1.
What ratio Should milk & water be Mixed so that Selling the Mixure at the Cost Price a Profit of
16 2 / 3 %
is made ?
(a) 2 : 3
(b) 6 : 1
(c) 1 : 6
(d) 3 : 2
1
2.
Find the Maximum value of
3.
(a) 1
(b) 1/30
(c) 5/3
(d) 1/5
In the given diagram of
x 2  10 x  30
1.
2.
?
(a)
2:3
(b) 6 : 1
(c)
1:6
(d) 3 : 2
1
x 2  10 x  30
(a) 1
(b) 1/30
(c)
(d) 1/5
5/3
BCE
CBD
ΔABC, B  80º , C  30º , BF & CF are the angle
B  80º , C  30º , BF
ABC
3.
CF
BFC
biseclors of CBD & BCE respectivily. Find the value
A
of BFC ?
A
C
B
C
B
D
D
4.
5.
6.
E
F
(a) 110º
(b) 50º
(c) 125º
(d) 55º
Find the value of a3 + b3 + c3 - 3abc it a = - 76, b = 34, C
- 42
(a) 152
(b) 1
(c) 3
(d) None of these
There are 35 Students is a Class. 14 rupees are Distributed amony them so that each boy gets 80p & each girl
gets 30 P. Find the number of boys in that class?
(a) 12
(b) 7
(c) 9
(d) 13
Find the value Sin 30º Cost 45º + Cos 30º Sin 45º=?
(a)
(c)
7.
8.
3 2
2
5
2 2
(b)
(d)
(a)
110º
(b) 50º
(c)
125º
(d) 55º
4.
a = - 76, b = 34, C - 42
(a)
152
(b) 1
(c)
3
(d)
(a)
12
(b) 7
a3 + b3 + c3 - 3abc
5.
6.
32
(c) 9
(d) 13
Sin 30º Cost 45º + Cos 30º Sin 45º=?
3 2
2
(a)
2 2
3 1
(c)
2 2
Find the value of x it 3x-1 + 3x=1 = 90
(a) 9
(b) 2
(c) 3
(d) 5
The value g (x, y) it 5x + 3y = 8, 5x-1 + 3y-1 = 2 is
(a) 3, 2
(b) 2, 3
(c) 1, 1
(d) 0, 1
E
F
7.
5
(d)
2 2
3x-1 + 3x=1 = 90
(a) 9
(c)
8.
(b)
1, 1
3 1
2 2
(d) 5
y
5 +3 =8
(a) 3, 2
(c)
2 2
x
(b) 2
3
x
32
5
x-1
+ 3y-1 = 2
(b) 2, 3
(x, y)
(d) 0, 1
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
9.
3
If n2 - 4n + 1 = 0, then the value of n 
1
n3
=?
(a) 48
(b) 52
(c) 64
(d) None of these
10. One acute angle of a right angled triangle is double the
other, it the lenght of its hypotenuse is 10 Cm. then its
area is
(a) 75/2 Cn2
(b) 25 Cn2
(c)
11.
25
3 Cn 2
2
(c)
(b) 52
(c)
64
(d)
=?
10.
cm
2
(a)
75/2 Cn
(b) 25 Cn2
(c)
25
3 Cn 2
2
(d)
(a)
3
3 hour
8
1
(b) 3 hour
8
(c)
1
2 hour
2
5
(d) 3 hour
8
(a)
Rs 5
(b) Rs 2
(c)
Rs 1
(d) Rs 7
(a)
2
(b) 1
(c)
4
(d) 3
11.
3
3 hour
8
1
(b) 3 hour
8
5
(d) 3 hour
8
1
2 hour
2
12.
13.
14.
AB || DE
Aº + bº - cº
B
A
D
E
C
E
(a) 160º
(b) 120º
(c) 180º
(d) 210º
15. A polycones has 54 diagonals. The number of sides in
the poly gonesis
(a) 7
(b) 9
(c) 12
(d) None of these
1
1
2
16. If tan θ  tan θ  2 , find the value of tan θ 
tan 2 θ
(b) 4
(d) 16
B
A
C
2
8
n3
48
(d) None of these
12. Rs. 50 is Divided amony 6 man, 12 women 17 boys so
