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    GENERAL KNOWLEDEGE

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    1. Who among the following has been appointed the

    National

    Security Adviser by the UPA Government ?

    (a)Brajesh Mishra

    (b)J. N. Daxit

    (c)Soli J. Sorabjee

    (d)T. K. A. Nair

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    Ans: ( b ) J. N. Daxit

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    2. Who among the following is thenew Chief Minister of Karnataka ?

    (a) S. M. Krishna

    (b) Uma Bharti

    (c) Dharam Singh

    (d) Y. S. Rajasekhara Reddy

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    Ans:( c ) Dharam Singh

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    3. Who among the following haswon the Miss Universe 2004crown ?

    (a) Jennifer Hawkins

    (b) Shandi Finnessey

    (c) Alba Reyes

    (d) None of these

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    Ans:( a ) Jennifer Hawkins

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    4. A solemn ceremony to mark the60th Anniversary of D-Day

    landings of the Allies troops during the

    Second World War, was held in

    (a) Pearl Harbour

    (b) Normandy (c) New York

    (d) Lisbon

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    Ans: ( b ) Normandy

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    5. Which of the following cricketersholds the world record

    of maximum number of sixes in Tests

    ? (a) Chris Carins (New Zealand)

    (b) Viv Richards (West Indies)

    (c) Sachin Tendulkar (India) (d) Wasim Akram (Pakistan)

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    Ans:( a ) Chris Carins (NewZealand)

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    6. Who among the following hasbeen appointed the new Chief

    Justice of India ?

    (a) Justice Rajendra Babu

    (b) Justice V. N. Khare

    (c) Justice R. C. Lahoti (d) None of these

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    Ans: ( c ) Justice R. C. Lahoti

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    7. Who among the following sportspersons got the honour of

    lighting the Olympic flame at the Major

    Dhyan Chand Stadium in New Delhi recently ?

    (a) Anjali Bhagwat

    (b) Abhinav Bindra (c) Viswanathan Anand

    (d) K. M. Beenamol

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    Ans:( a ) Anjali Bhagwat

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    8. Who among the following hasbeen appointed new chairman

    of the National Commission forFarmers ?

    (a) Ajit Singh

    (b) K. C. Pant

    (c) Dr. M. S. Swaminathan

    (d) Sharad Pawar

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    Ans:( c ) Dr. M. S. Swaminathan

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    9. Which of the following planetscrossed the face of the

    sun (in transit) after 122 yearsrecently ?

    (a) Mars

    (b) Venus

    (c) Jupiter

    (d) Saturn

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    Ans: ( b ) Venus

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    10. Which of the following countrieswas readmitted to the

    Commonwealth recently ?

    (a) Nepal

    (b) Myanmar

    (c) Pakistan (d) None of these

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    Ans: ( c ) Pakistan

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    11. The world governing body ofwhich of the following

    sports celebrated its 100 years inexistence recently ?

    (a) Football

    (b) Hockey

    (c) Badminton

    (d) Cricket

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    Ans:( a ) Football

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    12. Who among the following wonthe men?s singles title of

    the French Open 2004 ?

    (a) Guillermo Coria

    (b) Roger Federer

    (c) Andy Roddick (d) Gaston Gaudio

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    Ans:( d ) Gaston Gaudio

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    13. Who is India?s first WomanGrand Master in Chess ?

    (a) Aarthie Ramaswamy

    (b) Koneru Humpy

    (c) S. Meenakshi

    (d) S. Vijayalakshmi

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    Ans:( b ) Koneru Humpy

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    14. The age of a tree can bedetermined by

    (a) Measuring its height

    (b) Measuring its diameter

    (c) Analyzing its sap

    (d) Counting the annual growthrings of its stem

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    Ans:( d ) Counting the annualgrowth rings of its stem

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    15. Which one of the following pairsis not correctly matched ?

    Mountains Continents

    (a) The Rocky : NorthAmerica

    (b) The Andes : South

    America

    (c) The Alps : Europe

    (d) The Ural : Africa

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    Ans:( d ) The Ural : Africa

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    19. The deepest oceanic trench ?Mariana? is located in

    (a) Atlantic Ocean

    (b) Arctic Ocean

    (c) Pacific Ocean

    (d) Indian Ocean

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    Ans: ( c ) Pacific Ocean

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    20. Although fog consists of fine dropsof water, we cannot

    see clearly through it because

    (a) The light rays undergo totalinternal reflection in the drops (b) Fine drops of water in fog

    polarize the light (c) The fine drops are opaque to

    the light (d) The drops scatter most of the

    light

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    Ans: ( d ) The drops scattermost of the light

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    21. During the Mughal period, whichone of the following

    were the first to come to India as

    traders ?

