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1. ABCD is a parallelogram, E and F are the mid-points of
BC and CD. Find the ratio of area of parallelogram ABCD
and AEF .
ABCD E F BC
CD ABCD AEF
(a) 2 : 1 (b) 4 : 1
(c) 8 : 3 (d) 8 : 1
2. In a quadrilateral ABCD, OA and OB are the angle bi-
sectors of DAB and CBA . If ADC 70º and
BCD 80º then find AOBABCD OA OB, DAB CBA
ADC 70º BCD 80º
AOB(a) 70º (b) 80º
(c) 90º (d) 75º
3. Let ABC be isosceles with ABC ACB 70º .
Let D and E be the points on sides AB and AC respec-
tively such that BCD 40º and CBE 55º .
Then BED is-
ABCABC ACB 70º D E
AB AC BCD 40º
CBE 55º BED(a) 63º (b) 12º
(c) 51º (d) 20º
4. The remainder when 1919 + 6 is divided by 8 is :
1919 + 6
(a) 5 (b) 1
(c) 2 (d) 3
5. If a , b are rational numbers and
( –1) ( 2 3) 2 a b a , then value of ( )a b is :
a, b
( –1) ( 2 3) 2 a b a ( )a b
(a) – 3 (b) 2
(c) – 5 (d) 3
6. A number when divided by 10 leaves a remiander 9,
when divided by 9 leaves a remainder 8, when divided
by 8 leaves a remainder 7 ............ When divided by 2
leaves a remainder 1. Determine the number.
(a) 31 (b) 1029
(c) 2519 (d) 1679
7. 3 61 2 . 3 – 2 2 = ?
(a) None of these (b) 2 – 1
(c) 1 (d) 3 – 2 2
8. There are 850 students in a class. Out of these, 44% are
Muslims, 28% are Hindus, 10% are Sikhs and remain-
ing students belong to the other communities. How
many students are there of other communities?
(a) 173 (b) 143
(c) 153 (d) 163
9. The average age of 11 players of a cricket team is
increased by 2 months when two of them aged 18 years
and 20 years are replaced by two new players . The
average age of the new players is
(a) 19 years 1 month (b) 19 years 6 month
(c) 19 years 11 month (d) 19 years 5 month
10. A bag contains an equal number of 1 rupee, 50 paise
and 25 paise coins respectively. If the total value is Rs.
35, how many coins of each type are there?
(a) 20 coins of each type (b) 21 coins of each type
(c) 24 coins of each type (d) 22 coins of each type
11. A vessel of capacity 2 litre has 25% alcolol and
another vessel of capacity 6 litre has 40% alcolol.
The total liquid of 8 litre is poured out in a vessel
of capacity 10 litre and the rest part of the vessel
is filled with water. What is the new concentra-
tion of mixture?
(a) 29 % (b) 20 %
(c) 21 % (d) 30 %
12. A, B and C working together completed a job in 10
days. However, C only worked for the first three days
when 37
100 of the job was done. Also, the work done by
A in 5 days is equal to the work done by B in 4 days.
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How many days would required by C to complete the
entire work?
A , B C
C
37
100B
A, 5
C
(a) 20 days (b) 25 days
(c) 30 days (d) 40 days
13. 5 kg of butter was bought by a shopkeeper for Rs. 300.
One kg become unsaleable. He sells the remaining in
such a way that on the whole he occurs a loss of 10%
. At what per kg was the butter sold?
(a) Rs. 67.50 (b) Rs. 52.50
(c) Rs. 60 (d) Rs. 72.50
14. By what % must the cost of goods be marked up so
that even after a discount of 20% the same amount is
recovered as before the discount?
(a) 20 (b) 25
(c) 40 (d) 10
15. A certain sum is invested for T years. It amounts to Rs.
400 at 10% per annum. But when invested at 4% per
annum, it amounts to Rs. 200. Find the time (T).
T
(a) 41 years (b) 39 years
(c) 50 years (d) None of these
16. The difference between simple interest and compound
interest on a certain sum of money for three years at
10% per annum is Rs. 15 and 50 paise. The sum is:
(a) Rs. 5,000 (b) Rs. 550
(c) Rs. 5,500 (d) Rs. 500
17. Two trains of length 190 m and 210 m respectively, are
running in opposite directions on parallel tracks. If their
speeds are 40 km/hr and 32 km/hr respectively in what
time will they cross each other?
