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Saturday, 27 May 2017

IBPS PO 2017 Quantitative aptitude Practice Quiz 52

     
     
     
    1 . A bag contains 6 green, 3 red and 7 yellow balls. 2 balls are drawn at random. What is the probability that all two drawn are of different colors ?

    A.   $13\over40$
    B.   $27\over40$
    C.   $13\over27$
    D.   $14\over27$
    2 . In how many different ways can letters of the word FORMAL be arranged ?

    A.   1440
    B.   360
    C.   720
    D.   540
    3 . In how many different ways can the letters of the word INVITATION be arranged in such a way that vowels always come together ?

    A.   800
    B.   7200
    C.   2400
    D.   3600
    4 . In how many can a group of 6 Man and 3 Women be made out of a total 8 men and 5 women ?

    A.   540
    B.   720
    C.   260
    D.   280
    5 . There are 18 students in a class. Find the number of ways in which 6 students can be chosen to form a group ?

    A.   18612
    B.   18264
    C.   18564
    D.   18628
    6 . Direction (Q.6-10 ) : Study the following information carefully and answer the question given below :

    There are a certain number of candidate appeared for the state level commission examination conducted by three different states Bihar, Jharkhand and Orissa. All of the candidates have cleared at least one states examination. 32.5 % students cleared Bihar's examination, 42.5 % students cleared Jharkhand examination and 54.5 % students cleared Orissa state examination. 9 % students cleared only Bihar and Jharkhand examination, 6 % students cleared only Jharkhand and Orissa examination and 7.5 % students cleared only Bihar and Orissa examination. If total number of students in the group is 800 then answer the following questions.

    How many students cleared all three state–level examination ?

    A.   28
    B.   36
    C.   66
    D.   56
    7 . What is the percentage of students who cleared the only examination conducted by state Bihar ?

    A.   6%
    B.   9%
    C.   12.5%
    D.   15%
    8 . How many students are there who cleared examinations conducted by at least two states ?

    A.   208
    B.   224
    C.   232
    D.   236
    9 . What is the percentage of students who cleared the exam conducted by Jharkhand but couldn't clear the exam conducted by Orissa state ?

    A.   29.5 %
    B.   32 %
    C.   27.5 %
    D.   33 %
    10 . How many students are there who have cleared at most one exam conducted by these three states ?

    A.   514
    B.   508
    C.   524
    D.   592
      Answers & Solutions
       
      1 .    
      Answer : Option B
      Explanation :
      2 .    
      Answer : Option C
      Explanation :
      FORMAL = 6! = 6 × 5 × 4 × 3× 2 ×1 = 720
      3 .    
      Answer : Option D
      Explanation :
      INVITATION
      Among these letters vowels are I, I, A, I, O
      There are 5 Consonant. N V T T N. consider letter all the  letters can be arranged in =$6!\over2! 2! $
      and 5 vowels can be arranged in $5! \over3! $
      Hence, the arrangement is which vowels are always together =$6!\over2! x2! $x$5! \over3! $=180x20=3600
      4 .    
      Answer : Option D
      Explanation :
      5 .    
      Answer : Option C
      Explanation :
      6 .    
      Answer : Option A
      Explanation :
      7 .    
      Answer : Option C
      Explanation :
      Req.%=$100\over800$x100=12.5%
      8 .    
      Answer : Option A
      Explanation :
      Req. number of students = 72 + 48 + 60 + 28 = 208
      9 .    
      Answer : Option D
      Explanation :
      Req.%=$264\over800$x100=33%
      10 .    
      Answer : Option D
      Explanation :
      Req. number of students = 100+ 192 + 300 = 592

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      IBPS PO 2017 Quantitative aptitude Practice Quiz 51

         
         
         
        1 .

        A.   4474
        B.   4734
        C.   4324
        D.   4564
        2 . What is the ratio of average number of students appeared in 2009 and 2012 ?

