1.
2.
3.
4.
A and B earn in the ratio 2:1. They spend in the ratio 5
: 3 and save in the ratio 4:1. If the total monthly savings
of both A and B are Rs. 5000, the monthly income of B
is
1.
A
B
A
B
B
(a)
Rs 7000
(b)
Rs 14000
(a)
Rs 7000
(b)
Rs 14000
(c)
Rs 5000
(d)
Rs 10000
(c)
Rs 5000
(d)
Rs 10000
(a)
2:3
(b)
3:2
(c)
5:1
(d)
1:5
The ratio of the sum of two numbers and their
difference is 5 : 1. The ratio of the greater number to
the smaller number is (a)
2:3
(b)
3:2
(c)
5:1
(d)
1:5
Successive discounts of 10%, 20% and 50% will be
equivalent to a single discount is -
2.
3.
10%, 20%
50%
(a)
36%
(b)
64%
(a)
36%
(b)
64%
(c)
80%
(d)
56%
(c)
80%
(d)
56%
(a)
(c)
I
III
(b)
(d)
II
IV
A retail offers the following discount scheme for buyers
on an article.
4.
I.
Two successive discounts of 10%.
I.
II.
A discount of 12% follows by a discount of 8%.
II.
III.
Successive discounts of 15% and 5%.
III.
IV.
A discount of 20%.
IV.
The selling price will be minimum under the scheme.
5.
6.
7.
(a) I
(b) II
(c) III
(d) IV
A mixture contains 80% acid and rest water. Part of the
mixture that should be removed and replaced by the
same amount of water to make the ratio of acid and
water 4 : 3 is -
5.
(a)
1
rd part
3
(b)
3
th part
7
(a)
1
3
(b)
3
7
(c)
2
rd part
3
(d)
2
th part
7
(c)
2
3
(d)
2
7
An employer reduces the number of his employees in
the ratio 9 : 8 and increase their wages in the ratio 14 :
15. If the original wage was Rs. 18900, find the ratio in
which the wage bill is decreased.
(a)
20 : 21
(b)
21 : 20
(c)
20 : 19
(d)
19 : 21
The batting average for 40 innings of a cricketer is 50
runs. His highest score is more than its lowest score
by 172 runs. If these two innings are excluded, the
average of the remaining 38 innings is 48 runs. The
highest score of the player is (a)
165
(b)
170
(c)
172
(d)
174
6.
9:8
14 : 15
18900
(a)
(c)
20 : 21
20 : 19
(b)
(d)
21 : 20
19 : 21
(a)
(c)
165
172
(b)
(d)
170
174
7.
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
1
8.
Fill in the blanks to make the statement true:-
8.
3 5
3

  ......
5 10
5
9.
3 5
3

  ......
5 10
5
(a)
5
8
(b)
4
8
(a)
5
8
(b)
4
8
(c)
8
5
(d)
3
8
(c)
8
5
(d)
3
8
How many of the following numbers are divisible
by 132?
10.
12.
13.
14.
15.
132
264,396,4, 762,792, 968,2178,5184,6336
264,396,4, 762,792, 968,2178,5184,6336
(a) 4
(b)5
(a) 4
(b)5
(c) 6
(d)7
(c) 6
(d)7
10.
If the numerator and the denominator of a proper
fraction are increased by the same quantity, then
the resulting fraction is
(a)
(a) always greater than the original fraction
(b)
(b) always less than the original fraction
(c)
(c) always equal to the original fraction
(d)
(d) None of the above
11.
9.
11.
(4143 + 4343)
(4141 + 4341)
HCF of (4143 + 4343) and (4141 + 4341) is
(a) (43-41)
(b) (4141 + 4341)
(a) (43- 41)
(b) (4141 + 4341)
(c) (4143 + 4343)
(d) (41 + 43)
(c) (4143 + 4343)
(d) (41 + 43)
Given that 4A = 333555 + 555333, then A is divisible
by
12.
4A = 333555 + 555333,
A
(a) 2
(b) 3
(a) 2
(b) 3
(c) 37
(d) all of these
(c) 37
(d) all of these
(a) 7096320
(b) 7906320
(c) 7096230
(d) 7903620
There are five numbers. HCF of each possible pair
is 4 and LCM of all the five numbers is 27720.
What will be the product of all the five numbers?
(a) 7096320
(b) 7906320
(c) 7096230
(d) 7903620
3x  51/ 4 and
the value of 2xy Given that
3
(a) 2
(b)3
(c) -3
(d)5
4
5y  3 , then find
If 1x, 5x and 7x are in A.P. and also in G.P. then
the value of 'x' is
(a) 0
(b)1
(c) 2
(d)4
13.
14.
15.
3
3x  51/ 4
4
5y  3 ,
(a) 2
(b)3
(c) -3
(d)5
1 x, 5 x
2xy
7x
'x'
(a) 0
(b)1
(c) 2
(d)4
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
2
16.
17.
In the class of 100 students, the number of students
passed in English is 46, in Maths is 46 and in
Commerce is 58. The number of students who
passed in English and Maths is 16, Maths and
commerce is 24 and English and commerce is 26,
and the number of students who passed in all
subjects is 7. Find the number of the students
who failed in all the subjects.
(A) 13
(B) 8
(C) 9
(D) 7
The 6
th
16.
(C) 9
(D) 7
term from the end of the geometric
1
(A)
4
18.
(B) 8
17.
8, 4, 2, 1,
1 1
1
progression 8, 4, 2, 1, , .......
2 4
1024
(C)
(A) 13
1
32
1
(B)
16
(D)
1
64
1 1
1
, .......
2 4
1024
(A)
1
4
(B)
1
16
(C)
1
32
(D)
1
64
18.
On reducing the entry fee by 25% in a circus show,
the number of viewers increased by 30%. The
percent increase or decrease in the income from
the entry fee is
(A) 2.5% increase
(B) 0.5% decline
(C) 2.5% decline
(D) 3% increase
(A) 2.5%
(B) 0.5%
(C) 2.5%
(D) 3%
19.
19.
20.
21.
The compound interest on a certain sum of money for
2 years at 5% is Rs 328, then the sum is
(A)
(B)
(a)
Rs 3000
(b)
Rs 3600
(C)
(D)
(c)
Rs 3200
(d)
Rs 3400
20.
The height of a cone is 30 cm. A small cone is cut off at
the top by a plane parallel to the base. If its volume be
1/27th of the volume of the given cone, at what height
above the base is the section made ?
1
27
(a)
19cm
(b)
20 cm
(A)
(B)
(c)
12 cm
(d)
15 cm
(C)
(D)
ABCD is a trapezium with AD and BC parallel sides. E
is a point on BC. The ratio of the area of ABCD to that
of AED is
(A)
(C)
AD
BC
AD  BE
AD  CE
(B)
(D)
21. ABCD
E, BC
BE
EC
(A)
AD  BC
AD
(C)
AD
AD
BC
AD  BE
AD  CE
BC
ABCD
(B)
(D)
AED
BE
EC
AD  BC
AD
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
3
22.
If the surface area of a sphere is 346.5 cm2, then its
radius
22.
22 