that 2 men gets as much as 5 boys and 2 women as much
as 3 boys. Find the share of a boy ?
(a) Rs 5
(b) Rs 2
(c) Rs 1
(d) Rs 7
13. Find the remainder when 98 divided by 7 ?
(a) 2
(b) 1
(c) 4
(d) 3
14. In the given figur AB || DE. Find aº + bº - Cº ?
(a)
(c)
1
(a)
By increasing its speed by 8% a bas Can reach 15 minuts
early what is the normal time taken by the bus to reach
its Destination ?
(a)
n3 
n2 - 4n + 1 = 0
9.
D
E
E
(a)
160º
(b) 120º
(c)
180º
(d) 210º
(a)
7
(b) 9
(c)
12
(d)
15.
tan θ 
16.
1
2
tan θ
tan 2 θ 
(a)
2
(b) 4
(c)
8
(d) 16
1
tan 2 θ
=
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
17. In the given figar, ABC is an Isosceles Triangle in which
17.
AB = AC & ABC  50º , BDC  ?
ABC
ABC 50º
AC
AB =
BDC  ?
A
A
D
D
50
50
C
B
C
B
E
E
(a) 80
(b) 60
(c) 65
(d) 100
18. The number of zeros at the end of the product of the
expression
10 × 100 × 1000 × ........... × 10000000000
(a) 50
(b) 1
(c) 101
(d) 55
19. ABCD is a parallelogram AC = 16 cm., AD = 11cm, AB
= 13 cm. then BD ?
A
(a)
(c)
80
65
(b) 60
(d) 100
18. 10 × 100 × 1000 × ........... × 10000000000
(a)
(c)
50
101
(b) 1
(d) 55
19. ABCD
11cm, AB = 13 cm
AC = 16 cm., AD =
BD
A
B
D
C
B
D
C
(a)
20
(b) 17
(c)
18
(d)
600 3 cm2
20.
(a)
(c)
20
18
(b) 17
(d) None of these
20. The area of a regular lexagon is 600 3 cm2. Determine
21.
22.
23.
24.
its perimeter.
(a) 1900
(b) 1200
(c) 1800
(d) None of these
If (x - a) is a factor of x3 - 3x2 a + 2a2 x + b, then find the
value of b ?
(a) 9
(b) 1
(c) 2
(d) 3
By Selling 12 apples for a rupees, a man loses 20%.
How many for a rupee should be sell to gain 20% ?
(a) 10
(b) 16
(c) 6
(d) 8
11
If (x + 1) is divided by x+1 then the remainder is
(a) o
(b) 1
(c) 2
(d) 10
If θ is an acute angle & Sin θ = Cos θ , find the value of
2 tan2 θ + Sin2 θ - 1
(a) 2
(b) 3/2
(c)
(d)
1
(a)
1900
(c)
1800
(b) 1200
(d)
3
(x - a) x - 3 a + 2a2 x + b
21.
x2
(a)
(c)
9
2
(b) 1
(d) 3
(a)
(c)
10
6
(b) 16
(d) 8
b=
22.
(x11 + 1)
23.
(a)
(c)
24.
o
2
x+1
(b) 1
(d) 10
Sin θ = Cos θ
θ
Sin2 θ - 1
(a) 2
(b) 3/2
(c)
(d)
1
2 tan2 θ +
2 1
2 1
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
1
1
 14, then 36 n 2 
?
6n
49n 2
196
(b) 256
142
(d) 13
25. If 7 n
(a)
(c)
(a)
(c)
26. Four balls put on a table in such a way that each ball
touches two other ball. A fifth ball also out in such a
way that it touches each ball. If the radius of each
ball is 20cm. Then find the diameter of fifth ball?
(a) 20
(c)