        A.   69292 : 69432
        B.   69436 : 69643
        C.   69293 : 69436
        D.   69463 : 69293
        3 . Approximately what is the average number of candidate qualified from Haryana from all the years ?

        A.   4418
        B.   4287
        C.   4217
        D.   4116
        4 . What is the difference between maximum number of candidate appeared from Patna and minimum number of candidate appeared from Kolkata from all the years ?

        A.   79668
        B.   79686
        C.   78966
        D.   79669
        5 . In which year the minimum number of candidate qualified from Chennai ?

        A.   2011
        B.   2010
        C.   2013
        D.   2006
        6 .

        A.   177.77%
        B.   176.78 %
        C.   178.87%
        D.   180.82%
        7 . What is the total number of player participating in Cricket from country 4, 5 and 6 and the number of players participating in Football from country 1, 2 and 3 ?

        A.   335
        B.   635
        C.   435
        D.   535
        8 . In which country in the number of player participating in Football is the highest and number of player participating in Badminton is the lowest ?

        A.   Country 3 and 2
        B.   Country 4 and 6
        C.   Country 3 and 4
        D.   Country 5 and 1
        9 . The number of player participating in Badminton from all the country is what percent of total number of player participating in all game from country – 3 ?

        A.   134 %
        B.   164 %
        C.   126 %
        D.   157 %
        10 . 60 % of players participating in all game from country 5 is male and 30 % players participating in all game from country 3 is female. What will be their ratio ?

        A.   127 : 170
        B.   13 : 7
        C.   49 : 27
        D.   87 : 55
          Answers & Solutions
           
          1 .    
          Answer : Option A
          Explanation :
          Approximate number of candidate qualified from Lucknow

          =$7\over100$x35874=2511.18 ≈ 2511

          From chennai =$6\over100$x13650=819

          From Haryana =$4\over100$x28612=1144.48 ≈ 1144

          Total =2511+819+1144=4474
          2 .    
          Answer : Option C
          Explanation :
          Total number of student appeared in 2009 = 485049

          Average=$485049\over7$=69292.71≈69293

          Average number of student appeared in 2012

          =$486052\over7$=69436=69293:69436
          3 .    
          Answer : Option D
          Explanation :
          4 .    
          Answer : Option D
          Explanation :
          Maximum number of candidate from Patna = 89721
          Maximum number of candidate appeared from Kolkata = 10052
          Difference = 89721 – 10052 = 79669
          5 .    
          Answer : Option A
          Explanation :
          6 .    
          Answer : Option A
          Explanation :
          Number of players participating in Cricket from country 4 = 80
          Number of Players participating in Badminton from country 1 = 45
          percentage =$80\over45$x100=177.77
          7 .    
          Answer : Option C
          Explanation :
          Players participating in Cricket from country ( 4, 5 and 6) = (80 + 70 + 60) = 210
          Players participating in Football from country (1, 2 and 3)
          = (65 + 70 + 90) = 225
          Total = 210 + 225 = 435
          8 .    
          Answer : Option A
          Explanation :
          Country 3 has highest number of player in Football and country 2 has lowest number of players in Badminton.
          9 .    
          Answer : Option D
          Explanation :
          Total number of players participating in Badminton = ( 45+ 40 + 95 + 85 +95 + 65) = 425
          Number of player participating in all game from country 3 = ( 90 + 85 + 95) = 270
          percentage =$425\over270$x100=157.4 ≈ 157%
          10 .    
          Answer : Option C
          Explanation :
          Total number of players participating in all game from country 5 = (80 + 70 + 95) = 245
          60 % of 245 = 147 Total number of players participating in all game from country 3 = (90 + 85 + 95) = 270

          30%of 270=81 ratio=$147\over81$=$49\over27$

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          IBPS PO 2017 Quantitative aptitude Practice Quiz 50

             
             
             
            1 .

            A.   80,000
            B.   76,000
            C.   74,000
            D.   78,000
            2 . What is the ratio of voters from city X in constituency H, A and B to the voters from city Y in G, Hand B ?