 ekuk fd   7 
22 

 taking  7  is


7 lseh
(B)
3-25 lseh
(C) 5- 25 ls eh
(D) 9 ls eh
(a) 7 cm
(b) 3.25 cm
23. ,d lecgqHkqt dk vka rfjd dks .k cká dks.k ls 5 xq .kk gSA
(c) 5.25 cm
(d) 9 cm
lecgqHkqt dh Hkqtkvksa dh la[;k crkb,\
23. An interior angle of a regular polygon is 5 times its
(A) 14
(B)
16
exterior angle. Then the number of sides of the polygon
is
(C) 12
(D) 18
(a) 14
(b) 16
24. ,s ls yEc fijkfeM dh Å¡ pkbZ Kkr dhft, ftlds ry dk
{ks=kiQy 30 ehVj3 gS vkSj vk;ru 500 ehVj3 gS
(c) 12
(d) 18
(A) 50 ehVj
(B)
60 ehVj
24. The height of the right pyramid whose area of the base
2
3
is 30 m and volume is 500 m , is
(C) 40 ehVj
(D) 20 ehVj
25.
26.
(A)
(a)
50 m
(b)
60 m
(c)
40 m
(d)
20 m
25.
The present age of a father is 3 years more than three
times the age of his son.There years hence, father's
age will be 10 years more than twice the age of the
son. The father's present age is
(a)
33 years
(b)
39 years
(c)
45 years
(d)
40 years
44
(b)
52
(c)
60
(d)
68
33
(b)
39
(c)
45
(d)
40
(a)
44
(b)
52
(c)
60
(d)
68
26.
Average age of 6 sons of a family is 8 years. Average
age of sons together with their parents is 22 years. If
the father is older than the mother by 8 years, the age
of mother (in years) is
(a)
(a)
,d yEc fizTe dk ry leHkqth; f=kHkqt gSA ;fn ik'oZ i`"B
{ks=k vkSj vk;ru Øe'k% 120 lseh 3 ,oa 40 3 lseh3 gS rks
27. The base of a right prism is an equilateral triangle. If
fizTe ds ry dh Hkqtk dh yackbZ D;k gksxh \
the lateral surface area and volume is 120 cm2, 40 3
(A) 4 ls eh
(B)
5 lseh
cm3 respectively then the side of base of the prism is
(C) 10 ls eh
(D) 40 ls eh
(a) 4 cm
(b) 5 cm
28. ,d leprq Hkq tZ dk ifjeki 2p ;w fuV gS vkSj fod.kks Z dh
(c) 10 cm
(d) 40 cm
yackbZ dk ;ksx m ;wfuV gS rks leprqHkqZt dk {ks=kiQy
28. Perimeter of a rhombus is 2p unit and sum of length of
fdruk gS \
27.
diagonals is m unit, then area of the rhombus is
(a)
(b)
(c)
(d)
1 2
m p sq unit
4
1
mp2 sq unit
4
(A)
1 2
m p oxZ ;wfuV
4
(B)
1
mp 2 oxZ ;wfuV
4
(C)
1 2
m  p 2 oxZ ;wfuV
4
(D)
1 2
p  m2
4
1 2 2
(m -p ) sq unit
4
1 2
(p - m2) sq unit
4




oxZ ;wfuV
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
4
29.
A ball of lead 4 cm in diameter is covered with gold. If
the volume of the gold and lead are equal, then the
thickness of gold [given
30.
5.038cm
(b)
5.190cm
(c)
1.038 cm
(d)
0.518cm
A large solid sphere is melted and moulded to form
identical right circular cones with base radius and
height same as the radius of the sphere. One of these
cones is melted and moulded to form a smaller solid
sphere. Then the ratio of the surface area of the smaller
to the surface area of the larger sphere is
(c)
32.
33.
34.
2 =1.259] is approximately
(a)
(a)
31.
3
4
(b)
1: 3 3
2
(d)
1: 3 3
3
1: 2 2
(a)
0.4
(b)
0.2
(c)
1
(d)
0.6
5 hours 50 minutes
(b)
6 hours
(c)
6 hours 50 minutes
(d)
12 hours 10 minutes
Speed of motor-boat in still water is 45 kmph. If the
motor-boat travels 80 km along the stream in 1 hour
20 minutes, then the time taken by it to cover the
same distance against the stream will be
(a)
3 hours
(b)
1 hours 20 minutes
(c)
2 hours 40 minutes
(d)
2 hours 55 minutes
A is the centre of circle whose radius is 8 and B is the
centre of a circle whose diameter is 8. If these two
circles touch externally, then the area of the circle with
diameter AB is.
(a)
36 
(b)
64 
(c)
144 
(d)
256 
3
2  1.259 
5-038 lseh
(B)
5-190 lseh
(C) 1-038 ls eh
(D) 0-518 ls eh
30. ,d cM+ s Bks l xks y s dks xykdj le:i ya c o` Ùkkdkj 'ka d q
cuk, tkrs gSa ftudh vk/kj dh f=kT;k vkSj Å¡pkbZ xksys dh
f=kT;k ds cjkcj gSA buesa ls ,d 'kadq dks xykdj NksVk Bksl
xksyk cuk;k tkrk gSA NksVs xksys ds i`"B {ks=kiQy vkSj cM+s
xksys ds i`"B {ks=kiQy dk vuqikr D;k gksxk \
(A)
4
(A) 1: 33
4
The speed of a motor-boat is that of current of water
as 36 : 5. The boat goes along with the current in 5
hours 10 minutes. It will come back in
4 lseh O;kl okys ysM ds xksys dks Lo.kZ ls doj fd;k
tkrk gSA ;fn Lo.kZ vkSj ysM dk vk;ru cjkcj gS rks Lo.kZ
dh eksVkbZ yxHkx fdruh gksxh \
 fn;k gS fd