(a) 20 seconds (b) 22 seconds
(c) 25 seconds (d) 30 seconds
18. Ajay and Anuj left Delhi simultaneously and travelled
towards Goa. Ajay's speed was 15 km/h and that of
Anuj was 12 km/h. Half an hour later, Rekha left Delhi
and travelled in the same direction. Some time later,
she overtook Anuj and 90 minutes further on he over-
took Ajay. Find Rekha speed.
(a) 18 km/h (b) 24 km/h
(c) 20 km/h (d) 16 km/h
19.1 1 1 1 1 1 1 1
?20 30 42 56 72 90 110 132
(a)1
8(b)
1
7
(c)1
6(d)
1
10
20. If sin θ.sec(30º θ) 1 where(0 θ 60º ) then the
value of sin θ cos 2θ is :
sin θ.sec(30º θ) 1 (0 θ 60º )
sin θ cos 2θ
(a) 1 (b)2 3
2 3
(c) 0 (d) 2
21. If ( ) , ( ) ,x y y za x y z a x y z
( )z xa x y z then :
(a) 3( )x y z a (b) 2a x y z
(c) 0x y z (d)3
ax y z
22. If cos18º – sin18º 2 sin A . Then value of tan5A +
cot5A + sin5A + cos5A is :
cos18º – sin18º 2 sin A tan5A + cot5A +
sin5A + cos5A
(a) 1 (b) 2
(c) –1 (d) –2
23. ABCD is a cyclic quadrilateral in which AB is a diam-
eter, BC = CD and ABD = 50º then DBC is :
ABCD AB BC = CD
ABD = 50º DBC(a) 25º (b) 20º
(c) 45º (d) 30º
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24. If sin θ and cosθ are the roots of the equation
2 – 0ax bx c , then which of the following selec-
tion is correct :
sin θ cosθ 2 – 0ax bx c
(a) 2 2 2 0a b ac
(b) 2 2– 2 0a b ac
(c) 2 2 – 2 0a b ac
(d) 2 2– – 2 0a b ac 25. A horse and a cow were sold for Rs. 12000 each. The
horse was sold at a loss of 20% and the cow at a gain
of 20%. The entire transaction has resulted in
(a) Profit of Rs. 1000 (b) Loss of Rs. 1000
(c) Loss of Rs. 500 (d) No profit no loss
26. What annual instalment will discharge a debt of Rs.
1092 due in 3 years at 12% simple interest?
(a) 300 (b) 325
(a) 350 (d) 375
27. (sec20º cot 70º 1).(cosec20º – tan 70º –1) = ?
(a) – 1 (b) 2
(c) 1 (d) – 2
28. The value of the expression
4 3 2– 17 17 – 17 17x x x x at x = 16 is :
x = 16 4 3 2– 17 17 – 17 17x x x x
(a) 0 (b) 1
(c) 33 (d) 15
29. There are two mixtures containing Gold, silver and
platinum. First mixture contains 40% platinum and sec-
ond mixture contains 26% silver. The percentage of
gold in both mixtures are same. If 150 kg of first mixture
is mixed with the 250 kg of second mixture then the
percentage of Gold in resultant mixture is 30%. Find
the quantity of platinum in the resultant mixture.
40% 26%
150
250
30%
(a) 110 kg (b) 170 kg
(c) 90 kg (d) 85 kg
30.
A
B
C
O
M
In the figure given above, O is the centre of the circle
OA = 3 cm, AC = 3 cm and OM is perpendicular to AC.
What is ABC equal to ?
