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  1. #341
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    Post TestFunda Answers - Algebra


    After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the

    envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper

    envelope?

    After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into theenvelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
    Options
    1) 
    0
    2) 
    12/212
    3) 
    11/12
    4) 
    1/12

  2. #342
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    Last edited by vimbloid; 22-Nov-10 at 5:47 PM.

  3. #343
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  4. #344
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    Post TestFunda Answers - Algebra

    Maximum handshakes are 9 as :
    Suppose  1 shakes hands with 2
          2 with 3
    .....7 with 8
    Now let 8 shake hands with 10
    and 10 shake hands with 9
    Thus we get 9 handshakes and no cycle of hand shakes  


  5. #345
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    Post TestFunda Answers - Algebra

    Take a2 in the set now a1 and a3 have shaken hands with him.a4 has not so we take a5 in the set thus a4 and a6 have shaken hands with the set but a7 has not so we take a8...thus we leave a gap of two people and select the third person in the set. So answer is 36/3 = 12 

  6. #346
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    Post TestFunda Answers - Algebra

    We can see that
    3 comes in the units place 64 times
    tens place 64 times
    hundreds placfe 64 times
    Thus total no. of times 3 used is 192 

  7. #347
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    Post TestFunda Answers - Algebra

    Here the data about the distance is of no use.
    For radius of 1 m if dart is inside the circle of 1/2 m radius the dart is closer to center than periphery
    so area of 1/2 m circle is pie/4
    area of board is pie
    So probability = 0.25 

  8. #348
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    Post TestFunda Answers - Algebra

    option 2, 2.5%
    Assuming x as tax rate.
    3990 - 2790 * x = 4020 - 4020 * x + 0.75
    1230 * x = 30.75 

  9. #349
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    Post TestFunda Answers - Algebra


    A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction

    and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely.

    The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare

    increase its speed so as to tie the race?

    A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one directionand the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely.The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hareincrease its speed so as to tie the race?
    Options
    1) 
    40
    2) 
    37.80
    3) 
    8
    4) 
    5

  10. #350
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    Post TestFunda Answers - Algebra


    There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed

    to move the balls between the boxes so that when you choose a box at random and a ball at random from the

    chosen box, the probability of getting a red ball is maximized. This maximum probability is

    There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowedto move the balls between the boxes so that when you choose a box at random and a ball at random from thechosen box, the probability of getting a red ball is maximized. This maximum probability is
    Options
    1) 
    3/4
    2) 
    14/19
    3) 
    37/38
    4) 
    1/2

  11. #351
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    Post TestFunda Answers - Algebra


    A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4

    faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain

    unpainted?

    A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 4faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?
    Options
    1) 
    900
    2) 
    488
    3) 
    500
    4) 
    800

  12. #352
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    Post TestFunda Answers - Algebra


    Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a

    line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is

    denoted by n1(P). The maximum value of n1(P) over all configurations P of 19 points in the plane is

    Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by aline; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P isdenoted by n1(P). The maximum value of n1(P) over all configurations P of 19 points in the plane is

  13. #353
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    Post TestFunda Answers - Algebra


    Alok and Bhanu play the following min-max game. Given the expression

    N = 38 + X*(Y – Z)

    where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu

    would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a

    variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the

    value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal

    strategies, the value of N at the end of the game would be

    Alok and Bhanu play the following min-max game. Given the expressionN = 38 + X*(Y – Z)where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanuwould like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for avariable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute thevalue. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimalstrategies, the value of N at the end of the game would be

  14. #354
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    Post TestFunda Answers - Algebra

    Maximum value will be 19 it will occur when all points are aligned in a circle

  15. #355
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    Post TestFunda Answers - Algebra

    Any which way u arrange the probability will be 1/2
    for 10 red in 1st box and 10 green in 2nd box
    probability of picking red = 1/2 * 1 + 1/2 * 0 = 1/2
    you can try for all combinations 

  16. #356
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    Post TestFunda Answers - Algebra

    After tortoise covers 1/5th distance hare starts the race
    When hare covers 1/8th of distance tortoise meets hare
    So distance covered by tortoise = 1-(1/5 + 1/8)
           = 27/40
    Time taken by both is same
    time = dist/speed
    So (dist/ speed) of tortoise = (dist / speed) of hare
    let speed of tortoise be t and of hare be h
    27/40t = 1/8h
    h = (40/(8*27) )* t = 5/27 * t  
    Now for the next part hare has to cover 7/8 th distance when tortoise covers 1/8 th distance
    so we get
    1/8t = 7/8h
    h = 7t
    so the factor by which h's speed increases =  7t/ (5/27 * t)
    which we get as 37.8 

  17. #357
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    Post TestFunda Answers - Algebra

    Fermat's Last Theorem is a statement in number theory which states that it is impossible  to separate any  power higher than the second into two like powers , or, more  precisely - If an integer n is greater than 2 then equation a^n b^n=c^n has no solutions in non zero intergers a,b,c Now  if the different of any two numbers is 9 then their product is 17 . what is the sum of squares ?
    Options
    1) 
    43
    2) 
    45
    3) 
    98
    4) 
    115

  18. #358
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    Post TestFunda Answers - Algebra

    We have x = y = 9
    and xy = 17

    => y = 17/x

    putting it in the above equation we have

    x - 17/x = 9

    => x^2 - 9x - 17 = 0

    solving we have  x = 10.6

    and y = 1.6

    now sum of squares = 115

    hence option 4 
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    Post TestFunda Answers - Algebra

    A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says:" Exactly n of the statements of this sheet are false ". which statements are true and which statments are false ? 
     

    Options
    1) 
    The even numbered statements are true and the odd numbered statements are false
    2) 
    The 39th statement is true and the rest are false
    3) 
    The odd numbered statements are true and the even numbered statements are false
    4) 
    All the statements are false.

  20. #360
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    Post TestFunda Answers - Algebra

    From the given data we see that each face of the cube gives us 25 cubes
    So 6 faces gives us 150 cubes
    4 faces are painted so in 100 small cubes 1 face is painted 5 faces are not painted
    500 faces are not painted
    in remaining 50 cubes 6 faces are not painted = 300 faces not painted
    So total 800 faces are not painted 

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