1: 2 3
A swimmer swims from a point A against a current for
5 minutes and then swims backwards in favour of the
current for next 5 minutes and comes to the point B. If
AB = 100 metres, the speed of the current (in km per
hours) is
(a)
29.
2
(C) 1: 33
31.
3
(B)
1: 2 2
(D)
1: 2 3
4
A
B
AB = 100
(a)
(c)
0.4
1
(b)
(d)
(a)
(b)
(c)
(d)
5 hours 50 minutes
6 hours
6 hours 50 minutes
12 hours 10 minutes
(a)
(b)
(c)
3 hours
1 hours 20 minutes
2 hours 40 minutes
(d)
2 hours 55 minutes
0.2
0.6
32.
33.
34. A 8
bdkbZ f=kT;k okys o`Ùk dk dsUnz gS vkSj B 8 bdkbZ
O;kl okys o`Ùk dk dsUnz gSA ;fn ;s nksuksa o`Ùk ckgj ls Li'kZ
djrs gSa] rks AB O;kl okys o`Ùk dk {ks=kiQy oxZ bdkbZ esa)
fdruk gS \
(a) 36 
(c) 144 
(b)
(d)
64 
256 
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
5
35.
36.
The odd term in the sequence 0, 7, 26, 63, 124, 217 is
(a) 217
(b)
7
(c)
(d)
63
26
35. 0, 7, 26, 63, 124, 217 ds
gS \
(a) 217
(c) 26
If x men can do a piece of work in x days, then the
number of days in which y men can do the same work
is
36.
2
xy days
y
days
x
(b)
(b)
(d)
7
63
;fn x O;fDr ,d dk;Z x fnuksa esa dj ldrs gSa] rks mlh
dk;Z dks y O;fDr fdrus fnuksa ij dj ik,a¡xs \
(a) xy
(a)
vuqØe esa fo"ke in dkSu&lk
(c)
fnu
x2
fnu
y
(b)
y2
x
fnu
(d)
x2y
fnu
2
(c)
x
days
y
(a)
1
5 days
5
rhu O;fDr ,d dk;Z 1]200 #- esa iwjk djus ds fy, djkj
djrs gSaA muesa igyk O;fDr ml dk;Z dks 8 fnuksa esa] nwljk
O;fDr 12 fnuksa esa vkSj rhljk O;fDr 16 fnuksa esa iwjk dj
37. Three persons undertake to complete a piece of work
for Rs. 1,200. The first person can complete the work in
ldrk gSA os lc feykdj ,d pkSFks O;fDr dh lgk;rk
8 days, second person in 12 days and third person in
ysdj og dk;Z 3 fnuks esa iwjk dj nsrs gSaA rnuqlkj] ml
16 days. They complete the work with the help of a
pkSFks O;fDr dks fdruh jkf'k feysxh \
fourth person in 3 days. What does the fourth person
(a) 180 #(b)
200 #get ?
(c) 225 #(d)
250 #(a) Rs.180
(b) Rs. 200
38. nks dfeZ;ks a A rFkk B us ,d&lkFk feydj ,d dk;Z 5 fnuks a
(c) Rs. 225
(d) Rs. 250
esa iwjk dj fn;kA ;fn muesa A us viuh okLrfod {kerk ls
38. Two workers A and B working together completed a
nqxquh {kerk ls dk;Z fd;k gksrk vkSj B us viuh okLrfod
job in 5 days. If A worked twice as efficiently as he
{kerk ls 1@3 {kerk ls dk;Z fd;k gksrk] rks ogh dk;Z 3
actually did and B worked 1/3 as efficiently as he
fnuksa esa iwjk gks tkrk gSA rn~uqlkj A vdsyk og dk;Z
actually did, the work would have been completed in 3
fdrus fnuksa esa iwjk dj ldrk Fkk \
days. To complete the job alone, A would require
(c)
(d)
x2y days
(b)
1
6 days
4
1
days
2
(d)
11/8 days
(d)
7
8
3
days
4
37.
(a)
5
1
fnu
5
(b)
6
1
fnu
4
(c)
7
1
fnu
2
(d)
8
3
fnu
4
dk;Z 20 fnuksa esa vkSj B mls 30 fnuksa esa dj ldrk
gSA os nksuksa ,d lkFk feydj 7 fnu dk;Z djrs gSaA
39. A can do a piece of work in 20 days and B in 30 days.
rRi'pkr~ nksuksa mls NksM+ nsrs gSaA rc C vdsyk 'ks"k dk;Z
They work together for 7 days and then both leave the
work. Then C alone finishes the remaining work in 10
10 fnuksa esa iwjk dj nsrk gSA rnuqlkj] C vdsyk iwjk dk;Z
days. In how many days will C finish the full work ?
fdrus fnuksa esa lekIr dj ldrk Fkk \
(a) 25 fnu
(b) 30 fnu
(a) 25 days
(b) 30 days
(c) 24 fnu
(d) 20 fnu
(c) 24 days
(d) 20 days
40. lq uhy ,d dk;Z pkj fnuks a es a iw jk djrk gS] tcfd fnus 'k
40. Sunil completes a work in 4 days, whereas Dinesh
ogh dk;Z 6 fnuksa esa iwjk dj ikrk gSA ;fn jes'k] lquhy ls
completes the work in 6 days.Ramesh works 3/2 times
3/2 xq uk rhozrk ls dk;Z dj ldrk gks ] rks rhuks a ,d&lkFk
fast as Sunil. The three together can complete the work
feydj ogh dk;Z fdrus fnuksa esa iwjk dj ik,axs \
in
(a) 17/12 fnu
(b) 12/7 fnu
(a) 17/12 days
(b) 12/7 days
(c) 11/8 fnu
(d) 24/19 fnu
(c)
39.
A ,d
24/19 days
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
6
41.
A farmer can plough a field working 6 hours per day in
18 days. The worker has to work how many hours per
day to finish the same work in 12 days ?
(a)
7
(b)
9
(c)
11
(d)
13
41.
,d fdlku izfr fnu 6 ?kaVs dk;Z djds ,d [ksr dks 18
fnuksa eas tksr ldrk gSA rnuqlkj mls ogh dk;Z 12 fnuksa esa
iwjk djus ds fy, izfr fnu fdrus ?kaVs dk;Z djuk gksxk ?
(a)
(c)
7
11
(b)
(d)
9
13
rhu la[;kvksa dk vuqikr 2 % 3 % 4 gSA ;fn muds oxksZ dk
;ksxiQy 1856 gks] rks os la[;k,¡ dkSu&lh gSa \
(a) 8, 12 and 16
(a) 8, 12 rFkk 16
(b) 16, 24 and 32
(b) 16, 24 rFkk 32
(c) 12, 18 and 24
(c) 12, 18 rFkk 24
(d) None of the above
(d) mi;q ZDr es a ls dks bZ ugha
43. If x runs are scored by A, y runs by B and z runs by C,
43. ;fn A us x ju cuk, gksa] B us y ju rFkk C us z ju cuk, gks a]
then x : y = y : z = 3 : 2. If total number of runs scored by
rks x : y = y : z = 3 : 2 gSA ;fn A, B ,oa C dh dqy ju&la[;k
A, B and C is 342, the runs scored by each would be