(d) 40

(a) 1
(b) 2 2
(c) 2
(d) 3 3
1 - 0.75

x
1
x
(c)
?
28.
(a) 90º
(b) 60º
(c) 45º
(d) 30º
30. The angles of depression of two ships from the top
of the light house are 45º and 30º towards east. It the
ships are 100 m apart, then the height of the light
house is?
29.
3 1
m
(b)
50
3 1
(c)
m2 n2
m2 n2
m2  n 2
m2  n 2
m2  n 2
2mn
(b) 40 2
(d) 40
20 2


2 1
1
x
x
(a) 1
(b) 2 2
(c) 2
(d) 3 3
(.75) 3
 (0.75  (0.75) 2  1) :
1 - 0.75
(b) 1
(d) 2
1: 3
1: 3
(a) 90º
(c) 45º
(b) 60º
(d) 30º
30.
45º
(a)
(x
, then the value of tan θ ?
(b)

2 1
(a) 4
(c) 3
50( 3  1) m
32. If sin sinθ 
(a)
?
49n 2
(b) 256
(d) 13
30º
m
(d) 50( 3  1) m
31. Find the LCM of (x + 2)2 (x - 2) &
4x - 12):
(a) (x + 2) (x - 2)
(b) (x + 2)3 (x - 2) (x -6)
(c) (x + 2) (x - 2)2
(d) (x + 2)2 (x - 2) (x - 6)
(c)
1
36 n 2 
x  3 2 2
27.
 (0.75  (0.75) 2  1) :
50

(a) 20
(a) 4
(b) 1
(c) 3
(d) 2
29. The ratio of the length of a rod and its shadow is
1 : 3 . The angle of elevation of the sun is?
(a)
6
196
142
 14
26.
2  1 cm
27. If x  3 2 2 , then the value of
28.
3
2  1 cm (b) 40 2 cm
20 2
(.75) 3
1
7n
25.
2mn
m2  n2
m2  n 2
(d)
2mn
2
-
50
(b)
3 1
50
3 1
(c) 50( 3  1)
(d) 50( 3  1)
2
31. (x + 2) (x - 2)
(x2 - 4x - 12)
LCM
(a) (x + 2) (x - 2)
(b) (x + 2)3 (x - 2) (x -6)
(c) (x + 2) (x - 2)2
(d) (x + 2)2 (x - 2) (x - 6)
sinθ 
32.
(a)
(c)
m2 n2
m2  n 2
m n
2
θ
m2 n2
2
m2  n 2
2mn
(b)
(d)
2mn
m2  n2
m2  n 2
2mn
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
33. Find the value of x in the given figure ?
D
A
120º
B
2x
(a) 30º
(c) 45º
34. If x 
(c)
9
2
%
11
1
%
11
D
A
120º
B
2x
x
x
C
C
(b) 40º
(d) 60º
1
1
 2 , x  0 , then x 2  3 :
x
x
18
x
E
(a) 1
(b) 2
(c) 3
(d) 4
35. A grocer sells rice at 30% profit but by mistake he
uses 1100 gm instead of 1000 gm. What is the actual
profit of grocer ?
(a)
33.
(b) 6
(a) 30º
(c) 45º
x
34.
1
 2,x  0
x
(a) 18
(c)
9
x 2
1
3:
x
(b) 2
(d) 4
30
35.
(d) None of these
36. A hall-room 39m 10 cm. long and 35m 70cm broad
is to be paved with equal square tiles. Find the largest tile so that the tiles exactly fit.
(a) 1.72m.
(b) 1.73m
(c) 1.70 m
(d) 1.75m
37. Three cubes of metals whose edges are 3, 4 and 5 cm
resp. are melted and formed into a single cube. if
there be no loss of metal in the process find the side
of the new cube.
(a) 2 cm
(b) 12 cm
(c) 8 cm
(d) 6 cm
38. A sum of Rs. 731 is divided among A, B, and C.
Such that 'A' receive 25% more than 'B' and B receive 25%. less than 'C'. What is C's share in the
amount?
(a) Rs 172
(b) Rs 262
(c) Rs. 258
(d) None of these
39. out of three numbers the sum of the first and the
second number is 73 and the sum of second and the
third number is 77. The sum of third and thrice the
first number is 104. What is the third number ?
(a) 29
(b) 25
(c) 39
(d) Connot be determined
40. The Circumference of the following figure is?
(b) 40º
(d) 60º
(a) 1
(c) 3
1
%
11
E
2
%
11
1
%
11
(b) 6
1
%
11
(d)
36.
(a) 1.72m.
(c) 1.70 m
(b) 1.73m
(d) 1.75m
37.
(a) 2
(c) 8
38.
A, B
(b) 12
(d) 6
C
B, C
(a) Rs 172
(c) Rs. 258
(b) Rs 262
(d)
(a) 29
(c) 39
(b) 25
(d)
A, B
C
39.
40.
(a)
(20  10 π)
(b) 20π
(c)
10 π
(d) 30 π
(a)
(20  10 π)
(b) 20π
(c)
10 π
(d) 30 π
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
41. The ares of a Sector of a Circle of radius 8 cm. formed
by an are of lenght 5.6 cm is?
(a) 2.24 cm2
(b) 22.4 cm2
(c) 56 cm2
(d) None of these
42.
(2.3)
3
 0.027
41.
(a) 2.24
(c) 56