O OA = 3 AC =
3 OM, AC ABC(a) 60º (b) 45º
(c) 30º (d) 90º
31. A and B enter into partnership . A supplies whole of the
capital amounting to Rs. 45000 with the condition that the prof-
its are to be equally divided and that B pays A interest on half of
the capital at 10% per annum, but receives, Rs. 120 per month for
carrying on the concern. When B's income in one-half of A's
income their total yearly profit is :
A B A
B A
B A
(a) Rs. 9180 (b) Rs. 7150
(c) Rs. 3060 (d) Rs. 1440
32. If 1
1xx
then
52 46 32 26 21 15 6 3 4x x x x x x x x is
equal to
11x
x
52 46 32 26 21 15 6 3 4x x x x x x x x
(a) 0 (b) 3
(c) 4 (d) 2
33. A man rowed against a stream flowing 1
12
km/hr to a
certain point and then turned back, stopping 2 km,
short of the place where he originally started. If the
whole time occupied in rowing be 2 hr 10 min and his
uniform speed in still water be 1
42
km/hr. Find the
distance the man went up the stream.
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11
2
14
2
(a) 7 km (b) 3.5 km
(c) 4 km (d) 5 km
34. tan 40º + 2tan10º = ?
(a) 0 (b) tan 50º
(c) 2 tan50º (d) 1
35. In a quadrilateral ABCD, D 270º then tanA. tanB
+ tanB. tanC + tanC. tanA = ?
ABCD D 270º tanA. tanB +
tanB. tanC + tanC. tanA = ?
(a) 0 (b) 1
(c) 3 (d) Can't determined
36. AB is a diameter of radius 4.5 cm circle. P is any point
on the circumference of such that PN AB . If length
of chord PB is 6 cm. then BN = ?
AB P,
PN ABPB BN = ?
(a) 5 cm (b) 4 cm
(c) 6 cm (d) 4.5 cm
37. A person saves 6% of his income. Two years later, his
income sharts up by 15% but his savings remain the
same. Find the like in his expenditure.
(a) 15.95% (b) 15%
(c) 14.8% (d) 15.5%
38. A dishonest dealer marks up the price of his goods by
20% and gives a discount of 10% to the customer,
Besides, he also cheats both his supplier and his buyer
by 100 grams while buying of selling 1 kilogram. Find
the percentage profit earned by the shopkeeper?
(a) 20% (b) 25%
(c) 32% (d) 27.5%
39. In given figure, a rectangle ABCD is inside a circle.
Side AB is greater than BC. The ratio of area of circle to
rectangle ABCD is π: 3 . Line segment AE intersect
CD at E where OAB EAD . Find the ratio of AE
to AD.
O ABCD
AB BC
ABCD π: 3 AE,
CD E
OAB EAD . AE AD
D C
BA
E
O
(a) π : 3 (b) 1 : 2
(c) 3 : 2 (d) 2 : 3
40. In a triangle ABC, angle bisector of BAC cut the
side BC at D and meet the circumcircle of ABC at
E. If AC = 4 cm, AD = 5 cm, DE = 3 cm. Find the
length of AB.
ABC BAC BC D
ABC E
AC = 4 AD = 5 DE = 3 AB
(a) 10 cm (b) 9.6 cm
(c) 12 cm (d) 9 cm
41. If 2 2tan α = 1 + 2tan β , then 2 cosα + cosβ is
equal to (if 0 α 90ºand 90º β 180º )
2 2tan α = 1 + 2tan β 2 cosα + cosβ
(0 α 90ºand 90º β 180º )
(a) 2 2 cosα (b) 0
(c) 2cosβ (d) 1
42. A takes 7 days more than B to do a certain job and 16 days
more than C. A and B together can do the job in the same
time as C. How many days A & C would take to do it?
A , B C
A B
C
A C
(a) 40 (b) 28
(c) 21 (d) 8.4
43. A and B completed a work together in 8 days. Had A
worked at twice the speed and B at one-third of his speed
it would have taken them 6 days to complete the job. How
much time would it take for B alone to do the work?
A B A
B 1/3
B
(a) 10 (b) 20
(c) 15 (d) 25
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44. If the digits of the age of Mr. Suman are reveresed then
the new age so obtained is the age of his wife . 1/11 of
the sum of their ages is equal to the differecne be-
tween their ages. If Mr. Suman is elder than his wife
then find the age of the Suman'S wife.