342 gks ] rks izR;s d dh ju&la [;k Øe'k% D;k gks xh \
respectively
42.
44.
45.
46.
47.
48.
Three numbers are in the ratio 2 : 3 : 4. If the sum of
their squares is 1856, then the numbers are
(a)
144, 96, 64
(b)
162, 108, 72
(c)
180, 120, 80
(d)
189, 126, 84
42.
(a)
(b)
(c)
(d)
44.
Rs 900 is divided among A, B, C; the division is such
that 1/2 of A’s money = 1/3 of B’s money = 1/4 of C’s
money. Find the amount received (in.Rs) by A, B, C.
(a)
300, 400, 200
(b)
350, 450, 100
(c)
200, 300, 400
(d)
400, 150, 350
900 #-
dks A, B, C esa ckaVk tk, vkSj muesa caVokjk bl
izdkj gks fd A dh jkf'k dk 1/2 = B dh jkf'k dk 1/3= C
dh jkf'k dk 1/4 ] rks A, B.C }kjk izkIr dh xbZ jkf'k (#esa) fdruh gksxh \
(a)
(b)
(c)
(d)
If Rs. 126.50 is divided among A, B and C in the ratio of
2: 5 :4, the share of B exceeds that of A by
(a)
Rs 36.50
(b)
Rs 35.50
(c)
Rs 34.50
(d)
Rs 33.50
The average of first three numbers is double of the
fourth number. If the average of all the four numbers is
12, find the 4th number.
(a)
16
(b)
48/7
(c)
20
(d)
18/7
If the average of 6 consecutive even numbers is 25, the
difference between the largest and the smallest number
is
(a)
8
(b)
10
(c)
12
(d)
14
A train goes from Ballygunge to Sealdah at an average
speed of 20 km/hour and comes back at an average
speed of 30 km/ hour. The average speed of the train
for the whole journey is
(a)
27 km/hr
(b)
26 km/hr
(d)
25 km/hr
(d)
24 km/hr
144, 96, 64
162, 108, 72
180, 120, 80
189, 126, 84
300, 400, 200
350, 450, 100
200, 300, 400
400, 150, 350
;fn 126.50 dks A, B rFkk C esa 2: 5 :4 ds vuqikr esa ckaVk
tk,] rks B dk Hkkx A dh vis{kk fdruk vf/d gksxk \
(a) 36.50 #(b) 35.50 #(c) 34.50 #(d) 33.50 #46. igyh rhu la [;kvks a dk vkSlr pkSFkh la [;k dk nq xq uk gSA
;fn mu lHkh pkjksa la[;kvksa dk vkSlr 12 gks] rks pkSFkh
la[;k Kkr dhft, \
45.
(a)
(c)
47.
(b)
(d)
48/7
18/7
;fn 6 Øfed le la[;kvksa dk vkSlr 25 gks] rks muesa
lcls cM+h rFkk lcls NksVh la[;k dk varj fdruk gksxk \
(a)
(c)
48.
16
20
8
12
(b)
(d)
10
14
,d jsyxkM+h ckyhxat ls fl;kynkg rd 20 fdeh@?kaVk dh
vkSlr xfr ls pyrh gS vkSj 30 fdeh@?kaVk dh vkSlr xfr
ls okil vk tkrh gSA rnuqlkj ml jsyxkMh dh iwjh ;k=kk
dh vkSlr xfr fdruh gS \
(a) 27 fdeh@?kaVk
(b) 26 fdeh@?kaVk
(c) 25 fdeh@?kaVk
(d) 24 fdeh@?kaVk
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
7
49.
50.
51.
52.
The arithmetic mean of 100 observations is 24. 6 is
added to each of the observations and, then each of
them is multiplied by 2.5. Find the new arithmetic mean.
(a)
30
(b)
75
(c)
35
(d)
60
The shadow of a tower is
3 times its height. Then
the angle of elevation of the top of the tower is -
(A) 45°
(B)
(C)
(D) 90°
60°
49.
(a)
(c)
(A)
40
cm
3
(b)
(C)
20
cm
3
(D) 5 cm
AD : AC = AE : AB
(C)
AB : AD = AC : AE
52.
54.
40
cm
3
(b)
(C)
20
cm
3
(D) 5 cm
ABC
A
10 cm
BC
D
E
(B) AD : AC = AE : AB
(C) AB : AD = AC : AE
(D) AB : AD = AE : AC
53.
ABCD
(A) 10 cm
P
17 cm
(A) 10 cm
(D)
26
cm
3
(C)
(A) 4:3
(B)
16 : 9
(C)
(D) 2 : 3
E
Q
(B)
Two circles cut each other at points P and Q. Centres
of two circles are respectively A and B and PA
perpendicular to PB. If AB intersects line segments PQ
at R and ratio of radii the two circles are respectively
16 : 9 then AR : BR is -
256 : 81
AB
(A)
CD
32
cm
3
M 40
AB
AM, MB
Point E and F are respectively midpoints of sides AB
and CD of a rectangle ABCD. If line segment of AF and
EC respectively intersect line diagonal BD at P and
radii Q, then what is the length of PQ if sides of rectangle
are respectively 10 cm and 24 cm?
(C)
(B) 30°
(D) 90°
(A) AB : AC = BD : DC
(D) AB : AD = AE : AC
53.
75
60
3
51.
(A) AB : AC = BD : DC
(B)
(b)
(d)
(A) 45°
(C) 60°
10 cm
The bisector of A of 
ABC cuts BC at D and the
circumcircle of the triangle at E. Then,
30
35
50.
30°
In the given figure, M is the midpoint of line segment
AB whose length is 40cm. Semicircles having diameters
AM, MB and AB are drawn at the same side of the line.
The radius of a circle touching all the three semicircle
is -
100 izs{k.kksa dk lekarj ekè; 24 gSA mu izs{k.ksa esa izR;sd
esa 6 tksM+us ij] rRi'pkr~ izR;sd dks 2-5 ls xq.kk djus ij]
mudk u;k lekarj ekè; fdruk gks tk,xk \
32
cm
3
54.
P
A
B
PQ
R
F
AF
AB
BC
PQ
(B)
17 cm
(D)
26
cm
3
Q
PA, PB
BD
AB
AR : BR
(A) 4:3
(B)
(C)
(D) 2 : 3
256 : 81
16 : 9
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
8
55.
56.
In the given figure length of side AC is -
(A) 20
(B)
(C)
(D) 18
21
22
A circle with radius r has a chord PQ whose length is 2
a. The tangents drawn at points P and Q to the circle
meet at T, then what is the length of TP?
ar
(A)
r a
2
57.
58.
r a
2
(B)
2
(D) 93.64 m
89.64 m
7
4
(B)
4/5
(D)
1
5
If sin x + sin y= a and cos x + cos y = b then value of sin
x.sin y + cos x.cos y is —
a2 + b2 - 2
(B)
a + b + ab
(D)
 a 2  b2  2 