(2.3)  0.69  0.09
2
(a) 2.6
(c) 1.3
42.
(b) 2
(d) 1
43. If 1  tan θ  2 , than the value of cot θ -1?
(a) 1 / 2
(b) 2
(c) 2
(d) 1/2
44. Which one is the solution of the equations-
(2.3)
4
(a) 52
(c) 54
(b) 58
(d) 512
48. There were 35 Students in a hostel. If the number of
student's increases by 7,. the expenses of the mess
increase by Rs. 42 Per day While the average expenditure per head diminishes by Rs 1. Find the average
Expenditure of the mess ?
(a) 7
(b) 12
(c) 14
(d) 9
49. Cosec2 90º + Sec2 30º + tan2 30º + tan2 60º + sin2 0º
+ cosec2 60º:
(a) 1
(b) 0
(c) 9
(d) 7
50. What would be the remainder if
2x3 - 3x2 + 4x - 1 is divided by (x - 1)?
(a) -10
(b) 2
(c) -1
(d) 10

(2.3)  0.69  0.09
(a) 2.6
(c) 1.3
(b) 2
(d) 1
1  tan θ  2
43.
(a)
1
cot θ -1
(b)
/ 2
2
1
(c) 2
(d) /2
44.
3x  y  1 2x  y  2 3x  2y  1


3
5
6
(a) x = 2, y = 1
(b) x = 1, y = 1
(c) x = - 1, y = - 1 (d) x =1, y = 2
45.
(a)
(b)
(c)
(d)
Sin θ Sec θ Cot θ = 1
Sin θ Sec θ Cot θ = 2
Sin θ Sec θ Cot θ = 3
Sin θ Sec θ Cot θ = Sin θ
46.
(a) 32
(c) 15
4
3 6 5 9  6 3 5 9 
 
 =?
47. 

 0.027
2
3x  y  1 2x  y  2 3x  2y  1


3
5
6
(a) x = 2, y = 1
(b) x = 1, y = 1
(c) x = - 1, y = - 1 (d) x =1, y = 2
45. Which of the following statement is true ?
(a) Sin θ Sec θ Cot θ = 1
(b) Sin θ Sec θ Cot θ = 2
(c) Sin θ Sec θ Cot θ = 3
(d) Sin θ Sec θ Cot θ = Sin θ
46. The Sum of the ages of a father and his Son is 40
yrs. Also 5 year ago, the father's age was 4 times the
age of the son. What is the present age of the son?
(a) 32 years
(b) 22 years
(c) 15 years
(d) 11years
3
(b) 22.4
(d)
(b) 22
(d) 11
4
4
3 6 5 9  6 3 5 9 
 
 =?
47. 