(a) 45 (b) 54
(c) 66 (d) can't determined
45. The sum of four numbers is 64. If you add 3 to first number
, 3 is subtracted from the second number, the third is multi-
plied by 3 and the fourth is divided by 3, then all the results
become equal. What is the difference between the largest
and the smallest of the original numbers ?
(a) 32 (b) 27
(c) 21 (d) None of these
46. A tower standing on a horizontal plane subtends a
certain angle at a point 160 m apart from the foot of the
tower. On advancing 100 m towards if, the tower is
found to subtend an angle twice as before. The height
of the tower is -
(a) 80 m (b) 100 m
(c) 160 m (d) 200 m
47. In a ABC, AD is a median . The bisectors of ADBand ADC meet AB and AC at E and F respectively . If
the ratio of AE : BE = 2 : 3, then find the ratio of EF : BC.
ABC AD ADB ADCAB AC E F
AE BE EF
BC
(a) 2 : 5 (b) 4 : 3
(c) 7 : 3 (d) 3 : 7
48. Find the area of a trapezium ABCD in which AB||DC,
AB = 26 cm, BC = 25 cm, CD = 40 cm and DA = 25 cm .
ABCD AB||DC,
AB = 26 BC = 25 CD = 40 DA =
25
(a) 648 cm2 (b) 792 cm2
(c) 660 cm2 (d) 798 cm2
49. One children's day sweets were to be equally distributed
among 175 students in a school. Actually on that day 35
children were absent and therefore each child got 4 sweet
extra. How many sweets were available in all for distribution?
(a) 2750 (b) 2672
(c) 2675 (d) 2800
50. A builder decided to build a farmhouse in 45 days. He
employed 106 men in the beginning and 53 more after 35
days and completed the construction in stipulated time.
If he had not employed the additional men, how many
days behing schedule would it have been finished?
(a) 5 days (b) 6 days
(c) 8 days (d) 10 days
51. The effective anuual rate of interest corresponding to a
nominal rate of 8% per annum payable half-yearly is :
(a) 8% (b) 8.64%
(c) 8.16% (d) 6.09%
52. If the interior angles of a polygon are in A.P. with com-
mon difference 5º and the smallest angle 120º , then the
number of sides of the polygon is:
(A.P.)
5º 120º
(a) 9 or 16 (b) 9
(c) 13 (d) 3 or 16
53. 3 cosec20º – sec20º = ?
(a) –1 (b) 1
(c) 4 (d) – 4
54. ABC is right angled at A and AB = 10 units. AC = 30
units and AD is perpendicular to BC. What is the area
of the ADB ?
ABC, A AB = 10 AC = 30
AD, BC ADB
(a) 20 (b) 18
(c) 15 (d) 150
55. The compound interest on Rs. 5000 for 3 years at 8% for first
year, 10% for second year and 12% for third year, will be
(a) Rs. 1652.80 (b) Rs. 1560.40
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(c) Rs. 1565.40 (d) Rs. 1500
56. x varies inversely as the square of y in such a way that,
if x = 1, then y = 6, If y = 3, then what is the value of x ?
x, y x = 1, y = 6
y = 3, x
(a) 1/3 (b) 1/2
(c) 2 (d) 4
57. An aeroplane firles alone the four sides of a square at
a speed of 100, 200, 300 and 400 km/h, respectively .
What is the average speed of the plane in its flight
around the square?
(a) 196 km/h (b) 200 km/h
(c) 250 km/h (d) 192 km/h
58. A trader marked a watch 40% above the cost price and
then gave a discount of 10% . He made a net profit of
Rs. 468 after paying a tax of 10% on the gross profit.
What is the cost price of the watch?
(a) Rs. 1200 (b) Rs. 1800
(c) Rs. 2000 (d) Rs. 2340
59. 1/4 3/4 1/2 1/42 – 1 2 2 2 1 ?
(a) 1 (b) 2
(c) – 1 (d) None of these
60. A man sells two horses for Rs. 38. The cost price of the
first of equal to the selling price of the second . If the
first is sold at 10% loss and the second at 25% gain,
what is his total gain or loss (in rupees)?
(a) 0.2 (b) 20
(c) 2 (d) 1
61. A fruit vendor purchased 90 dozens of bananas
at Rs. 20 per dozen. Out of this, 18 dozens got
rotten and he sold them at Rs 16 per dozen. Re-
maining bananas were sold by him at Rs. 24 per
dozen. What profit did the make in this transac-
tion?