2


If cos(    )= a, cos(    )= b, then the value of
61.
b 2-a 2
(B)
2a
r a
2
r a
2
P
TP
2ar
2
(B)
r  a2
(D)
r  a2
2
ar
2
2
(A) 91.64 m
(B)
(C)
(D) 93.64 m
89.64 m
58.
B  900 , AC  2 5
cos2A - cos2C
ABC
AB - BC = 2
(A) 3/5
(B)
4/5
7
4
(D)
1
5
(C)
59.
90.46 m
sin x + sin y= a
y + cos x.cos y
(A) a + b- ab
(C)
2
2
a +b -2
cos(    )= a
60.
cos x + cos y= b
sin x.sin
(B)
a + b + ab
(D)
 a 2  b2  2 


2


cos(    )= b
sin2(    )
+ 2 ab cos(    )
(A) a2 + b 2
a2 - b 2
(C)
(D) - a2 - b 2
Minimum value of 27cos2x 8lsin2x is —
(A) 1/243
(B)
(C)
(D) 1/5
-5
PQ
T
57.
sin2(    ) + 2 ab cos(    is -
(C)
r
Q
(C)
90.46 m
In a right angled triangle ABC, if B  900 , AC  2 5
and AB - BC = 2 then, what is the value of cos2A cos2C ?
(A) a2 + b 2
(D) 18
21
22
r2  a2
r  a2
(C)
(A) a + b- ab
60.
(C)
(A)
2
(B)
(C)
(B)
ar
(D)
(A) 91.64 m
(A) 3/5
59.
(A) 20
ar
r  a2
2
A rail road curve is to be laid out on a circle. What
radius should be used if the track is to change direction
by angle of 25° in a distance of 40 metres?
(C)
56.
AC
2ar
2
r2  a2
(C)
55.
1/27
61.
b 2-a 2
(B)
a2 - b 2
(D) - a2 - b 2
27cos2x 8lsin2x
(A) 1/243
(B)
(C)
(D) 1/5
-5
1/27
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
9
62.
Any article is observed from three point A, B and C. All
three points are on a straight line and this line passes
under this article. Angle of elevation of this article at B
is twice of at A and angle of elevation at C is thrice of
an A. If AB = a and BC = b, then height of the article
(A)
(B)
(C)
a
2b
 a  b3b  a 
3a
2b
 a  b3b  a 
a
2b
 a  b3b  a 
62.
A
AB = a
A
3
of its former speed
4
and arrives at its destination 35 minutes late. Had
the accident occurred 24 km further, it would have
reached the destination only 25 minutes late. Find
the total distance of travelling.
(A) 134 km
(B) 124 km
(C) 96 km
(D) 120 km
then find
the
value
(A)
a
2b
 a  b3b  a 
(B)
3a
2b
 a  b3b  a 
(C)
a
2b
 a  b3b  a 
(D)
63.
,d jsyxkM+h 50 fdeh- pyus ds ckn nq?kZVukxzLr gks tkrh gSA
blds dkj.k mldh pky izkjfHkad pky dh
2
64.
;fn
 a  b  c
a  b  c, rks  a  b  c 
2
dk eku Kkr dhft,
(A) 1
(B)
b
c
(A) 1
(B)
b
c
c
a
(D)
a
b
(C)
c
a
(D)
a
b
65. The least positive integer that should be added to
875321 × 875319 so that the product is a perfect
square is :
(A) 1
(B) 875321
(C) 875319
(D) 4
3
66. Find the value of sin  (1+ cot  ) + cos3  (1+tan
)
(A) sin - cos
(B) sin  + cos 
(C) sin . cos 
(D)
(C) 18 km/hr
65.
(D) 22 km/ hr
og NksVh ls NksVh la[;k D;k gksxh] ftls 875321 × 875319
esa tksM+k tk;s] rks izkIr vUrj ,d iw.kZ oxZ la[;k gks %
(A) 1
(C) 875319
(B) 875321
(D) 4
66. sin3  (1+ cot  ) + cos3  (1+tan  )dk
djsa
1
sin .cos 
67. The speed of the current is 4 km/hr. A boat goes
10 km upstream and come back to the starting
point in 80 min. What is the speed of the boat in
still water?
( A) 20 km/hr
(B) 16 km/ hr
3
xquh gks tkrkh
4
gS vkSj xUrO; ij 35 feuV nsjh ls igqaprh gSA ;fn nq?kZVuk mDr
LFkku ls 24 fdeh vkxs pydj gqbZ gksrh rks xkM+h xUrO; ij
dsoy 25 feuV nsj ls igqaprhA dqy pyh gqbZ nwjh gS &
(A) 134 fdeh
(B) 124 fdeh
(C) 96 fdeh
(D) 120 fdeh
of
 a  b  c