(a) 52
(c) 54
(b) 58
(d) 512
48.
(a) 7
(b) 12
(c) 14
(d) 9
2
2
49. Cosec 90º + Sec 30º + tan2 30º + tan2 60º + sin2 0º
+ cosec2 60º:
(a) 1
(b) 0
(c) 9
(d) 7
3
2
50.
2x - 3x + 4x - 1
(x - 1)
(a) -10
(c) -1
(b) 2
(d) 10
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
51. Find the value of Cos 20º Cos 40° Cos 60º Cos 80?
51. Cos 20º Cos 40° Cos 60º Cos 80?
(a)
1/8
(b) 16
(a)
1/8
(b) 16
(c)
8
(d) None of these
(c)
8
(d)
52. In an examination a Condidate got 30% marks & fauled
by 30 marks. it the passin makes are 60% of the total
marks. then find the maximum marks ?
52.
(a)
600
(b) 300
(a)
600
(b) 300
(c)
450
(d) 100
(c)
450
(d) 100
53. A wall of lenght 10m. was to be build across an open
ground. The height of the wall is 4m. & thickness of
wall 24 cm. it this wall is to be build up with bricks wher
dimensions are
24 cm × 12 cm × 8 cm, how many
brick, would be required ?
(a)
4160
(b) 3265
(c)
4167
(d) 3271
54. If the radius of a cylinder is doubled, but hight is reduced by 50% what is the percentage Change in voulme.
(a)
50%
(b) 100%
(c)
150%
(d) 200%
55. If the numerator of a traction is increased by 800% and
the denominator is increased by 300%, the result traction is 12/7. What was the original traction ?
53.
×
(a)
4160
(b) 3265
(c)
4167
(d) 3271
(a)
50%
(b) 100%
(c)
150%
(d) 200%
54.
55.
1
(a)
13
12
(c)
11
12
(b)
4
7
(d) None of these
56. In an election of two Candidates, the Candidate who gets
21% is retected by a majority of 2900 votes. Find the
total no of votes polled ?
(a)
5500
(b) 5000
(c)
4500
(d) 6000
57. One-third of a certain journey is covered at the rate of
25 km / hr one - fourth at he rate of 30 km/hr and rest of
at 50 km/ hr. Find the average speed for the whole Journey ?
(a)
662/3 km/hr
(b) 162/3 km/hr
(c)
331/3 km/hr
(d) 81/3 km/hr
(b) 25 cm2
(c)
15 cm2
(d) 45 cm2
4
7
13
12
(b)
(c)
11
12
(d)
(a)
5500
(b) 5000
(c)
4500
(d) 6000
56.
57.
Y
(a)
58. The base area of a pyramid of the voulme 100 cm &
height 12 cm is
30 cm2
2
7
(a)
2
6
6
3
(a)
×
/3
Y
(b) 162/3
(c)
331/3
(d) 81/3
(a)
30
(b) 25
(c)
15
(d) 45
58.
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
59. Find the area of the shaded region in the given figer of
square ABCD ?
D
6
59.
ABCD
D
6
C
C
16
8
16
8
A
A
B
(a)
168
(b) 148
(c)
128
(d) 192
(a)
8%
(b) 4%
(c)
6%
(d) 9%
B
(a)
168 cm2
(b) 148 cm2
(c)
128 cm2
(d) 192 cm2
60. The compound interst on a certain sum is Rs 104 for 2
yers simple interst is Rs 100. What is the rate percent ?
(a) 8%
(b) 4%
(c) 6%
(d) 9%
61. Find the LCM of (x + 2)2 (x - 2) & x2 - 4x - 12 ?
(a) (x + 2) (x - 2) (b) (x + 2)3 (x - 2) (x - 6)
(c) (x + 2) (x-2)2
(d) (x + 2)2 (x - 2) (x - 6)
62. A Sum of money becomes 3/2 times in 12 years. In how
60.
61. (x + 2)2 (x - 2)
x2 - 4x - 12
(a)
(x + 2) (x - 2)
(b) (x + 2)3 (x - 2) (x - 6)
(c)
(x + 2) (x-2)2
(d) (x + 2)2 (x - 2) (x - 6)
62.
81
16
81
many years it will become
times at the same rate of
16
compound interest ?
(a) 18 yrs
(b) 27 yrs
(c) 48 yrs
(d) 36 yrs
63. The largest trianle is inscribed in a smi - circle of radius
14 cm. Find the area inside the semi-circle which is not
occupied by the trianle.
(a) 86 cm2
(b) 112 cm2
(c) 56 cm2
(d) 140 cm2
4
2
64. If Cos x + cos x = 1, then, tan4x + tan2x = ?
(a) Cos2 x
(b) Sin2 x
(c) 0
(d) 1
65. If Cos θ + Sec θ = 2, then find the value of sin4 θ +
(a)
18
(b) 27
(c)
48
(d) 36
63.