(a) 12 % (b) 15 %
(c) 20% (d) 28%
62. If H.C.F. of x and y is z, then H.C.F. of x
z and
y
z is :
x y z x
z
y
z
(a) x (b) z
(c) y (d) 1
63. A person sells his T.V. at 25% profit of the cost price. If
he sells his T.V. at 25% profit of the selling price then
his profit is increased by (5% of C.P. + 8 Rs.). Find the
cost price of T.V.
+
(a) 640 (b) 800
(c) 632 (d) 750
64. The area of an isosceles trapezium is 176 cm2 and the
height is 2
th11
of the sum of its parallel sides. If the
ratio of the length of the parallel sides be 4 : 7, then the
length of a diagonal is :
2th
11
(a) 168 cm (b) 2 147 cm
(c) 137 cm (d) 2 137 cm
65. If 0cos sec 2 (0 90º ) , then
cos100 sin100 ?
(a) 0 (b) 1
(c) 2 (d) 3
66. A, B, C are three point on a circle. The tangent at A
meets BC produced at T, BTA 40º ,
CAT 44º . The angle subtended by BC at the cen-
tre of the circle is -
A, B, C A
BC T BTA 40º , CAT 44º
BC
(a) 84º (b) 92º
(c) 96º (d) 104º
67. A person wanted to buy some chairs whose cost
was 300 each. Seller offer him a discount such
that after buying 15 chairs. the person have to
pay the cost of 12 chairs and rest 3 chairs at Rs.
225 each. What is the discount percentage?
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(a) 5% (b) 20%
(c) 15% (d) 10%
68. If
4 4
2 2
cos sin1
cos sin
, then
6 6
4 4
cos sin?
cos sin
(a) 4 (b) 0
(c) 1/8 (d) 1
69. If the interest on Rs. 800 be more be more than the
interest on Rs. 400 by Rs. 40 in 2 years, then the rate of
interest per annum is :
(a) 5% (b)1
5 %2
(c) 6% (d) None of these
70. If ,x ya b b c and 2,xyz then zc = ?
,x ya b b c 2,xyz zc = ?
(a) a (b) b
(c) a2 (d) 1
71. In covering a distance of 30 km, Abhay takes 2
hours more than Sameer. If Abhay doubles his
speed, then he would take 1 hour less than
Sameer. Abhay's speed (in km/hr) is
(a) 5 km/hr (b) 8 km/hr
(c) 6 km/hr (d) 10 km/hr
72. Anu can complete a work in 10 days. Manu is 25%
more efficient than Annu and Sonu is 60% more effi-
cient then Manu. Working together, how long would
they take to finish the job?
(a)5
38
days (b)6
57
days
(c)6
217
days (d) None of these
73. The LCM of two positive integers is thrice the larger
number. The difference of the smaller number and the
GCD of the two numbers is 8. The smaller number is :
(a) 12 (b) 6
(c) 8 (d) 1074. A tap can fill a bath in 20 minutes and another tap can
fill it in 30 minutes . Amit opens both the taps simulta-
neously. When the both should have been full, he finds
that the waste pipe was open. He then closes the waste
pipe and in another 4 minutes the bath is full. In what
time would the waste pipe empty it?
(a) 35 minutes (b) 38 minutes
(c) 36 minutes (d) 39 minutes
75. 2 4 8x y z and xyz = 288, then value of
1 1 1
2 4 8x y z is
2 4 8x y z xyz = 288, 1 1 1
2 4 8x y z
(a)11
12(b)
11
96
(c)29
96(d)
23
4876. If the base of a parallelogram is (x + 4), altitude to the
base (x – 3) and the area is (x2 – 4) , then the actual area
is equal to .
(x + 4) (x – 3)
(x2 – 4)
(a) 64 sq units (b) 48 sq units
(c) 60 sq units (d) None of these
77. A solid spherical ball is prepared by melting a cone
and a cylinder having the same height and same base
diameter equal to 2r. Find the radius of the sphere.