 .
a  b  c
(C)
BC
=b
accident and then proceeds at
a  b  c,
C
B
C
(D) None of these
63. A train after travelling 50 km meets with an
64. If
A, B
67.
eku Kkr
(A) sin - cos
(B) sin  + cos 
(C) sin . cos 
(D)
1
sin .cos 
/kjk dh pky 4 fdeh@?kaVk gSA ,d uko /kjk dh pky ds
foijhr fn'kk esa 10 fdeh tkus rFk vkjafHkd fcUnq ij okil
vkus esa 80 feuV dk le; yxkrh gS] rks fLFkj ty esa uko dh
xfr D;k gS
( A) 20 fdeh@?kaVk
(B) 16 fdeh@?kaVk
(C) 18 fdeh@?kaVk
(D) 22 fdeh@?kaVk
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
10
   
68. If sin   sin   2, then the value of cos 
 is
2 
(A) 1
(B) -1
(C) 0
(D) 0.5
69. In given figure, ABC is a right triangle in which C
is the right angle. Three semi circles are drawn on
diameter AB, BC and AC. The area of triangle
ABC is 37 sq. unit then the area of shaded portion.
(A) 24 sq. unit
68.
69.
70. Two pipe M and N can fill a tank in 8
1
min and
3
70.
1
min respectively and an outlet pipe can drain
2
162 litre water in 1 minute. If tank is full, all the
three pipes are opened then tank will be empty in
4 minute then capacity of tank will be —
(A) 916 litre
(B) 300 litre
(C) 360 litre
(D) None of these
cos 4  sin 4 

1,
cos 2  sin 2 
then
the
1
(C)
8
value
71.
bZdkbZ
(B) 37 oxZ
bZdkbZ
bZdkbZ (D) 18.5 oxZ bZdkbZ
nks uy M rFkk N ,d gkSt dks Øe'k% 8
1
feuV vkSj
3
cos 4 
sin 4 
cos 4 
sin 4 
;fn cos 2   sin 2   1 gks] rks cos 2   sin 2  dk eku
gS %
( A) 4
(B) 0
1
8
(D) 1
(C)
(D) 1
a
2
 b2  c2

a 2  b 2  c 2
72.
( A) 2
(C) b 6
b
(B) b 4
(D) b 3
(D) 4
;fn a rFkk c dk xq.kksÙkj ekè; ‘b’ gks] rks
a
2
2

 b2  c2
2
a b c
2
dk eku fdruk gksxk
?
73. There are 8 pipes connected to a tank. Some of
them are filling pipes and the other are drain
pipes. Each of the filling pipes can fill the tank
in 12 hours and each of the drain pipes can drain
completely in 36 hours. If all the pipes are kept
open, an empty tank gets filled in 3 hours. How
many pipes are filling pipes ?
( A) 5
(B) 3
(C) 7
fn;s x;s vkjs[k esa ABC ,d ledks.k f=kHkqt gS] ftlesa C
ledks.k gSA AB, BC vkSj AC dks O;kl ekudj rhu v¼Zo`Ùk
[khaps x;s gSA f=kHkqt ABC dk {ks=kiQy 37 oxZ bdkbZ gSA
Nk;kafdr Hkkx dk {ks=kiQy D;k gksxk \
(B) 0
what will be the value of
b
(D) 0.5
yh ikuh ml gkWt esa ls ckgj fudky ldrk gSA tc gkWt iw.kZr%
Hkjk gks] rc rhuks dks ,d lkFk [kksy fn;k tkrk gS vkSj gkWt
4 feuV esa [kkyh gks tkrk gSA gkSt dh {kerk D;k gksxh &
(A) 916 yhVj
(B) 300 yhVj
(C) 360 yhVj
(D) buesa ls dksbZ ugha
of
72. If ‘b’ is the geometric mean of a and c, then
( A) 2
(C) b 6
(C) 0
1
12 feuV esa Hkj ldrs gSa rFkk rhljk uy ,d feuV esa 162
2
cos 4  sin 4 

is :
cos 2  sin 2 
( A) 4
(B) -1
(C) (18.5 + 2) oxZ
12
71. If
(A) 1
(A) 24 oxZ
(B) 37 sq. unit
(18.5 + 2) sq.unit (D) 18.5 sq. unit
(C)
   
;fn sin   sin   2 gks] rks cos  2  dk ekku gS %
73.
(B) b 4
(D) b 3
,d Vadh esa 8 ikbi yxs gq, gSaA muesa ls dqN Hkjus okys gSa
tcfd ckdh [kkyh djus okys gSaA izR;sd Hkjus okyk ikbi Vadh
dks 12 ?kaVs ls Hkj ldrk gS rFkk izR;sd [kkyh djus okyk ikbi
Vadh dks 36 ?kaVs esa iwjk [kkyh dj ldrk gSA ;fn lHkh ikbi
[kqys j[ks tkrs gSa rks ,d [kkyh Vadh 3 ?kaVs eas Hkj tkrh gSA Hkjus
okys ikbi fdrus gSa \
( A) 5
(C) 7
(B) 3
(D) 4
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
11
74. A train after travelling 60 km meets with of an
74.
3
of its former
4
speed and arrives at its destination 40 minutes
late. If the accident could have occurred 25 km
ahead, it would have reached the destination 10
minute earlier. Find the speed of the train :
gks tkrh gS vkSj mlds ckn viuh iqjkuh pky ds
accident and then proceeds at
( A) 48 km/h
(B) 50 km/h
(C) 40 km/h
(D) None of these
75. If
x y z
 
then xy + yz + zx =
a b c

x 2  a  b  c  b 2 x 2  y 2  z 2
2
( A)
2b

2
(B)
2a
2

x 2  a  b  c  c 2 x 2  y 2  z 2
2
(C)
2c
75.

x
a
y z
 rc xy + yz + zx =
b c
;fn 
( A)
2
2b




x 2  a  b  c  a 2 x 2  y 2  z 2
(B)
2a
2
x 2  a  b  c  c 2 x 2  y 2  z 2
2
(C)
2

2
2


x 2  a  b  c  b 2 x 2  y 2  z 2
2
2c
2
(D) All of the above
(D) All of the above
76. If a + b + c = 0 , then what is the value of
a 2  b2  c2
76.
a 2  b2  c2
 a  b  2   b  c 2   c  a  2
?
;fn a + b + c = 0 rc  a  b   b  c 2   c  a  2
2
dk eku D;k gS
( A) 1
(B) 3
( A) 1
(B) 3
1
3
(D) 0
(C)
1
3
(D) 0
(C)
xd
77. The value of

x d  x d  b a  x d  c a

xd
xd  xd a b  xd cb
x d  x d  a c  x d bc
(B) 0
(C) x -d
(D) 1
10  24  40  60  p  q  r
value of p + q + r is :
(B) 11
x y z
 