(a)
86
(b) 112
(c)
56
(d) 140
Cos4x + cos2x = 1,
64.
tan4x + tan2x
(a)
Cos x
(b) Sin2 x
(c)
0
(d) 1
65.
2
Cos θ + Sec θ = 2
sin4 θ + cos4 θ Cos4 θ
cos4 θ Cos4 θ =?
(a)
(c)
2
8
66. If π 
(b) 22
(d) 1
22
, then find out the value of 1 radian ?
7
(a) 57º16'22"
(b) 57º15'22"
(c) 57º16'20"
(d) 57º15'20"
67. The difference between the interest received from two
different banks on Rs. 500 for 2 years is Rs. 2.50. The
difference between their rates is ?
(a) 0.21%
(b) 0.22%
(c) 0.25%
(d) 0.27%
(a)
2
(b) 22
(c)
8
(d) 1
π
66.
22
7
(a)
57º16'22"
(b) 57º15'22"
(c)
57º16'20"
(d) 57º15'20"
(a)
(c)
0.21%
0.25%
67.
(b)
(d)
0.22%
0.27%
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
8
68. A shopkeeper sells an article for 10% profit. If he buys it
3
for 4% loss and sells it for 18 % profit then he gets Rs.
4
10 more. What is the original cost price?
(a) 250
(b) 200
(c) 255
(d) 20
69. A sells a pen to B at a gain of 20% and B sells it to C at
gain of 10% and C sells it to D at a gain of 12.5%. If D
pays Rs. 14.85, what did it cost A?
(a) Rs. 6
(b) Rs. 8
(c) Rs. 10
(d) Rs. 12
70. A prism has trianular Base. Its sides are 5 am, 12 cm &
13 cm. It its height is 10 cm, find the total surface are of
prism ?
(a) 320
(b) 360
(c) 380
(d) 400
Direction (71-75): Study the following gaph corefully
to answer the question that follows.
Total No. of Males & Females in five Different
organisation.
Male
68.
3
18 %
4
10
(a)
(c)
69. A
B
(b)
(d)
B
200
20
20%
B
C
14.85
D
D
C
10%
12.5%
A
(a)
6
(b)
8
(c)
10
(d)
12
(a)
(c)
320
380
(b) 360
(d) 400
70.
Female
5000
4500
4000
3500
3000
2500
2000
1500
1000
500
A
250
255
D
C
Organisation
iq #"k
5000
4500
4000
3500
3000
2500
2000
1500
1000
500
E
A
71. What is the ratio of the num,ber of femal from
organisation C to the number of females from
organesation E ?
(a) 15 : 16
(b) 16: 15
(c) 14 : 15
(d) 15 : 14
72. What is the average number of females from all the
organisations together ?
(a) 3800
(b) 3650
(c) 3300
(d) 3150
73. The number of males from organisation A is approximately what percent of the total number of males from
all the organiation together ?
(a) 19%
(b) 25%
(c) 12%
(d) 31%
74. What is the Differnce between male from organisatio A
& B & female from organisation C & D ?
(a) 2250
(b) 2500
(c) 2700
(d) 3300
75. The total no. of males from organisation A & B together
is approximatily what percent of the total number of
males from organisation C, D, & E together ?
(a) 58
(b) 78
(c) 98
(d) 118
efgyk
B
C
D
E
laxBu
71.
C
E
(a)
(c)
15 : 16
14 : 15
(b) 16: 15
(d) 15 : 14
(a)
(c)
3800
3300
A
(b) 3650
(d) 3150
19%
12%
74.
A
D
(a) 2250
(c) 2700
75.
A
D
E
(b) 25%
(d) 31%
72.
73.
(a)
(c)
(a)
(c)
58
98
B
C
(b) 2500
(d) 3300
B
C,
(b) 78
(d) 118
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
1
5
76. If Sin A  Sin A  2 and angle A is acute, then the
1
5
Sin A  Sin A  2
76.
A
measure of angle A is ?
(a)
π
6
(b)
(c)
π
3
(d) None of these
π
4
77. Two pipes A and B can fill a tank in 24 minutes and 32
minutes respectively. If both the pipes are opened simultaneously, after how much time should B be closed so