2r
(a) 21/3 r (b) 21/3 r2
(c) 41/3 r (d) 181/3 r
78. 2 3 4 5 6
3 5 3 5 3 5– – – .......... ?
4 4 4 4 4 4
(a)8
15(b)
7
17
(c)7
15(d)
8
17
79. If lines 3 4 1,y x 5y x and 5 – 3y bx = 0
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are concurrent, then the value of b = ?
3 4 1,y x 5y x 5 – 3y bx = 0
b = ?
(a) 1 (b) 3
(c) 6 (d) 0
80. If 2 2( ) 36, ( ) 46,x x y z y x y z 2 ( ) 63, ( ) 111, ( ) 99z x y z xy x y z yz x y z
( ) 82zx x y z then x = ?
(a) 6 (b) 7
(c) 2 (d) 4
81. If 25cos 3cos sin – 2 A3 3
then value of A will be between?
(a) [– 7, 7] (b)3 1
5 , – 84 4
(c)3 1
–5 , 84 4
(d)
1 3–8 , 5
4 4
82. If A is third quadrant and 3tan A – 4 = 0 then
5sin 2A + 3sinA + 4 cosA = ?
A 3tan A – 4 = 0
5sin 2A + 3sinA + 4 cosA = ?
(a) 0 (b)– 24
5
(c)24
5(d)
48
5
83.1
3 cos23º – sin 23º4 = ?
(a) cos53º (b) cos7º
(c)1
cos7º2
(d)1
cos53º2
84. In a triangle ABC , B 2 C . AD and BE bisectors
of BAC and ABC . If AB = CD . Find BAC .
ABC , B 2 C AD BE BAC
ABC AB = CD BAC
(a) 36º (b) 72º
(c) 108º (d) 144º
85. The ratio of the length of the diagonal of rhombus is 2
: 5 . Then, the ratio of the area of the rhombus to the
square of the shorter diagonal :
(a) 5 : 4 (b) 5 : 2
(c) 2 : 5 (d) None of these
86. If 3x + 2y = 11 & kx + 4y = 22 are coincide lines find
value of k.
3x + 2y = 11 kx + 4y = 22
k
(a) 5 (b) 6
(c) 0 (d) – 6
87. During the super cyclone in Orissa when wind blew a
coconut tree touched the top of a pole 9 ft. high. The
distance of the pole from the tree 12 ft. After some time
the tree brokedown and touched the bottom of an-
other pole which is 5 3 ft. from the tree. Find the
angle from by the broken part of tree with the ground.
5 3
(a) 30º (b) 20º
(c) 60º (d) 45º
88. A man buys a certain number of oranges at 20 for Rs. 60
and an equal number at 30 for Rs. 60. He mixes them and
sells them 25 for Rs. 60. What is his gain or loss percent?
(a) Gain of 4% (b) loss of 4%
(c) Neither gain nor loss (d) loss 5%
89. A man buys two chairs for a total cost of Rs. 900. By
selling one for 4/5 of its cost and the other for 5/4 of its
cost, he makes a profit of Rs. 90 on the whole transac-
tion . The cost of the lower priced chair is -
(a) Rs. 360 (b) Rs. 400
(c) Rs. 420 (d) Rs. 300
90. The bisector of interior A of ABC meets BC to D
, and the bisecter of exterior A meets BC produced
in E. Then BD
BE = ?
ABC A BC D,
A
BC E BD
BE
(a)CE
CD(b)
CD
CE
(c)AD
AE(d)
AE
AD91. The base radius and height of a cone is 5cm and 25 cm
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respectively. If the cone is cut parallel to its base at a
height of h from the base. If the volume of this frustum
is 110 cm3. Find the radius of smaller cone?
h
(a) (104)1/3cm (b) (104)1/2cm
(c) 5 cm (d) None of these
92. Three girls Sangeeta, Namrata and Mandip are playing a
game by standing on circle of radius 5 m drawn in a park
. Sangeeta throws a ball to Namrata, Namrata to Mandip,
Mandeep to Sangeeta. If the distance between Sangeeta
and Namrata and between Namrata and Mandip is 6 m
each, what is the distance between Sangita and Mandip?