            A.   14245 : 21528
            B.   7176 : 21528
            C.   21528 : 14245
            D.   21528 : 4735
            3 . Which constituency has maximum number of voters in city X ?

            A.   City B
            B.   City H
            C.   City C
            D.   City F
            4 . Which constituency has minimum number of voters in city X and city Y ?

            A.   City B and C
            B.   City D and F
            C.   City B and E
            D.   City D and D
            5 . Total number of voters from city E, D and C city X is what percentage of total number of voters from constituency F, D and C in city Y ? (Approx)

            A.   72%
            B.   74%
            C.   68%
            D.   76%
            6 .

            A.   19866450
            B.   19876450
            C.   20786450
            D.   20876450
            7 . What is the total number of men population in city D, E and G ? (Approximately)

            A.   8669616
            B.   8684613
            C.   8664614
            D.   8665600
            8 . What is the ratio of men population in city E to female population in city G ? (Approximately)

            A.   81:38
            B.   35:81
            C.   65:81
            D.   45:81
            9 . What is the total number of female population in city F, G and H ?

            A.   7997377
            B.   7973977
            C.   7937797
            D.   7973797
            10 . The number of men population in city D, E and F is what percent of total number of population in the all cities together?

            A.   17
            B.   18
            C.   19
            D.   16
              Answers & Solutions
               
              1 .    
              Answer : Option C
              Explanation :
              Total number of voters in constituency from G, H and C in city X is –

              G=$11.5\over100$x185000=21275

              H=$13.5\over100$x185000=24975

              C=$15\over100$x185000=27750

              (G+H+C)=74000
              2 .    
              Answer : Option A
              Explanation :
              3 .    
              Answer : Option D
              Explanation :
              4 .    
              Answer : Option D
              Explanation :
              5 .    
              Answer : Option D
              Explanation :
              Total numbers of voters from city X (E, D and C)

              =$34\over100$x185000=62900
               
              Total numbers of voters from city Y

              = (27600 + 22080 + 33120) = 82800

              Req.% =$62900\over82800$x100=75.966≈76%
              6 .    
              Answer : Option A
              Explanation :
              Total number of population in city A, B and E =

              village A =$12.5\over100$x45670000=5708750

              Village B=$13.5\over100$x45670000=6165450

              Village E $17.5\over100$x45670000=792250

              Total (A + B + E) = (5708750 + 6165450 + 7992250) = 19866450
              7 .    
              Answer : Option C
              Explanation :
              Total number of Men population in city (D, E and G),

              City D=$4\over12$x$10.5\over100$x45670000=1598450

              City E= $9\over14$x7992250=5137875

              City G =$4\over9$x4338650=1928288.88≈1928289
              total (D+E+G)=8664614
              8 .    
              Answer : Option A
              Explanation :
              9x$17.5\over4$:5x$9.5\over4$=81:38
              9 .    
              Answer : Option D
              Explanation :
              Female population in city F, G and H

              City F = $8\over11$x3881950=2823236.36≈2823236

              City G=$5\over9$x4338650=2410361.11≈2410361

              City H=$4\over11$x7535550=2740200

              Total = 2823236 + 2410361 + 2740200 = 7973797
              10 .    
              Answer : Option A
              Explanation :
              Total number of Men population in city D, E and F.
              = (1598450 + 5137875 + 1058713.6364)
              = (1598450 + 5137875 + 1058714) = 7795039
              =$7795039\over45670000$x100=17.06818≈17%

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              Friday, 26 May 2017

              IBPS PO 2017 Quantitative aptitude Practice Quiz 49

                 
                 
                 
                1 . There are 12 people to be seated around a round table. In how many ways we can arrange them such that 3 particular person A, B and C are all ways together ?

                A.   10 !
                B.   9 !
                C.   10 ! × 3 !
                D.   9 ! × 3 !
                2 . Of the different words that can be formed from letters of word MIRROR, how many begins with M and Ends with O ?

