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26. A man travelled a distance of 80 km in.7 hrs partly on foot at the rate of 8 Ian perhour and partly on. bicycle at 16 km perhour. The distance travelled on the foot is(A) 32 km (B) 48 km(C) 36 Ian (D) 44 Ian

27. The frequency distribution data is givenbelow. If the average age is 17 years, thevalue of m isAge (in years) 8 20 26 29

, Number of people 32m 1

(A) 1 (B) 2 (C) 3 (D) 4

28. The average monthly expenditure of afamily for the first four months is~ 2570,for the next three months ~ 2490 and forthe last five months ~ 3030. If the familysaves '~ 5320 during the whole year, theaverage monthly income of the familyduring the year is(A) ~ 3000(C) ~ 3200

(B) ~ 3185(D) ~ 3580

29. After replacing an old member by a newmember, it was found that the average ageof five members of a club is the same asit was 3 years ago. The difference betweenthe ages of the replaced and the newmember is(A) 2 years(C) 8 years

(B) 4 years(D) 15 years

30. A. man spends ~ 1800 monthly Lon anaverage for the first four months and~ 20QO monthly for the next eight monthsand saves ~ 5600 a year. His average,monthly income is(A) ~ 2000(C) ~ 2400

(B) ~ 2200(D) ~ 2600

31. The arithmetic mean of the followingnumbers1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6 and 7, 7, 7, 7, 7, 7, 7 is .(A) 4 (B) 5 (C) 14" (D) 20

32. The average of 6 numbers is 20. If onenumber is removed, the average becomes15. What is the number removed?(A) 5 (B) 35 (C) 112 (D) 45

33. An item costing ~ 200 is being sold at 10%loss. If the price is further reduced by 5%,the selling price will be(A) ~ 170 (B) ~ 171(C) ~ 175 (D) ~ 179

34. A shopkeeper buys 144 items at 90 paiseeach. On the way 20 items are broken. Hesells the remainder ate 120 each. His gainper cent correct to one place of decimal is(A) 138% (B) 146%(C) 148% (D) 158%

35. There is a profit of 20% on the cost priceof an article. The % of profit, whencalculated on selling price is

(A) 16t% (B) 20%

(C) 33t % (D) None of these, 36. By selling an article for ~ 102, there isa

loss of 15%, when the article is sold for~ 13440, the net result in the transaction is(A) 12% gain (B) 12% loss(C) 10% loss (D) 15% gain

37. Two toys are sold at ~ 504 each. One toybrings 'the dealer a gain of 12% and theother a loss of 4%. The gain or, loss percent by selling both the toys is

(A) 3 {3 % profit (B) 4 153% profit

(C) 5 /3% profit (D) 213% loss .SPACE FOR ROUGH WORK '

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38. A sold a horse to B for ~ 4800, by losing20%. B sells it to C at a price which wouldhave given A a profit of 15%. B's gain is(A) ~ 1800 (B) ~'1900

,(C) ~ 2000 (D) ~2100

39. If each side of a cube is increased by 10%the volume of the cube will increase by," "

,(~~ 30% (B) 10%(C) 331% (D) 25%

40. A reduction of 21% in the price of an itemenables a person to buy 3 kg more for~ 100. The reduced price of item per kg is

(A) ~ 550 (B) ~ 750

(C) ~ 1050 ,(D) ~ 700

41. The number that is to be added to 10% of320 to have the sum as 30% of 230 is

(A) 37' (B) 32, (C) 23 (D) 73

42. 'The strength' of a school increases anddecreases in every alternate year by 10%.It started With 'increase in 2000. Then thestrength of the school in 2003 as comparedto that in 2000 was

(A) increased by 89%

'(B) decreased by 89%, ,

(C) increased by 98%(D) ,decrea~:ed"by 98%

43. Two trains of equal length are running onparallel Jines .in the same direction at the

, rate of 46kffi/hi and 36 km/hr. The faster, 'ira~p~Jd~~tl1e, sl

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61. A large solid sphere is melted and mouldedto form identical right circular cones withbase radius and height same as the radiusof the sphere. One of these cones. ismelted and moulded to form a smaller solidsphere. Then the ratio of the surface areaof the smaller to the surface area of thelarger sphere is(A) 1: 34/3 (B) 1: 23/2{C) 1: 32/3 (D) 1: 24/3