(a) 7.6 m (b) 8.6 m
(c) 9.6 m (d) 4.6 m
93. Two circles with centres A and B of radii 3 cm and 4 cm
respectively intersect at two points C and D, such that
AC and BC are tangents to the two circle. Find the
length of the common chord CD.
A B
C D
AC BC
CD
(a) 4.2 cm (b) 8.4 cm
(c) 2.4 cm (d) 4.8 cm
94. 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 who passed in English and Maths is 16,
Maths and commerce is 24 and English and commerce is
26, and the number who passed in all subjects is 7. Find
the number of the students who failed in all subjects.
(a) 13 (b) 8
(c) 9 (d) 7
95. If the work done by (x – 1) men in (x + 1) days and the
work done by (x + 2) men in (x – 1) days is in the ratio
of 9 : 10, then x is equal to .
(x – 1) (x + 1)
(x + 2) (x – 1)
x
(a) 5 (b) 6
(c) 7 (d) 8
96. In a race of 600 m, A can beat B by 60 m and in a race of
500 m, B can beat C by 25m . By how many metres will
A beat C in a 400 m race?
A, B
B, C
A, C
(a) 56 m (b) 60 m
(c) 58 m (d) 54 m
97. In an examination paper of five questions, 5% of the
candidates answered all of them and 5% answered none.
Of the rest, 25% candidates answered only one ques-
tion and 20% answered 4 questions. If 396 candidates
answered either 2 questions or 3 questions, the number
of candidates that appeared for the examination was
(a) 800 (b) 1000
(c) 850 (d) 900
98. A and B started a business with Rs. 20000 and Rs. 35000
respectively. They agreed to share the profit in the ratio
of their capital. C joins the partnership with the condition
that A, B and C will share profit equally and pays Rs.
220000 as premium for this, to be shared between A and B.
This is to be divided between A and B in the ratio of
A B
C A,
B C
A B A B
(a) 10 : 1 (b) 1 : 10
(c) 9 : 10 (d) 10 : 9
99. In a tank four taps of equal efficiency are fitted on
equal intervals. The first pipe is at the base of the tank.
And the 4th pipe is at 3/4 th of height of the tank. Then
calculate in how much time the whole tank will empty.
If the first pipe can empty the tank in 12 hours.
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ANSWER KEY
1. (c) 2. (d) 3. (d) 4. (b) 5. (b)
6. (c) 7. (c) 8. (c) 9. (c) 10. (a)
11. (a) 12. (c) 13. (a) 14. (b) 15. (c)
16. (d) 17. (a) 18. (a) 19. (c) 20. (a)
21. (d) 22. (d) 23. (b) 24. (b) 25. (b)
26. (b) 27. (d) 28. (b) 29. (b) 30. (c)
31. (a) 32. (a) 33. (d) 34. (b) 35. (b)
36. (b) 37. (a) 38. (c) 39. (d) 40. (a)
41. (b) 42. (d) 43. (b) 44. (a) 45. (a)
46. (a) 47. (a) 48. (b) 49. (d) 50. (a)
51. (c) 52. (a) 53. (c) 54. (c) 55. (a)
56. (d) 57. (d) 58. (c) 59. (a) 60. (c)
61. (a) 62. (d) 63. (a) 64. (d) 65. (b)
66. (d) 67. (a) 68. (d) 69. (a) 70. (c)
71. (a) 72. (c) 73. (a) 74. (c) 75. (b)
76. (c) 77. (a) 78. (c) 79. (c) 80. (c)
81. (d) 82. (a) 83. (d) 84. (b) 85. (a)
86. (b) 87. (a) 88. (b) 89. (d) 90. (b)
91. (a) 92. (c) 93. (d) 94. (c) 95. (d)
96. (c) 97. (a) 98. (a) 99. (a) 100. (c)
(a) 6 hr 15 min (b) 6 hr 30 min
(c) 6 hr (d) 12 hr
100. Two pipe M and N can fill a tank in 1
83
min and 1
122
min respectively and an outler pipe can drain 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 ca-
pacity of tank will be –
M N 1
83
112
2
(a) 916 litre (b) 300 litre
(c) 360 litre (d) None of these
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