, then
y z w
(C) (xyzw)
x x
then
78.
(D)
(B) 11
15
x m  ym  zm  w m
x  m  y m  z m  w  m
is
79.

xd
x x
da c
 x d bc
d
d a b
 xd cb
dk eku gS %
(B) 0
(D) 1
;fn 10  24  40  60  p  q  r rks p +
q + r dk eku gS
( A)
(B) 1
m
x
d  c a
xd
d
(B) 10
equal to ?
( A) 0
x x
d  b a
( A) x d
(C) x -d
78. If
10
xd
d

( A) x d
79. If
77.
xd
( A)
3
pky ls
4
vkxs c<+rh gS vkSj LVs'ku ij 40 feuV foyEc ls igq¡prh gSA
;fn nq?kZvuk 25 fdeh- vkxs gksrh] rks og 10 feuV igys
LVs'ku ij igq¡prhA jsyxkM+h dh pky gksxh %
( A) 48 fdeh@?kaVk
(B) 50 fdeh@?kaVk
(C) 40 fdeh@?kaVk
(D) buesa ls dksbZ ugha
2
x 2  a  b  c  a 2 x 2  y 2  z 2
,d jsyxkM+h 60 fdeh- dh nwjh r; djus ds ckn nq?kZVukxzLr
(B) 10
10
x
(D)
y
z
15
x m  ym  zm  w m
;fn y  z  w , rks x  m  y  m  z  m  w  m cjkcj gS%
( A) 0
(C) (xyzw) m
(B) 1
(C) (xyzw) m/2
(C) (xyzw) m/2
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
12
80. In a frequency distribution, gives are graphical
representation of—
80.
( A) frequency
(B) relative frequency
(C) cumulative frequency
(D) raw data
81. A triangle is formed by the x-axis and the lines 2x
+ y = 4 and x - y + 1 = 0 as three sides. Taking
the side along x-axis its base, the corresponding
altitude to the triangle is :
(A) 2 unit
(B) 3 unit
(C)
(D) 1 unit
5 unit
82. Area of a right angled triangle is A. If its one of
the perpendicular sides is b then length of altitude
from right vertex to hypotenuse is :
(A)
b 4  4A 2
(B)
( A)
ckjackjrk
(B)
lkis{k ckjackjrk
(C)
lap;h ckjckjrk
(D)
dPps vkadM
81. X - v{k
vkSj 2x + y = 4 rFkk x - y + 1 = 0 lehdj.kksa
dh js[kkvksa ls ,d f=kHkqt cuk;k x;k gSA rnuqlkj] ;fn X v{k okyh Hkqtk ds vk/kj eku fy;k tk,] rks ml f=kHkqt dh
Å¡pkbZ fdruh gksxh
82.
2A 2 b
2Ab
,d ckjackjrk caVu esa vkstkbo fdldk ys[kfp=k izLrqr djrs
gSa \
(A) 2
,dd
(B) 3
,dd
(C)
5 ,dd
(D) 1
,dd
;fn ,d ledks.k f=kHkqt dk {ks=kiQy A gS] vkSj mldh ,d
yEch; Hkqtk b gS] rks 'kh"kZ f'k[kj ls d.kZ ij Mkys x;s 'kh"kZ
yEc dh yEckbZ D;k gS \
b 4  4A 2
(A)
2Ab 2
(C)
b 4  4A 2
2A 2 b 2
(D)
b4  A 2
Percentage of students passing out of six different
colleges in flve years
83. If the number of students studying in College B in
the year 2005 was 3650, what was the number of
students failing from the college in that year ?
b 4  4A 2
(B)
2Ab 2
(C)
Directions (97-100): Study the table carefully to answer
the questions that follow :
2A 2 b
2Ab
b 4  4A 2
b 4  4A 2
2A 2 b 2
(D)
b4  A 2
Directions (97-100): Study the table carefully to answer
the questions that follow :
Percentage of students passing out of six different
colleges in flve years
(A) 594
(B) 657
;fn o"kZ 2005 esa dkWyst B esa i<+us okys Nk=kksa dh la[;k 3650
Fkh] rks ml o"kZ dkWyst esa iQsy gksus okys Nk=kks dh la[;k
fdruh Fkh \
(C) 583
(D) 625
(A) 594
(B) 657
(C) 583
(D) 625
84. What is the ratio of the number passing to those
failing from college E in the year 2002 ?
83.
(A) 6 : 5
(B) 18 : 7
o"kZ 2002 ds dkWyst E ds ikl gksus okys Nk=kksa dk iQsy gksus
okys Nk=kksa ls vuqikr fdruk gS
(C) 19 : 6
(D) None of these
(A) 6 : 5
(B) 18 : 7
(C) 19 : 6
(D) None of these
84.
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
13
85. If the number of students studying in college E
and F in the year 2003 were 2800 and 2250
respectively. What was the ratio of the number of
students passing out of college E to that out of F
in that year ?
(A) 216: 217
(B) 327: 341
(C) 423 : 485
(D) 539 : 540
86. The average percentage of passing is highest for
which college ?
87.
88.
89.
90.
91.
(A) F
(B) E
(C) A
(D) D
85.
86.
87.
A, B and C are partners of a company. During a
particular year A received one-third of the profit, B
received one-fourth of the profit and C received the
remaining Rs 5,000. how much did A receive?
;fn dkWyst E rFkk F es o"kZ esa 2003 esa i<+us okys Nk=kksa dh
la[;k Øe'k% 2800 rFkk 2250 Fkh rks ml o"kZ dkWyst E ds
ikl gksus okys Nk=kks dk dkWyst F ds ikl gksus okys Nk=kksa ls
vuqikr Fkk \
(A) 216: 217
(B) 327: 341
(C) 423 : 485
(D) 539 : 540
fdl dkWyst dk vkSlr ikl izfr'kr mPpre gS \
(A) F
(B) E
(C) A
(D) D
A, B
A
C
B
1/4
(a)
5,000
(b)
4,000
(c)
3,000
(d)
1,000
Saurabh purchased 30 kg of rice at the rate of Rs 10
per kg and 35 kg at the rate of Rs 11 per kg. He mixed
the two. At what price per kg (in Rs) should he sell
the mixture to make a 30% profit in the transaction?
(a)
12.5
(b)
13
(a)
12.5
(b)
13
(c)
13.7
(d)
14.25
(c)
13.7
(d)
14.25
(a)
5,000
(b)
4,000
(c)
3,000
(d)
1,000

of its selling price
10
and sold it at 8% more than its original selling price.
His gain is
C
A
88.

