi j dVsaxs
(A) (a, b) (B) (b, a)
(C) (– a, b) (D) (a, – b)
87. What is the value of
2 2
(941 149) (941 149)
(941 941 149 149)
  
  
?
2 2
(941 149) (941 149)
(941 941 149 149)
  
  
dkeku D; kgS
(A) 10 (B) 2
(C) 1 (D) 100
88. The value of (3 + 2 2 )–3
+ (3 – 2 2 )– 3
is
(3 + 2 2 )–3
+ (3 – 2 2 )– 3
dkeku D; kgS
(A) 198 (B) 180
(C) 108 (D) 189
89. If 5 5 × 53
× 5–3/2
= 5a + 2
, then the value of a is
; fn 5 5 × 53
× 5–3/2
= 5a + 2
, rksa dkeku D; kgS
(A) 2 (B) 3
(C) 1 (D) 4
90. If x2
– 3x + 1 = 0, then the value of
6 4 2
3
1x x x
x
  
will be
; fnx2
– 3x + 1 = 0, rks
6 4 2
3
1x x x
x
  
dkekuD; kgksxk
(A) 18 (B) 15
(C) 21 (D) 30
91. In ABC , ABC = 70º, BCA = 40º. O is the point
of intersection of the perpendicular bisectors of the
sides, then the angle BOC is
ABC esa] ABC = 70º, BCA = 40º. O Hkqt kvksads
yEc f}Hkkt d dk vuqi zLFk dkV dk fcanqgS] rksdks.k
BOC fdruhfMxzhdkgksxk
(A) 100º (B) 120º
(C) 130º (D) 140º
92. If the measures of the sides of triangle are (x2
– 1),
(x2
+ 1) and 2x cm, then the triangle would be
; fnf=kHkqt dhHkqt kvksadkeki (x2
– 1), (x2
+ 1) vkSj 2x l seh
gSrksf=kHkqt dSl kgksxk
(A) equilateral / l eHkqt
(B) acute-angled / U; wudks.k
(C) isosceles / l ef}Hkqt
(D) right-angled / l edks.k
93. A, B, C are three points on the circumference of a circle
and if AB = AC = 5 2 cm and BAC = 90º, find
the radius.
A, B, C , d o`Ùkdhi fjf/ dsrhu fcanqgSavkSj ; fn AB =
AC = 5 2 l sehvkSj BAC = 90º gS] rksf=kT; kKkr
dhft ,A
(A) 10cm (B) 5cm
(C) 20cm (D) 15cm

11. P-11
94. If each angle of a triangle is less than the sum of the
other two, then the triangle is
; fn , d f=kHkqt dki zR; sd dks.knwl jsnksds; ksx l sde gks]
rksf=kHkqt fdl i zdkj dkgksxk
(A) obtuse angled / vf/ d dks.k
(B) right angled / l edks.k
(C) acute angled / U; wu dks.k
(D) equilateral / l eHkqt
95. If angle bisector of a triangle bisect the oppsite side,
then what type of triangle is ?
, d f=kHkqt dsdks.kf}Hkkt d l keusdhHkqt kdksf}Hkkft r
djrsgSa] rksf=kHkqt fdl i zdkj dkgksxk
(A) Right angled/ l edks.k
(B) Scalene/ fo"keHkqt
(C) Similar/ l e: i
(D) Isosceles/ l ef}Hkqt
Direction(96–100) :The number of mobile simcards
in 4 states are given in multiple bar diagrams. Study the
diagramandanswer the questions.
funsZ' k( 96&100) %rhu dai fu; ksa}kjkpkj jkT; ksaesacsps
x, eksckby fl edkMksZadhl a[ ; kcgqLraHk&v kjs[ kesai znf' kZr gSA
v kjs[ kdkv è; ; u djsav kSj i z' uksadsmÙkj nhft , A
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
BSNL
Airtel /
Aircell /
, v jVsy
, v jl sy
Gujarat Assam Kerala
No.ofMobileSimcardowners(inlakhs)
xqt jkr v l e dsjy
eksckbyfledkMZdsekfydksadhla[;k(yk[kesa)
96. InAssam, the ratioofAircell simcard andAirtel simcard
sold is:
vl e esafcdsgq; s] , ; l sy l hedkMZrFkk, ; jVsy l hedkMZdk
vuqi kr gksxk
(A) 3: 2 (B) 2: 5
(C) 5: 2 (D) 2: 3
97. In which state are there the largest number of owners
ofAirtel simcard?
og jkT; dkSu&l kgS] t gk¡, vjVsy fl edkMZdsekfydksadh
l a[ ; kl cl sT; knkgS
(A) Tamilnadu/ rfeyukMq(B) Gujarat / xqt jkr
(C) Kerala / dsjy (D) Assam / vl e
98. Average of simcard sold in the four states in lakhs is
pkjksajkT; ksaesacspsx, fl edkMksZadkvkSl r fdrusyk[ kgS
(A) 30.25 (B) 40.5
(C) 35 (D) 33.75
99. The range ofBSNL simcard sold in the 4 states in lakhs
is:
l HkhjkT; ksaesaBSNL fl edkMksZadhi jkl fdrusyk[ kdhgS
(A) 12 (B) 15
(C) 14 (D) 13
100. Ofall thesimcardssold in all thefour states, thenumber
of simcards sold in Gujarat is (approx)
l HkhpkjksajkT; ksaesacspsx, dqy fl edkMksZadhrqyukesa]
xqt jkr esacspsx, fl edkMksZadhl a[ ; k(yxHkx) fdruhgS
(A) 40% (B) 38%
(C) 35% (D) 42%