that the tank is full in 18 minutes ?
(a)
π
6
(b)
(c)
π
3
(d)
77.
A
π
4
B
B
(a)
2 min.
(b)
4 min.
(a)
2
(b)
4
(c)
6 min.
(d)
8 min.
(c)
6
(d)
8
(a)
(c)
14
22
(b)
(d)
21
48
(a)
3
(b)
6
(c)
9
(d)
12
(a)
(c)
116
124
(b)
(d)
122
126
(a)
5
(b)
7
(c)
3
(d)
78. Three sets of English, Mathematics and Science books
containing 336, 240, 96 books respectively have to be
stacked in such a way that all the books are stored subject-wise and the height of each stack is the same. Total
number of stacks will be?
(a)
14
(b)
21
(c)
22
(d)
48
78.
79.
79. A milk vendor has 21 litres of cow milk, 42 litres of
toned milk and 63 litres of double toned milk. If he wants
to pack them in cans so that each can contains same
number of litres of milk and does not want to mix any
two kinds of milk in a can, then the least number of cans
required is?
(a)
3
(b)
6
(c)
9
(d)
12
80.
80. A certain number of men complete a work in 160 days.
It there were 18 men more, the work could be finished
in 20 dyas less. How many men were originally there ?
(a)
116
(b)
122
(c)
124
(d)
126
81. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days
will 5 women and 10 children take to complete the work?
(a)
5
(b)
7
(c)
3
(d)
none of these
82. Four Examiners Can examine a certain number of
answer paper in 10 days by working for 5 hours day.
For how many hours a day would 2 examiners have
to work in order to examine twice the number of answer papers in 20 days ?
81.
82.
(a) 8 hour
(b) 71/2 hour
(a) 8
(b) 71/2
(c) 81/2 hour
(d) 10 hours
(c) 81/2
(d) 10
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
83. If AD : CB = 2 : 3 and O A : OC : = 4 : 7, then OD
: OB = ?
83.
O A : OC : = 4 : 7,
C
A
AD : CB = 2 : 3
0
OD : OB = ?
C
A
0
B
D
(a) 4 : 7
(b) 12 : 14
(c) 7 : 4
(d) 14 : 12
84. A Car Covers tth first 30 km. of its journey in 45
minutes and the remaining 25 km in 35 minutes. What
is the averge speed of the Car?
(a) 40 km/hr
(c)
1
41 km/hr
4
B
D
(a) 4 : 7
(b) 12 : 14
(c) 7 : 4
(d) 14 : 12
(a) 40 km/hr
(b) 64 4 km/hr
84.
1
(b) 64 4 km/hr
1
(d) 48 km/hr
85. In a class, the average of boys and girls is A. The ratio of
boys and girls is 3:1. If the average of the marks obtained by boys is A+1, then find the average of marks
obtained. by girls.
(a)
A+3
(b)
A+1
(c)
A+2
(d)
3
86. In a group of 3 numbers, the 1st is double of 2nd and
half of third. If the average of the three numbers is 56
then find the difference between the third and first number.
(c)
41
1
4 km/hr
(d) 48 km/hr
85.
A
3:1
A+1
(a)
A+3
(b)
A+1
(c)
A+2
(d)
3
86.
(a)
48
(b)
43
(a)
48
(b)
43
(c)
45
(d)
40
(c)
45
(d)
40
87. A, B and C invested capitals in the ratio 2:3:5; the timing of their inverstments being in the ratio 4:5:6. In what
ratio would their profit be distributed.
(a)
6 : 12 : 32
(b)
8 : 15 : 30
(c)
12 : 32 : 18
(d)
6 : 32 : 12
88. A trains passed two bridges of lengths 800 m and 400 m
in 100 seconds and 60 seconds respectively. The length
of the train is?
(a)
80 m
(b)
90 m
(c)
200 m
(d)
150 m
89. How Long will a man take to go, walking at 13.2