10
89.
Mahesh purchaed a radio at
(a)
20%
(b)
18%
(c)
10%
(d)
8%
12
(b)
8
(c)
20
(d)
10
20%
(b)
18%
(c)
10%
(d)
8%
(a)
12
(b)
8
(c)
20
(d)
10
90.
The cost of manufacture of a tape recorder is Rs
1,500. The manufacturer fixes the marked price 20%
above the cost of manufacture and allows a discount
in such a way as to get a profit of 8%. The rate of
discount is
(a)
(a)
91.
A money-lender borrows money at 4% per annum and
pays the interest at the end of the year. He lends it at
6% per annum compound interest compounded halfyearly and receives the interest at the end of the year.
In this way, he gains Rs 104.50 a year. The amount of
money he borrows, is
(a)
6, 000
(b)
5,500
(a)
Rs 6, 000
(b)
Rs, 5,500
(c)
5, 000
(d)
4, 500
(c)
Rs, 5, 000
(d)
Rs, 4, 500
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
14
92.
Two workers A and B working together completed a
job in 5 days. If A worked twice as efficiently as he
actually did and B worked 1/3 as efficiently as he
actually did the work would have been completed in 3
days. To complete the job alone, A would require
92.
A
B
A
B
1/3
A
93.
94.
95.
(a)
26/5 days
(b)
25/4 days
(c)
15/2 days
(d)
35/4 days
To do a certain work, B would take time thrice as long
as A and C together and C twice as long as A and B
together. The three men together complete the work
in 10 days. The time taken by A to complete the work
separately is
(a)
22 days
(b)
24 days
(c)
30 days
(d)
20 days
The distance between two cities A and B is 330 km. A
train starts from A at 8 a.m. and travels towards B at
60 km/hour. Another train starts from B at 9 a.m. and
travels towards A at 75 km/hour. At what time do they
meet?
(a)
10 a.m.
(b)
10 : 30 a.m.
(c)
11 a.m.
(d)
11 : 30 a.m.
A train travelling at 48 km/hour crosses another train,
having half its length and travelling in opposite
direction at 42 km/hour, in 12 second. It also passes a
railway platform in 45 seconds. The length of the
railway platform
(a)
200 m
(b)
300 m
(c)
350 m
(d)
400 m
Direction (15-19) following is the pie-chart showing the
difference of the expenses (Rs. in) between housing and
transport was
96.
The ratio of the total amount spent for food and
medicine is
(a)
1:2
(b)
3:1
(c)
12 : 5
(d)
11 : 5
(a)
26/5
(b)
25/4
(c)
15/2
(d)
35/4
A
C
93.
B
C
A
B
A
(a)
22
(b)
24
(c)
30
(d)
20
94.
A
A
B
B
B
(a)
(c)
10 a.m.
11 a.m.
(b)
(d)
10 : 30 a.m.
11 : 30 a.m.
(a)
(c)
200 m
350 m
(b)
(d)
300 m
400 m
A
95.
funsZ'k (15-19) fuEufyf[kr o`Ùkkjs[k esa ,d ifjokj }kjk ,d o"kZ esa
fofHkUu phtksa ij fd, x, [kpZ dks n'kkZ;k x;k gS
bl o`Ùkkjs[k dk vè;;u djds fuEufyf[kr iz'uksa ds mÙkj
nhft,A
96.
HkkStu vkSj nokvksa ij fd, x, dqy [kpksZ dk vuqikr fdruk
gS \
(a)
1:2
(b)
3:1
(c)
12 : 5
(d)
11 : 5
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
15
97.
98.
99.
If the amount spent on the family during the year was
Rs. 5000 how much they spent for buying clothes ?
(a)
Rs. 6, 250
(b)
Rs. 6, 500
(c)
Rs. 7,250
(d)
Rs. 7,500
If the total amount spent on the family during the year
was Rs. 35,000, the amount spent for study of children
and food together was
97.
;fn iwjs o"kZ esa ifjokj }kjk [kpZ dh xbZ dqy jkf'k 50]000 #dh gks] rks mleas ls mUgksaus diM+s [kjhnus ij fdruk [kpZ fd;k
gS \
(a)
6, 250 #-
(b)
6, 500 #-
(c)
7,250 #-
(d)
7,500 #-
(a)
Rs. 19,250
(b)
Rs. 19,500
;fn ijfokj iwjs o"kZ esa [kpZ dh xbZ dqy jkf'k 35]000 #- jgh
gks] rks mlesa ls cPpksa dh f'k{kk rFkk Hkkstu dk dqy [kpZ
fdruk Fkk \
(c)
Rs. 19, 750
(d)
Rs. 19,850
(a)
19,250 #-
(b)
19,500 #-
(c)
19, 750 #-
(d)
19,850 #-
98.
Angle of the pie-chart representing the expenditure on
entertainment is
(a)
0
15
(b)
10
o`Ùkkjs[k ds vUrxZr euksjatu ij fd, x, [kpZ dks fdrus va'k
ds dks.k ls fu:ifr fd;k x;k gS \
(c)
360
(d)
25/20
(a)
150
(b)
100
(c)
360
(d)
25/20
99.
0
100. If the difference in the amount spent for buying clothes
and house maintenance was Rs. 1,500 how much they
spent for house maintenance ?
(a)
Rs. 5,000
(b)
Rs. 6, 000
;fn diM+s [kjhnus vkSj vkokl ds j[k&j[kko ds [kpZ dk vUrj
1]500 #- jgk gks] rks j[k&j[kko ij mUgksaus fdruk [kpZ fd;k
Fkk \
(c)
Rs. 7, 000
(d)
Rs. 8, 000
(a)
5,000 #-
(b)
6, 000 #-
(c)
7, 000 #-
(d)
8, 000 #-
100.
Head Office : 642, IInd Floor, Above Aggarwal Sweets, Near Batra Cinema, Dr. Mukherjee Nagar, Delhi
Branch Office : wz-13A-13B, IInd Floor, Opp. Metro Pillar No. 655, Near Uttam Nagar East Metro Station, Delhi
Contact No.: 09313358248, 08882299911, 09250696924, 011-47243756
16