                A.   $6!\over3!$
                B.   6 !
                C.   $4!\over3!$
                D.   $6!\over4!$
                3 . A box contains 10 balls out of which 3 are green and rest are yellow. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 green balls are included in the sample and no sample has all the 6 balls of the same colour ?

                A.   110
                B.   179
                C.   189
                D.   168
                4 . Which of the following values of X satisfy the inequality .
                x (x – 4) < 3 x – 10 ?

                A.   2 < x < 5
                B.   x = 5, x = 2
                C.   8 < x < 11
                D.   None of these
                5 . What would be the maximum value of R in the given equation ?
                3 P 8 + 2 R 6 + 4 Q 5 = 989

                A.   5
                B.   6
                C.   8
                D.   7
                6 . Three pens and 5 books cost Rs 250. Six pens and 2 books cost Rs 130. What is the difference between the cost of a pen and that of a book ?

                A.   35
                B.   45
                C.   40
                D.   20
                7 . Direction (Q. 7-8 ) : For the given equations A and B, give answer, from following options :

                I)${x^2}$ + 6x + 9 = 0 II)${y^2}$+ 9y + 20 = 0

                A.   If x is smaller than y.
                B.   If x is greater than y.
                C.   If x is equal to y.
                D.   If x is either equal to or greater than y
                8 . . I)${4x^2}$– 9x – 9 = 0 II)${2y^2}$ – 13y + 21 = 0

                A.   If x is smaller than y
                B.   If x is greater than y.
                C.   If x is equal to y.
                D.   If x is either equal to or smaller than y.
                9 . If a card is picked up at random from a pack of 52 cards. Find the probability that it is a king or queen ?

                A.   $7\over52$
                B.   $1\over13$
                C.   $2\over13$
                D.   none of these
                10 . Three coins are tossed. Find the probability of no heads ?

                A.   $3\over8$
                B.   $1\over2$
                C.   $2\over3$
                D.   $1\over8$
                  Answers & Solutions
                   
                  1 .    
                  Answer : Option D
                  Explanation :
                  Let those three peoples as single group now 10 objects (9 people and a group) which can be arrange in (10 – 1)! ways = 9 ! ways But 3 person of group can be arranged in 3 ! ways Hence total possible no. of arrangements = 9 ! × 3 !
                  2 .    
                  Answer : Option C
                  Explanation :
                  M and O are fixed at the start and end positions, Hence, we have to arrange 1, R, R, R among themselves ( i.e. in 4 places), and since R is 3 times. This can be done in $4!\over3!$ ways
                  3 .    
                  Answer : Option D
                  Explanation :
                  4 .    
                  Answer : Option A
                  Explanation :
                  x ( x – 4) < 3x – 10
                  =${x^2}$– 7x + 10 < 0 = (x – 2) ( x – 5) < 0
                  ∴this possible when :
                  Case I ; (x – 2 ) > 0 then (x – 5 ) < 0 –––
                  ∴x > 2 and x < 5
                  Case II ; (x – 2) < 0 then (x – 5) > 0
                  ∴ x < 2 and x > 5
                  5 .    
                  Answer : Option D
                  Explanation :
                  3 P 8 + 2 R 6 + 4 Q 5 = 989
                  For maximum value of R, the value of P and Q should be minimum (i.e. zero)
                  ∴308 + 2 R 6 + 405 = 989
                  = 2 R 6 = 989 – 713 →2 R 6 = 276 ∴ R = 7
                  6 .    
                  Answer : Option C
                  Explanation :
                  7 .    
                  Answer : Option B
                  Explanation :
                  8 .    
                  Answer : Option D
                  Explanation :
                  9 .    
                  Answer : Option C
                  Explanation :
                  4 king or 4 queen = 8
                  ∴ Req. probability = $8\over52$=$2\over13$
                  10 .    
                  Answer : Option D
                  Explanation :
                  Sample space, S = ( HHH, HHT, HTH, HTT, THT, THH, TTH, TTT)
                  Number of exhaustive cases = 8
                  Favourable cases is TTT ( no head probability to be found),BR. ∴ P(E)=$1\over8$ ∴ Probability of no heads =$Number of favourable cases\over Number of favourable cases$=$1\over8$

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                  IBPS PO 2017 Quantitative aptitude Practice Quiz 48

                     
                     
                     
                    1 .