Km/h round a circular garden of 700 m radius ?
(a) 12 minute
(b) 30 minute
(c) 20 minute
(d) None of these
87. A, B
C
2:3:5
4:5:6.
(a)
6 : 12 : 32
(b)
8 : 15 : 30
(c)
12 : 32 : 18
(d)
6 : 32 : 12
88.
800
100
400
60
(a)
80
(b)
90
(c)
200
(d)
150
89.
(a) 12
(b) 30
(c) 20
(d)
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
90. Four isoseclles triangles are cut off from the corners
of a square of area 400m2. Find the area of new
Smaller square.
(a)
(b)
200 2 m 2
2
200
2
90.
m2
(a)
200
(b)
2
200
2
2
(c) 200 m
(d) 100 2 m
91. In the adjoining figure BD is the diameter of the Circle
and BCA = 41º Find ABD ?
D
(c) 200
(d) 100 2
91.
BD
BCA = 41º ABD
C
0
D
41º
C
0
41º
B
A
B
A
(a) 41º
(b) 49º
(c) 22.5º
(d) 20.5º
92. If ax = by = cz & abc = 1, then xy + yz + zx is equal
to?
(a) xyz
(b) x + y + z
(c) 0
(d) 1
93. A train cross a teligraph pole in 8 Second and Cross
a bridge of lenght 200m in 24 Second. Find lenght of
train?
(a) 100 m
(b) 120 m
(c) 140 m
(d) 160 m
94. If 1 
(a) 41º
(b) 49º
(c) 22.5º
(d) 20.5º
ax = by = cz
92.
abc = 1
(a) xyz
(b) x + y + z
(c) 0
(d) 1
(a) 100
(b) 120
(c) 140
(d) 160
93.
93
x
1
the value of x ?
196
14
1
94.
93
x
1
196
14
x
(a) 1
(b) 2
(c) 3
(d) 4
(a) 1
(b) 2
95. If m man Can do a piece of work in p days. then (m
+ n) men Can do the same work in how many day?
(c) 3
(d) 4
(a) (p + n) days
(c)
p
m  n days
mp
(b) m  n days
mn
(d) p days
xy + yz + zx
95.
m
p
(m
+ n)
(a) (p + n)
(c)
p
m n
mp
(b) m  n
(d)
mn
p
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
Direction (Q. 96-100): Study the following table
carfully and answer the questions given below.
(Production of Rice)
(Production of Rice)
State
2002
1500
1250
1160
1520
1440
1600
A
B
C
D
E
F
2003
1480
1190
1190
1500
1350
1620
Years
2004 2005
1620 1700
1400 1450
1310 1300
1480 1590
1430 1280
1510 1610
2006
1540
1320
1340
1630
1380
1580
96. In which state has production of rice increased over
the years?
(a) A
(b) B
(c) D
(d) None of these
97. In which year was the production of rice the highest
in all the states together?
(a) 2007
(b) 2002
(c) 2005
(d) 2006
State
2007
1650
1360
1360
1580
1400
1590
(b) D
(c) C
(d) A
(c) 138: 152
(d) 276: 317
100. Rice produced by state C in the year 2005 is approximately what percent of the rice produced by
state A is the same year?
(a) 82
(b) 72
(c) 88
(d) 76
2007
1650
1360
1360
1580
1400
1590
(a) A
(b) B
(c) D
(d)
(a) 2007
(b) 2002
(c) 2005
(d) 2006
(a) E
(b) D
(c) C
(d) A
98.
99.
(b) 310: 317
2006
1540
1320
1340
1630
1380
1580
97.
99. What is the ratio of the average quantity of rice produced by state B to the average quantity of rice produced by state F over the years?
(a) 69: 79
2003
1480
1190
1190
1500
1350
1620
96.
98. Which State produced the lowest quantity of rice over
the years.?
(a) E
2002
1500
1250
1160
1520
1440
1600
A
B
C
D
E
F
Years
2004 2005
1620 1700
1400 1450
1310 1300
1480 1590
1430 1280
1510 1610
B
F
(a) 69: 79
(b) 310: 317
(c) 138: 152
(d) 276: 317
100.
C
A
(a) 82
(b) 72
(c) 88
(d) 76
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