    (a) Portuguese

    (b) Dutch

    (c) Danish

    (d) English

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    Ans:( a ) Portuguese

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    24. A rift valley is formed mainly dueto

    (a) The forces of tension in the

    earth?s crust (b) The subsidence of the floor

    of a river valley

    (c) The valley formed after theformation of fold mountains

    (d) The deepening of a valley byice action

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    Ans:( a ) The forces of tension inthe earth?s crust

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    MATHEMATICS

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    1. Two trains, each two miles long,enter two one mile long tunnels thatare two miles apart from one anotheron the same track. The trains enter

    the tunnels at exactly the same time.The first train is going 5 miles/hour,and the second train is going 10miles/hour. What is the sum of the

    lengths of the two trains that willprotrude from the tunnels at the exactmoment that they collide, assumingthat neither train changes its speedprior to collision? The trains are on the

    same track headed in opposite

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    . 2 2/3 miles. The trains are exactly 4miles apart. Their combined speed is15 miles/hour, so it will take them 16minutes to collide. The first train willhave travelled 1 1/3 miles, so 1/3 mileof it will be out of the tunnel in front,& 2/3 mile of it will be out in the backon collision. The other mile of it will bein the tunnel. The second train willhave travelled 2 2/3 miles, so only 1/3mile of it will still be in the tunnel, so1 2/3 miles of it will be out of thetunnel.

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    2. You have a box that fits inside of a boxthat fits inside of a box that fits inside of abox that fits inside of a box, for a total of 5boxes. Assume that no two boxes can fit

    inside of a box, unless one is inside of theother (e.g. the two smallest boxes couldnot fit inside of the largest box, unless thesmallest box was inside of the secondsmallest box), & the boxes cannot be

    altered (e.g. folded, cut, or torn). Usingonly these 5 boxes, how many differentarrangements are there to place a gift inthe boxes, if the gift can only be inside ofthe smallest box that is being used?

    Example: The gift in the second smallestbox inside of the largest box would be 1

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    2. Let's number the boxes 1 through5. The number of arrangements can

    be found by counting out all of thepossible arrangements of thenumbers 1, 2, 3, 4, & 5, but only for

    those numbers that are in ascendingorder (1, 2, 3, 4, 5, 12, 13, 14, 15,23, 24, 25, 34, 35, etc.), for a total of31 different arrangements.

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    3. Solve the preceding problem for 6boxes.

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    63.

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    4. If the same functions are appliedto reach the results in each of thethree sets of numbers, find what

    number should replace the ? in thelast set:21 5 28 13 16 2 24 30 ? 17 7 25 7

    10 8

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    4. 30. In each set, the differencebetween the two leftmost numbersis divided by two, and then

    multiplied by the sum of the tworightmost numbers. The product iswritten in the middle for each set.

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    5. You have 1,432 feet of fence thatmust be strung out in a straightline. A fence post must be placed

    for every 4 feet of fence, so howmany fence posts will be needed?

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    5. 359. If you answered 358, youmust remember that the fencemust begin & end with a post, &

    dividing 1,432 by 4 leaves one endwithout a post.

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    6. If you take 7, then 17, & then 8from me, you have 160. But if you

    take 6, then 17, then 8 from me,you have 170. Finally, if you take 1,then 4, then 1 from me, you have

    762. What am I?

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    6. This was a tricky problem. The answer is17625. In the first situation, you take 7,which leaves you with 1625 (taking the inthe sense of removing it, & not

    subtracting it from the number as awhole), subract 17, & you have 1608, thentake 8, which leaves you with 160. For thesecond situation, you take 6 from 17625,which leaves you with 1725. Subtract 17,& you now have 1708, & if you removethe 8, you have 170. In the last situation,remove 1, so you have 7625. Subtract 4,& you have 7621. Remove the 1, & you

    have 762. This may be the most difficult

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    For problems 7-10, replace the ? in eachseries of numbers with the mostappropriate number.

    7. 18, 14, 12, 11, ?, 10.258. 11, 12, 26, 79, 81, 163, 491, 492, ?9. 4, 1.33, 4.17, 1.39, 4.36, 1.45, ?10. 7, 0, 5, 8, 8, 2, 3, ?

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    7. 10.5. You divide the number shown & then add 5 foreach step in the sequence.8. 986. The sequence goes multiply by 1 & then add1, multiply by 2 & then add 2, multiply by 3 & add 1,multiply by 1 & add 2, multiply by 2 & add 1,multiply by 3 & add 2, & then the sequence repeats.9. The sequence goes divide by 3, then multiply bypi, divide by 3, multiply by pi, etc. But only the first2 numbers following the decimal are written down,& used for the next step in the sequence.

    10. 5. The numbers shown are the digits followingthe decimal when you divide 12 by 17.

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