Quant Test for LIC AAO Prelims Exam Set – 13

Banya
  1. C is 40% more efficient than B who is 25% more efficient than A. If A,B and C together can complete a work in 35 days. How many days B alone can complete 75% of the work?
    60 days
    92 days
    75 days
    84 days
    66 days
    Option D
    Let the number of units of work done by A alone in one day = x units
    Number of units of work done by B alone in one day = 1.25x units
    Number of units of work done by C alone in one day = 1.25x *1.40 = 1.75x
    units Total work =35*(x + 1.75x + 1.25x) = 140x units
    Time taken by B alone to complete 75% work = (0.75*140x)/1.25x = 84 days

     

  2. A and B started a business together with initial investments of Rs.12000 and Rs.15000 resp. If after one year, profit shares of A and B are Rs.(x+120) and Rs.(x+250) resp. Find the total profit of A and B taken together.
    Rs.1440
    Rs.1352
    Rs.1170
    Rs.1154
    Rs.1250
    Option C
    Ratio of profit shares of A and B = 12000:15000
    = 4:5
    Now, (x+120)/(x+250) = 4/5
    =>x = 400
    Total profit share of A and B together = 400+120+400+250
    = Rs.1170

     

  3. 1120 litres of a mixture of milk and water , the ratio of milk and water present in the ratio of 5:2 resp. After addition of some amount of water to it, the ratio of milk to water in resultant mixture becomes 2:1 resp. Find the quantity of water added to the mixture.
    100 litres
    80 litres
    70 litres
    90 litres
    60 litres
    Option B
    Quantity of milk in mixture initially = (5/7)*1120
    = 800 litres
    Quantity of water in mixture initially = 1120 – 800 = 320 litres
    Let the quantity of water added be x litres.
    800/(320+x) = 2/1
    =>x = 80 litres

     

  4. The respective ratio of speed of Ram and Shyam is 4:3. Prabhu can travel a distance of 840 km in 14 hours. If the speed of Shyam is 20% less than the speed of Prabhu. What will be the time taken by Ram to travel a distance of 512 km?
    9 hours
    8 hours
    10 hours
    7 hours
    6 hours
    Option B
    Speed of Prabhu = 840/14 = 60 km/hr.
    Speed of Shyam = 0.8*60 = 48 km/hr.
    Speed of Ram = (4/3)*48 = 64 km/hr.
    Required time = 512/64 = 8 hours

     

  5. Pipe A and B can fill a tank together in (60/7) minutes. If pipe A is 33.33% more efficient than pipe B, find the time taken by pipe A alone to fill the tank.
    15 minutes
    14 minutes
    16 minutes
    13 minutes
    12 minutes
    Option A
    Let the efficiency of pipe B be 3x.
    Efficiency of pipe A = 4x
    Time taken by pipe A and B alone to fill the tank is 3x minutes and 4x minutes resp.
    1/3x + 1/4x = 7/60
    =>x = 5
    ime taken by A alone to fill the tank = 3x = 15 minutes

     

    6. Directions(6-10): What approximate value will come in place of question mark ‘?’ in the following questions.

  6. 28*2 *864 /(2916)^1/2 = ? + 540
    356
    313
    342
    320
    300
    Option A
    28*2 *864 /(2916)^1/2 = ? + 540
    =>28*2 *864 * 1/54 = ? + 540
    =>896 – 540 = ?
    =>? = 356

     

  7. 125% of 7/6 of ? = 84% of 1250
    771
    840
    865
    700
    720
    Option E
    125% of 7/6 of ? = 84% of 1250
    =>5/4*7/6 *? = 84/100* 1250
    =>? = 84/100*1250*4/5*6/7
    =>? = 720

     

  8. 544/16*32 – 766 + 224 = ?
    520
    515
    560
    546
    581
    Option D
    544/16*32 – 766 + 224 = ?
    =>544*1/16*32 – 766+ 224 = ?
    =>1088 – 766 + 224 = ?
    =>? = 546

     

  9. 88% of 1850 + 35% of 2400 = ? + 758
    1528
    1660
    1710
    1684
    1744
    Option C
    88% of 1850 + 35% of 2400 = ? + 758
    =>0.88*1850 + 35*24 = ? + 758
    =>1628 + 840 – 758 = ?
    =>? = 1710

     

  10. 56% of 616 – ?% of 482 = 103.66
    32
    44
    41
    50
    64
    Option D
    56% of 616 – ?% of 482 = 103.66
    =>0.56*616 – ?/100*482 = 103.66
    =>344.96 – 103.66 = ?/100*482
    =>241 = ?/100*482
    =>? = 50

     


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