                    A.   136%
                    B.   146%
                    C.   73%
                    D.   106%
                    2 . What is respective ratio of the Female Architects and Lawyers to the same Male professionals in the town ?

                    A.   357 : 203
                    B.   1829 : 3213
                    C.   203 : 357
                    D.   103 : 157
                    3 . The total number of Teachers in town are approximately what per cent of the total number of Engineer in town ?

                    A.   80
                    B.   79
                    C.   125
                    D.   115
                    4 . What is the respective ratio of the number of Male Bankers to the number of Male Doctors in the town?

                    A.   43 : 80
                    B.   33 : 70
                    C.   43 : 70
                    D.   33 : 43
                    5 . What is the difference between the number of Female Teachers and the number of Male Lawyers ?

                    A.   1827
                    B.   1717
                    C.   1807
                    D.   1793
                    6 . Direction (Q. 6-10) : Study the following information carefully to answer the questions :

                    In a college has 3000 students, out of which 600 students read only Hindi newspaper. 450 students read only English newspaper and 400 students read only Gujarati newspaper. The number of students reading all the 3 newspapers is 150. Students reading Hindi as well as English newspapers are 200. 300 students read Hindi as well as Gujarati newspapers and 400 students read English as well as Gujarati newspaper.

                    Find the number of Students reading no newspaper ?

                    A.   600
                    B.   450
                    C.   500
                    D.   550
                    7 . How many students read at least 2 newspapers ?

                    A.   1050
                    B.   1250
                    C.   400
                    D.   850
                    8 . Find the number of students reading Gujarati newspaper ?

                    A.   1050
                    B.   1250
                    C.   400
                    D.   850
                    9 . Find the difference between number of students reading English as well as Hindi newspaper and the number of students reading Hindi as well as Gujarati newspaper ?

                    A.   650
                    B.   150
                    C.   250
                    D.   100
                    10 . How many students read only one newspaper ?

                    A.   150
                    B.   900
                    C.   600
                    D.   none of these
                      Answers & Solutions
                       
                      1 .    
                      Answer : Option A
                      Explanation :
                      Female Bankers in town = $40\over100$x$11\over100$x21000=924
                      Female Doctors in town = $30\over100$x$20\over100$x21000=1260
                      ∴Req.%=$1260\over924$x100=136.36%≈136%
                      2 .    
                      Answer : Option C
                      Explanation :
                      3 .    
                      Answer : Option C
                      Explanation :
                      Req. % = $25\over20$x100=125
                      4 .    
                      Answer : Option B
                      Explanation :
                      Number of male Bankers
                      =$11\over100$x$(100-40)\over100$x21000=1386
                      number of female doctor
                      =$20\over100$x$(100-30)\over100$x21000=2940
                      ∴ Req ratio=1386:2940=33:70
                      5 .    
                      Answer : Option A
                      Explanation :
                      Req. difference =$25\over100$x$60\over100$x21000-$9\over100$x$70\over100$x21000=3150-1323=1827
                      6 .    
                      Answer : Option C
                      Explanation :
                      7 .    
                      Answer : Option A
                      Explanation :
                      Req. number of students = 200 + 300 + 400 + 150 = 1050
                      8 .    
                      Answer : Option B
                      Explanation :
                      Number of students reading Gujarati newspaper = 400 + 150 + 300 + 400 = 1250
                      9 .    
                      Answer : Option D
                      Explanation :
                      Req. difference = 300 – 200 = 100
                      10 .    
                      Answer : Option D
                      Explanation :
                      Number of students read only one newspaper = 450 + 600 + 400 = 1450

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