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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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