Mixed Quantitative Aptitude Questions Set 209

  1. Two trains are running at 80kmph and 40 kmph respectively n the same direction. Fast train completely passes a man sitting in the slower train 10 seconds.What is the length of the fastest train?
    200
    222.22
    124.9
    300.3
    243.8
    Option B
    Relative speed= ( 80- 40 )kmph= 40 kmph
    = 40* 10/18 m /sec= 200/ 9 m/sec
    length of the fastest train= 200/9 * 10 = 2000/9 = 222.22 m

     

  2. A hunter shoot a gun twice at an interval of 50 seconds. A passer in a bike moving towards the gun and hears the gun fire at an interval 48seconds. If the speed of the sound is 672 m/s then what is the speed of the bike?
    28
    24
    25
    26
    27
    Option A
    Distance travel by sound = 2 seconds = distance travel by the passer
     672 * 2 = S * 48
     =>S= 28 m/s

     

  3. Three persons running clock wise around track and their time periods to run a circle are 2 min, 6 min, 10 min respectively. Find the time interval after which they meet for the first time at the starting point?
    20
    25
    30
    35
    33
    Option C
    LCM( 2, 6, 10) =30
    Hence every 30 minutes they will meet at starting point.

     

  4. Two men can do a piece of work in x days. But y women can do it in 3 days . Then yhe ratio of the work done y 1 man and 1 woman is :
    2y:2x
    2y:4x
    5y:x
    3y:2x
    3y:5x
    Option D
    1 man’s 1 day’s work = 1/2x
    1 woman’s 1 day’s work = 1/3y
    So, Required ratio = 1/2x : 1/3y = 3y: 2x

     

  5. Three persons are doing a piece of work for Rs. 600. First and third person are completes 38/ 46 of the work together . What is the amount got by the second person?
    104.35
    102.3
    108.9
    107.50
    115
    Option A
    Work done by the second person = 1- 38/46= 8/46
    Second person amount = 8/46 * 600 = Rs. 104. 35

     

  6. Dal worth Rs. 126 per kg and Rs. 135 per kg mixed with the third variety in the ratio 1:1:2. And if the mixture dal is worth Rs. 153 per Kg, Then find out the cost of third variety per kg ?
    115.50
    175.50
    125.90
    150
    154.50
    Option B
    Let the cost of third variety will be Rs. x
    Then 126+ 135 + 2x / 4 = 153
    =>2x= 612-261=351
    =>x= Rs. 175.50

     

  7. Shalu and Kala can complete a work in 6 days. They started together but after 4 days due to some problem kala left the work. If the work is completed after 4 more days, kala could do the work in how many days?
    3/11
    3/7
    3/8
    3/5
    3/12
    Option E
    ( two members) 4 days work = 4* 1/6 = 4/6
    Remaining work = 1-4/6= 2/6
    Shalu will complete 2/6 work in 4 days.
    Shalu will complete 1 work in 12 days.
    Shalu 1 day’s work = 1/12
    kala 1 day’s work = 2/6 – 1/12 = 3/12.

     

  8. The respective ratio between the present ages of A and B is 6:11. Four years ago the ratio of their ages was 1:2, respectively. What will be B’s age after five years?
    45
    44
    46
    49
    43
    Option D
    Let the age of A= x
    Age of B= y
    =>x/y= 6/11
    =>x= 6y/11
    given x-4/ y-4 = ½
    =>2x-8 = y-4
    =>2 *6y/11 – 8 = y-4
    =>12y/11 – y = -4+8
    =>y = 44 yr
    Age of B after 5 years = 44 + 5 = 49 yr.

     

  9. Arun can complete a piece of work in 12 days. Arun and Balu together can complete the same piece of work in 8 days .In how manys , can B alone complete the same piece of work?
    22
    23
    24
    25
    26
    Option C
    Arun’ s 1 days work = 1/12
    ( Arun + Balu) ‘ s 1 day’ s work = 1/8
    Balu’ s 1 day’s work = 1/8 – 1/12 = 1/24
    So balu can do the work in 24 days.

     

  10. Person 1 can complete a piece of work in 24 days. Person 2 is 20% more efficient than Person 1. Person 3 is 25% more efficient than person2. In how many days Person 2 and 3 together can complete the same piece of work?
    5 1/5
    6 1/7
    8 8/9
    10
    15
    Option C
    Here, Person 1 can complete the work in 24 work in 24 days.
    Person 2 can complete the same work = 24/120 *100 = 20 days.
    C can complete the same work = 20/125 * 100 = 16 days
    So B and C can finish this work = ( 20* 16)/( 20+16) =320/36 = 8 8/9 days

     

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