.62. Two sides 'of a plot measuring 32 m and24 .m and the angle between them is aperfect right angle. The other .two sidesmeasure 25 m each and the other threeangles are not right angles. The area of theplot in m2 is(A) 768(C) 6965

(B) 534(D) 684

63. a and b are two sides adjacent to the right'angle of a right-angled triangle and p is the

. perpendicular drawn: to the hypotenuse fromthe opposite vertex. Then p2 is equal to

a2b2(C) (D) a2 -. b2. a2 +b2

64. A conical cup is filled with ice-cream. Theice-cream forms a hemispherical' shape onits open top. The height of the hemi-spherical part is 7 ern. .The radius of thehemispherical part equals the height of thecone. Then the volume of the ice-cream is

[K= 2iJ(A) 1078 cubic em (B) 1708 cubic em(C) 7108 cubic em (D) 7180 cubic cm

65. A is the centre of circle whose radius is 8and B is the centre of a circle whosediameter is 8. If these two circles touchexternally, then the area of the circle with .diameter AB is . .(A) 36 K(C) 144 K

(B) 64 7r(D) 256 K

66. If a2 +b2 + C2 = ab + be + ae then the valuef a+e .a -- IS

b(A) 0 (B) 2 (C) 1 (D) -1

67. If ab + be + ea = 0 then the value of

(1 1 . 1 ).

2 +2 +2 ISa =bc b - ea . e - ab

(A) 0(C) 3

(B) 1(D) a+b+e

68. If (2+.J3) a = (2 -.J3) b = 1 then the value

f1 1. .

a -+- ISa b

(A) 1 ' (B) 2 (C) 2.J3 (D) 4

69. If 3x+~ = 1 then x3 +i-+ 1 isx x

(A) 0 (B) 2~ (C) i7 (D) ~~70. The factors of (~ + 4b2 + 4b - 4ab - 2a - 8)

are(A) (a - 2b - 4)(a - 2b + 2)(B) (a-b+2)(a-4b-4)(C) (a + 2b - 4)(a + 2b + 2)(D) (a + 2b - 1)(a -2b + 1)

SPACE FOR ROUGH WORK

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MANNER IN WHICH ANSWERS ARE TO BE GIVEN~~cft~

Directions: Each question or incomplete statement ~~T: ~ >J~ ~ ~ 3f~ ~ ~ ~ -:;::m:is followed by four alternative suggested ~nswers ~ ~ ~ Cfi~ ~ If'Ct~ 1 ~ G~TTifor completions. In each case, you are required 3fl11Cit fcRft cit ~ \iIT ~ ~to select the one that correctly answers the question 1:% ~ ~ ~ CfiT ~~I ~ ~or completes the statement and blacken [_] ~ ~ cit ~ ~ 3ftt 3fl11Cit ~-~ ifappropriate oval A, B, C or D by Black/Blue Ball- ~ 3{O?)ICflF(~. A, B~ C JCfiT{~ ~ ~I

There is only one correct answer to each question.You should blacken [.] the' oval of the appro-priate column, viz., A, B, C or D. If you blacken[_] more than one oval against anyone question,the answer will be treated as wrong. If you wish tocancel any answer, you should completely erasethat black mark in the oval in the Answer Sheet,and then blacken the oval of revised response ..

You are NOT required to mark your answers in thisBooklet. All answers must be indicated in theAnswer Sheet only,

Example:

Question No. 'Q' -

Out of the four words given below, three are alike insome way and one is different. Find the ODD word:

(A) Girl

(B) Boy

(C) Woman

(D) Chair .

Explanation : In the above example, the correctanswer is 'Chair' and this answer has beensuggested at 'D'. Accordingly, the answer is tobe indicated by blackening [_] the oval by Black/Blue Ball-point Pen in column 'D'against QuestionNo. 'Q' in the manner indicated below:

Question No. 'Q'

[A] [B] [C] . [e,]

\3ql~i(OI :. , ,>J~i{~. ~ -

-;:fRt ~ ~ -:;::m:~~ if ~ J ~-~ ~am1:% J 3f