2526 patni placement papers 04

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    Patni Placement Papers:

    1. How many diagonals of different lengths are possible in a convex regular decagon?1)4)!

    ")#4)1$#)"#

    . %hich of the following has the greatest value?1) & log'#)) & log'1#)") log'#)4) log#) &1

    ". (ineteen delegates are participating in a round table conference with a host. woparticular delegates always wish to occupy either sides of the host. *ne particulardelegates wants to sit +ust opposite the host. How many different seating arrangementsare possible?1)'1!),-'1"),)'1),-'),")'1!),-'),4)'1/),-'),#) (one of these

    4. 0n a suare 2356 6 76 8 and % are points on side 236 256 5 and 3

    such that 2: 23 9 27: 75 9 8: 85 9 %: %3 9 :1. urther ; and < are midpointsof 7 and 78 respectively6 while = is a point on % such that =: =% 9 1:. ind theratio of the area of the triangle ive answer '4) if p ? 6 and>ive answer '#) if ? p.

    #. 0. 1!P@ A 1#p A 9 400. "B@A ! A 4 9 C

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    . %hile finding the H of two coprime numbers (1 and (6 the four successiveuotients are #6 "6 ! and $ respectively. ind the greatest number which when it divides to(1 and ( leaves the same remainder in each case.1) 14

    ) 1$"") 1!4) "11#) #1!

    !. *n the portion of the straight line x A y 9 which is intercepted between the axes6 asuare is constructed away from the origin6 with this portion as one of its side. 0f pdenotes the perpendicular of a side of this suare form the origin6 then the maximumvalue of p is1) ) "

    ") 44)#) (one of these

    /. ind the least positive integer which has divisors excluding 1 and the positiveinteger itself.1) 1!C) "4") $C4) !C#) $C

    $. 0f ( 9 '/1)@4 D '4!)@4 then ( is not divisible by1) /!!) /#") 1C4) 1!C#) (one of these

    1C. 5ifferent four&digit numbers are formed with the help of digits C6 6 "6 # and !. indthe sum of all those four&digit numbers.1) "1$!"CC) 4$#CC") "1"!CC4) #4#!CC#) (one of these

    11. here are 1C identical blocEs of cuboids of dimension cm6"cm 6 #cm. he blocEs areEept one on top of the other in a random fashion to form a structure. How many structures

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    of uniue height can be created using these blocEs? '(eglect the instability of thestructure.)1) $) "C") "!

    4) 4#) C

    1. F is a set of triangle such that no two triangles in this set are similar. 2ll triangles in Fare having angles in integral degrees. %hat is the maximum number of different trianglesin F?1) !CC) 1!") "14) 1$/#) anGt say

    5irections 'B. 1"&1!): 2nswer the uestions on the basis of the information given below.2 photo&shoot is to be done involving $ people 26 36 6 56 6 6 >6 H and 0. hey aresitting in a row form left to right6 all facing the camera. *nly " of them are formallydressed. furthermore6 26 and > are males. 5 and 0 are females.3 is a formally dressedmale and is a formally dressed female.Iales and females occupy we select " personsfrom the group such that there is at least one .

    1". 0n how many different ways can we select " persons from the group such that there isatleast one male and that and H are never selected?1) ") "") 44) "4#) anGt say

    14. %hich of the following statements provides sufficient information to determine6 withrespect to each and every person6 whether the person is a male or female and whether theperson is formally dressed or not?1) 0 is a formally dressed male.) H is a formally dressed female.") 2 is a formally dressed male.4) is a formally dressed male.#) (one of these

    1#. 0f H is a male who is not formally dressed6 then which of the following isJarenecessarily false?0. 2 sits sixth from the left in the row.00. 3 sits seventh from the right in the row.000. H sits fourth from the left in the row.08. 5 sits second from the right in the row.

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    1) *nly 0) *nly 00 and 000") *nly 0 and 0004) *nly 00 and 08

    #) *nly 08

    1. 2ssume that is a formally dressed female. 0f all the formally dressed persons mustsit on the three right most seats6 which of the following isJare (* an acceptable sittingseuence's) from left to right?'0) 250>H3'00) >052H3'000) 025H>3'08) H>0253

    1) 06 00 and 08

    ) 00 and 000") 0 and 084) 00 and 000#) (one of these

    1!. Ket be a male who is formally dressed. he photograph would not turn out to begood if three or more persons who are not formally dressed sit together. %hich of thefollowing informationLs isJare sufficient to infer the position at which sat'from left) in a photograph that turns out to be good?0. he formally dressed person sat fifth from the left.00. he formally dressed person sat second from the right.000. he formally dressed person sat first from the right.08. he formally dressed person sat third from the right.

    1) *nly 0) 0 and 08") 00 and 0004) 000 and 08#) *nly 08

    5irections 'B. 1/&): 3elow in each uestion are given two statements '2) and '3).hese statements may be either independent causes or may be effects of independentcauses or of a common cause. *ne of these statements may be the effect of the otherstatements. Mead both statements and decide which of the following answer choicescorrectly depicts the relationship between these two statements.IarE answer 1): in statement '2) is the cause and statement '3) is its effect.IarE answer ): if statement '3) is the cause and statement '2) is its effect.IarE answer "): if both the statements '2) and '3) are independent causes.IarE answer 4): if both the statements '2) and '3) are effects of independent causes.IarE answer #): if both the statements '2) and '3) are effects of some common cause.

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    1/.2.

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    #) Ms. 1$6!C

    #. he length of a rectangle increases by CO and the breadth by "CO. hen theperimeter of the rectangle will increase by 1) #O) #O

    ") O4) 5ata inadeuate#) (one of these

    2(F%MF: 1. ') . '") ". ') 4. '1) #.'4) . '1) !. ') /. '#) $. '#) 1C.'") 11. ') 1. '1) 1". '4) 14. '4) 1#. '") 1. '1) 1!.'") 1/. '#) 1$. ') C.'4) 1. '1) . ') ". ') 4. ') #. '4)